diff --git "a/data/dm_maths/full_data_2/21_11255.jsonl" "b/data/dm_maths/full_data_2/21_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/21_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h(o) = 4*o. Let t(g) = 2*g**2 + 725. What is h(t(w))?\nAnswer: 8*w**2 + 2900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3488709155 - 5*w + 3488709151 + 5*w - 39*w**2.\nAnswer: -39*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -32. Solve 20 = -s*f - 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 2*r - 38. Give s(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -72, -105, -160, -243, -360?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 272 - 2*w**2 + 93 + 32 - 2*w**3 + w**3 + w. Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 15*q + 32. Let c be y(-12). What is the common denominator of -59\/34 and -1285*(-1)\/330 + c?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12947\/6 + -2148. Calculate the common denominator of b and -127\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/39 + ((-48)\/(-9) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*322\/1380*2\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 180*l - 5224. Calculate n(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - -4.6. Let n = -5.6 + i. Let g be ((-3)\/(-7))\/(3\/(-2)). Which is the nearest to g? (a) -2\/9 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/(m*(m\/(m*m**5*m*m))\/m)*m*m**(2\/9)*m**(-10)*m)**27 assuming m is positive.\nAnswer: m**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 818032908 a multiple of 5334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 2.3. Let y = 11.967 - 6.967. What is the closest to 0.04 in b, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3\/3 + 8668*l**2\/3 + 1566740*l + 1563852 = 0. Calculate l.\nAnswer: -1083, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (22 + -1 - (14 + -29 + 20)) + 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r**2 + r - 38. Give d(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Suppose -3*k = -5*j + 7, 5*j + 0*k = -3*k + 13. Let g(c) be the first derivative of -5*c**j - c**2 + 25 + 13*c**2 - 6*c**2. Give o(g(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238.8 - 241. What is the nearest to w in -2, 2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41410332 (base 5) to base 2.\nAnswer: 1010011010101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or 10734631?\nAnswer: 10734631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 14, -0.37, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 521?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -0.076256.\nAnswer: -0.533792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**3 + 8*g**3 - 9*g**3 - 18*g**3.\nAnswer: -45*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + 23696495952\/(-216). What is o rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5)*20*(-11)\/176. Which is the second smallest value? (a) 4 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 37. Suppose -15 = -5*c - 0*c. Let r(l) = l**3 - 2*l**2 + l + 1. Calculate the remainder when o(0) is divided by r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5226 - 0.82\nAnswer: -0.2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Suppose 2*p = -n*p - 10. Let o be 0\/2 + p + 9. Solve o*v = -0*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x. Let n(m) = m + 80. Let b(a) = -2*a - 228. Let d(h) = -3*b(h) - 8*n(h). Give d(o(v)).\nAnswer: 8*v + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*c + 4*n, -4*n = 31 + 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260648967 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90cf (base 16) in base 2?\nAnswer: 1001000011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1894 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-3\/16)*v))\/v**8)\/((v*v**(-9)*v)\/v*v*v*v**23*v))**20 assuming v is positive.\nAnswer: v**(-2065\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 8 - 121) + -3. Let o = -116 - n. Sort -3, -12, -4, o in decreasing order.\nAnswer: o, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -39. Let x = -18 - f. Suppose 5*i = 3*i + x. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429766*a - 344*a**2 + 1429766*a - 207*a**2.\nAnswer: -551*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 25 in ascending order.\nAnswer: -1, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11207662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 4*i - 70. Let n = 20.25 + -19.95. Which is the second biggest value? (a) 1\/4 (b) 2 (c) i (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -0.1, 2, -0.4, -2082?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 - -0.3. Let s = 48\/11 - 188\/33. Let w = 190 + -1332\/7. Sort s, f, w in increasing order.\nAnswer: f, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12535 - 3340 = 0. List the prime factors of x.\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 140393676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 953 - -3030. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*b**3 - 4*b**2 + 5*b**2 - b**2.\nAnswer: 131*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572 by -12833.\nAnswer: 572\/12833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/2 - 1943*o**3\/2 - 990591*o**2\/2 - 42408765*o\/2 + 1162718550 = 0.\nAnswer: -945, -84, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 13*l + 25 = 17*l, 28*l = 5*s - 65 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5632852141 to the nearest integer?\nAnswer: 75052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 4*j - 4. Let v be l(-1). Suppose -4*d + 21 = 5. Suppose 0*a = a - d. Solve 0 = p - v - a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3277, 0, -4 in descending order.\nAnswer: 0, -3.3277, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 5. Suppose m + 14 = -4*x. Let o = -0.3 + 1.3. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150065 (base 8) in base 4?\nAnswer: 31000311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 4*l - 3*s, -4*l + 69*s - 90*s - 35*s - 876 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w - 3*w - 2*w + 2*w + 4*w - 5*w + (-w + 2*w + 2*w)*(-2 + 0 + 4))*(159 - 30 - 26 + 109) as q + d*w and give d.\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(288) + 1)*-2 + (-1 + sqrt(288))*4 + sqrt(288))*-4)**2.\nAnswer: -5472*sqrt(2) + 41833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g. Calculate the smallest common multiple of 3 + 6 + g + -2 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:02 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(27)*-1.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7122 - -4?\nAnswer: 7126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2185794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*i**3*z + 2*i**3 + 21*z wrt i.\nAnswer: -87*i**2*z + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 + 5*v**2 - v. Let l(r) = -24 + 6*r + 2*r + 4*r - r**2. Let m = 58 + -48. Let t be l(m). Let j(p) = 2*p**3 + 4*p**2 - p. Give t*y(u) + 5*j(u).\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61557 + -24376. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/5)\/a*a)\/a*a*a*a*a*(a*a**3)\/a*a)\/((a\/(a**(2\/5)*a)*a*a*a)\/a*a*a**(3\/5)) assuming a is positive.\nAnswer: a**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:49 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -222*m + 5077. Calculate g(25).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-30958)\/3450 - 23.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7217.\nAnswer: 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) -5 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45526 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -234.1 and 0.798?\nAnswer: 234.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/60 + y**4\/8 + y**3\/6 + 856*y**2. Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 5*d - 4*d + 2*d**3 - 3*d**3 - 8 + 2*d**2 - d**4 in the form n*d**4 + b*d**2 + f*d**3 + h*d + l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6678726906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-13)\/26)\/(2*4\/(-68))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3 + c**2 - 20*c = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5228836 is divided by 1847?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108725? (a) 4 (b) 0.2 (c) -4 (d) -1.5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**3*y**2 + 1336*s**3*y + 12*s**3 - 191*s**2 + 3*s - y**2 wrt y?\nAnswer: -2*s**3*y + 1336*s**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((((-2)\/(-2))\/((-2)\/10))\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33\/44 - (-2462)\/(-16)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725421769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*d - 10 = 0, -2*d - 8 = -2. Suppose -3*c + 2*r = c - o, 2*c + 4*r = 6. Suppose -2*b + 27 = h, -7 = c*b + 3*h - 76. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((88\/16)\/(-11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 - 4 + 4*c**2 - 3 + 8*c**2. Let a = 11 - -1. Suppose -p + 5*p - a = 0. Let r(t) = -5*t**2 + 6. What is p*o(s) + 4*r(s)?\nAnswer: -2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*w - 68*w + 26*w - 284*w**2 + 11*w as g*w**2 + t*w + d and give g.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 2*f**3 + 0*f**3 - f**4 + 3*f**2)*((6 - 11 - 19)*(0 + 2 - 5) + 3 + 10 - 3).\nAnswer: 82*f**4 - 164*f**3 + 246*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 1\/2 (b) -6 (c) 76.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 150 = z - 83, 227 = 3*g - 2*z. Solve 0*p + g = 11*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiqk when four letters picked without replacement from {i: 1, k: 3, q: 13}.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2526.15*9\nAnswer: -22735.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -127097.48.\nAnswer: -127097.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-8)\/(-231))*12644\/9483.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32395 + -32394.9971806. What is a rounded to 5 dps?\nAnswer: 0.00282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - f4824?\nAnswer: -f4825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1980, -3932, -5884, -7836, -9788, -11740?\n\"Answer: -1952*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 25 = 2*w. Let y be 4\/w + 86\/18. Let m be (-4)\/8 + y\/2. Solve 0 = -m*p - 5 - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6752 + 4730. Let o = -1106 - x. What are the prime factors of o?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 89 - 14 = 0. Let u = f - 12. Suppose -24 = -w - u. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 2*z + 35 + 36 - 3*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2963 in -5, 2\/9, -2, -415\/4?\nAnswer: -415\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 - -7348462896?\nAnswer: 7348461196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - 48. What is the highest common factor of 418 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 2 - 81*v.\nAnswer: -81*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(17\/(6069\/14))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011821545 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344 and 23898.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 0*l)*(1 - 2*l**2 - 1) - 56*l**3 + 61*l**3 - 3 + 9*l**2 + 0*l**3.\nAnswer: 9*l**3 + 9*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 117\/12 + (-6)\/8. Let j(r) = 6*r + 3. Let q be j(-2). Let v = q + c. Solve 5*k - n + 2*n = -13, v = -n - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 3*y + 2*x, 0 = -3*x + 3. Let s = -2 + y. What is the units digit of ((-3)\/(-3))\/(s\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (220\/(-264))\/(1\/57). Is -47 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*2)\/sqrt(12))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788.984 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 - (-1748)\/(-115)) + 22\/(-40). Which is the second biggest value? (a) -0.5 (b) 5 (c) -4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**7\/210 + c**5\/40 - 4*c**3 + 2. Let w(a) be the third derivative of o(a). What is the second derivative of w(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/((-22)\/176). What is the nearest to x in -1\/2, -1\/5, 2\/15, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -105 (b) 4 (c) 0.4 (d) 1\/16 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*r - 2*r**2 + 21*r)*(r - 4*r - 3*r)*(-109 - 67 + 38 - 76) in the form o*r**3 + v + n*r**2 + l*r and give o.\nAnswer: -2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271 + 15879788660.\nAnswer: 15879788389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -1, -227\/3 in decreasing order.\nAnswer: 0.5, 0.3, -1, -227\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**4*v**3 - 31680*u**3*v**3 + 62*u*v**3 + 12*u + 9*v**3 wrt u.\nAnswer: -24*u**2*v**3 - 190080*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 4:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7\/6, 43, 4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 482 (b) 3\/4 (c) -0.06 (d) 0.4 (e) -703\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*a + 3*w, -4*w + 3 = -a + w. Let t be ((-2)\/a)\/((-4)\/(-30)). Suppose 2*q = 5*z + 29, 0 = 2*q + 4*z - 286 + 302. Solve -q*y = -t*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-32)\/(d*d*d*d\/d**(1\/4)))\/((d\/(d**44\/d))\/((d**(-6)*d)\/d*d*d)) assuming d is positive.\nAnswer: d**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -121.1, -5, -3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2745*p - 5041. Is h(16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146819, 146804, 146785, 146762, 146735, 146704?\nAnswer: 146669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {f: 3, z: 2, d: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 15) to base 5.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 2*b + 33*b + 61 = 2*y, 0 = 5*b - 8*y - 45 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3619.873 + -3620. Which is the third biggest value? (a) w (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*t + 1398*t**3 + 208*t - 632*t + 218*t.\nAnswer: 1398*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219 and 19491.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -2*p - 1\/4*p**2 + 0 + 1\/6*p**3 - 1\/24*p**4. Solve k(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180843*i**2 - 60085*i**2 - 60251*i**2 - 60260*i**2.\nAnswer: 247*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3902 - 558004792.\nAnswer: -558000890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -131*q**2 + 2*q - 3. Calculate k(1).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6737 rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110 - 91 + 48 + 34*d**3 + d**4 with respect to d.\nAnswer: 4*d**3 + 102*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123109, 246283, 369533, 492865, 616285?\nAnswer: 739799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26 (b) 2 (c) 19 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161174093.\nAnswer: 17, 19, 229, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 418 - 92 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (0 - (-4)\/10). Let n be (-2 - -5) + 1589\/(-7). Let q = n - -223. Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308908 is divided by 119?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgw when four letters picked without replacement from gwwgwwwwgw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146024056727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038423001 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:35 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5503 - 5503.00010728. What is h rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -142*x**2 - 14*x - 23. Let a be c(-8). Is 3*(a\/(-6) - 11\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234 + -229. Let o(b) be the second derivative of 0 + 0*b**3 + 2*b + 0*b**4 + 1\/20*b**t - 1\/2*b**2. Differentiate o(n) with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00673 rounded to four decimal places?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 899 and 27318.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -210, -209, -208, -207, -206?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -291024 divided by -6?\nAnswer: 48504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**3 - 39*o**2 - 261*o.\nAnswer: -24*o - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.608 take away 305219313?\nAnswer: -305219313.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44956 is divided by 5525?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(324)*-5)*5.\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 3. Let l be w(2). Let a be (l - 9\/4)*44. Let s = -33 - a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/g)\/g*g*(g**0\/g)\/g*g*g**(2\/11)*(g*g\/(g*g**(-2\/5)\/g))\/g*(((g**(-3\/4)\/g*g)\/g)\/(g\/g**(-1\/5)*g))**(-1\/34) assuming g is positive.\nAnswer: g**(-5371\/67320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 + 11*i**2 + 8*i - 17. Calculate the remainder when 2269 is divided by f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g = 49*g + 24474. Suppose 16*s = 817 + g. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -11, 88 in ascending order.\nAnswer: -11, -8, -2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b\/(b\/b**(-10\/3))*b*((b*b**8\/b)\/b)\/b*b)\/(b**5*b*b*b)**(-32\/5) assuming b is positive.\nAnswer: b**(883\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*i - 56 = 29, 0 = 5*k + 5*i - 325. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 948?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346455196 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6600 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*m**2 - 311 + 148 + 164 + 139*m**5 wrt m?\nAnswer: 8340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444290367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 9815972.\nAnswer: 9815974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/7 - 6*t - 1003\/7.\nAnswer: (t - 59)*(t + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*y - v, v - 21 = -y + 5*v. Calculate the greatest common divisor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10689326537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -13*j + 14*j. Let l be (j\/8)\/(3\/24). Suppose 5*d + t - 12 = 0, 2*d - 7 = -3*t + 3. Solve -d*w + 26 = 2*h + l*w, w = 3*h - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 + 5. Let l be j(0). Let a(d) = d**2 + 7*d - 7. Is 10 a factor of a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lluululluuul.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38a41 (base 16) in base 6?\nAnswer: 4550025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 0*t - 293 + 207\/2*t**2 + 0*t**4 + 1\/3*t**3 + 18\/5*t**5. Find the second derivative of x(f) wrt f.\nAnswer: 216*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34667 - 19151 = 71*j. Which is greater: -770 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*((sqrt(1053) - -3*sqrt(1053)) + 0 + sqrt(78)\/(-3*sqrt(864))))**2*-4.\nAnswer: -174410600\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 + l - 1. Let u be n(2). Let s = -92 - -89. Sort 5, u, s in decreasing order.\nAnswer: 5, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -565, 0.09, 2, 1 in descending order.\nAnswer: 2, 1, 0.09, -9, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 7517, -2, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7327235 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d - 4. Let p be u(-3). Let a = -10770 - -10775. Solve a*x - p = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1025*i**2 - 56*i - 161. Is z(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 10*b - 23. What is l(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a factor of 3123241225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 4, -3, -5\/2, -83, 0.121, -1?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*v**5 + 119*v**5 - 75*v**5 - 254*v**2 + 64*v**5 wrt v?\nAnswer: 15300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - (-3 + (2 - -4)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Let i(f) = 60*f - 30. Give 30*h(c) + i(c).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 - 3*b**2\/2 + 15*b - 12.\nAnswer: -3*(b - 2)*(b - 1)*(b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491.224 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 40 = -4*d - 96, 3*d + 5*o - 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 6d?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/24 + 5*m**3\/2 + 15*m**2. Differentiate a(v) with respect to v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -643 + 640. Let x(p) = -p**2 - 6*p - 6. Let s be x(-6). Let f be (-1 - -2)*(-8)\/s. Which is the second biggest value? (a) d (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204.7 + 205. What is the nearest to 4 in 2\/5, 5\/6, x?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1. Let b(h) = h**3 - 5*h**2 + 2*h + 2. Calculate b(a) + 2*u(a).\nAnswer: a**3 - 5*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*65\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 17*h - 418. Suppose 3*g = g + h. Let c = -7 + g. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/210 and -101\/336?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 12*w - 32. Let z be r(-14). Let t(m) be the second derivative of m**4\/12 + 2*m**3\/3 + m. Give t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013516029 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887544 is divided by 940?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 24. Let k = -778\/217 + 120\/31. What is the closest to -0.04 in k, w, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.88 times -3.4\nAnswer: 152.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026382 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -29. What is the tens digit of (-1 + -1)\/(6\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4. Let s be f(0). Let a(z) = 4*z - 25. Let p(n) = 2*n - 13. Let k(c) = 3*a(c) - 7*p(c). Let x be k(10). Sort s, x, 2.\nAnswer: x, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:45 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7783533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*q + 7 = -1382*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -63*m - 6. Let o(g) = -26*g - 3. Let x(i) = -3*d(i) + 7*o(i). Suppose -a - 3*a = -8. Give x(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a + 2*a. Let u(m) = 2*m**2 - 3*m - 3. Let l be u(a). Suppose 3*r + 6 = l*r, 0 = -3*n + 5*r + 56. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*a*d*u + a*d + 139*a*o*u + 69*d*o*u - 2*d + 7*u wrt o.\nAnswer: 139*a*u + 69*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35.7297 + -35.53. Let i = 0.2 - a. What is i rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123599397 > 123599397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56277 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((2 - 0) + -1). Suppose z + 8 = 3*k + 1, -n*z = -3*k + 11. Put -1, 5, k in descending order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*g = 168*g + 175*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and 1210367.62722?\nAnswer: 1210367.48722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80967 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 - -157)*(-22)\/(-198)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**6\/6 - 5*x**4\/2 - 85*x**2\/2 - 173. What is the second derivative of t(k) wrt k?\nAnswer: 20*k**3 - 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.037 + 28.037. Let y = -28.5 + n. What is the biggest value in y, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + 69 + -35 - (27 - -2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 less than -0.1?\nAnswer: 66.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oaoooaoooo?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 10*y**2 - 8*y + 9. Let x be f(-9). Suppose x = 15*g - 13*g - 6. Suppose 0*k - 204 = -2*k + 4*z, 0 = g*z. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45 - 48)*(0 - 4\/6). Let y = -287 - -431. Suppose z*b - y = -2*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 662*v + 8600. Determine g(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50827?\nAnswer: 7, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - ((10 - 13) + 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.7144, 1, 2, 4 in increasing order.\nAnswer: 0.7144, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 186*l**3 + 545*l**2 + 732*l.\nAnswer: l*(l - 183)*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 52.9, 0.3, 22118 in descending order.\nAnswer: 22118, 52.9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 + 2*c**3 + 5*c**2\/2 + 40. Let p be a(-5). Solve p = 2*o - 0 - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-176)\/(-24))\/22)\/(3\/(-2))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 4 + 2 - 4 + 3 as v*i**2 + g*i + o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -4 + 5\/2. Let r = 0.37 - 0.4. Let t = r + 5.03. What is the closest to l in t, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 23. Let b be y(12). Suppose -9 = 2*m - b. Let d(s) = -3*s - 10. Let i be d(m). Solve 3*r = i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfmq when four letters picked without replacement from {f: 5, z: 9, k: 4, m: 1, q: 1}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 17*t**2 - 14*t - 20. Let h be z(16). Solve 0 = -q - 3*q - 2*m - 16, 0 = 2*q - m + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/5 + 328*v**4\/5 + 130*v**3 + 324*v**2\/5.\nAnswer: 2*v**2*(v + 1)**2*(v + 162)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 27, 41, 53, 63, 71, 77?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -1.1. Let z = -0.1 - -0.3. Let x = z - 0.6. What is the closest to 2\/7 in l, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1834 and 98?\nAnswer: 12838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*h + 3*h**2 + 31*h - 3 + (2*h - 4*h + 3*h)*(6*h - 4*h - 4*h) - 5*h**2 + h**2 + 2*h**2.\nAnswer: -h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1258899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28*s + 22. Let z(a) = -13*a - 10. Let d(g) = -4*x(g) - 9*z(g). Calculate d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.8 + 39. Let f = -0.3 + 1.1. Let a = f + q. What is the second smallest value in a, 0.06, 2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13177289*l**3*u**2 + l**2*u + 15*l*u**2 - u**2 - 180*u + 24 wrt l?\nAnswer: 79063734*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76410 + 1?\nAnswer: -76409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4240 and 0.4.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 - 391?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + t - 4*t + (-t + 0 + 0)*(-3 + 4 + 0) - 4*t + t - 13*t + (1 + 1 - 1)*(-5*t + 0*t + 6*t) - 4*t - 1 + 1.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 95 = 5*t + 29, 3 = -3*t. Let a = r - 4. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1189 by 1.\nAnswer: -1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 913\/(-249)*(5 + 1). Let t(u) = -2*u**3 + 11*u + 11. Let y(g) = g + 1. Calculate w*y(x) + 2*t(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i = -2*n + 166, -4*n - 1 + 4 - 5 - 1 = -4*i + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18886467 (base 9) to base 13.\nAnswer: 1c9b36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 345817, 691627, 1037437, 1383247, 1729057, 2074867?\n\"Answer: 345810*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - 1)) + (-62 - -39 - -14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 15856*j**2 + 15857*j + 2. Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 20*q**3 + 21612*q**2 - 8648*q = 0?\nAnswer: -1081, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 0.036.\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p - 3. Suppose 0 = -6*a - 96 + 114. Suppose 1 = -g - a*m - 2, -2*m = 3*g - 5. Give v(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 1\/12*x**4 + 4*x**2 + 1\/2*x**3 + 0*x + 0. What is the tens digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o - 64. Let f be j(6). Suppose -21*g = -f*g - 38. Solve -2*z - 3*n - 33 = g*n, -4*z + n = 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151 - -332. Let d = -120 + a. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 20, 2*r - r - 43 = -2*p. Let l(s) = -10*s + 966. Let a be l(27). What is the highest common divisor of p and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1086588 and 126.\nAnswer: 7606116","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -1 (b) 0.708 (c) -661\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.532739 micrograms?\nAnswer: 0.000008532739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141035859 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93923249 or -93923256?\nAnswer: -93923256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/8)))\/(b**(-3\/8)*b))\/(b*((b\/(b\/((b\/(b*b**5*b))\/b)*b))\/b)\/b*b**(-8)) assuming b is positive.\nAnswer: b**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -251787 or -251785?\nAnswer: -251785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y**2 + 59*y + 4479. Let p(b) = 837*b**2 + 1122*b + 85104. Let n(t) = 39*f(t) - 2*p(t). Differentiate n(a) with respect to a.\nAnswer: 84*a + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Let x(p) be the second derivative of 0*p**4 - 1\/10*p**5 + 0 + g*p**3 - 1\/2*p**2 - 2*p. What is the derivative of x(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -2*v, -5*v + 10 = -0*v - 3*l. Suppose -4*m + 10 = -2*m. Suppose -m*c = -c - 100. What is the highest common divisor of v and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c - 70. Let p(k) = -5*k - 72. What is 6*p(v) - 7*s(v)?\nAnswer: -2*v + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*((2*(2*sqrt(1900) + sqrt(1900)))**2 + ((-2*sqrt(38))\/sqrt(2) + 1*sqrt(1216))**2)*-1.\nAnswer: 2487024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 - 8*i**2 + 49*i**2 - 5*i**2 - 19*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8 = s - 3, 0 = -y + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let x(o) = -41*o + o**2 + 69 - 30*o - 4*o**2 - 9*o**2 - 68. Determine x(i(u)).\nAnswer: -12*u**4 - 71*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*u**3 - 25*u**3 - 43*u**3)*(2*u**2 - 5*u**2 + u**2)*(3 - 4 - 2).\nAnswer: -258*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 + 1228\/7. Which is the second smallest value? (a) 4\/11 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, f: 1, b: 2, x: 8}. Give prob of sequence xb.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*q = -29, 2271*p - 2274*p - 33 = -4*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2614*l**3 - 6 + 2615*l**3 + 27*l + 6.\nAnswer: l**3 + 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-396))\/((-22)\/33))\/(1\/((-12)\/2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 71. Let r(c) = -2*c**2 - 12*c - 44. Let g be r(-5). Let l = g - v. Solve -l = -4*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5732.\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(50)\/(sqrt(10)*2))**2 + 1 + -3 + sqrt(5) + 1 + 3.\nAnswer: 3\/4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 204, 385, 554, 711, 856?\n\"Answer: -6*t**2 + 199*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25255 and 30306.\nAnswer: 151530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*o**2 - 253*o**2 + 414*o**2.\nAnswer: 974*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2. Let o(q) = -24*q**2 + 68*q. Let v be (102\/(-5))\/((-102)\/120 + 1). Let f(u) = -u**2 + 3*u. Let w(d) = v*f(d) + 6*o(d). Give g(w(h)).\nAnswer: -320*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*-15*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -274 + 382. Suppose -8 = -29*y + w. Solve -i - 6 - 2 = y*a, 2*i - 8 = 4*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 3*d + 3. Let h be a(2). Let v be (h - 3)*3\/(-63). Let m = 13 - 13. Which is bigger: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:37 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.5 + -17. Which is the third smallest value? (a) 10 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109587068 by -54793534.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1304683957*m - 2609367905*m + 1304683946*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b - 216. Let n be s(-9). Let x = 294 + n. Calculate the remainder when x is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 < 705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1357\/598 + 33\/(-176)*(13 - 1)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101210220022 (base 3) to base 13\nAnswer: -75b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 772*o + 139221 = 1140*o - 357*o for o.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - -20 - (10 + 8 + -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/20 - l**4\/16 - 9. Determine w so that b(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 153860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.78 + 2.28. Let q = -7 - 1. Let o = q + 9. What is the smallest value in h, o, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3454*-1)\/((-16)\/(-7)). Let u = k + 1514. What is the common denominator of -29\/6 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let i(f) = -885413*f - 11. Calculate t(i(p)).\nAnswer: -885413*p - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i + 106. Let o(w) = 15*w - 107. Let y(q) = 5*h(q) + 4*o(q). Let v be y(10). Solve -2*z - g + 7 = 0, 3 = -g + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 v(t) be the third derivative of 0 - 1\/24*t**4 - t**2 + 2\/3*t**3 + 0*t. Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69788, -69765, -69722, -69653, -69552, -69413?\n\"Answer: n**3 + 4*n**2 + 4*n - 69797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101393 + 101390. Let o(i) = 2*i**2 + 0*i**2 + i**2 + 4 + i. Calculate o(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 304?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(1 - 30\/(-8)). Let s = 18 + i. Is s smaller than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:23 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 4312 = -81*p - 335*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5474 and 4.\nAnswer: -21896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 103676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 12. Which is the second smallest value? (a) -1 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172 or 170?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*p + 1820. Suppose 5*z = z + p. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1341014?\nAnswer: -1341020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416580.\nAnswer: 2, 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 times 76?\nAnswer: 68704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7657, 3645, 3 in descending order.\nAnswer: 7657, 3645, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/13 (b) -3 (c) 2 (d) 2.303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let q(o) = -o**2 - 2*o - 2. Let m be q(-2). Let p be y(m). Does 4 divide 52\/6 + p\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9373*22.82\nAnswer: 213891.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 67. Let m(g) = g**2 - 2*g - 1. Let c be m(-1). Suppose 4*o - t + 4 = 0, 0 = -2*o + 3*t - c. Sort -2, o, d in ascending order.\nAnswer: -2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 709072*m**4 - m**2 - 863*m + 28 wrt m?\nAnswer: 17017728*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - i - 28 = 9*b, 0 = -2*i - 2 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145.8 + 239.1. Let o = x + -100. Let y = o + 7.95. Round y to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 7, n: 2}. What is prob of sequence bff?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 16405?\nAnswer: 475745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4762*19\/(-14) + 352\/1232 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = l. Suppose 0 = -q + 6 - 3. Let g = 2 - 4. Sort q, g, l in descending order.\nAnswer: l, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 33296952?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - -30230077?\nAnswer: 30230045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2076295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7726238*a + 12064. Let r(f) = 25626*f + 40. Calculate -1508*r(j) + 5*u(j).\nAnswer: -12818*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11038413677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 15*i**2 - 2*i + 34. Suppose -12 = -3*u + 21. Suppose -16*d + 75 = -u*d. Let t be z(d). Solve -1 = -t*w + n - 0*n, -3*n + 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1287*r + 1576*r - 867 = 0. Let v = 76 + -149\/2. Solve 0 - 9\/2*o**5 - 6*o**4 + v*o**3 + 0*o + r*o**2 = 0 for o.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3\/5 + 108*z**2\/5 + 672*z\/5 + 1216\/5 = 0. Calculate z.\nAnswer: -19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59950?\nAnswer: 2, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1026\/74923?\nAnswer: -1026\/74923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/15 bigger than 18\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33155 + 9*d**3 - 33155.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 3*d + 2*d**2)*(-241 + 677 - 283) as w*d + c*d**2 + i and give c.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udmd when four letters picked without replacement from dmud.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.8. Let s = -195.1 + 195. What is the closest to s in -2, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284 + 107. Suppose l = -307 + 41. Let q = f - l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 1. Let o(k) = -2*k. Let y(a) = -3*l(a) + 5*o(a). Let s be y(3). Suppose 8*u = 4*u - 20, -3*b + 4*u + 41 = s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51.8 - 4.8. Let a = x + -20. Let m = a - 24. What is the closest to 2\/9 in -0.1, 4, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, -1\/7, -2, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 10. Let f = 6\/85 + 231\/340. Which is the closest to k? (a) f (b) 7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 0.32 (c) 0.151 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 - 3*v - v + 2*v. Let m be g(-2). What are the prime factors of (18\/4)\/(m\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.3, -10, 3, 2\/217?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*v - 9, 0 = 6*b - b + 4*v - 29. Suppose b = 5*l - 10. What is the smallest common multiple of l and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -355 - -354.6. Are m and 59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 18*w. Let a be x(-4). Let l be (a\/(-32))\/((-2)\/(-32)). Solve -4*n + l = -0*r + 4*r, 0 = 5*n + 2*r - 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.39293 less than -9?\nAnswer: -10.39293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/120 + 5*g**4\/48 + g**3\/2 + 238*g**2. Factor t(j).\nAnswer: (j + 2)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c5 + -5?\nAnswer: -6ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2, -3*u = 2*u + x + 18. Which is the third biggest value? (a) -0.4 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-5*sqrt(425))**2)*1 - sqrt(136)\/(sqrt(768)\/sqrt(6)).\nAnswer: 3*sqrt(17)\/4 + 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/8)\/(1\/(-4)). Suppose -j*o + 7 = -13. Find the second derivative of 4*x + 3*x**o - 7*x - 1 + 1 wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-4) - (-3)\/(-2). Let f be n - (1 + 1 - 2). Suppose q - 5*o - 40 = 0, -5*o = -4*q + f + 95. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.46, -1\/5, -4, 3\/53 in descending order.\nAnswer: 3\/53, -1\/5, -0.46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2114 - 2113.28085. Round z to three dps.\nAnswer: 0.719","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/382311211 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.63307874 to 2 dps.\nAnswer: 19.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 1, m: 6}. What is prob of picking 1 p and 2 q?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 31381\/5981?\nAnswer: 31381\/5981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371152 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yavi when four letters picked without replacement from iijiyojyovyayjj.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1061*a**3 - 262*a**3 - 1033*a**3 + 2850*a + 117*a**3 - 134*a wrt a.\nAnswer: -13434*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g*l*r**2*x - 6*g*l*r**2 + 4*g*l + 45*l*r**2*x - l*r*x + l*x + 2*r**2*x with respect to g.\nAnswer: 6*l*r**2*x - 6*l*r**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -1, 3, -17.\nAnswer: -17, -5, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202.5 - -203. What is the nearest to 0.1 in a, 2\/11, -9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbbf when four letters picked without replacement from {w: 3, f: 2, b: 6, v: 2, m: 1}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/(-341) - 9540\/28050\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:28 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258642 is divided by 86169?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1206589 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*j - 20 = 0, -24 = -5*x + j + 26. Suppose -3*b - 5*a + 56 = 10, -15 = -b - 2*a. What is the smallest common multiple of x and b?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -3*t + 5*t. Suppose 0*g = -3*g + t. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y*y\/(y**9\/y))\/y)*y)\/(y\/y**(-1)))**(4\/11)*((y\/(y*y**(-1\/3)*y))\/(y*y\/y**(-2)))\/(((y*y\/y**(2\/3))\/y*y)\/(y*y**(-1)*y*y)) assuming y is positive.\nAnswer: y**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(-4*sqrt(119)*3 + sqrt(119))\/(-1*sqrt(343)).\nAnswer: 55*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43131*c**5 + 2*c**4 + 18*c**2 + 170*c - 3 wrt c.\nAnswer: 2587860*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 21 + 20 + 677*w**2 - 59 as l*w**2 + c*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/49 or 44650?\nAnswer: 44650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*-2*sqrt(65)*-2*5)\/(sqrt(15)\/(-2*sqrt(3)) + -4*sqrt(5)*-3).\nAnswer: -720*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 11*y + 16 = t, 15 = 5*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2973167 (base 11) to base 7.\nAnswer: 61225430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-15*l**3 + 23*l**3 - 20*l**3) in the form g*l**3 + w*l + n + j*l**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 4*n**2 - 18*n + 11. Calculate the remainder when 77 is divided by g(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/3 - 3*k**2 - k - 22. Let x be y(3). Solve -3*t - 3*s = x, 2*t = 5*t + 2*s + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 694*a - 1698. Give h(3).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1064 - -1067. What is the nearest to -1\/3 in -4, 10, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455934 (base 10) in base 7?\nAnswer: 3606153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y - 28. Let s be (1 + 5)\/2 + 6\/y. Suppose 0 = 5*v + f - 36418 + 4921, s = 4*v - 4*f - 25212. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 7*i - 6*i - 4, -2*k + i = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -81 (c) -0.03 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*u**2 + 712\/5*u + 2172\/5 = 0. Calculate u.\nAnswer: -3, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999949603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 178b3da0?\nAnswer: -178b3d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 24 = -4*z, -3*p + 24 = -5*z. Suppose -29*w + p = -28*w. Are w and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, -0.11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -27, 106, 2 in increasing order.\nAnswer: -27, 2, 8, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308192\/1741 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29526 is divided by 29007.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -73*x + 2. Let k(d) be the second derivative of -d + 5 + 1\/12*d**4 + 0*d**2 + 0*d**3. What is h(k(i))?\nAnswer: -73*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + (sqrt(17) - sqrt(51)\/sqrt(3))**2)) + 0 + 4 + (1*sqrt(34)\/sqrt(2) + -5)**2.\nAnswer: -10*sqrt(17) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60, -54, -48?\n\"Answer: 6*f - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162812 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302661?\nAnswer: 3, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Product of -170 and -34.\nAnswer: 5780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x + 2*x**2 - 2*x**2 + 2*x**2 + x**2 + (-2*x + x**2 + 2*x)*(3 - 4 - 1) + 0*x**2 - 3*x**2 + x**2 + (0*x - 5*x + 4*x)*(-x - 2*x + x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a + 1931 = 147 + 744 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l\/(l\/l**4))))**(-23)\/(l\/l**(-6)*l*l**(-12)*l*l) assuming l is positive.\nAnswer: l**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91\/2 of a century?\nAnswer: 54600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -595*j. Let z be u(-12). What is z rounded to the nearest one hundred?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915783?\nAnswer: 971, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 336*f**3 + 1032*f**2 + 1040*f + 348.\nAnswer: -4*(f - 87)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -2*k**3\/3 - 11*k**2\/2 - 13*k. Let n be x(-15). What is the second derivative of 21*t - t**3 + 14*t - n*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 u, and 1 l when four letters picked without replacement from lyyyyyyuyauyyyay.\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6955901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30716201 and 69?\nAnswer: 92148603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266 - 238. Suppose -7*q - d = -14*q. Solve -3*x - 2*b = q, -x + 2*b + 6 = -b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssseieieseeksiiis. Give prob of sequence sei.\nAnswer: 175\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 168\/(-144)*6*2\/3. Is -4 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-4)*((-40)\/12 + 2). Let f(q) = -q**2 - 9*q - 15. Let i be f(z). What is the units digit of (((-8)\/i)\/(-4))\/((-4)\/(-708))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -27. Let u = -42 + v. Is 7\/(14\/1146) - 0\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f - 164. Let d be n(-21). Suppose -2382 = -4*c - v, -d*v - 23 = -31. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134845, -134978, -135111, -135244, -135377, -135510?\nAnswer: -135643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 101?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 3*q - 5*k + 7*k, -3*q = -5*k + 75. Suppose 3*o = 7*o + 24. Let f = o - q. What is the least common multiple of f and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeedoohohd. Give prob of sequence oo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98199 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23800)\/1666 + 1*(-6)\/(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 less than -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l + 1. Let x be i(-4). Let z(r) = -r - 4. Let g(k) = -2*k - 4. Let u(y) = 6*g(y) - 5*z(y). What are the prime factors of u(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 2. Let q be i(2). What are the prime factors of -1 + -2 + 22 + q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36743\/362*(-44)\/(-77)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3810\/15*1\/1 + -5.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {j: 2, l: 1, p: 3, g: 7, d: 5}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = 6*y + 231 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ugugguuuguuguggu.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -15.5 (c) 2 (d) -0.14 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252 + 1267 = -3*m + 12*q, 4*m - 28 = 4*q for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Let j(b) = -4*b. Let i(g) = g**3 + 7*g**2 + 2. Let t be i(-7). Let a(c) = c. Let l(n) = t*j(n) + 11*a(n). What is m(l(p))?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5444 - -113114?\nAnswer: 123002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let u(s) = -24*s + 62*s + 12*s. What is r(u(x))?\nAnswer: 2500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/(3\/6). Let y(s) = s**3 + 6*s**2 + 6*s + 16. Let h be y(x). What is the highest common factor of 44 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 202 - 66 = 0. What is the remainder when d is divided by 119?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 - 5*a**2\/2 + 4*a + 6. Let o be g(4). Solve 0 = 2*f - o*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l + 3\/13*l**2 + 12\/65*l**5 + 6\/13*l**4 + 1\/39*l**6 + 31 + 20\/39*l**3. Factor w(d).\nAnswer: 2*d*(d + 1)**3*(d + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 2470 - 182 = 0. Let x = u - 573\/4. Which is the nearest to 0.2? (a) 4\/7 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 0 - 13*p**3 + 2*p**4 + 2 + 15*p**3 to f + b*p + u*p**2 + w*p**3 + m*p**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034*u + 3220 + 21816 = 145*u - 11513 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2741 is divided by 80.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*o + 890500 = -1204*o + 7960*o for o.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2658947 decades?\nAnswer: 2.658947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477898, 477902, 477908, 477916, 477926, 477938, 477952?\nAnswer: 477968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*w - 599 = 0, -1 = -3*w - 22. Let p = -17 - -27. What is the greatest common divisor of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1588 - -956. Let p = x + 1092. What is the highest common divisor of p and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3095847, -1 in increasing order.\nAnswer: -1, 0.4, 3095847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 + b9901?\nAnswer: b98b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2005449560 - 2005449558.899999997. Let y = -1.1 + i. Round y to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + u**4 + u**4 + (2 - 2 + 2*u**3)*(2*u + 0*u + 0*u) + 4 - u**4 - 4 + 14166*u - 14166*u - 102*u**4 + (-6 + 1 + 3)*(0*u**2 + 0*u**2 + 2*u**4).\nAnswer: -101*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190084 is divided by 467.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 126*h - 756. Let a(t) = -39*t + 251. Give 16*a(g) + 5*y(g).\nAnswer: 6*g + 236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1360 - 1280) + -3 + -5 + (17 - 2)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let d be r(-1). Let a be -2 + 4 + (-9)\/(-3). Suppose d*c = a*c. Solve 4*v = 8, c = y - 6*y - 2*v - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -n - 22, 80 = 3*z - 1878*n + 1877*n. Calculate the remainder when -10*(-1)\/(5\/72) is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 + 20 + 19*c**2 - 3*c + 4*c + 20 wrt c.\nAnswer: 38*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, w: 2, r: 8, b: 4}. What is prob of picking 2 b and 2 m?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 861283356 > 861283356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*-6.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9123 (b) 0.62 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 35 = 0. Suppose r = -2*u - 6, -r - 5 + 4 = u. Suppose -r*c + t + 9 = 0. Solve -4*v = c*w + 12, 4*v - 5*v + 3*w - 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14935 + 15085. Solve -27*s - 48*s = g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6525*p**4 - 4*p**2 - 93130*p?\nAnswer: -78300*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v = 91*v + 152 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -1.28. Let m = -0.48 - r. Which is smaller: 23 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16260975.37 to the nearest 1000.\nAnswer: 16261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/4335 + -255769\/8670. Calculate the common denominator of 13\/648 and b.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 + 2*m + 3. Let j be d(3). Let h(s) = -s - 4. Let k be h(j). Suppose k*p - 3*y = 290, -58 = -p - 0*y + y. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r + 81. Let u be ((-322929)\/r)\/((-2)\/(-6)). Let l = -12881 + u. Round l to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1070 - -1504. What is the highest common divisor of 248 and s?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 2*a**2 + 5*a - 1. Let p be d(4). Suppose -2*h - p = -63. Let k be (-20)\/8*(h + -33606). What is k rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 + p + 107 - 50 + 3*p - 55 in the form w + q*p**2 + f*p**3 + b*p + r*p**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/25)\/(c*c*c**(1\/31))*(c\/(c*c\/(c**(-1\/3)\/c*c*c)*c)*c)**20 assuming c is positive.\nAnswer: c**(-20132\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -2, 1\/7, 0.003, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 4, r: 3}. Give prob of sequence rdkk.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 229c + -59b5?\nAnswer: -3718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79717 and 177.9172.\nAnswer: 79894.9172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429587 is divided by 476444?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**3 + 3*v**2 - 3*v**2)*(-3 - 2 + 3)*(8 + 7 + 3) in the form l*v**3 + q*v**2 + p + r*v and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:04 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 0.05359.\nAnswer: 1.05359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1656, -1614, -1528, -1386, -1176?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 11:07 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 20*t**2 - 17*t - 1. Let g(d) = -3*d**2 + 3*d - 1. Let o be g(3). Let y be r(o). Let w = y - -35. Sort w, 2, 0.2.\nAnswer: w, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/28*((-13 - 6 - -13) + 2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25141353*r**2 - 30688774*r wrt r?\nAnswer: 50282706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 - 17*s**4\/12 + 23*s**3\/6 + 7*s**2 - 65*s. Is l(16) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1607*u**3 - 1525*u wrt u?\nAnswer: -9642*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -19\/3, -0.01, -1?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 340 = 169. Is 20 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3484142*r + 7624449 wrt r.\nAnswer: -3484142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697146 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + 6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467 - 214 = 50*i + 169 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.2, 530\/481?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -308*y - 20318. Give n(-66).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*j + 3, 2*s = 3*j - 3*s - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkvvkvv. Give prob of sequence vvvk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1175 * -123458.\nAnswer: -14506.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*d - 2)*(d**2 + 0 + 0)*(8 - 8 + 10*d).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 300.5, 0.3, 4 in increasing order.\nAnswer: 0.3, 4, 300.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2179*a - 2154*a + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 - 9*b - 10. Let h be p(5). Suppose m - u = 40, m + m - h = -3*u. Calculate the remainder when (-6)\/9 - 508\/(-6) is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9087)\/(15*(-60)\/(-5850))\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0026371 millilitres?\nAnswer: 0.0000026371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 10.9, -5 in descending order.\nAnswer: 10.9, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 2, t: 5, q: 1, r: 3, y: 1}. Give prob of sequence tw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7800464000 rounded to the nearest 1000000?\nAnswer: -7800000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 77*g**2 + 4*g. Let l(a) = -6*a**3 - 230*a**2 + 11*a. Determine 11*k(i) - 4*l(i).\nAnswer: 2*i**3 + 73*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18) - 272\/(-1224)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppkp when four letters picked without replacement from {k: 9, p: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 1, x: 5, m: 4, h: 2}. What is prob of picking 3 m and 1 z?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350 - 1966 - 978 - 1196)*(-d + 6*d + d + 2).\nAnswer: -26940*d - 8980","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2. Let j(b) = 129571141*b. Calculate j(t(y)).\nAnswer: -388713423*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2532.002178 + -2532. Round y to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4018 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:06 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 32\/7 (b) 9 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - 5*d + 7. Let v be i(-5). Let r = 236 - v. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62991*l*o**4 + 21018*l*o + 11*o**4 + 2*o**3 + 5*o**2 + 5*o + 1 wrt o.\nAnswer: 1511784*l*o + 264*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21287 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 46*g - 3832. What is the remainder when 298 is divided by b(85)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1609455587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from dzjjjdjdjjjjzjjddjd.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4.9. Let k = 0.3 + -0.1. Let t = k + -0.1. Which is the closest to t? (a) -4 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = x - 5*k, 5*x + k - 15 = 0. Solve -f - 11 = x*n, -4 = -3*n + 5*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 5679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522 divided by 19041?\nAnswer: -1522\/19041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212121212 (base 3) in base 6?\nAnswer: 442505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c - 27*c - 49*c + 36*c.\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -1485, -3336, -5917, -9222, -13245, -17980, -23421?\nAnswer: -29562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(637) + 1 + sqrt(637)*1 - 1*sqrt(637)*3) + -5*-1*sqrt(637)*5)**2.\nAnswer: 2016*sqrt(13) + 366948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 8. Let i be p(-6). Let o be (i\/(-5))\/((-1)\/185). Let w = 171 - o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = c, -c - 12 - 3 = 3*f. Suppose c = -b + 4*b - 24. Suppose -g = 3*s - b, s + 8 + 11 = 4*g. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*g + 2, 0 = -4*q - 2*g - 2*g + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 + 8283*v - 103 + 192 - 757*v to the form m*v + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*s**3 + 3*s**3 + 5*s**3 - 2)*(17*s**2 + 1454*s - 1454*s).\nAnswer: 34*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 20*d**3 - 2*d**2 - 11*d + 68. What are the prime factors of m(4)?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 1 + sqrt(192) + -5 + 1 + ((sqrt(18)\/(1*sqrt(6)) + -1*sqrt(432))*1)**2)*-2.\nAnswer: -720 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8901 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + 67. Suppose 0 = 288*t - 246*t + 2226. Let f = l + t. Solve -3*q - f*n - 31 = -2, 2*q - 6 = 3*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12)\/5*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 69*v + 8. Let s be w(1). Suppose -33 = -5*t + s. Solve -4*d = -t + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 4. Let s be p(-4). Suppose 5*d - 37 = x, 5*d - 79 = 2*x - 0*x. Is (x\/(-5))\/(s\/(-20)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:03 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -12*m + 4. Suppose -m*o - 9 = 4*a + a, 3*a = -5*o + 6. Solve -o = 5*y - 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3, 4*d + 169 = 5*k. Suppose 4*c - k*c = -1815. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daaa. Give prob of picking 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 178727 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 0*j + 0*j - 4.\nAnswer: 5*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i + 5. Let z(p) = -3*p - 1. What is 2*h(t) + 9*z(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 28*k - 1 + 2*k**3.\nAnswer: 2*k**3 - 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkskkkkkskkkk.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(9\/(-24))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132970927 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/3 - 6\/(36\/78). Let v(h) = 5*h + 95. What is v(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203717.459 minus -26.34?\nAnswer: -3203691.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22686, 45373, 68060, 90747, 113434?\n\"Answer: 22687*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 16*a**2 - a - 23. Give v(15).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7822 + -164212\/21. Is 2 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1078, -1080, -1082?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -326\/69 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of (-3 - 15924\/(-24))\/((-2)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -117*m**2\/2 - 2714. Let z(q) = 5*q. Give z(t(c)).\nAnswer: -585*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*j + 1659 = -226 - 1043. Calculate the remainder when 479 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-72))\/(-1))\/((-45)\/(-6))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 + 27322998*z + 109291944 = 0. Calculate z.\nAnswer: -9107662, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + (sqrt(320) - sqrt(320)*2) + sqrt(320))**2 - (1 + -3*(sqrt(180) + 1)).\nAnswer: 18 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13809 (base 10) to base 11\nAnswer: a414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + (sqrt(2178) - (sqrt(2178) - (sqrt(2178) + -2*sqrt(2178)))) + sqrt(2178))\/(sqrt(6) + sqrt(6) + sqrt(96) + sqrt(6))*-3.\nAnswer: -33*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:44 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53753267\/14394985 + -2\/182215. Let y = -1763\/1580 + m. What is the common denominator of ((-285)\/225)\/(6\/(-15)*-2) and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 749449318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -2234, -7789, -18592, -36389, -62926?\nAnswer: -99949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 2)*(2 - w**2 - 2) - 2*w**2 - 4*w**2 + 3*w**2)*(4 - 4*w - 4).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 90. Let p be z(0). Suppose -n + 156 = 3*n - 4*j, -5*n + 174 = 2*j. Calculate the greatest common factor of n and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-80)*(-30)\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 59 = 2*q, -15 = -0*q + 5*q. Let c = s + 28. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/14 and 101\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10710)\/544)\/(-45)*4\/(-28)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*(-4)\/168*-4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 22569495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 4. Suppose 5*d + 13 - 13 = 0. Suppose 9*t - t = d. Suppose t = -2*k - 0*k - 3*z + 2, -3*k - z = 11. Calculate g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 31. Suppose -73 = 2*v + h, 4*h = -5*v + 2*h - 184. Let p be v\/(-78) + 1\/(-3). Is s at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 75000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -56*p**2 + 2*p - 2. Let k be v(1). Which is bigger: -57 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -7aac63b?\nAnswer: -7aac63b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a52 (base 11) in base 12?\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 797540 to the nearest 1000.\nAnswer: 798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -92.59. Let y = -0.96 - -1.65. Let f = d - y. Which is the second smallest value? (a) -2\/7 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/209, 2\/7, -1.3 in decreasing order.\nAnswer: 2\/7, 2\/209, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 3, k: 2, c: 5, d: 8}. Give prob of picking 2 s.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8300 = -b - 1467. Let w be (-656772)\/(-8)*(47\/12 + -4). Let s = w + b. What is the common denominator of s and -101\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(8)*3 + -4)*-5)**2 + (4 + sqrt(242) + -1*sqrt(242) + -5)**2 + 2.\nAnswer: -900*sqrt(2) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 13. Let t(y) = w*y**2 + 8*y**2 - 31*y**2 + 9*y**2. Let s(m) = 3*m**2. Calculate s(t(a)).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 956 divided by -3\nAnswer: -956\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (17 + 5 - 19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653288?\nAnswer: 2, 127, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gegg when four letters picked without replacement from ggegeeee?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6009 and 14395.\nAnswer: -86499555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 5174*c**2\/7 + 10354*c\/7 - 5178\/7.\nAnswer: -2*(c - 1)**2*(c + 2589)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -673583 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:39 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456 - 695. Let q = v + 241. Solve 9*o**3 - 6*o**q - 1\/4 - 11\/4*o = 0 for o.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 54, -11, 3, 2966?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4767 + -487.3233. Let k = -486 - a. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/67478 and -71\/642.\nAnswer: 21660438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 5, b: 1, l: 3, v: 4}. What is prob of sequence ltb?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1003 - 1003.15. Which is the fourth biggest value? (a) 10 (b) i (c) -0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10509307447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -2698497662.\nAnswer: -2698497671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (3 - (10 + -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) -0.3 (c) -10 (d) 4\/5 (e) 4 (f) -25\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**3 - 11*r**2 + 5*r + 9. Let o(l) = -4*l**3 + 5*l**2 - 2*l - 4. What is -4*c(x) - 9*o(x)?\nAnswer: 4*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 7 = -6*c. Let j(i) be the first derivative of -i - c*i - 1 - i - i**2 + 0*i. What is j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 48198419*u**2 + 24099215*u**2 - 3*u**3 + 24099204*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*u - 154*u + 3*u**3 + 81*u**3 wrt u.\nAnswer: 504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5042, -5023, -4980, -4901, -4774, -4587, -4328, -3985?\nAnswer: -3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403785?\nAnswer: 3, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8106\/11, -4\/5, -2, 2\/61 in descending order.\nAnswer: 2\/61, -4\/5, -2, -8106\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2253430 (base 7) to base 8\nAnswer: 1047063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2559, 38, -4, -2.\nAnswer: -4, -2, 38, 2559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 - 3372*t**4 - 708960*t**3 + 712336*t**2 = 0. What is t?\nAnswer: -422, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((109 - 101) + (-34)\/3)*(-1020)\/300.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (10 - (0 + -7) - (10 + 20))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 10*h = 8*h + 766, 5*j + 4*h - 1274 = 0. Let b = 437 - j. Is b a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 322 + 154 = 5*s, y - 5*s - 238 = 0. What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -124, -285, -596, -1105, -1860, -2909, -4300?\nAnswer: -6081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271597*f**5 + 11*f**4 - 7*f**3 - 3*f + 19750331.\nAnswer: 5431940*f**3 + 132*f**2 - 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7031 or 1?\nAnswer: 7031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 112. Suppose -h*z + 10 = 2*z. Suppose -z*o = -i - 1306, -o + i + 647 = -i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s. Let x(o) = -3*o + 42. Let i be x(-4). Let m = -54 + i. Let a(g) = -2*g + m*g - 2*g. Determine a(z(t)).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2)*(-p + 0 + 0) - 20*p - 21*p + 8*p)*(4*p + 5*p - 6*p)*(-1 - 2 + 2)*(-3 + 1 + 1).\nAnswer: -105*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 minus 18348.566297?\nAnswer: -18208.566297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.1759um in nanometers?\nAnswer: 82175.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53748 by -3.\nAnswer: -17916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1435 (base 6) to base 10\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojcjocoojojjojoj. Give prob of picking 3 o.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.09 (b) 0.3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 6*j**2 - 1. Let n be u(-4). Let g = n - -137\/4. Determine c, given that 1\/2*c + g*c**2 + 0 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:40 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*x + 5*n, -4 - 6 = -5*x - 5*n. Let k be (-2)\/(-9)*-51*x. Let t be k\/10 - (3 + 0). Which is the second biggest value? (a) 3\/2 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001120 + -102?\nAnswer: -1001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1265 - 0.1265. Which is the third biggest value? (a) i (b) 2\/5 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:00 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {p: 2, m: 3, f: 4, r: 1, j: 3, x: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17.01 in -1, 3, 2\/17, -98?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 4411*m**2\/3 + 8819*m\/3 - 4409\/3.\nAnswer: (m - 4409)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5236104729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3 - 200*d - 2. Let n(i) = 10*i**2. Determine m(n(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170 less than -0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.6 + -25. Let v = 64 - 141. Let z = -80 - v. Which is the second biggest value? (a) y (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 3*n**5\/10 - n**4\/12 - n**3\/6 + n**2\/2 + 4*n. Let p be (10\/(-8))\/(-5)*4. Let x be z(p). Solve -x*d + 4 = -11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -2*f, -2*g + 2*f + 290 = 0. Let y(h) be the first derivative of 150*h**2 - g*h**2 + 16 - h + h - 9*h**3. Find x, given that y(x) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)*(k*k*k**(1\/3)\/k*k)\/k*k**(-37)*k*(k\/k**(-3\/5))\/k assuming k is positive.\nAnswer: k**(-616\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:33 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -949 divided by -410.\nAnswer: 949\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0367892 rounded to 4 decimal places?\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 2*n**2 - 3*n. Let b be o(-3). Solve 23 = -4*f - 4*t + 5*t, -f - t - 2 = b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1139446\nAnswer: -2278892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:28 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**(-2)*m))*m*m\/m**6*m*m)\/((m\/m**(3\/8))\/m*m**(-3\/5)\/m))**(-2\/21))**(-25\/6) assuming m is positive.\nAnswer: m**(-205\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(4 + (((-1 + sqrt(1539))*4 - sqrt(1539)) + sqrt(1539) + 0 + -1 + sqrt(1539) + sqrt(1539) - (-4 + 1 + sqrt(1539) + 1*(sqrt(1539) + 0)))))**2.\nAnswer: 9216*sqrt(19) + 1576192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*n + 31*n. Let j be (n + 1)\/(5\/(-10)) + -4. Let o(w) = w**3 + 9*w**2 + 9*w + 5. Calculate o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 32*t - 767. Determine f(11).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53.48, -3\/4, -2695?\nAnswer: -2695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 7*k**2 - 8*k - 7. Let n be q(-5). Let j = n - -26. Suppose -11*s + j*s = -4. Solve -s = -2*f + 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 306 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0 - 18. Let i be (2\/6)\/(u\/(-126)). What is b in i*b**3 + 7*b**3 - b**4 - 19*b**3 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5092542836?\nAnswer: 2, 1273135709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 - 6*d + 6. Let i be p(4). Let n(b) = 3*b - 1. Let a be n(1). Let t be a*1\/2 - 1. Put -5, i, t in increasing order.\nAnswer: -5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465004704 is divided by 303?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.81 - 0.81. Let q = 1.97 + 0.03. Sort n, 0.2, q.\nAnswer: 0.2, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-8)\/(-3)))\/(26\/(-26))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 - 6.87. Let s = -4 - g. What is the smallest value in s, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**2 - 3*p**2 + 0*p**2.\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6790 + 6521 = -783*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4090\/7 + 584. What is the third smallest value in -1\/6, 0.3, 4, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42409 is divided by 72?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 789*k + 15005 wrt k.\nAnswer: 789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 + 172*y**4 + 136 - 141*y**4 + 398*y**4 - 293 + 7*y in the form g*y**4 + c + m*y**3 + b*y + r*y**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 4. Let j be t(-8). Let o be ((-10)\/j)\/(3\/(-6)). Let -1\/2*z**4 - 1\/4*z**o + z**2 + 1\/2*z**3 - 1\/4*z - 1\/2 = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21. Let j be (-92)\/(-72) - 3\/2. Which is the nearest to 0.1? (a) t (b) j (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 14*m - 8. Let x(t) = -2*t**2 + 4*t + 4. Let w(v) = x(v) - y(v). Suppose 4*h = 8*h - 24. Determine w(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -16 + (-3 - 4 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 + r**4\/2 - 7*r**3\/6 + 5*r**2\/2 + r. Let v(t) = -t**3 - 15*t**2 - 40*t - 44. Let j be v(-12). What is a(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -1\/120*v**6 - 10*v**2 + 1\/30*v**5 + 0*v + 1\/12*v**4 + 1\/2*v**3 + 0. Give f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4 - -5) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445077.8 less than 8899?\nAnswer: -1436178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4 - 9*v**2 - 4 + 15*v**2. Let z(d) be the second derivative of d**6\/180 - d**3\/6 - d. Let n(f) be the second derivative of z(f). Give n(l(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3 + 1108*t**2 + 204587*t - 1050760 = 0.\nAnswer: -872, -241, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/32*(-6)\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 - 13863*a**3 - 175*a**2 + 1505328*a.\nAnswer: -40*a**3 - 83178*a - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsjbtytsstttysytjj. Give prob of picking 1 j, 2 s, and 1 t.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -20, 2, 0 in decreasing order.\nAnswer: 2, 0, -0.07, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 18*c - 6*c + 28 - 50 + 43*c.\nAnswer: 55*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3659.4535 to the nearest integer.\nAnswer: -3659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-4))\/((-34)\/((-8865296)\/(-33))).\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*g + 5669, -4*g = -5*o - 3*g + 9420. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 1096.6?\nAnswer: 1099.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 13, b: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 8. Let k be w(6). Calculate the common denominator of (-4)\/k - (-3355)\/(-924) and 11\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 18*w - 19. Determine s(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -105, -282, -619, -1170, -1989, -3130?\nAnswer: -4647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2 + 24*w + 24. Let c(g) = -g - 1. Calculate 120*c(n) + 5*t(n).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215446 is divided by 57872.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 + 10*u + 11. Let k(z) = 7*z**2 - 10*z - 12. Determine -4*c(t) - 3*k(t).\nAnswer: -t**2 - 10*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 + 4*v + 2. Let s be r(4). Suppose -s*j - j + 1 = x, -4*j - 3*x = -8. Does 8 divide 12*(14\/6 + j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -13760061.\nAnswer: 1\/4586687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.283? (a) -0.2 (b) -1\/3 (c) -104 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 - 722*r**4 - 130321*r**3 = 0?\nAnswer: -361, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 7. Let a be b(-6). Suppose a = 5*y - 634. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + 2086*j**3 - 2105*j**3 + 2 to a*j**2 + z + o*j**3 + g*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 u when four letters picked without replacement from luluuuuluuluul?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841989?\nAnswer: 31, 59419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328445?\nAnswer: 5, 13, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 728725.6 days in nanoseconds?\nAnswer: 62961891840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w**3 - 3*w**2 - 17*w + 3. Let l(a) = -21*a**3 - 2*a**2 - 13*a + 2. Determine -3*l(o) + 2*r(o).\nAnswer: 21*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001100 (base 2) in base 16?\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 + y**2 - y. Calculate the lowest common multiple of d(6) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55362 and 4668862?\nAnswer: 14006586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247619 is divided by 123780?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*v - 4*g + 5*g, 61 = 4*v + 3*g. Sort -4, v, -2, 4 in descending order.\nAnswer: v, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b\/(b*b*b\/(b\/((b*b*b**(4\/7)*b*b)\/b)))*b)**(-2\/127)*(b**(-1\/2))**(-1\/10)*(b**(-1))**(-24) assuming b is positive.\nAnswer: b**(428049\/17780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 105. Solve 3*a - 5*l = -7 + r, -3*a - 5*l = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 0*l)*(l - l + 3 - l**2) + 2*l**3 + 3*l**3 - 3*l**3.\nAnswer: 6*l**3 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -1\/96, 3\/2, -0.1?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1.8, -6072\/5 in decreasing order.\nAnswer: 17, -1.8, -6072\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -100. Calculate the remainder when k is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (741*v**5 + 4*v**4 + 543*v**5 - 6*v**4 + 145*v**5 + 2*v**4)*(1 + 4 - 3).\nAnswer: 2858*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*f**2*l**2*u - 333*f**2*l**2 - 4*f**2 + 10*f*u + 2*f + 24*u with respect to l.\nAnswer: -160*f**2*l*u - 666*f**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-9) - (-4)\/18. Let l = -1 + a. Let f(u) = -4*u**3 - 8*u**2 + 4*u - 10. Let o be f(-3). Solve -4*d = -l + o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 - 14*p + 11. Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, r: 2, d: 3}. Give prob of sequence rcrd.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**2 + 51*k**2 - 7*k**2 to n*k**2 + t + o*k and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -28.8. Let k = 20 - 27. Let r = -0.1 + 0.1. What is the closest to 0 in k, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -461083?\nAnswer: 461074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 183447668 and 0.0908?\nAnswer: 183447667.9092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(408\/18) - 4\/16) + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -940, -4, 20 in decreasing order.\nAnswer: 20, 7, -4, -940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206.99 - -210. Let o = -0.01 + w. Let d = -2 + 4. Sort d, o, 4.\nAnswer: d, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 342?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/11 + 11840\/9768\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**7)**(-37))**(-2\/129) assuming s is positive.\nAnswer: s**(592\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.8 - -1.8. Let j = -8 - k. Let r = 31 - 123\/4. Which is the closest to r? (a) -4 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**5 - 7*h**3\/2 + 26*h + 1. Let a(c) be the first derivative of u(c). Find the second derivative of a(y) wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/28 - (-365)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/((-22500)\/(-3850)) - ((-14)\/(-20) - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -212, -460, -796, -1214, -1708?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62\/265 - 344\/795. What is the third biggest value in -0.2, 4, -1\/13, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19080241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 108*f**2 + 16*f + 39. Let j(p) = 30*p**2 + 5*p + 13. Let g(n) = -2*d(n) + 7*j(n). Let o(l) = 2*l + 2*l**2 + 2*l**2 - 4*l - 9. Give -5*g(h) - 7*o(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8 and -5\/261514.\nAnswer: 1046056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -102. Let p = u + -40. Suppose -5 + 2 = m - 2*r, 3*m = p*r - 9. Let t(q) = -2*q - 2. Determine t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 741014*t**6 + 297*t**5 + 269736686*t**2.\nAnswer: 88921680*t**3 + 17820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 29*a**2 - 56*a + 784. Let x be k(28). Sort -120, -2, x in decreasing order.\nAnswer: x, -2, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 49 = 3*k, 4*c = -4*k + 33 - 161. Let n = c + 49. Let s = 7 + 0. Calculate the remainder when n is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 24 = -c. Let d be c\/4*6\/(-4). Suppose -d*g + 10 = -p, g + 2 = -p + 12. What is the smallest common multiple of 8 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 154*c + 1099. Give y(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 times 734756\nAnswer: 4775914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52436 is divided by 5243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*w**4 - 35*w**2 wrt w.\nAnswer: -888*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36.99*6153\nAnswer: 227599.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8612 or -8613?\nAnswer: -8612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2249 - 2132. Calculate the greatest common factor of 63 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 59.\nAnswer: -9\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24602922 - 36052922. Round t to the nearest one hundred thousand.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3966*q - 2114*q - 2654*q.\nAnswer: -802*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20980092*x**2 - 29684763*x?\nAnswer: -41960184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 516*i + 17568. Let j be 2\/(-8) - 34\/(-8). Suppose -j*r + 89 = 5*a, -3*a = a - 5*r - 104. Calculate the lowest common multiple of c(-34) and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (-214 - -214)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w + w)*(-3*w - w**2 + 3*w - 2*w**2 + 4*w**2 - w**2 + (w + 3*w - 2*w)*(3*w + 0*w - w) + w + w**2 - w + 2*w**2 - 6*w**2 + 2*w**2).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + s - 35 = 2*u, 5*s + 23 = 3*u. Let z = -2 + 7. Suppose -z*r = -3*r - 22. Calculate the greatest common divisor of r and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9882 divided by -338\nAnswer: -4941\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 20*l + 4480. Suppose -2*y = -5*m - 7*y + 655, -5*m = -y - 637. What is the greatest common factor of m and l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194*k**3 - 78*k**2*o - k**2 + 128*k*o - 208*o wrt k.\nAnswer: 1164*k - 156*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41 from -8128.\nAnswer: -8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00396 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 791*u**6 + 57*u**5 + 4*u**3 + 27691035*u**2?\nAnswer: 94920*u**3 + 3420*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 + 2. Let r = 2 - -2. Suppose r*y + 10 = -2*v - 0*y, -v + 2*y + 3 = 0. Which is the nearest to v? (a) o (b) -0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 478, 993, 1560, 2185, 2874, 3633, 4468, 5385?\n\"Answer: d**3 + 20*d**2 + 448*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 57 + (10 + -5 + -76 - -5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 113*m**2 - 1526*m + 2045. What is k(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 + 12*l + 13. What is r(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 120155 = -5*l, 5*f - 16*l - 120155 = -15*l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*-12*((-39)\/189 - (-40)\/(-70)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 + 4*y + 1. What is o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -1, 2 in descending order.\nAnswer: 144, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/424*53)\/(14\/4)*707\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c - 460. Suppose -5*m + g - 3 = -0, m + 15 = 5*g. Suppose 3*a + 17 - c = m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*y + 154 + 14. Suppose 0 = 3*j + 2*u - 113, -4*u + 1 = -15. Suppose -q + j = y*q. Solve -2*h - 5 = q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 3*t**7\/98 + 11*t**6\/10 + 42*t**5\/5 - 342*t**4\/7 + 8*t**3 + 168*t**2 - 3942*t. Suppose v(f) = 0. Calculate f.\nAnswer: -14, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.44 times 0.4?\nAnswer: -10.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 - 10*f + 5. Let t be u(0). Suppose 5*v = -0 + 50. Solve -5*d = 15, -t*y - d + 2 - v = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0.03 (c) -18.2688 (d) -10 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*b - 70*b + 16*b)*(-41 - 39*b + 41) to o + t*b + w*b**2 and give w.\nAnswer: 2808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 25, 37, 49, 61, 73?\n\"Answer: 12*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, h: 3, v: 1, p: 1, j: 1, b: 2}. Give prob of picking 1 h and 2 b.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:45 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -2162, -3244?\nAnswer: -4326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/168 - (-2)\/7\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4626 - 223663?\nAnswer: -218036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*(0 - -6). Suppose 0 = 3*s + 3*z - 18, 4*s + 2*z = d*z + 9. Let p be (-2)\/(-1*(-10 - -3)). Which is the closest to p? (a) -5 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 506492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.0065, -27, -0.5, 3\/11, -0.2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 4*v + 45. Let m be o(9). Let y(u) be the first derivative of u**3\/3 - 8*u - 4. Give y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9555364 and 1253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25904*x - 51811*x + 25899*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0137*10.54.\nAnswer: -0.144398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-15)\/20). Let r(i) = 0*i**2 - 2*i - 1 - i**o + 0*i**2 + i. Give r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 31. Let c be 4\/14 - 178\/(-14). What is the tens digit of 31 + u + -16 + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 9*a**2 - 3*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -0*w - 5*w. Calculate the greatest common factor of w and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j**2 + 8*j + 9. Let c(a) = 11*a**2 + 8*a + 9. Give 6*c(r) - 5*t(r).\nAnswer: -4*r**2 + 8*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-126)\/(-868)*(-40)\/30. Suppose 2*s - 3 = 5. Sort -2\/7, s, o in decreasing order.\nAnswer: s, o, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30977141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2185070 and 1588500.\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 5)*(3*l**3 - 2*l + 2*l) - 300 - 297 + 1004*l**3 + 597 as v*l**3 + b + q*l + w*l**2 and give v.\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*l**3 + 15*l**2 - 33*l**2 - 105*l**2 + 145*l**3 wrt l.\nAnswer: 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412901 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970516603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23 + 33 - 16*n - 72 wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k**2 + 306*k - 1253. Give l(4).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 1, l: 2, i: 4, b: 3}. What is prob of sequence el?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12983 - -4.86?\nAnswer: 12987.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 + 7*c**2)*(-19*c - 14*c**2 + 19*c) + 0*c**4 + 0*c**4 + 5*c**4.\nAnswer: -93*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -78*h. Let c(i) = -243*i. Calculate c(t(r)).\nAnswer: 18954*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 20, 2*c - 55*m = -59*m - 50. Let n(w) = 104*w**3 + 17*w**2 + 17*w - 17. Let s(g) = 35*g**3 + 6*g**2 + 6*g - 6. Determine c*s(k) + 6*n(k).\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmazu. Give prob of sequence duz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 + 1 = t, 3 = 3*v + t. Do 2\/533 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 - 5)*(24 + 26 + 9)*(-2*o - 2*o + o) in the form y*o + j and give y.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffpppffffffpffff. What is prob of picking 3 f?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-80))\/((-4)\/(23 + 1)). Let q = -0.051 + -15.449. Let r = 16 + q. Sort -4, r, s, 9 in descending order.\nAnswer: 9, r, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 4*u, -5*f = -2*u - 2*f - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + z + 13 = 0, -5*z - 15 + 0 = -5*y. Suppose 0 = -4*j - j - y. What is the nearest to j in 3, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 111 = -2*w. Suppose 0 = v + o - 3, -o = -0*v + 5*v - 11. What is the least common multiple of v and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 8, f: 4}. Give prob of picking 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/3*(-2)\/12. Let i = 101 + -140. Let o = i - -42. Which is the third biggest value? (a) o (b) u (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 9 = -18*g - 4*t, 0 = 2*g + 3*t + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-1*sqrt(16))\/sqrt(8).\nAnswer: 5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 14\/33*f**3 + 2\/11*f**5 - 3 + 2\/11*f**2 + 1\/33*f**6 + 9\/22*f**4 + 0*f. Solve x(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 454 = 4*j, i + 51 - 277 = -j. Let t = 328 - i. Calculate the remainder when t is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-9)*436\/(-2398)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -152, -187, -220, -251, -280?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.35 (b) -13 (c) 0.3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 2*r**4 - 9*r**2 - 6*r**2 - 24*r**2 + 2 to i*r**3 + t*r + s*r**4 + f + b*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/18)\/(210\/36).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 6. Let c be l(5). Let h = -33713 - -33716. Sort -11, c, h in descending order.\nAnswer: h, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*r + r - 3, 2*l = 10. Suppose -3 - 19 = -r*m. Suppose -5*q + m = 4*t, 2*t + 3*q + 3 = 8. Solve -t*u + 3 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(14\/(-4)). Let m(w) = -w**3 + 30*w**2 + 36*w - 151. Let d be m(31). Which is the third biggest value? (a) 0.5 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37987308 and 9576.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c - 14. What is l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*k = 325*k - 42. Let h = -25 - 20. Let d be (-57)\/h*-3 + k\/10. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3586 + 3526.6. Round b to 0 decimal places.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 2*q**3 + 5*q**3 + (139*q**3 - 38 - 140*q**3 + 1)*(-82 + 100 - 81 - 97) as s*q**2 + m*q**3 + k + x*q and give m.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2911 + 2911. What is the third smallest value in 1\/2, -5, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 10348*u + 40155414.\nAnswer: 2*(u + 7761)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321792 and 165632?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6460646.1 rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 8*f + 1035. Let t be f\/6 + (-3)\/(-6). Let o = t + 71. Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from tbqftyttqqfptftytb.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 36048 = -b - 20146, -5*b + 44932 = 4*x. Let t = 8271171\/736 - x. Let p = 2763\/736 - t. What is the common denominator of -5\/2 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -32\/117037979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 26*b + 264. Determine a(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255693534 to the power of 1\/2, to the nearest integer?\nAnswer: 35436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**5*m**11)\/((m**(-3)*m*m)\/m*m\/(((m**2\/m)\/m)\/m)*m))**(-10))**(-3\/11) assuming m is positive.\nAnswer: m**(450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 38777.67 * -0.213\nAnswer: -8259.64371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pooooooobbpb. Give prob of picking 1 o and 1 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, 0.2, 5, 4.\nAnswer: -2\/31, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - h**2 - 5*h. Let b(p) = 2*p**2 + 36*p - 42. Let c be b(-19). Let x(n) = 5*n**3 - n**2 - 6*n. Calculate c*z(l) + 3*x(l).\nAnswer: -l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2827.65 + -2780. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/24770862 and -31\/621.\nAnswer: 74312586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 753 - 306. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -25*h**2 + 150*h - 114. Determine p(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 72*m - 1152. Give p(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*n + 513*n + 20 = -5*w, -3*w = -5*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 1, p: 1, s: 1}. Give prob of sequence spbx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 37*d + 1453. Determine a(-42).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/4)\/(33\/(-2)). Let s = -127\/344 - 1\/172. Which is the closest to 0.1? (a) s (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -17 + (14 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14235015 divided by 949001\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let v(i) = -n + i + 6 + 3. What is the smallest common multiple of 8 and v(12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/3)\/(2\/15). Let p be (-4*42\/63)\/(2\/(-3)). Suppose -3*b = -3*t + 9, 5*t - 3*b - 4 - 15 = 0. Solve p*d - m = -t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440425?\nAnswer: 5, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127667419?\nAnswer: 11, 11606129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 9*h - 28. Let v = -11 - h. Suppose z = -s + 7, -4*s - 3*z = -6*z. Solve v*f - f = s*w + 22, -41 = -5*f + 4*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*s = -8*s + 27, -24 = p - 2*s. Let i = p + 21. Let m(g) = 16*g**3 + g**2 - g - 1. Give m(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - a**2 + 6*a - 3. Let l be c(4). What is the tens digit of (-9)\/3 - -3 - l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, -19, 5 in decreasing order.\nAnswer: 5, 1, -19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 797686 != 797665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-8)*88\/(-6). Let b(p) = p**3 + 16*p**2 + 8*p - 34. Let z be b(-15). Let q = 94 - z. Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 495*m**4 + 133660*m**3 + 1160505*m**2 - 1268560*m - 26100 = 0. What is m?\nAnswer: -261, -10, -2\/99, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(220))\/sqrt(10))\/((sqrt(121)*-2)\/sqrt(11)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14 = -2*o, 2*t = o - 2*o + 7. Let g = o + -5. Is -4*(-1)\/g*-90 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23364652*u**4 - 146228839*u**2 wrt u?\nAnswer: -560751648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 25*v - 4*r - 12 = 0, 2*r = 0. Sort -4, v, 28, 4 in descending order.\nAnswer: 28, 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (14 + 3)*-15*(-4)\/48*4 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 2. Let u(l) = -10*l + 11. Let t(p) = -33*c(p) + 6*u(p). Let r(o) = -2*o**2. Calculate t(r(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 6. Let h be w(-5). Let y(u) = -2*u - 23. Let l be y(-13). Suppose -76 = -l*v - 28. Do v and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 5 (c) -5 (d) -1.7 (e) 2\/9 (f) 4 (g) 1.494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:43 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 b when three letters picked without replacement from {o: 3, b: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4.2, 1843 in descending order.\nAnswer: 1843, 6, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24837 is divided by 548.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/(6\/(-27)). Let d(a) = -a**2 + 7*a - 5. Let c be d(k). Let j = c + 1. Solve -2*s + j = 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -19*d + 984. Calculate i(30).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -120.1318?\nAnswer: -120.1318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6689689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3161 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3696*l - 1859*l + 3*l**2 + 3*l**2 - 1837*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqp when four letters picked without replacement from {p: 2, d: 12, n: 3, q: 2, r: 1}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7. Let y be 3\/(1 - 0) - 1. Which is the nearest to q? (a) y (b) -1\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58 and 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -17. Let u = -3 + -32. Calculate the remainder when (-7)\/u - 119\/(-5) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1714)\/5)\/(84\/(-210)).\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 23) + 17 + (-63 - 66).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 1968 = 72*h - 182*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*y = -667*y - 21 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 9) to base 5.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(0*l**5 - 4*l**5 + 5*l**5) + l**5 + 26*l**5 - 4*l**5 - l**5 + l**5 + l**5.\nAnswer: 22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + 3*s + 9. Let v(b) = 3*b**2 + 4*b + 10. Suppose 0 = 396*w + 930 + 258. Determine w*v(d) + 4*r(d).\nAnswer: 3*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/4 - 817*i**3\/4 + 5203*i**2\/2 + 9238*i + 6432 = 0.\nAnswer: -2, -1, 16, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**4 - 326*o**3 + 3247 wrt o?\nAnswer: 4*o**3 - 978*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 31 + -15 + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(21)*-1)\/sqrt(7).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568014264.\nAnswer: 2, 3, 1451, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1710\/71 + 369207\/923. Suppose -4*i + 0*i + 1500 = 0. Let r = c - i. What is the common denominator of 37\/2 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/35380 and 41\/7308.\nAnswer: 2228940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (-5 + -2 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 166. Let x = -66 - i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 12:10 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73746696 and 10?\nAnswer: 368733480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 21 - 4*f**2 - 3*f - 18 + 2*f**2. Calculate p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11429 + -11444. Let x = -13\/12 - -7\/4. Is x at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - u + 2, 3 - 2 = -3*d + 2*u. Suppose 3*w = -4*o + 24, 5*w = d*w + 2*o + 2. Solve 2*p - 2*s = 4*p - 8, -7 = -w*p - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 2 = -3*j - 5*q, 3*j = 2*q + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 73 = 5*k + 31, 3*k = 5*g + 167. Calculate the remainder when (3\/(-1) + g)*-1 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/21)\/(28\/(3724\/(-57))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, 2\/9, 0.05, 0.16, -1 in descending order.\nAnswer: 9\/4, 2\/9, 0.16, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 4. What is the remainder when 25 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 380 + -710. Let v = c + 521. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24887*i**5 + 123*i**3 + 8397984*i**2 - 6 wrt i?\nAnswer: -1493220*i**2 + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234337743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79\/510 - 1\/204. Find the common denominator of 89\/2 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221132 (base 5) to base 11.\nAnswer: -6a218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d**2. Let n(o) = 11*o - 7*o - o - 2*o. Calculate w(n(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*i + 194*i - 100*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1889670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = f + 5*i - 16, 0 = -4*f - 2*i - 6. What is the greatest common divisor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(1088)*1 - (2*-1*sqrt(1088))**2) + ((sqrt(1088) + 0 + sqrt(1088))*5)**2*-3.\nAnswer: -330748 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169 by -27.\nAnswer: 169\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -3250.\nAnswer: 4\/1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 21276, -5 in descending order.\nAnswer: 21276, 32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1914893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 14 = -6*y. Let d = y - 11. Solve -1 = 5*s + 4*a, 5*s + 10 - 37 = d*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -27. Is 1\/15 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (-98 + -98 + 180)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -15) + (8 - (-3 - 4)) + -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10159 - -10161. Put -46, -16, c in descending order.\nAnswer: c, -16, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 + 12*f**2 - 11*f**2 + f - 9*f. Let k be i(6). What is the units digit of 38\/10 + (-2)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -565 + -231233?\nAnswer: -232131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 36 (b) 4 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17383 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 7062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/5, 1\/2, -4, -5, -10561?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 + 2364 = -725*y + 647*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 682 = -6*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 1697*j + 6778*j - 1691*j - 1701*j - 1692*j.\nAnswer: -6*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*l + 4*c, 0*l - 2*c + 6 = -5*l. Does -1\/418 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1589, 0 in decreasing order.\nAnswer: 5, 0, -2, -1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 40 = 4*n, -5*o = -3*n + 2*n - 143. Suppose -2*z - 38 = -3*s, -3*z + o + 5 = 3*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*m + 288*m = 11730 - 2666 + 1206 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -404*p - 22486. What is d(-58)?\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:21 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -49. Let i = 65 - n. Sort 1, -2, i, 0 in descending order.\nAnswer: 1, 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13)**18*g**18\/g**(-16))**(1\/3) assuming g is positive.\nAnswer: g**(268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*k + 3*k + 2*k)*(3 - 3 + 1) + 3*k + k - 2*k + (-k - 3*k + 3*k)*(-1 - 3 + 3) in the form i*k + n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than or equal to 37.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2)*j)\/j*j\/((j\/(j\/((j*j**(-4))\/j))*j)\/j)*j*j**(3\/7)*j**(-1\/2) assuming j is positive.\nAnswer: j**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-80) + ((-12513)\/(-5) - -2). Let f(s) = s**2 - s. Let d be f(4). Is z\/d - 6\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.1 + -10.2. Which is smaller: y or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 23805.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233 (base 5) to base 10.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -20 + 23*u - 4 + 1. Let l(v) = 6*v - 4. Let w be l(-5). Let d = -7 + 1. Let y(g) = -4*g + 4. Calculate d*b(t) + w*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982210393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgw when three letters picked without replacement from {w: 2, u: 6, g: 1, l: 2, x: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + (4 - -11) + 4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-140))\/(6\/21)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (3\/4 + (-60)\/16). Suppose w - 533 = -5*i - 2*w, -i + 103 = -3*w. Suppose s*t = i + 2054. What is t rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 6*a. Let m(d) = -5*d**2 - 13*d. Determine 4*m(l) - 9*u(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4821 is divided by 78.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 <= -77124\/557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 12. Let c be r(-5). Suppose -2*u + c*a + 9 = 0, a - 2*a - 3 = -u. Let o = 383\/7 - 55. Sort u, -1\/7, o in descending order.\nAnswer: u, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -8, 1, -92609, -1, 5 in descending order.\nAnswer: 13, 5, 1, -1, -8, -92609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*40)*((-70290)\/(-132))\/71.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145 - 137 - (21 - -1)) + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 498772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 32*n - 72. Suppose -4*u = -u - 3*i - 147, 55 = u - 4*i. What is the lowest common multiple of u and j(-7)?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, -2, 2, -9, 0 in increasing order.\nAnswer: -9, -2, 0, 2, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zezc when four letters picked without replacement from gccazccze?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-104)\/(1\/1) + 0. Let r = 150 + u. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j + c + 19 = -63*j, 8*c = 2*j - 82. Solve -9*z + 3*s - 10 = -14*z, -z - j*s - 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.93483 minus 6.763?\nAnswer: 151.17183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 117102 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1894581\/50 + 37893. Let i = 3\/25 + r. Let v = -0.7 - -0.2. Which is the third smallest value? (a) i (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - n**2 - 1 + 2*n**2 to v*n**2 + a*n + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 15, -5*j + 4*q = -30. Suppose 3*o + n + 2 = 0, j = 3*o - 3*n - 8. Solve 5 = 3*m - 2*s + 3, -o = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -9?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406103583.\nAnswer: 3, 135367861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y = 6*y - 627 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92 - 101) + (39 + -4 - -7).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -96, -193, -324, -495, -712, -981?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*y - 52, 2*k - 5*y = -10*y - 61. Let l(i) = -2*i - 37. What is l(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(440\/(-33)))\/((-1740)\/(-40)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7891 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 + -136. Let o = 124 - d. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.97863 to three dps.\nAnswer: -30.979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4143153 (base 6) to base 3.\nAnswer: 101011202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 252670029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 71.51218nm?\nAnswer: 0.00007151218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36615, -36629, -36657, -36705, -36779, -36885?\nAnswer: -37029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-4) - 1)\/2. Let y = -0.2 - 0. What is the nearest to y in 1\/8, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -78, -114, -150?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:15 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:39 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -3810 - 9423. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920893 to the power of 1\/2, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -20, -1\/13, 0.2, 228, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, p: 13}. What is prob of picking 3 h?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, c: 2}. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8340094*s**3 + 9*s**2 + 224068 wrt s?\nAnswer: -50040564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63532 * -0.5.\nAnswer: 0.31766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 6*w - 40 = 0. Solve 3*z + 3*j + 4 = 10, -z - 3*j + w = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026089281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -69, -81, -95?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/66 and 103\/726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Find the second derivative of -36*r**g - 15*r + 13*r - 30*r wrt r.\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = -i. Let m = -142\/7 + 20. Which is the closest to m? (a) i (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (144\/6*1\/3)\/2. Put -5, 5, h, -2 in descending order.\nAnswer: 5, h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-811 - -840) + -27 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (-38 - 2200\/(-28))\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2 - g + 9. Let v(m) = -3*m**2 - 4. Let k(y) = -4*d(y) - 9*v(y). Is 10 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2389, 2367, 2345?\n\"Answer: -22*t + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15*y. Let r(z) = -71283*z**2. Determine i(r(c)).\nAnswer: 1069245*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06054 + -0.04054. Is -2\/21 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 37 = 4*h, 2*h - 3 + 7 = 0. Solve 4*m + s = 5*v + 3*m, -4*v - 3*m - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 3, -2, 0.7, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 3125218.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 1)*(y + 0*y + 0*y)*(0 + 2 + 0).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 11 = -k, f - 4*f + 4*k = -6. Let r = -138892\/105 + 4049\/3. Let o = r - 133\/5. Put o, -0.2, f in increasing order.\nAnswer: f, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-630)\/12)*55\/(-44)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.30791ml?\nAnswer: 0.05330791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 774409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*32\/(-112))\/((30\/(-945))\/(1\/3))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011.9639 months in millennia?\nAnswer: 0.084330325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 23 - 21 - 98 = 264 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13974219 and 175.\nAnswer: 349355475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s - 558 = 90. Suppose s*j - 62 = -188. Sort j, -4, -1, -5.\nAnswer: j, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 23*t + 263. Is 33 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*m + 65, -d - 5*m = -6*d + 140. Let x = -17 + d. Suppose -7*u + 2*u - 3*q = x, 0 = -5*q + 20. Is -5\/2 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdzo when four letters picked without replacement from {d: 4, o: 3, z: 2, u: 4, c: 3, q: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z**2 - 1327*z - 10776. Determine r(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b - 2. Suppose 5*g = b + 14. Let p(s) = -4 + s - 1 + 2. Determine p(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 6*d + 7*d**3 + 2 - 5*d**3 as g + o*d**2 + x*d**3 + p*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30457 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1279296 and 55\/36.\nAnswer: 1279296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j - 1. Let h(i) = -8*i**2 + 14*i + 5. Let c(x) = 2*h(x) + 18*v(x). Suppose -1199*y = -1201*y - 12. Let w be c(y). Solve -2*d + 3*d = -w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -120. Let n(t) = -t - 126. Determine 5*a(k) - 6*n(k).\nAnswer: 6*k + 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97212376 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8663574ng in grams?\nAnswer: 0.0000000008663574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -5*m, -4*r + 5*m = -32. Solve -3*u + 9 = -r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1871856 and -131\/1247904?\nAnswer: 3743712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, w: 1}. Give prob of sequence cw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 842 + 838. Let t be 85\/(-3)*b\/(80\/8). What is the highest common factor of t and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 + 1719*s - 82. What is x(0)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 40, 29, 14?\n\"Answer: -2*i**2 - i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 19. Put -0.16, c, -0.3 in descending order.\nAnswer: -0.16, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 10:27 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 17*s - 40*s - 286 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -19, -28, -37?\n\"Answer: -9*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -41. Suppose -u + d*h - 7*h = 23, -8 = u + 2*h. Suppose -u*s + 3*s - 2*a = 76, -2*s + 3*a + 151 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231569 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2108)\/(-341) - 4\/22. Suppose -30 - w = -6*b. Suppose b = 4*f + q, f + 5*q + 0 = 11. Solve 3 = h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -29*t**9\/252 - 17*t**5\/60 - t**3\/6 - 37*t**2 + 1. What is the third derivative of u(r) wrt r?\nAnswer: -6960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dlllddlldldl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 40 = -4*y, -4*y - 1 = -2*r + 25. Suppose 0 = -r*m - 381 + 129. Which is smaller: m or -35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 6*i + 3. Let k be h(2). Let p = 0 - k. Suppose -p*w - 7 = 13. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14484?\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-3)\/(-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from xbxxxlfflfxxbfqfsfxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 9*g**2 + 38*g + 359. What is t(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(16)\/sqrt(8)))\/((sqrt(4) - sqrt(100))*-2)*-2)**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (3 + -11)) + -10 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 - 208*h**3 + 3268*h**2 - 18264*h + 25056 = 0.\nAnswer: 2, 9, 12, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3 + 4 - 3*u - 3. Let c(g) = g**3 - 21*g**2 + 22*g - 38. Let o be c(20). Let s(t) = -4*t - 2. Give o*s(q) - 3*p(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 6:05 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -6. Let o = q - -1. Let u(b) = -b**3 - 17*b**2 + 3*b + 53. Let d be u(-17). Sort -2, o, d in increasing order.\nAnswer: o, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(468) - (sqrt(143)*-1 + sqrt(143))\/sqrt(11))**2*-6.\nAnswer: -2904 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t + p, -11 = -5*t + p + 13. Let n = 3.1 + -3. What is the nearest to n in -0.2, t, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from {i: 7, x: 4, c: 2}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(308) + sqrt(308) + sqrt(308)*-3)\/sqrt(7) + (1*sqrt(121))\/sqrt(11) + (sqrt(396)*-1)**2).\nAnswer: -1188 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2\/23, -3, -71 in descending order.\nAnswer: 5, 2\/23, -2, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 1:38 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b789 - 1?\nAnswer: b788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 86561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppkk. What is prob of sequence kp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -218\/3. Which is the third biggest value? (a) 5 (b) 15 (c) -0.03 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**4 + 15*p**2 - 4*p + 19117. Let d(w) = -22*w**4 - 37*w**2 + 10*w - 47792. Let i(u) = 5*d(u) + 12*k(u). Differentiate i(s) with respect to s.\nAnswer: -8*s**3 - 10*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*2*-2.\nAnswer: -44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/271054?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -110, -161, -208, -251, -290, -325?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -164. Let b be (d\/(-3))\/((-75)\/90). What is the closest to b in 0.09, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 2. Let k = m - 10. Let z(d) = 23*d. What is the tens digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:25 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 10, -6, -873?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/7 + 8*a**3\/7 - 6*a**2\/7 - 4*a - 16\/7 = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 + -1478. Let h = l - -1600. Let 6\/19*s**h + 0*s + 0 - 2\/19*s**3 = 0. Calculate s.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608939 is divided by 1304363.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/((sqrt(192)\/sqrt(4))\/sqrt(6)))\/(sqrt(512) + (1*sqrt(512) - sqrt(512)) - (-1*sqrt(648) + sqrt(648))).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13478*d**4 + 404*d**2 + 179598469*d?\nAnswer: -161736*d**2 + 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/(-2))\/((-7)\/14). Let y = c + 7. Which is greater: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8656 is divided by 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 610352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -13*r + 8*r + 9, 0 = 4*w - 5*r + 57 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4923*u - 5055*u + 52 + 9980*u.\nAnswer: 2*u + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (12 - 10) + 4 + 9 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972748326?\nAnswer: 2, 3, 11, 53, 278087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*l + 3*s - 1020, -l - 5*s + 230 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 2, 9 in decreasing order.\nAnswer: 50, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25373 + 50669. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 696452.0538 to the nearest one hundred.\nAnswer: 696500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9100)\/1690*(-64)\/(-224)?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (415 - 851 + 659 + 0 + 3 - 2 + (-2 - 2 + 5)*(2 + 0 - 4) + 4 - 4 - 1)*(-z**4 + 2*z**4 - 2*z**4).\nAnswer: -221*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-39)\/6 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*z**2 - 206*z**2 - 132*z**2 + 6*z**2 + 35*z**2 + 13*z in the form y*z + p + r*z**2 and give r.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2211 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/2, -1, 4, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76459*y**2 - 138070*y + 1 wrt y?\nAnswer: -152918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/9)\/(2\/(-3))*-3*2?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276.5053399325 - -0.4946571675. Let w = 277 - h. What is w rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8415, 34917, 79087, 140925, 220431?\n\"Answer: 8834*d**2 - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14321 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 203*p**5\/60 + 313*p**3\/3 + 64*p**2. Differentiate o(y) wrt y.\nAnswer: 406*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -5*v + 10*v. Which is smaller: v or -93?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33*6\/54 + (-1)\/(-3)*1. Solve 2*j + 20 = 2*w, a*j = -4*w + 6*j + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-8)\/(120\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 54.36. Let o = -0.46 + d. Which is the nearest to 9\/5? (a) -2\/13 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45697, -45693, -45687, -45679, -45669, -45657, -45643?\n\"Answer: k**2 + k - 45699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57006922 to the nearest integer?\nAnswer: 7550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 218*l - 2816. Let i be v(17). Is i smaller than 887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:12 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 4\/5*c**5 + 5\/3*c**2 - 1 - 11\/6*c**4 + 4\/9*c**3 - 4\/3*c. Determine b, given that o(b) = 0.\nAnswer: -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldzdrid. What is prob of sequence ri?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -1\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-8 - 12) - ((1 - -1) + -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-7)\/(-3))*-1. Let o be (-2)\/(-32)*-2 - 26\/48. What is the third biggest value in o, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036674 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y + 25. Suppose -y*f = 2*o - 330, o + 59 = -8*f + 9*f. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-85)\/306*(-162)\/180. Which is the closest to -2? (a) 0.1 (b) 0 (c) -2\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130515 (base 6) to base 12.\nAnswer: -6a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9618, 12881, 16156, 19449, 22766, 26113, 29496, 32921?\nAnswer: 36394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051313703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 - 465*w + 10730. Give y(26).\nAnswer: -3388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404338073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-16 - -3 - -5) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5)*r)\/r)**(-12)\/(r\/(r*r*r**(-2))*r\/(r*r\/r**(-2\/5))) assuming r is positive.\nAnswer: r**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782183721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -1. Let z(m) = -2*m - 4. Let a be z(i). Suppose 4*o = o + 4*b + 19, -3*o + a*b + 17 = 0. Sort 4, o, 1 in increasing order.\nAnswer: 1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 4*p**2 + p + 5. Let s be f(-4). Let u be s\/4 + (-11)\/(-4). Suppose -u*x - 1 + 13 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovoopoopovyyopyvo. Give prob of picking 1 v and 1 p.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25.37 - 4425686420\nAnswer: -4425686394.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-1)\/(-3))\/(8\/(-144))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046302 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1310 - -409. Round y to the nearest ten.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:22 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 0*r**3 - r**4 + (0*r + 4*r - 6*r)*(-r + 2*r**3 + r) + 0*r**4 + 2*r**4 - 3*r**4 - r + r + 2*r**4.\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**2 - 2*j**4 + 40 - 3*j + 4*j**4 + 288*j**5 - 40 wrt j.\nAnswer: 17280*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcoloev. What is prob of picking 1 c, 1 v, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1307 greater than or equal to -1303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 50434.\nAnswer: 756510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1118246kg?\nAnswer: 111824600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948.38 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjbjjjcbj.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 + 4*x + 2. Is 12 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v = -199312 + 196483 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Suppose -47 = -3*h + a, -3*a - 64 = -i*h + 7. Calculate the remainder when h is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23318.05 rounded to the nearest ten?\nAnswer: -23320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + 2 + -5)**2 - sqrt(539)) + ((3*-2*sqrt(539))**2 - sqrt(539)))*-4 + 3*(sqrt(539) - (sqrt(539) + 1*(sqrt(539)*-3 + sqrt(539)))**2)*-5.\nAnswer: -71723 + 119*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1.3, 3\/5, 2\/3, 83.4 in descending order.\nAnswer: 83.4, 3\/2, 1.3, 2\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1725 divided by 1\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69998 divided by -4.\nAnswer: -34999\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (1 + -10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 9, 20 in ascending order.\nAnswer: -3, 3, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -52. Suppose -116 - 37 = -51*t. Solve 2*i - 5*s + 5 = 0, t*i + 2*s = -5 + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -20*y + 9. Let g(f) = f. What is w(g(j))?\nAnswer: -20*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.5 (c) 0.08 (d) -0.06 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9665720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14035*x + 14030*x - 37 = -2*d, 0 = 14*x - 5*d + 441 - 341 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**10\/b*b))\/b)\/(b*b**4))\/((b\/(b**(-3\/8)\/b))\/b**(1\/4)) assuming b is positive.\nAnswer: b**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 - 19 - (-46 + -5)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*y + 145277, -2 = 37*t - 35*t. Does 38 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = 4. Let v(d) = -d**2 + 17*d + 24. Let c be v(17). Suppose a + 9 = 3*f - c, -4*a = 0. Calculate the least common multiple of p and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 31, -1\/2, 1.7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {n: 2, t: 5, y: 3, f: 9}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**2 - 1. Let l(d) = 21*d**2 + 28*d - 14. Let a(w) = w**2 + 2*w - 1. Let n(t) = 14*a(t) - l(t). Calculate n(y(x)).\nAnswer: -112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 8*n**2 - 5*n - 3. Let a be l(8). Let y = -51 - a. Let d be (y\/(-10))\/(3\/15). Calculate the greatest common divisor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/7, -0.06, 9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d*d**(1\/4)*d)\/d)\/d*d*d**(-5)*d)**(-23)\/(((d\/((d**1*d)\/d))\/d)\/d**(1\/2)*d**(-5\/3)*d**(1\/13)) assuming d is positive.\nAnswer: d**(3173\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/7 (b) 2 (c) -1 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -91. Let d be 2283\/9 + i\/(-24). Suppose 8*l - 628 = d. What is the greatest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/233 - 237\/932. Let q = -0.1 + 0. Let g = -0.1 + q. Are v and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshshhshsshsshssss. What is prob of picking 3 s?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 + 31540*w**2 + 156945*w - 3970890 = 0. What is w?\nAnswer: -6303, -14, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(1\/29))*u)\/u)**7*(u**26)**6 assuming u is positive.\nAnswer: u**(4328\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(572) + (sqrt(572) - (sqrt(572) + (-1*sqrt(572) - sqrt(572)))))*-4)\/sqrt(11))**2 + 4 + (1 + sqrt(1053) + 2 + sqrt(1053))**2.\nAnswer: 108*sqrt(13) + 11713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 - -0.6. Let d = 466 - 433. Let x be (-17)\/d - (64\/11 - 6). Which is the nearest to x? (a) p (b) -2\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302 - -322. Calculate the least common multiple of q and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:29 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.11 + 4. Let l = -3 + 3.05. Let j = l + k. Round j to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (955 - 87*f - 955)*(8*f**4 - 11*f**4 + 17*f**4).\nAnswer: -1218*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 40. Is t greater than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 7*w = -6, -11558*v + 11562*v = -4*w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3 - 10184*g**2 - 27*g - 237 wrt g?\nAnswer: -6*g - 20368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-3)*(2 - 2). Let n = -3010 - -3005. Sort n, 26, f, 2 in decreasing order.\nAnswer: 26, 2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*o. Solve -c = -o*z + 2*z - 6, 0 = -3*z - c + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1 (b) 0.08 (c) 951 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4*x - 90*c**4 - x + 193 wrt c?\nAnswer: 8*c**3*x - 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 46. Let m(u) be the third derivative of 1\/20*u**5 + 0*u - 3*u**2 + 0*u**3 + 0 - 1\/24*u**i. Find the second derivative of m(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-80109)\/(-1296) + 43 + (-3)\/(-16))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(104) - sqrt(104))*6 + sqrt(104))\/(-3*sqrt(800)).\nAnswer: 23*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 15 + 56)*(4 - 4 - 2)*(-11*a + 7*a**3 + 11*a) in the form d*a**3 + h*a + z*a**2 + c and give d.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18637626 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 11 in increasing order.\nAnswer: -19, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n**2 - 1\/3*n**3 - 148*n + 11\/4*n**4 + 116. Differentiate o(w) with respect to w.\nAnswer: 33*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/88 and 67\/208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63326 is divided by 177.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*s = -0*j - 12, 5*s + 20 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 3*x**2 + 12*x + 10. Give t(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 y, and 1 c when four letters picked without replacement from {y: 3, k: 4, g: 4, c: 6}.\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4, -3*r - 3*d + 21 = -2*r. Let s be (r - 4)\/(0 + 1). Sort -4, 4, 1, s.\nAnswer: -4, 1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 8 + -6 + 277 + -258.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1888*d**2 - 1374*d**2 + 5585*d**2.\nAnswer: 6099*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13828, 27657, 41486, 55315, 69144?\n\"Answer: 13829*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 254\/11 - 360\/11. Let k = b + 1064\/99. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/27)*f)\/f)\/(f*f**(4\/3)))\/((f*f*f*f**5)\/f)**6 assuming f is positive.\nAnswer: f**(-1198\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:16 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/3, 5, -2 in ascending order.\nAnswer: -2, 10\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + t = 1452 + 785, -4*d + 4*t = -4444. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k**2 + 35*k**2 - 7*k**3 - 15*k**2.\nAnswer: -7*k**3 + 68*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 5. Suppose -g + 5*m - 1 = 14, 4*m = 16. Suppose 2*s + g*n = -15, -2*s - 45 = -6*s + 5*n. Determine k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/23, 20, 69\/7, 3, 2\/55, 0?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -10. Sort -2, 7, f.\nAnswer: -2, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67931 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2143 = 5*z, -4*z - 4*o = -185 - 1523. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = 2*o, i = o - 3*o - 11. Let a(c) = c + 7. What is a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose r + 135 = v*u, 0 = -5*u - 7*r + 4*r + 173. Suppose 0 = -5*d + 46 + u. Solve -3*g = g - d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/19, 0, 2\/7, 5, -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -44*w - 36*w + 79*w. Let k = 20 - 17. Let t be (-1)\/1 + (k - 2). Calculate z(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 91 - 101. Suppose o*p - 6240 = -6*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 4 - 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7401802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43*-0.025\nAnswer: -1.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8196775439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 27 - 23 - ((1 - 4) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/348 + 57\/(-684)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 10*h**2 - 10*h - 11. Let i be s(11). Let a = i + 6. Find the third derivative of 2*v**2 + a*v**5 - 2*v**5 - 6*v**2 wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -7 - (-69 - -70) - (-26 - 1)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103 and -1.573?\nAnswer: -162.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1378*y - 3251. What are the prime factors of i(9)?\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 17, 0.6031, 78?\nAnswer: 0.6031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 16522856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 4*a**3 + 67.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 728442543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 13. Let a be w(-18). Solve a*h - 4*f + 9 = -7, 0 = 2*h + 4*f + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.073 + -1611.\nAnswer: -1611.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633*q + 629*q - 5*l + 25524 = 0, -q + 3*l = -6347. Is q 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 43 and 1616?\nAnswer: 69488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6254743.\nAnswer: 11, 19, 29927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4258951654 rounded to 5 dps?\nAnswer: 0.4259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (0 + sqrt(128))**2).\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.7 + -0.3. Suppose 0 = 4*k - 34 - 70. Let f = k + -51\/2. What is the third biggest value in -3\/5, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 9. Let a(u) be the second derivative of -u**3 - 14*u**2 - 3*u + 18. Let x(w) = -3*a(w) - 10*r(w). Calculate x(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15*5\/(-2))\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - 3. Let w = r - -14.9. Let h = -0.4 + w. Round h to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 2}. Give prob of sequence ppc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 993 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37c937 (base 16) in base 9?\nAnswer: 6782062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6724*b + 4788 = 6496*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 193840+-9.8303\nAnswer: 193830.1697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(125) + (0 + sqrt(125) - sqrt(125)))*-3 + 5 - (-1*sqrt(125) + -2 + (sqrt(125) + -1 + sqrt(125) - sqrt(125))*4 + 4))**2.\nAnswer: -960*sqrt(5) + 4756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**4 - 2*a + 9*a**4 + 3*a + (-3 + 4 + 1)*(2 - 1 + 0)*(2*a**2 - 2*a**2 + 10*a**4).\nAnswer: 37*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865\/4 - (-36)\/48 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 smaller than 0.0331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 120*h + 15. Calculate m(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 19*r**5\/5 - 30*r + 33. What is the derivative of d(t) wrt t?\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21 (b) -0.2 (c) 0.7 (d) 0.5 (e) 2.96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 8\/3*c**3 + 5*c**2 + 0 - 1\/6*c**5 - 1\/120*c**6 + 1\/2*c**4 + 0*c. What is the remainder when 12 is divided by y(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*g - 4)*(-1703*g + 3396*g - 1714*g) in the form k + x*g**2 + i*g and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l + 0*l**3 + 0*l**5 + 0 + 1\/336*l**8 + 0*l**6 + 1\/12*l**4 - 4*l**2 + 0*l**7. What is the second derivative of f(n) wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 12*w - 17. Let c be f(8). What is the second derivative of -c*q**3 + 0*q - 4*q - 4*q**5 + 15*q**3 wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.9. Let r = 0.2 - q. What is the nearest to 2 in -1, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:30 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23668)\/305)\/(2\/(-1)*(-24)\/(-60))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 4 + 5 - 5) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-684)\/(-132) - 4\/22. Suppose 2*s - l - 7 = 19, 0 = b*s - 2*l - 65. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -817 or -815?\nAnswer: -817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -44*g**6\/15 + 71*g**3\/6 + g**2 + 12*g - 5. Find the second derivative of p(t) wrt t.\nAnswer: -1056*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9 + 113 - m + 7 + 0*m. What are the prime factors of a(32)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 9*t - 13*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 5\/4 (b) 0.02 (c) 65 (d) 0.9 (e) 0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 - 2*p**2 + 2*p**2)*(31*p + 1 - 39*p - p**2 + 1) in the form b*p + h*p**2 + m*p**4 + n*p**3 + q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3 - -4) + (-6 - 0) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25228*h**3 - 42*h**2 + 1589086*h + 1?\nAnswer: 151368*h - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 7:17 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.29, -4, 2\/9, -1, 1 in descending order.\nAnswer: 1, 0.29, 2\/9, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 6, -4 in descending order.\nAnswer: 41, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23203 (base 6) to base 4\nAnswer: -303303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 11 = m, 4265*a + 8*m + 34 = 4262*a + 3*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15*i - 29406 = 0. Suppose 951 = -2*x - 3*l - i, -x - 1603 = 5*l. Let s = 1002 + x. What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o**2 - 4*o - 6. Calculate n(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8861 - 8851. Solve -14*i - 14 = -10*i - 2*z, 2*i + 2*z + m = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8569037, 8568755, 8568285, 8567627, 8566781, 8565747, 8564525?\n\"Answer: -94*w**2 + 8569131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20796 divided by -2\nAnswer: 10398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-45)*(-775)\/465\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271.46 - 2.46. Let d = q + -268.188. Round d to 2 decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29228 (base 13) to base 5\nAnswer: 4433032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 104256*d - 6672390. Determine n(64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.18 (b) 9 (c) -10.27 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -406*l**3 - 754*l - 754. Let c(g) = -g**3 + g + 1. Calculate -1508*c(i) - 2*k(i).\nAnswer: 2320*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 - n**2 + n + 1. Let s be j(-1). Let d = s + 1. What is the remainder when (-4 - d)\/((-2)\/14) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*r - 10 = 0, -4*x + 3*r - 19 = 2*r. What is the smallest value in 0.2, 5, x, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44296)\/308 - 5\/(165\/6). Find the common denominator of -127\/12 and (-614)\/o + 384\/(-96).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6220*a + 41. Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 3a3ab?\nAnswer: 3a3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712198*q - 356357*q - 355839*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.01 times -0.1\nAnswer: -0.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -2*k. Let l be -3 - ((-1 - 1) + 3). Let o = l + 6. Solve m - 1 = d, -o*m - k*d + 1 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 0, -s - 2*s + 2*z + 41 = 0. Let w = -13 + s. Put w, 3, -5 in descending order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) 0.2 (c) -0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6464864 divided by 2?\nAnswer: 3232432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154.1 + 148. Let g = 0.05334506 + -6.15337206. Let r = n - g. Round r to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214*x + 33383 = -754*x - 57145 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = -0. Suppose 4*o + y + 5 - 21 = 0, -3*o - 3*y = -h. Suppose j - 41 = 3*t, 3*j + o*t - t - 175 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:01 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1828*d**2 - 55*d + 576. Is z(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179e0 (base 16) to base 7\nAnswer: -552013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from vkcvvhhkccvv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7476 by 2.\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2689*g - 5*w = -2685*g - 6, g + 5 = 2*g + 3*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-1)*3\/4. Suppose -2*i = -o - 5. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(325)*-2)**2 + (sqrt(13)*3*6*-3 + 4)**2.\nAnswer: -252*sqrt(13) + 49633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74 in -0.021, -1\/4, 0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1431 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vqqqv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*(sqrt(304) + 1) + sqrt(304)) + -5 + (sqrt(304) - -1*(-3 + sqrt(304))) + (sqrt(304) - (2 + -1*sqrt(304))))**2.\nAnswer: 10240*sqrt(19) + 312896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 - 25*d**3 + 34*d + 61*d**2 - 21*d**2 - 54*d = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 25\/12*n**3 + 6 + 5\/2*n**2 + n. Factor a(u).\nAnswer: (5*u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*n + 5583340 = -1578233 - 1368123. List the prime factors of n.\nAnswer: 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 1577 = -135*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6956 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1603197 - -27?\nAnswer: 1603202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 2*f, 0 = 18*f - 17*f + 5*t + 2. Suppose 0 = -2*z + 5 - 3. Solve -f = w - z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 60*j**2 + 49*j + 45. Is x(15) a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - u = 6. Let b be -17*u\/(-3) - 2\/(-6). List the prime factors of -3 + ((-2)\/(-3)*b - -31).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0.1, -75, -5 in ascending order.\nAnswer: -75, -5, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 - 1.7. Let b = a + 0.5. Suppose -8*p = 36*p. Put p, b, -0.4 in decreasing order.\nAnswer: p, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 136, 484, 900, 1252, 1408, 1236?\n\"Answer: -22*o**3 + 166*o**2 + 4*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -163\/51 + 60\/17. Let d = -2 - -4. Factor -2\/3*z - 1\/3 - i*z**d.\nAnswer: -(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7) + (-128)\/112.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:30 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -224, -252, 5.8?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8281*g**3 + 8*g**2 + g + 49.\nAnswer: 49686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(9\/4)*f)\/f)**(1\/16) assuming f is positive.\nAnswer: f**(9\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhq when three letters picked without replacement from hbdwq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - 81*f + 903 = 174*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -77, -4, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30202 is divided by 364.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**7*u)\/u))\/u**(-10\/7)*(u*u\/(u*u*u\/(u**(4\/5)\/u)))**44 assuming u is positive.\nAnswer: u**(-2078\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19686*p = -20385*p + 18873 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 + 3525954*i**3 - 34*i**2 + 4006*i + 13 wrt i.\nAnswer: 180*i**2 + 21155724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 53 = -23 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/8 + 115\/24. Suppose -20*q = 19 + 1. Sort q, y, 0.2 in descending order.\nAnswer: y, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**17*x**(-6))\/(x\/(x*x\/(x**(-8)*x))*x*(x*((x*x*x*x*x**(-1\/11))\/x)\/x)\/x))**23 assuming x is positive.\nAnswer: x**(-4278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 1:54 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*v - 5 + 2, 0 = -3*r - 5*v - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30.8 times -0.4\nAnswer: 12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1881*t + 11295. What is s(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -27*c + 1. Is i(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (9 - 4)) + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37451, 37478, 37505, 37532?\n\"Answer: 27*f + 37424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 82*z**2 + 1914*z - 105. Give u(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1189*s - 3560. Let c be d(3). Is 24 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (18 - 2) - -14) + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-9))\/((-10)\/(-45)). Suppose -17*c + 12 = -w*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 15) + (2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286) + (2*sqrt(286) + sqrt(286) + sqrt(286) + sqrt(286))*6)\/sqrt(11))\/(5*2*sqrt(72)).\nAnswer: 31*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-30)*21\/(-14). Suppose -1\/5*i**2 + b - 1\/5*i = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 + r**4 + 7*r - 2*r**3 + 6 + 3*r + 0 + 14*r**2 - 13*r to the form j*r**2 + i*r**3 + v*r + x*r**4 + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 11:32 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-1\/6)*r)\/r*r)**(-28))**43)**(11\/3) assuming r is positive.\nAnswer: r**(-72842\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 14*k + 12519997 = -13*k, 9389991 = 3*g + 3*k. What is g rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9309 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/4 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 5*y)*(-9 + 5 - 5)*(-38 - 13 + 13) + y + 3*y - 2*y to the form i*y + s and give i.\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2214 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*h**2 + 55*h**2 + 1 - 176*h**2 + 19*h + 65*h**2 as a*h + g*h**2 + m and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 419*f - 22. Let c be j(7). Suppose -8*h + c = 33*h. What is the remainder when h is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -39. What is the units digit of y*(1 + 2 - (-90)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 45*d**3 + 4*d**2 - 20*d + 4. Let g(s) = s**2 - 7*s + 1. Give -4*g(u) + n(u).\nAnswer: 45*u**3 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22528150 to the nearest 100000.\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/99 and -133\/3168?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8545, -8526, -8501, -8476, -8457, -8450?\n\"Answer: -i**3 + 9*i**2 - i - 8552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 1, x: 2, c: 2, j: 1}. Give prob of sequence xxcj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*b**4 + 2*b**3 + 51560*b**2 + 2265*b - 840?\nAnswer: -144*b**2 + 12*b + 103120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8077.096 grams?\nAnswer: 8077096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34044657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5841 divided by 5455?\nAnswer: 5841\/5455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907 = 4*j - 1517. Let k be j\/42 - (-3)\/(-7). Solve 4 - k = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + h + h. Suppose 3*c = 0, -5*i + c + 0*c + 35 = 0. Let t(q) = -11*q + 46*q - 18*q - i*q. Give y(t(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsf when three letters picked without replacement from ffgsf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33490295.\nAnswer: 5, 1697, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 bigger than -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 16046.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69669441.\nAnswer: 3, 139, 55691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/(d*d**8))\/((d*d**(1\/4)\/d)\/d**7))**(-12) assuming d is positive.\nAnswer: d**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 49*m = 4*x - 20, -3*m = -2*x + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19769 - -9586. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62552501, 62552500, 62552499?\n\"Answer: -a + 62552502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*w + 8 = -40, 25 = 5*w. Put a, -5, 0 in ascending order.\nAnswer: a, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-37323992)\/124 + (-76)\/1178. Round h to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 141*t - 2. Let l(j) = -281*j + 4. Give 6*l(n) + 13*s(n).\nAnswer: 147*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = g + 14. Suppose 3*u + 210785 = 4*q, g*q + 5*u - 342 = 105083. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 594 + -589. Suppose 2*u - 18 = -4*b, 31*u - 45 = -f*b + 36*u. Solve -5*j = 4*w - 10, -2*w - 8 = 2*j - b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 11, 0.3, 93?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10*m. Suppose 4*s - 7 - 85 = m. Suppose 3*j - 19 = 17. Calculate the remainder when s is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(-2 + 1 + 2)*(3*t**5 + 13*t - 2 - 13*t).\nAnswer: 12*t**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4510*f**3*o*q*r - 237*f**3*o*r + f**3*r + 209*f**2*o*q*r + 4*f**2*o*r + 20*f**2*q*r - 2*f**2*r - 59*f*o*q*r wrt f?\nAnswer: 27060*o*q*r - 1422*o*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a - -6?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 87 times -2.6\nAnswer: -226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26281.8 and -5?\nAnswer: 26276.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 309, -2 in descending order.\nAnswer: 309, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 455, 988, 1521, 2054?\n\"Answer: 533*x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9*c = 1720. Round c to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16929304 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: Solve h = -2*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64305185 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2296 and 8036?\nAnswer: 16072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**2 + 10208. Let o(p) = -p. Let s(z) = 3*z. Let a(k) = 12*o(k) + 5*s(k). What is a(n(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039147327 to 5 dps.\nAnswer: 0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*n**2 + 114*n**2 - 54*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1. Let h(x) = -7*x + 7. Let j(v) = -6*c(v) + h(v). What is the units digit of j(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -15 + -6 + 28 + -10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**2 + 161*v + 2770. Calculate n(-15).\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*y**2 - 17*y**2 + 5*y**4 - 13*y**2 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 + 6*x - 2. Calculate the remainder when (-1*(-3)\/(-6))\/((-3)\/318) is divided by v(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 0.2 (c) -1\/8 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657808.6 millennia in years?\nAnswer: 657808600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 + a?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 + 4*s**2 + 116*s**2 + 2244*s**3 - 9*s**5 - 2008*s**3 + 112*s**4 + 3*s**5.\nAnswer: -4*s**2*(s - 30)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -283552154415.4.\nAnswer: -283552154390.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-16))\/(2\/4). Let r(i) = -4*i - 7*i**2 + 3*i - i - o. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-544)\/33 + (-28)\/154. Let o = -17 - h. Which is the closest to 1? (a) o (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 > 1138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-187)\/(-2057))\/(((-12)\/(-16))\/((-12)\/8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107011*j + 107073*j - 1922 = 0 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 201110?\nAnswer: -201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 12*o**2 + 8*o - 45. Let g be b(6). Solve 2*u - g*a - 9 = -6*a, -5*u - 4*a = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6544 greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 6:03 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 805 - 826.076. Let l = -0.2045 - -21.2045. Let z = l + n. Round z to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 smaller than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865 - 5162 = 149*j + 652 + 771 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**8\/l)*l\/(l*l*l*l\/(l\/l**(-13\/2))))\/(l\/(l**(-7)*l))**(-37) assuming l is positive.\nAnswer: l**(517\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12\/25 of a millennium?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 10. Let j be z(12). Let p be (14 - 8) + (-6)\/j. Suppose 122 = 2*k - 4*d, -p*d + 27 = k - 24. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 - -0.26. Which is the nearest to 0.4? (a) d (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -77*j**2 + 46*j + 5. Let s(r) = -38*r**2 + 17*r + 2. Give -9*s(z) + 4*v(z).\nAnswer: 34*z**2 + 31*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -14. Which is the smallest value? (a) 34 (b) -5 (c) x (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 14*f**2 + 13*f + 1. Calculate t(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*v + 134*v - 13*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 + 56*u**5 + 75*u**5)*(0 - 1 - 1).\nAnswer: -258*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(51)\/(sqrt(3) + sqrt(3) + sqrt(108))*-2 + (sqrt(1700) + 4 + (sqrt(17) + -1)*-6)**2).\nAnswer: 323*sqrt(17)\/2 + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -1.3 (c) 1\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:09 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372 and 1753236.\nAnswer: 1753236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 17817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6309314 less than -2302.32?\nAnswer: -2316.9509314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 9067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 8*f**2 - 5*f + 8. Suppose 2*i + 12 = -2. Let y be u(i). Let l = 32 - y. What is the remainder when l is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2*c - 1. Let d(o) = 9*o + 1. Let h(k) = 4*k + 1. Let x(u) = 3*d(u) - 5*h(u). Calculate the remainder when x(2) is divided by y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -328, -1094, -2578, -5020?\nAnswer: -8660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10983.\nAnswer: 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + -5 + sqrt(192)*-1*2 - (2 + -4*-1*(sqrt(192) - (1 + sqrt(192))))) + 0)**2.\nAnswer: 224*sqrt(3) + 817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 348*1\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/170*17*(-15)\/(-246).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - m**2 - 4*m**2 + (8*m - m - 9*m)*(-62 + 18*m + 62) + 2*m**2 + m**2 - 2*m**2 + (0*m + m - 3*m)*(-3*m - m + 3*m) + 5*m**2 + m**2 - 4*m**2.\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 2, i: 4, g: 8, q: 2}. What is prob of sequence nq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/191556 and -65\/136?\nAnswer: 383112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -482 + 1374. Let i = t + -77. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1. Let z(l) = l + 4. Let n(o) = -6*c(o) - z(o). Let h be n(5). Let d be h - 7\/(14\/(-16)). Solve y - d*y = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4 - 11*v**2 + 4 + v**2 as w*v + h*v**2 + y and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37100533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 244, 3, -1 in ascending order.\nAnswer: -5, -1, 3, 4, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1284\/5 + -256. Let n be 149\/(-76) + 1 + 1. Let x = -213\/380 - n. What is the second smallest value in 0.5, x, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 2*u)*(-44 - 17 + 86).\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 1:49 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - ((8 - 1) + -721 + 730)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.55, -3\/4, 4, 3, 15\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19491 - -272873\/14. Which is the closest to 0.01? (a) 1 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 7*p + 54 - 6*p**3 - 11 - 21 - 14. Let v(c) = -c**3 + c - 1. Determine -l(t) - 8*v(t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 18 = 2*w, 5*w + 19 = s. Suppose s*q = 3 + 5. What is the units digit of (-23)\/(-4) - q\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 649*d - 30488. What is y(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 192 + 43. Suppose 8*m - 7*m = h. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*j - 23 + 7, 2*j = -5*i + 10. Suppose 4 = i*r, 2*w + r + 3*r - 18 = 0. Solve 2*t + 4 + 3 = -3*m, 5*t = -4*m - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 60. What is the closest to 6 in -0.3, b, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 13. What is the closest to 1 in 2\/13, f, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3937103 years to millennia.\nAnswer: 0.0003937103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066364761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502027 rounded to the nearest 1000?\nAnswer: 1502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157671 is divided by 538?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-1 - (-2 - -2)). Let j = -27 - -31. Let m = j - w. Put m, -3, -2 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -39075?\nAnswer: -3907.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i + 78*i + i**3 - 38*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i + 2. Determine t(-6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 = y, -y + h = -3*h. Solve 2*c + 4*k = -k + 2, 5*c = -2*k - y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283099?\nAnswer: 191, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2434555 is divided by 1210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3 - v + 2 + 5*v. Let m be f(1). Put -3, 2, m in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -22*z + 95. Let m be d(4). What is the fourth biggest value in 5, m, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-21)\/(-12) + -2). Let m = 38 + j. Calculate the remainder when 52 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-10)\/m*m*m)\/(m*(m\/(m\/m**17))\/m))**14)**(-2\/5))**(3\/17) assuming m is positive.\nAnswer: m**(2184\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = -3*o + 75, 3*o - 105 = 3*p. Suppose f = 7*f - o. What is the remainder when 37 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 1.81548565432\nAnswer: -1.31548565432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1554192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 - 37 = 93*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/15)*g**(-4\/11)*g*((g*g\/(g*g**4)*g)\/g)**27 assuming g is positive.\nAnswer: g**(-13216\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/20 and -99\/56908?\nAnswer: 284540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n = -117*n + 15652. Calculate the highest common factor of 172 and n.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -145\/4. Let c = 641 + -644. Sort c, -3\/2, -0.6, n.\nAnswer: c, -3\/2, -0.6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 83*u**2 + 166*u - 338. Give a(-85).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18691 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2568059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 676 + 23. Let w = x + -144. Suppose w = 6*z - 13. What is the remainder when z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7840108 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:05 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 11*t - 27. Let m be j(-3). Solve 5*a + 2*x - m - 12 = 0, -4*a - 5*x = -25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 24 - 23) + -6 + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833500 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -15*r + 8, -2*r - 52 = 2*w. Sort w, -2, 2 in increasing order.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-19))*u**(-36) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 plus 0.151361?\nAnswer: -89.848639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + -13. Let g be ((-6)\/(-28))\/(6 + (-322)\/49). Sort b, g, -3 in descending order.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 times -1760?\nAnswer: -269280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-6 - 12)) + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3007 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:27 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25400.7*-0.9\nAnswer: -22860.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 12322*p - 705603 = 0 for p.\nAnswer: -57, 12379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 910 and 1227410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lalt when four letters picked without replacement from {l: 6, g: 2, a: 3, i: 1, t: 4}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -7521736.\nAnswer: 255739024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/49))**(-2\/69) assuming k is positive.\nAnswer: k**(-4\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7412076 and 1876?\nAnswer: 7412076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*i + 2 + 2*i**4 - 7 + 8*i**4 to the form l*i**4 + z*i**3 + u*i**2 + a + o*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z**3 - 3*z**2 - 4*z - 3. Let q be a(-3). Suppose -3*m + 260 = -r, 3*m - q = -m - 2*r. Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + 56\/(-90). Let t = 23 + -23.1. Which is the third smallest value? (a) t (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22652162 + 0?\nAnswer: -22652162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*p = -132*p + 249*p + 198 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.625. Let x = 453.725 - b. Let v = -452.999153 + x. Round v to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 8*h - 43. Let q be 4 + (h\/(-18) - 17\/(-2)). Suppose 3*l + 3*w = 137 + 397, q = 3*w. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.52 and 3.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432155 divided by -5?\nAnswer: -86431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11213 - 11248.995. Let u = 0.005 - x. Let a = u - 35.99999. What is a rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1101*f - 5624. List the prime factors of u(50).\nAnswer: 2, 13, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 96 = -0*p + 4*p, 0 = -p + 4*i - 38. Let r be p\/(-4) + (-3)\/(-2). Calculate the highest common divisor of 35 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c, 9 = -3*u - 3*c + c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 249 = 4*h. Let r = 90 - h. Suppose 505 = r*g + 36. Is g a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 605, 1173, 1707, 2195, 2625, 2985?\n\"Answer: -2*x**3 - 5*x**2 + 597*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 1}. Give prob of sequence vnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y - 42*y - 206*y - 1890 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4288 = -8*g + 3400. Is 46 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7055539 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -5 (c) 0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8957.127 decades?\nAnswer: 89.57127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, 2, 19.07, 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 0*y - y**2 - 4 - 3*y**2 + 5*y**2. Let v be l(3). Solve 0*z - v = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 17*x**2 - 17*x - 9. Calculate f(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.6? (a) -5\/76 (b) -1\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -34470?\nAnswer: 34481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -8.9, -0.1, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*w*w*w**(-6)*w)\/(w**9)**25 assuming w is positive.\nAnswer: w**(-212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*z - 2*s, 37 = 5*z - 6*s + 4*s. Suppose -3*x - 4*n + z = -0, 0 = -3*n. Solve -x = -0*j + 3*j, -2*w - 7 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*p**3 - 54 - 672*p**2 - 50 - 54 + 153 - 35 + 324*p.\nAnswer: 4*(p - 10)*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 16. Let t be q(12). Suppose -3*g + 1 = t*f, -5*f + 2*g + 6 = -24. Suppose -f*r + 31 = -33. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 - m - 3. Let s be p(-6). Suppose 6 = -3*j + v - 2, 14 = -s*j + 4*v. Let w be (1 - 0)\/(j\/58). Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3*d - 3. Let o be q(4). Let s(y) = o - 4 - 2*y**2 + 3. Let u(z) = 2*z**2. Calculate u(s(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011111 + -10101?\nAnswer: -1100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14664 + -114456?\nAnswer: -66462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 3462. Let k(o) = -8*o**2. Give k(n(g)).\nAnswer: -8*g**2 + 55392*g - 95883552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 1\/2*w**2 - 1\/3*w**3 + 25 - 2*w. Calculate t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d - 72 + 36 + 36. Let w be -20*(-2)\/18 - 2. Find i such that d*i + 2\/3*i**2 + 0 + w*i**4 + 8\/9*i**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 3*f)*(3*f - f - f)*(-3*f + 3*f + 2*f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 20*z**2 + 3*z**2 + 3*z**2 - 12*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13015422646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44443938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221 - -173) + (-1 + 19 - -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 3*1\/(-1). Suppose -5*j = 20, 446 = t*w + 2*j - j. Suppose -3*v = -33 - w. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32076 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20452 (base 14) in base 16?\nAnswer: 12f78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 0, -5*k = 6*a - 11*a + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36595958 is divided by 313?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -236 + 240. Suppose -4*b - 168 = -2*k, r*b = b. What is the remainder when k is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307041 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**3 + 4*v**2 - 13*v + 11. Let n(t) = -8*t**3 + 5*t**2 - 15*t + 12. Give 6*d(r) - 5*n(r).\nAnswer: -2*r**3 - r**2 - 3*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-2)\/(-4))\/((-27)\/(-5436)). Which is smaller: l or 303?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 102. Let l be (-4)\/(-14) - (-297)\/y. Suppose 29 = 5*h - 2*v, l*v - 22 - 28 = -5*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-4\/9)\/n)\/n))\/n*n**(-6\/5)*n*n*n\/n**(2\/3)*n**5\/n)**(-10\/3) assuming n is positive.\nAnswer: n**(-682\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor 35*w**3 + 40*w**2 - 205*w - 30.\nAnswer: 5*(w - 2)*(w + 3)*(7*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*i**4 + 208059*i - 229131500.\nAnswer: -748*i**3 + 208059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-391)\/(-119) + -1 + (-10)\/(-14). Solve -m*w + 8 = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1186756 and 1816?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6117 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -329 + 332. Solve 0*g - m = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159248459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18)*28\/84*-135.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5723, -44707, -150529, -356609, -696367, -1203223?\n\"Answer: -5570*w**3 + w**2 + 3*w - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*a)*(2*a**2 + 0*a**2 - a**2) - 1616*a**2 + 1616*a**2 - 217*a**3 in the form n + u*a + q*a**2 + r*a**3 and give r.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5145)\/28)\/(-35))\/(18\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9948 times 431\nAnswer: 4287588","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3115 is divided by 862.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14281202522 rounded to the nearest 100000?\nAnswer: -14281200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-19\/4)\/a*a)\/(a*a**36) assuming a is positive.\nAnswer: a**(-163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence podb when four letters picked without replacement from {d: 2, p: 2, o: 3, b: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + sqrt(700) + sqrt(700) + -1 + sqrt(700) + sqrt(700) + sqrt(700))**2.\nAnswer: -240*sqrt(7) + 25204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 7. Calculate j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 10*4\/8 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821272 is divided by 1229.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4 + 4*u**2 + 0 + 4. Let n(t) = -t**2. What is n(s(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200289 is divided by 2152?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 17 = -5*n. Let i be (-1)\/21 + 10\/(-35). Which is the nearest to -1? (a) -5 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*y + 32 = 0, -3*y - 16 = -5*g + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/83360 and 27\/133376.\nAnswer: 666880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, q: 1, s: 6, u: 1}. What is prob of sequence ssjq?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 118583*l. Let p(k) = -2*k**2 + 207. Calculate p(o(n)).\nAnswer: -28123855778*n**2 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/2911758 and 91\/859848.\nAnswer: 128117352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/44 + (-220530)\/(-13695) - (15 + 1)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anantxiwwxxixwxwixin. Give prob of picking 1 w and 3 i.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (106*k - 86*k - 80*k)*(723 + 621 + 643 + 97 + 1109) to p*k + u and give p.\nAnswer: -191580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 2559898.205116 and -1.\nAnswer: 2559897.205116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16043 + 16043 + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, -3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -182, -132, -48, 70, 222?\n\"Answer: 17*k**2 - k - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 116 + 51 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 greater than 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (3 - (2 + 1)))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 - -14.42?\nAnswer: 14.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {s: 2, t: 5, u: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Let x = 7 - 5. Does 14 divide x\/2 + (-64)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -109, -164, -219?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 3*f**2 + 7*f + 17. Calculate q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a - 4*a + 2*a + (-5 - 1 + 8)*(4*a - 4*a + 11*a) as l*a + j and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:46 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6911\/5 - -1610033\/1165. Let c = -3415\/5126 + i. Calculate the common denominator of 1 - 31\/(-20) - 1 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10311664 and 25722.\nAnswer: 92804976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r**2 + r + (-25 - 7 + 7)*(-10*r + 10*r + 13*r**2).\nAnswer: -323*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 4. Calculate the remainder when (-30)\/(-4) + 2\/(-4) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39900 = 2*s - 9*s. Round s to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71917591, 143835182, 215752773, 287670364?\nAnswer: 359587955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 16643?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8873131 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 - 13.78.\nAnswer: -13.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -163. Let a(c) = -x*c + c**2 + 78*c. Let q(p) = 11*p**2. Give a(q(o)).\nAnswer: 121*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1618*a + 17792. Give v(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 7*z**2 + 8*z. Let p be v(8). Suppose p*f = -b + 4*f + 577, -1731 = -3*b + 4*f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(348\/(-18))*(-336)\/63\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 103 = -117. Let o = u - 52. Solve 0 = -o*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-78)\/4)\/(6*4\/64). Is (z\/6)\/1*3021\/(-38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {q: 2, g: 2, s: 1, e: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q*q**(-1)\/q*q\/(q\/((q\/(((q*q**(2\/27)*q*q)\/q)\/q*q))\/q*q))*(q**(-4\/9)\/q)\/q*(q**(4\/5)*(q**(4\/5)\/q)\/q)**(25\/4) assuming q is positive.\nAnswer: q**(-163\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -6*n + 4*n. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**8\/6720 + q**7\/840 + q**6\/240 + q**5\/60 + q**2. Let p(f) be the third derivative of n(f). Factor p(o).\nAnswer: 3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(-1 + sqrt(304) + sqrt(304) + sqrt(304)) - (sqrt(304) + -1)*1))**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1030837537 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3782356, -3782358, -3782360?\n\"Answer: -2*f - 3782354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*b + 76*b + 6543 - 33850 = 31550 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71.9281 nanometers?\nAnswer: 0.0000000719281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19766279123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 17. Let l be 0 + 10*(-1)\/x. Suppose -2*t - 2 = -3*a - 1, -4*a - l*t + 32 = 0. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose 4 = a*p, x - p = -4*x + 113. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262857 and 714.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 67019 and 13357.\nAnswer: 80376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 1056437.\nAnswer: 55\/1056437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + v - 2*v**2 - 6*v**3 + 2*v**3 - 5*v**3 as p*v**3 + j*v**2 + o + b*v and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -39*q + 200. Calculate c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/60 - d**4\/12 + 2*d**3\/3 - d**2 - 1. Let n(b) be the second derivative of h(b). Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153) + -5) + (sqrt(612) + sqrt(612)*-3)*1.\nAnswer: -15 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311336?\nAnswer: 2, 38917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 m when four letters picked without replacement from bhmbhmmb?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwbdbwwwbbfbbvffwybf. What is prob of picking 1 d, 1 y, and 1 f?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*m = 26*m - 553 - 161 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24048177\/109 or 220626?\nAnswer: 24048177\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a meter in millimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/7 + 7656424*o**3\/7 - 7656421*o**2\/7 - 15312846*o\/7 = 0. What is o?\nAnswer: -1, 0, 2, 7656423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 86142?\nAnswer: 86142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0 + 1\/24*y**4 + 7\/3*y**3 - 2*y - 3*y**2. Calculate m(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/(-16) + 3)\/((-4)\/(-16)). Let q(b) = 9*b + 2. Give q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/17)*z)\/(((z**(-7)*z*z)\/z*z)\/z))\/((z*(((z**4\/z)\/z)\/z)\/z)\/(z*(z*z*z\/z**(-3\/2)*z)\/z*z)))**(2\/5) assuming z is positive.\nAnswer: z**(429\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 900802547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f + 2*f + 5*f to h*f + a and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 53 + (-1 - 36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 46*k - 37. Let w be m(-22). List the prime factors of 9\/21 + (1418\/w - -3).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 33. Let l be (1 - ((-10)\/h)\/(-2))*-3. Suppose 2*o - 2*f = 16, 2*f = l*o - f - 20. Solve 0*x = o*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + -31 + 30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -54, -58, -64, -72, -82?\n\"Answer: -x**2 + x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340429, -680839, -1021263, -1361707, -1702177?\nAnswer: -2042679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*a + 3)*(-84 - 56 - 49)*(-3*a + a + a + 5*a - 2*a - 2*a + (2*a - 2*a - a)*(5 - 3 + 0))*(4 - 3 + 0) to the form g*a**2 + u + y*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:11 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -5.919892\nAnswer: 2.959946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*k + 16. Suppose -1 = i + 2. Let z = i - k. Solve -4*g + 23 = -g - z*a, 3*g - a = 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/308)\/(1\/2)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 10, 3, -4.\nAnswer: -4, 0, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-36)\/(-96))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -476 at least -474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49853046 to the power of 1\/2, to the nearest integer?\nAnswer: 7061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 12) to base 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25600 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -481 - -480.99982. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5\/7 - 753*m**4\/7 + 88023*m**3\/7 + 51891*m**2 + 95436*m\/7 - 545940\/7 = 0?\nAnswer: -337, -3, -2, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(15\/10)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19294140?\nAnswer: 2, 3, 5, 321569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 0, 0*r - 3*r = -4*m - 6. Calculate the greatest common factor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:51 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let g(v) = v**2 + 2*v. Let n(l) = -g(l) + 2*o(l). Let a(k) = -25*k**2. Calculate n(a(s)).\nAnswer: -625*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 13*f - 10. Let x be t(-12). Let l(w) = -5*w**2. Let v(r) = -r**2. Let k(j) = x*l(j) - 14*v(j). Let b(a) = a**2. Determine k(b(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w**3\/5 + 204*w**2\/5 - 3*w - 30 = 0 for w.\nAnswer: -10\/13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100011000110101110011 - 110?\nAnswer: -10101100011000110101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 6:16 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 5, -53, 1\/4065?\nAnswer: 1\/4065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/169 + 173\/338. Which is smaller: b or 24?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2485 + 5920 = 269*d + 1142 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 153, 173, 201, 237, 281?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*y = 16 - 52, -3*s + 2*y - 44 = 0. Is s greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 30*c**2 - 2*c + 48. Let r be z(-30). Suppose 0 = -a + r + 304. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 + 0 = 0. Suppose 0 = s*i - 61 - 19. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 101*l**2 + 1678*l + 176. Let b be v(-80). Solve 76*s - b = 28*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 807, 1619, 2421, 3207, 3971, 4707, 5409, 6071?\nAnswer: 6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 54230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1\/5 (c) -2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + 0 - (sqrt(24)\/(sqrt(12)*-1 - sqrt(12)) + sqrt(2)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(8\/120)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640*b - 7317 = 1193*b + 1176*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*h*l**2*p - 15272*h*l**2 - 135*h*l*p + 1993*h*p + l*p wrt l?\nAnswer: 152*h*p - 30544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111944*z**4 - z**2 - 14240*z wrt z.\nAnswer: 2686656*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/1 + -4)*-1. Let d = -7 + 7. What is the closest to 2\/9 in x, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -60.4 (b) 3 (c) -0.01 (d) -4 (e) -1 (f) -1\/3 (g) 1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c25a (base 13) in base 6?\nAnswer: -323545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9215 + 9162. Let x(s) = 4*s**2 + s - 1. Let l be x(1). Sort l, y, 1\/2 in descending order.\nAnswer: l, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 27)\/(3\/3)*-27. What are the prime factors of ((-10)\/3)\/((72\/k)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4 + 338644*h**3 + 14220312*h**2 + 134067824*h - 327726080 = 0.\nAnswer: -169280, -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 969*m*p*w**3 - 14*m*p*w + 3*m*w**4 + m*w**3 - 66*m*w - 2*p*w - 2 wrt w.\nAnswer: 5814*m*p*w + 36*m*w**2 + 6*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 132615?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867906986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 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: Put 9, -1, 266, 1, 3, -4 in increasing order.\nAnswer: -4, -1, 1, 3, 9, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, 1 in decreasing order.\nAnswer: 20, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -16. Suppose 0 = -u - 4*o + 22, a*u + 2*o - 23 + 5 = 0. Solve 6*v = -4*z + u*v, 3*v + 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d\/(((d\/(d\/(d**(-3)*d)))\/d)\/d)*d\/(d*d\/((d\/(((d**1\/d)\/d)\/d))\/d))*d**2)**(-1\/7) assuming d is positive.\nAnswer: d**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/4, 3\/2, -2\/3, -159.9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/88 and 82\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.05, 2\/11, 3, 6\/13, 428\/81?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 129*q + 666.\nAnswer: 3*(q + 6)*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 779.31 to the nearest 10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 1525264.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*j = -7*j - 244, -2*j - 242 = -2*s. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002391180567 rounded to 7 dps?\nAnswer: -0.0000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1230 and 53300?\nAnswer: 159900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.055237 + 0.04931. Let k = l - -0.006. What is k rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17\/(-8) - (-17 - -15))*-2. Which is the second smallest value? (a) 1 (b) -4 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-247)\/(-1)*(-12 + -10)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 * -1.35.\nAnswer: -0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 343 * -0.0284\nAnswer: -9.7412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 55*f**2 - 185*f + 27. List the prime factors of n(-26).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) -0.387 (d) -11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3634356 and 908589.\nAnswer: 3634356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 3. Suppose 72 - 24 = 8*k. Let v be s(k). Let m(c) = -c**3 - 3*c**2 - 3*c - 2. Calculate m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/3 + 6*r**4 + 119*r**3\/3 + 118*r**2 + 156*r + 72 = 0. Calculate r.\nAnswer: -6, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - -4.07. Let m = 6.3 - 7. Let w = 125\/164 + -1\/82. Which is the closest to m? (a) 0.2 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 * 6\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -19, 1\/73, 13, -1, 3?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.015 + 67.985. Let z = 67.97 - q. Let s = -14 - -11. Which is the closest to 1? (a) s (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/12, -3, 3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403134413 (base 5) to base 16.\nAnswer: -18a487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245438 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2794 is divided by 651.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/18 and 33\/(-55) - (-1 - 164\/(-135)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-23177)\/(-903))\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -222013320221 (base 4) to base 13\nAnswer: -2398142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5*y + 2*y + (2*y - 2*y + 2*y)*(1 - 3 + 1))*(-10*y**4 + 11*y**4 - 4*y**4).\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822252776?\nAnswer: 2, 3, 7793, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/21 + (-38636)\/(-28) + -3. Suppose 207 + q = 3*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311564 (base 7) in base 12?\nAnswer: -17722b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 15 - -16 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 5*b**2 - b + 14. Let n be d(-5). Is n equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41202 and 1?\nAnswer: 41201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2411 - -0.2?\nAnswer: -0.0411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18575.53 + -18657. Let m = -0.53 + t. Let n = -85 - m. Which is smaller: n or 1\/18?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*c - 4636*c - 128070 = 3213*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15.09 + 652\nAnswer: 636.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 162, 161, 160, 159, 158?\n\"Answer: -r + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4414042000 to the nearest 1000000.\nAnswer: 4414000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/402120 and 19\/28.\nAnswer: 2814840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 - 3*l + 2. Let p be d(2). Suppose 4*h + h - 25 = p. Solve 0 = -3*b + 4*t - 5, -h*b - 16 = -b + 4*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:39 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 + 9*f - 1. Let v be x(-4). Let g = v + 124. Let u be ((1 - 3\/2)*6)\/(-1). Solve g*m = u*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 10*w**2 + 5*w + 23. Let p be f(8). Suppose -5*x = -x + 248. Let z = p - x. Which is bigger: -5\/2 or z?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*(c\/(c*c**(10\/11)))\/c))\/c**(-8) assuming c is positive.\nAnswer: c**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -5. Let s be (-16 - w) + 1\/1. Let m be (-3)\/4 + (-15)\/(-4). Solve -2*f + 19 = 3*p, s*p - 16 = -m*f + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1380 and -1367 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:09 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(26\/(-8) + 2). What is the remainder when 9\/(-15) - 58\/h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 1. Let a(v) = -14*v + 8. Let q(o) = a(o) - 8*u(o). Let b(i) = -2*i**2. Calculate q(b(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -35, 5, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -572?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -3 - (10 + -15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -29. What is the remainder when 20 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 67 = 3*u, 4 = 2*g - 2*u + u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244 - 4?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/3 + 256*k\/3 - 85 = 0 for k.\nAnswer: 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 25 + (0 - (-1 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s, u + 25*s - 20*s + 16 = 0. What is the second smallest value in -2\/11, u, 2\/9, 0.02?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1108)\/(-46) + (6496\/(-261) - 536\/(-603))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381227957 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 7*i**3\/2 - 16*i**2 + i + 5. List the prime factors of p(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-5))\/((-15)\/(-375)). Let z = -28 + p. Let l be (-39)\/z - 21\/(-168). Calculate the greatest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59415208, 59415206, 59415204, 59415202, 59415200, 59415198?\nAnswer: 59415196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*x - 25 + 94, 3*c + 45 = -2*x. Is (117891\/x - -3)\/(1\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21607 times 516\nAnswer: 111.49212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6281 + -6.6281. Which is the second biggest value? (a) -1\/4 (b) 4 (c) 4\/7 (d) -2\/11 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 25. Let f(a) = a**3 - 7*a**2 + 15*a - 16. Let r be f(5). Calculate the remainder when 169 is divided by l(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (531*o - 367*o**2 - 1 - 756*o**2 - 529*o)*(3*o - 4*o + 2*o).\nAnswer: -1123*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4227952008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 976 - 974. Let v(t) = -t**2 - 3*t**2 - 14*t**z - 2*t**2 + 19*t**2. Let u(o) = -32*o**2 - o. Calculate v(u(d)).\nAnswer: -1024*d**4 - 64*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 12*a - 7*a + 65, 5*q - 112*a + 196*a = 87*a + 70 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 5*o + 4. Suppose -70*c + 27 = -61*c. What is x(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*9\/(-42). Let p = -182 - -186. Let m be (42\/9 - p)\/(-2). What is the nearest to m in -5, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1438 to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21698.2 - 48375\nAnswer: -26676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-4 - 117\/(-30)). What are the prime factors of -1*113*(v + 37)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:41 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238257971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-1)\/(-2)*4). Let c(y) = -3*y + 6. Let t be c(-3). Suppose -b = 2*p - 4, -p - 4*p - 5*b + t = 0. Sort 5, o, p in ascending order.\nAnswer: o, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -3 + sqrt(13) + (sqrt(13) + 0 + sqrt(13))**2*-6).\nAnswer: -sqrt(13) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1330.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/9)\/(1\/(-3)). Suppose 2*w - 4*w = r. Let n(g) = -g. Let q(d) = -5*d + 3. Let k(x) = 6*n(x) - q(x). Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215843 (base 9) in base 10?\nAnswer: 128991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lll. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*b + 67 = -5*w, -5*b - 5 = 0. Is (-13 - w)\/(1\/67) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times 325809.7?\nAnswer: -14661.4365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/48 + 5*r**3\/6 + 36*r**2. Factor a(n).\nAnswer: -5*(n - 2)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-6)\/4)\/3. Let h(j) = -4*j + 7. Let x be h(5). Let b = x + 27\/2. Which is greater: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6*4\/6. Let h = 0.02 + -5.02. Let n = 1 + h. Which is the third biggest value? (a) -1 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/54*(-4)\/25. Let m be (-6)\/(-10) + 13\/(-25). Which is the closest to x? (a) 0 (b) m (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 761, -20, 8008?\nAnswer: 761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143.4 + 143.1. What is the second smallest value in w, -7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 + 5.72. Round m to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67922 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**2 - h + 5. Let a be 20\/(20\/(-4)) - 0. Is 31 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/2 + 6*s - 15\/2 = 0. Calculate s.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**21*a\/a**3 assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 11}. What is prob of sequence mz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m + 0*m**3 + m**3 - 6*m**3 - 5*m wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8906374 years?\nAnswer: 0.08906374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86090215 + 1.93.\nAnswer: -86090213.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-782))\/((-420)\/45080)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a = 31*k + 115*a - 236, -a = 5*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 613100.4nm?\nAnswer: 0.06131004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4522699.4197 + -4522550.819697427. Let f = 148.6 - b. Round f to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191.2 + 262. Let z = -65 + b. Let a = 0.8 - z. Sort a, -0.3, -4\/7.\nAnswer: a, -4\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) 10\/3 (d) -1\/38 (e) -0.6 (f) 3 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8*(-8)\/(-32))\/(2\/(-22)). Suppose -g = -a + 5, 3*g - 3 = -5*a + r. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*20136.217\nAnswer: 10068.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z + 18*z**4 + 2*z**3 - 10*z**4 - 9*z**4 + 3 + 1 as m*z**4 + l*z**2 + s*z**3 + b + k*z and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 961057 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 3*a**7 + a**6\/3 + 12*a**3 + 2*a - 64. Find the third derivative of n(v) wrt v.\nAnswer: 2520*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34 - -38) + (-17 - -1). Let i(g) = -g - 12. Let f be i(y). Solve -3*d + d = f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282634919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - 0.09. Let n be (-2651)\/(-15) - 4\/(-10). Let a = n + -177. What is the second biggest value in a, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(32))\/(sqrt(9) - (sqrt(9) + sqrt(1089)*1 + sqrt(1089) - sqrt(9))) + ((sqrt(27) + -3)*-4 - (4*sqrt(30)*-2)\/sqrt(10)))**2.\nAnswer: -674*sqrt(3)\/7 + 452257\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-2 + 0))\/1. Let g = 22 + r. Let q(h) = h**2 + 11*h + 39. What is the remainder when q(-11) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 18 + 30 + 35 + 108 + 2*z**2 to the form c + g*z**2 + d*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 + 16 = 3*d, p + d - 8 = 0. Solve 0 = -x - x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -348 - -362. What is the smallest common multiple of h and ((-8)\/(-5))\/(4\/10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 119.01. Let a = r + 0.01. Let l = 7 + -6. What is the closest to l in -5, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12965332 divided by 1\nAnswer: 12965332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -28*q - 15. Let n be 6\/(3\/(-6)*2). Let d be f(n). Suppose 0 = 3*j - p - d, -j = 3*p - 5*p - 46. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/68987688 and 97\/11497948.\nAnswer: 68987688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, -91, 29, 12.\nAnswer: -91, -1, 0, 1, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*s - 16*s**2 + 25*s - 3*s**2 in the form b*s + h*s**2 + r and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 - 65*k**2 + 7*k. Give q(-13).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -16, -1\/4, 38, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, 1, 4.\nAnswer: -3, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 34*t**2 - 35*t + 68. Let p be i(33). Which is the biggest value? (a) p (b) 0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 5:16 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 5. Let z = -6 - -3. Let q be w(z). What is the highest common factor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 0 + 0)*(-4 + 0 + 2) + 4*s + 4*s - 6*s - 4*s + s + s)*(3*s**3 - 3*s**3 + 4*s**3).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 1\/120*q**5 + 0 + 0*q**3 + 4*q**2 - 1\/96*q**4 + 0*q - 1\/480*q**6. Solve h(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58, 9, -108, -329, -690, -1227, -1976, -2973?\n\"Answer: -6*t**3 + 2*t**2 - 13*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 61035.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -80*r + 71*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 9*j. Suppose -2*p = -p + 3*r + 20, j = -r - 5. Is p at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 819 and 21931?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2093 - 2034. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1491, 5971, 13437, 23889, 37327, 53751?\nAnswer: 73161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, -1, -37, -3, -21, -5 in decreasing order.\nAnswer: 358, -1, -3, -5, -21, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 21*u**2 + 24*u + 10. Let i(c) = -4*c**2 - 5*c - 2. Give 11*i(j) + 2*n(j).\nAnswer: -2*j**2 - 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4944 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 392 - 126 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*u + 8 - 65, -3*f - 3*u + 33 = 0. Suppose 4*a + f = 98. What is the remainder when 41 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.04. Let s = g + -3.04. Let h = s + 3.06. Round h to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let l be 46\/5 - s\/10. Suppose 0 = m - l - 3. Solve -2*w = w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*q + 21. Let b(z) be the third derivative of z**6\/120 - z**5\/15 - z**4\/4 + 5*z**3\/3 + 116*z**2. Is b(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453113885?\nAnswer: 3, 5, 593, 163363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + q**2 + 6*q - 22. Give k(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12219\/3976 + -1\/568. Let s be 3\/(-9) + (-21)\/(-9) - -13. Calculate the common denominator of (-29)\/(-2)*-2*s\/50 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 350.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*c + 740, -j = 3*c + 2*c - 169. Let n(p) = -4*p + 160. Let u be n(32). Calculate the greatest common divisor of u and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*(0 - (-4 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3301 (base 4) to base 3\nAnswer: -22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26132, -52218, -78304, -104390, -130476, -156562?\nAnswer: -182648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 2. Suppose -3*v + 6 = -0*v. Let m be f(v). Let p = 11 + m. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 - 730 - (20 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/360 - h**3\/3 - 2*h**2. Let r(w) be the first derivative of d(w). Let j(c) = 2*c**2. What is j(r(n))?\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 390. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*v - 63 = d, 84 = 4*d + 4*v. Let g = d + -19. Suppose -s - 2 = -3*s. What is the remainder when g is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b + 23*b - 9*b - 17*b - 7*b - 16*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*r**2 + 2*m*r*u*x - m*r*u - 58*m*r*x - r**2*u*x - 190*r**2*x + 5*r*x + 2*r wrt r.\nAnswer: 2*m - 2*u*x - 380*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 24 = -d + 7, h - 17 = -4*d. Suppose -h = -z - 8. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3380256 and 4656?\nAnswer: 3380256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.96 - -0.04. Let a be ((-3)\/(-10))\/((-3)\/(-5)). Let z = 3.4 + -3. What is the closest to a in c, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.285663 rounded to 3 decimal places?\nAnswer: 1.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 130*z**3 + 2*z**2 - 130*z.\nAnswer: -2*z*(z - 65)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 372 - 369. Let d be (-423)\/(-36) + h\/12. Solve 3*m + 0*m = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-10) - (2 + 6\/3 + (-3220)\/700)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62049138 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112)*-1 - sqrt(2112))\/sqrt(11))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105399 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffq when three letters picked without replacement from {r: 3, e: 1, f: 3, q: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 218050\/231 - (-11)\/(1452\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -73000 divided by 18250?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 19*a + 23*a - 32, 0 = -4*w + 3*a + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12218 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y = -1837 + 472 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a + 2*a**4 + 3 - 16*a - 3*a**4 + 2*a**4 + a**3 in the form v*a**2 + g + o*a**4 + r*a + c*a**3 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*o + 2*x, -2*o - 7*x + 2*x = -13. Let r be (0 + 3)\/(1 - 0). Is 38\/3 - o\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 4. Let y be (12\/10 + 0)\/(j\/(-170)). Suppose 4*z = 5*v + 74, -3*v - 38 - 32 = -y*z. What is the remainder when 43 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6241*j**3 + 3*j**2 - 3*j - 3. Let y(n) = 12486*n**3 + 7*n**2 - 7*n - 7. Determine 7*b(h) - 3*y(h).\nAnswer: 6229*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448217091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16653467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:50 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 2*x. Let m be c(-2). Is (-4)\/m + 606\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, l: 1, u: 5, n: 1}. Give prob of sequence ungg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769747?\nAnswer: 11, 19, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 + 68944*s + 12996816 = 0?\nAnswer: -188, 69132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 18*r - 17*r - 1, -3*r + 8 = j. Is -1\/1223 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = -10 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/5 - 9732*y\/5 + 3982112\/5 = 0.\nAnswer: 428, 9304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1c06?\nAnswer: 1c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*a**3*p + 2*a**3 + a**2*o*p - 3*a**2*o + 72*a*o*p + 2*o - 238 wrt p.\nAnswer: -16*a**3 + a**2*o + 72*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let t be 35 - ((-8)\/(-2))\/d. Suppose 4*k + b - 3*b - 48 = 0, -8 = 4*b. Calculate the highest common divisor of t and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28))\/((-140)\/(-224))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24\/18)\/((-2)\/2*1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -690070.68.\nAnswer: -75907.7748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s - 1. Suppose -6*b = -23*b + 17. Let p(d) = 3*d**2 + 5*d - 4. Determine b*p(z) - 5*f(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -9 + 24, -5*h + 4*k = -32. Put -3, 1, h in descending order.\nAnswer: h, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 36*n**2 - n - 53. Let a be o(-36). Which is greater: a or -50?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -901, -1962, -3159, -4492, -5961, -7566?\n\"Answer: -68*v**2 - 857*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/7))**(-1\/8)\/(z**(7\/2)\/z*z*z**(-3)) assuming z is positive.\nAnswer: z**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8848452 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769923945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1005 and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*l - a, -l - 1122 = -21806*a + 22182*a for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6934877 is divided by 103.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 158*a. Let k(g) = g**2 - 79*g. Determine -5*k(p) + 2*m(p).\nAnswer: p**2 + 79*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:10 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 34, 57, 96?\n\"Answer: 8*j**2 - 17*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76395 and 33000.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-98)\/4)\/(6\/4))\/((-28096)\/(-192) + -146).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/14 - (-5159)\/3136 and 25\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 3*l + 5. What is the remainder when 248\/(-12)*(0 + 3)*-1 is divided by q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 2:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1.8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*q + q + 280, 2*w - 3*q - 89 = 0. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12357871.\nAnswer: 31, 271, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 3*s**2 + 7*s - 4. Does 22 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452 and 546242.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*251.\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 40*c + 173. Determine d(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 0, -3\/5, 29804?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, -2 in descending order.\nAnswer: 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-1 - (-4 - -4)). Let t(k) = v - 5*k - 11 - 2 - 1. Let n be t(-4). What is the greatest common factor of n and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/33)\/(10\/(-18)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from ereeeere.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -3 (c) -309 (d) 0.5 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*u + 10 + 5, 4*n + u = 5. Sort n, -1\/5, -0.1, -1\/4 in decreasing order.\nAnswer: n, -0.1, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 30872202?\nAnswer: -30872180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87807.96 milligrams in micrograms?\nAnswer: 87807960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 84*c**2 - 715*c - 241. Determine d(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3757 rounded to 1 dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 2*c + 25, c - 15 = 93*o - 96*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1131 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455245 is divided by 113749.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 3*h + 2*x = -8, -4 = -h + x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1619 + 1078. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 152881, 152881, 152879, 152875, 152869, 152861?\n\"Answer: -j**2 + 3*j + 152879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.14, -33, 1\/3, 0.57?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2))\/z*z*z)\/(z\/((z**(-9)*z)\/z))*(z\/z**(-1\/18)*z)**(-40) assuming z is positive.\nAnswer: z**(-830\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-148)\/(-8) + -17)*16\/3. Solve -5*c = -2*k - 2 - i, 0 = -k + 4*c - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**3 - 623*l**2 - 2702*l - 305. Give o(82).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let x be 244\/v + -6 + 2. Suppose 3*q + 13 = x. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 6*z + 2. Let n be h(-6). Suppose -8 = -2*o, -o = -2*s - n*s - 20. Is -467*(s + 3 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*g + 6. Suppose -g*j = j - 27. Let q(a) = 2*a**2 - 9 + j. Let n(r) = 2*r**2. Give q(n(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 7*i**2 + 6*i. Let y be a(-4). Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.251 (b) 0.3 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 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: Solve -29*g - 33*g + 372 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 368. Is z a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -445, 4\/13, 0.08, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -63, -74, -79, -72, -47?\n\"Answer: s**3 - 6*s**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -50. Suppose i = -5*u + 5*d + 258, -2*u = -4*d - 96. Let v(m) = -m**3 + 8*m**2 - 7*m - 6. Calculate the remainder when u is divided by v(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 + t**2 + 1. Let a(n) = 236*n**3 - 153*n**2 + 5. Let r(o) = a(o) - 5*d(o). Find the third derivative of r(f) wrt f.\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2\/1765 (c) -21 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 626551435, 626551436, 626551437, 626551438, 626551439, 626551440?\n\"Answer: n + 626551434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285683 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -43. Let v be f*(-44)\/12*-3. Suppose v*q + 555 = 60*q. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*l + 3)*(-l**2 + 2*l**2 - 2*l**2) - 3*l**3 + 4*l**3 + l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 - 2*v - 7. Let t = -21 + 26. What is the units digit of r(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211022 (base 3) in base 7?\nAnswer: -11063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/6 + 5888*l**3\/3 - 29459*l**2\/3 - 76580*l\/3 - 27489\/2 = 0.\nAnswer: -11781, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2640 divided by 660?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) - (-12)\/(-30). Solve 0 = -c*n - 2*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3489\/2 + 1744. What is the smallest value in -37, n, -5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1880 + 2062. Calculate the greatest common factor of 1365 and n.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -14. Let z(p) = -p**2 - 8*p - 10. Let o be z(n). Find w, given that -10*w - 6*w + 12*w**o + w**3 - 16 + 15*w**3 + 4*w**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520687261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 11, 0.5, -2\/5, 1\/14, -33, -54?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 0.1 (c) -2\/11 (d) -44 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/(w\/(w**4\/w*w)))\/(((w\/(w*w*w**(-3\/4)\/w*w))\/w)\/(w**(1\/5)*w)) assuming w is positive.\nAnswer: w**(89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and ((-3)\/(-2))\/(42\/56).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*(128\/(-12))\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 8*m**2 - 6*m + 2. Calculate the lowest common multiple of u(7) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 346*v + 36. Let n be s(3). Let r = n - 553. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 2*p**4 + 2*p**3 + 2*p + 2*p + 2*p**2 to the form k + i*p**4 + j*p**2 + w*p + a*p**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:27 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 18*d = 11*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11313330303 + 3?\nAnswer: -11313330300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbdmildiddrlmr. Give prob of picking 2 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.23 - 19.2. Let i = h - 9. Sort i, 3\/8, 1 in descending order.\nAnswer: 1, 3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. What is u in u**5 + u**5 - 2*u**4 + 7*u**4 - 2*u**2 - 3*u**4 - 2*u**q = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -29. Suppose 0 = -15*y - 7*y + 594. Suppose -y*k + 19*k + 64 = 0. What is the least common multiple of h and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = 40. Let j = a + 13. Suppose j*z - 1 = 2, 0 = 3*w + 3*z - 12. Solve -w*n = -3*m - 18, -n - 4*n + 18 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*x, 542 = -281*c + 3*x + 57 - 2878 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 983.4 - 983.9. Put s, -790, -2\/5 in decreasing order.\nAnswer: -2\/5, s, -790","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeu when three letters picked without replacement from isseeiiiusiisi?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751665220*g - 1751665220*g + 16*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from cxsys.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-74))\/(351\/234)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j + 4. Suppose -b + 3*i = 16 - 1, 4*b = -2*i + 10. Let h be g(b). Solve -a = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-3)\/(-486)*4). Differentiate -z + 24*r - 24*r + 23*r**4 with respect to r.\nAnswer: 92*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6032686 rounded to 3 decimal places?\nAnswer: -0.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:43 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from ssssssssvsssssssss.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, 61, 17.77 in decreasing order.\nAnswer: 61, 17.77, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 8 - 11 = 3*v, 5*x + 3 = -3*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 7*r + 18. Let f(z) = -6 - 2*z - r - 3*z + z. Let c be f(-5). Which is smaller: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.378403 from 384.\nAnswer: 385.378403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.817 - 0.183. Let v = 0.1 - 0.2. What is the second biggest value in 1\/3, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 - 2*m**5 - 3*m**5 + m**5 - 2*m**5 - 2*m**5 + (2*m**3 + 0*m**3 - m**3)*(3*m**2 - 5*m**2 + 4*m**2).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 17*r - 39. Let l be x(14). Put -2, l, -1\/4 in ascending order.\nAnswer: -2, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 + 2*s**2 + 5*s + 15. Let y be p(-6). Let d = y + 741. Round d to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25565322*t**2 - 9717017 wrt t?\nAnswer: -51130644*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1254 - 771. Calculate the least common multiple of r and 276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + t - t)*(t + 3*t - t) + t**3 + 3 - 3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9174 + 578715. Let b be (3 + 1569538)*(-1 + 0). Let f = b + s. What is f rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3487576, -3487579, -3487582, -3487585, -3487588, -3487591?\n\"Answer: -3*b - 3487573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9759 divided by -5\nAnswer: -9759\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-3))\/((-2112)\/792).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1122 + 1822. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 914, 1365, 1814, 2261, 2706?\nAnswer: 3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 568681843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from tttttctt?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106676)\/(-2320203))\/(-2*2\/3)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 2\/17, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/7)\/((-464)\/448 - -1). Which is smaller: 265\/33 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 62*o = -0*o - o + 2112. Suppose -600 = -6*a + a. Calculate the least common multiple of a and o.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 853, 3, 1\/4, 9\/5, -4, -2, -3 in increasing order.\nAnswer: -4, -3, -2, 1\/4, 9\/5, 3, 853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and 272.\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/314670 and -4\/6913485?\nAnswer: 235058490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5700*u**2. Let l(t) = t**2. Determine l(a(g)).\nAnswer: 32490000*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4 (c) 3 (d) -5 (e) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 + 2*g + 4. Let m be v(-4). Is (24\/(-12))\/(m\/430) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16467, 16508, 16567, 16638, 16715, 16792?\nAnswer: 16863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 2214. Let v(i) = -3*i. What is l(v(j))?\nAnswer: 6*j + 2214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 254\/(-1034) + (-162)\/(-891). Sort n, 0.5, -2 in increasing order.\nAnswer: -2, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 5512?\nAnswer: -5415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8710 - -8884. What are the prime factors of y?\nAnswer: 2, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*x + 312, -2*s - 388 = -5*x + 2*s. Let n = 79 - x. Suppose 5*l - 357 = -2*z, -201 = -z + 8*l - n*l. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23425702*l + 136*l**3 - 162*l**3 - 23425702*l.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, 55 in decreasing order.\nAnswer: 55, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:28 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1167, -2311, -3421, -4479, -5467, -6367?\n\"Answer: 3*q**3 - q**2 - 1162*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x**2 + 13*x - 6. Let j(g) = -11*g**2 - 13*g + 7. Let c(i) = 6*j(i) + 7*q(i). Let u(r) = -r**2 - 3*r. Give 6*c(d) + 26*u(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4951.99 millimeters?\nAnswer: 4.95199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 4*k + 2. Determine c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -34. Let w be v*(2 + (18 - -2)). Solve -4*z = -0*z - d + w, 4*z + 2*d + 16 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*l**5 - 3902*l**3 + 87*l**2 + 3974782*l + 54 wrt l?\nAnswer: -300*l**3 - 23412*l + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475336.\nAnswer: 2, 184417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(2 + -3) - (-14)\/(-14). Sort 1, h, -1, -4 in descending order.\nAnswer: 1, -1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4 (c) 2\/13 (d) 0.03 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*(-4)\/(-2)*-2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38711694?\nAnswer: 2, 3, 7, 29, 37, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 537238499 to the power of 1\/2, to the nearest integer?\nAnswer: 23178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 15222?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k + 23. Let d(h) = -20*h + 44. Let a(b) = -2*d(b) + 5*j(b). Let l be a(2). What is the greatest common divisor of 133 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54349 = 3021*n - 66491 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -96)\/(-1*2). Let w be -4 + 0 - d\/(-3). Suppose 2*q + 94 = 2*m, -m + 2*q + 53 = -q. Calculate the highest common factor of w and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*a = -143 + 65, 0 = -3*v - 3*a + 84. What is the remainder when 99 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567 (base 8) to base 5.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 122 + 492 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/6 + 2*q**2 - 10*q - 1138. Solve d(h) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c**2 - c. Let u be k(1). Is ((-3)\/2)\/((-2)\/u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*q + 2*i + 58, -502*i = 2*q - 989*i + 483*i - 82 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2337114 (base 9) to base 5\nAnswer: 310434114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -327870 + 419317\nAnswer: 91447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 14 + 26. Let y be (-5)\/((-15)\/n) + -1. Let p(r) = r**2 + 4*r + 2. Let s be p(-4). Calculate the highest common divisor of s and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - r + 1. Let t be 1 - 3 - (-19)\/19. Let w = 12 + -10. Let o(q) = 2*q - 2*q**2 - w + 0*q - q**2. Determine t*o(a) - 2*d(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 547*n**5*v - 2*n**3*v**3 + 3*n*v**3 - 5*v**3 + 93*v wrt n?\nAnswer: 10940*n**3*v - 12*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 952.4824 litres?\nAnswer: 952482.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 1 + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(1 + sqrt(76)))**2.\nAnswer: 2500*sqrt(19) + 48125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*o**3 - 748*o**3 - 754*o**3 + 3733*o**3 - 762*o**3 - 752*o**3.\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-30))\/(-1)*(15 + -6) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - 71 + 637 - 1 + 1 - 1 + (-5 - 1 + 4)*(-1 - 1 + 1))*(-4*y**3 + y**3 + 2*y**3).\nAnswer: -464*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -48, -145, -18, -8 in decreasing order.\nAnswer: 2, -2, -8, -18, -48, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 4.2. Which is bigger: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 1)*(0 - 1). Let s be (28\/(-20))\/(q\/(-5)). Which is the second smallest value? (a) 0.5 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m - 25*m - 5*z - 35 = 36*m, 10 = -0*m + m - 2*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 223*p + 960. Give u(-6).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11004996 + 184\nAnswer: -11004812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291669500 to the power of 1\/2, to the nearest integer?\nAnswer: 17078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = n + 1036, -5*s + 5097 = -5*n - 83. Let x = n + 1040. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-1))\/g**2)**(2\/11))**(2\/61))**(-13) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 307*u**8\/28 - u**6\/30 + 443*u**4\/12 - u - 845. What is the third derivative of c(l) wrt l?\nAnswer: 73680*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-3*g + g + 0*g)*(6*g**2 + 4*g**3 - 6*g**3 - 2*g**2).\nAnswer: 4*g**4 - 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (13 + -7) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 2*o - 2*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 12}. Give prob of sequence gq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -5, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 76, 248, 580, 1126, 1940, 3076, 4588?\n\"Answer: 9*w**3 - w**2 + 6*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/120 + 7*b**5\/30 + 2*b**4\/3 + 11*b**3\/6 + 4*b**2. Is k(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 113 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*i = 2*i + 32, k - 3*i - 8 = 0. Let t be 7 + -2*12\/k. Find the second derivative of -t*n + 1 - 5*n**4 + 10*n**4 - 1 wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -162534600 - 23?\nAnswer: -162534623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-3*-2 + 4 + (sqrt(189)\/(sqrt(9)*1) - sqrt(21))\/(sqrt(63)\/(-1*sqrt(9))))**2*-3.\nAnswer: -32448 - 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 33. Solve -4*y + 17 = -x, 0*x + 2*x = -y + l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14.9. Let a = -627 + 250. Let c = a + 377. Put d, 4\/3, c in decreasing order.\nAnswer: 4\/3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -22*f + 3629. Calculate b(165).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:15 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 126*f - 2 + 19*f to t*f + h and give t.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60956 by 60956.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.954 - 3. Let f = -4.103934 - -4.0577. Let l = f - o. Round l to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2348761?\nAnswer: 19, 123619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, f: 3, c: 6, b: 6, a: 2}. What is prob of sequence afbc?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.423 - -0.223. Let y = r - -13.2. Is -18 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183122*v**3 + 47444*v**2?\nAnswer: 1098732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {v: 5, t: 2, r: 1, j: 1, a: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 140?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*((-1)\/(-4) - -2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/24)\/((-7)\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*j**3 + 0*j**2 + 0*j - 10\/7*j**5 + 6\/7*j**4.\nAnswer: -2*j**3*(j - 1)*(5*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-72) + (20\/3 - -1). Calculate the common denominator of 21\/32 and (-3 - -1)\/(x\/(-51)*4).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.4 (c) -0.0307038 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*l**4 - 24*l**4 - 21*l**4 + (-2*l**4 - 2*l**4 + 5*l**4)*(-1 + 1 - 1) + (2*l - l - 10*l)*(-2*l**3 + 2*l**3 - l**3).\nAnswer: -74*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016553 to 7 decimal places.\nAnswer: -0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5. Is -3 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -18 - 17 - 23 - a**2 + 57. Let v(y) = 5*y**2 + 2*y + 3. Let z(o) = 11*o**2 + 5*o + 6. Let f(g) = 9*v(g) - 4*z(g). Give f(u) + 3*q(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*k + 1599 - 1599)*((-5 + 2 + 4)*(k + 2*k - 2*k) + 4*k + 9 - 9)*(-3 + 2 + 2).\nAnswer: 250*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 13\/81 (c) -0.5 (d) 8 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(2\/4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1856911092, -1856911090, -1856911088, -1856911086, -1856911084, -1856911082?\nAnswer: -1856911080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615.1 less than -0.7729086464?\nAnswer: -1615.8729086464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -7*f**5\/15 + 33*f**2. Let j(x) = -x**2 - 26 + 18 + 8. Give q(j(r)).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.17 equal to -192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 203?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*z, -5*z - 2 - 4 = -2*t. Solve -2*f - 10 = 2*j, 5*f - t*j = -3*j - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 215*v**5 + 2*v**3 + 773*v**2 + 5*v. Let n(u) = -u**5 - u**2 - u. Let f(m) = -5*n(m) - q(m). Find the third derivative of f(x) wrt x.\nAnswer: -12600*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*763193.\nAnswer: 29001334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1855 + 1856. Is k <= 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -316, -313, -310?\n\"Answer: 3*w - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1282 + 1282 - 12*h**2)*(-49 + 30 + 18 + 140*h) to q + p*h + u*h**3 + s*h**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -673 - -636. Let g be x\/22 - 2\/(-11). What is the smallest value in g, -0.054, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 12*b + 11. Let z = -2 + 6. Let v(t) = -2*t**2 + 4*t + 4. Let m be v(z). What are the prime factors of h(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-6))\/(0 - (-4)\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 6)*(-8 + 1 + 3)*(372 - 6306*w + 3156*w + 156 + 3153*w) in the form r*w + o and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 2\/9 (c) 17 (d) -0.2 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**3 + 4*j**2 + 8*j + 19. Let s(z) = 2*z**3. Calculate -k(r) + 5*s(r).\nAnswer: -r**3 - 4*r**2 - 8*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.227, -0.3, 0.04, 1\/15?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (14\/(-5) + 3)\/((-1)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 3*l + 2*l**2 + 2*l**4 - 6*l - l to the form o + h*l**3 + z*l + b*l**2 + k*l**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 1566105473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let b be j(4). Suppose 0*p = -b*p. Let l(d) = d**3 - 6*d**2 - 4*d - 19. Let i be l(7). Solve p = 2*r - r + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 748220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/20338367 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvwbwxwixxdbw. Give prob of picking 1 w and 1 b.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 693.4 - -2\nAnswer: 695.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.4 (b) -0.1 (c) 2\/5 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 36.8108 micrometers?\nAnswer: 0.00368108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 + 9*p + 9. Let m be b(-7). Let n = 144 - 143.8. Put m, 4, -1\/4, n in descending order.\nAnswer: 4, n, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a - 12*p + 7*p, 0 = 3*a + 2*p - 5. Let z be (-2)\/(-8) - 7\/(-4). Suppose y - 5*h - 53 = 0, a*y + z*h - 193 = -0*y. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -31316*v**3 + 5*v**2 - 19*v + 130. Let u be q(9). What is u rounded to the nearest one hundred thousand?\nAnswer: -22800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2917645, -2917647, -2917649?\n\"Answer: -2*i - 2917643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)*q\/q**(-1\/6))\/(q**(1\/4)*q\/(q**(1\/4)*q)) assuming q is positive.\nAnswer: q**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*o - 19 = 49, 3*o = 12. Suppose 71*a - 5592 + 906 = 0. Calculate the greatest common factor of g and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + ((-4)\/2 - 0). Let n be (-16)\/(-12) + l\/6. Is 15 a factor of -12*((-3)\/2 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - a + 44 = -10*s, -3*s = -3*a + 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -5.12. Suppose -4*c + 9 - 1 = 0. Suppose x + 19 = 3*o + 5, -2*x - c*o + 12 = 0. What is the second biggest value in -4, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.673735 millennia to decades.\nAnswer: 867.3735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17151?\nAnswer: 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9774, -19540, -29306, -39072?\n\"Answer: -9766*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (-1 + (5 + sqrt(539)*1 + 0 + 4*(1 + sqrt(539)))*1)**2*-4.\nAnswer: -54157 - 2240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-45)\/20) + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -28*q + 5. Let k be p(-8). Let d = -2065\/9 + k. Which is the smallest value? (a) 11 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 - (-6 + (-3)\/(1 + 2)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -5*r**2 - 1\/4*r**4 + 0 + 0*r + 1\/2*r**3. Find the first derivative of k(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 11*y**2 + 11*y**2 + 5 as i + k*y**2 + a*y and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 49*n - 415. Determine d(37).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*-8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6)\/36 + (-50)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2\/19 (b) -4 (c) -3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mna when three letters picked without replacement from nnsamaapsnanpsaanap?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 943454792 equal to 943454793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000083919 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x - 293. Let r be l(-33). Solve r*u + 18 = 3*g, 4*u + 24 - 2 = 5*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43974085 * -4\nAnswer: 175896340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 331522*j - 3646500.\nAnswer: -2*(j - 165750)*(j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*25\/360 + 2\/4. Which is the closest to 1\/4? (a) h (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1655 + r**2 - r**2 + 2*r**4 + 16*r**3 + 2*r**2 + 2*r + 1624 to g + x*r**2 + l*r**3 + k*r**4 + i*r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 955604 divided by -188\nAnswer: -5083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12276 and 7145748.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -24, -3, 1, 0 in increasing order.\nAnswer: -24, -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1133 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(85\/(-4760))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose -4*a - 2*m - 1458 = 0, -2*m + 1443 = -z*a + m. Let d = -195 - a. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 3:14 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 124, -0.5, -2\/37, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjv when three letters picked without replacement from jjvvvuvvvvjjvjvju?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -250 + -5?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 25. Let z(o) = o**3 + 9*o**2 - 12*o - 6. Suppose 5*d + 25 = -3*c, d = 4*c + 6 + 35. Calculate the least common multiple of s and z(c).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4) + (-38)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972328 to the power of 1\/2, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*m = -1170, -6*d + d + 1950 = m. Let x = d + 388. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/504)\/((-6)\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 0.4 (c) 5 (d) -0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -19\/3. Let m = 53 - 53.5. Which is the closest to 1? (a) 4 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 50*b - 2. Let g(c) = 50*c - 3. Let r(l) = -5*g(l) + 6*j(l). Let z be r(4). Suppose -f - v - 12 = -z, 3*v = 5*f - 995. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 10. Let z = 121 - 849\/7. Let h be -1 + 48\/44 + 0. Which is the biggest value? (a) u (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 3*j + 1. Let w(n) = 3*n**3 + 5*n - 1. What is 3*w(x) + 5*z(x)?\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797288 a multiple of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**2 + 0*x**2 - 1 - 6*x**2)*(-2*x + 0*x + 0*x).\nAnswer: 42*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -35*w - 120. Does 10 divide m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3111 + 3107. Let s(f) = 2*f**3 + f**2 - f + 1. Let i be s(1). Sort z, -3, i, 2 in ascending order.\nAnswer: z, -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -889, -1376, -1861?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -11, -4, -53, 13 in ascending order.\nAnswer: -53, -11, -4, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1210822292 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 210.8819688 + -90\nAnswer: 120.8819688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3))\/c)\/c*c**(-4\/3)*c*c**(-8\/3)*c**(7\/4) assuming c is positive.\nAnswer: c**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -13\/2 (b) -12 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpppdppmsvmsmpm. Give prob of picking 1 v, 1 s, and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:44 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/71093 and -17\/98912.\nAnswer: 2274976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/68)\/(30\/(-16) + (-60)\/(-160))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1040\/2288)\/((-4355)\/(-429))?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.4853kg in micrograms?\nAnswer: 99485300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70611\/49210 - -135\/703. Let f = 1878251\/802650 + -1\/16053. Calculate the common denominator of p and f.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 17*w + 8. Let v(c) = -7*c**3 - 5*c**2 - 5*c - 9. Let d(x) = -3*x**3 - 2*x**2 - 2*x - 4. Calculate w*v(g) + 5*d(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 20533 = 19903 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1.51 in decreasing order.\nAnswer: 2, 1.51, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/24053?\nAnswer: 20\/24053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 36. Let b = z + -8. Let u = b + 32.26. Round u to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/8953488 and -125\/335232.\nAnswer: 214883712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 3. Let y(p) = -p**2 - 8*p - 4. Let s be y(w). Let n be (0\/(-3 - -2)*1\/2)\/(-1673 + 1672). Solve -h - o - 4 = -n*o, o = s*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 4983053?\nAnswer: 69762742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -381000 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225 = 54*w - 4*s + 1419, -5*s + 46 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 15*y - 6. Let k be v(12). Let n = 61\/110 + -16\/11. What is the common denominator of (9\/(-30))\/(36\/k)*67 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + (7 + 112\/(-8) - 0). Solve 0 = 60*c - 62*c + a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g - 12 = 0. Suppose 3*a + g*c = 8*c + 9, 0 = a + c - 3. Solve -h + 4 = a*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000141073872 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9094.11 - 9094. What is the biggest value in s, 1\/4, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1701314955 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 976736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 52521?\nAnswer: -52500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 882, -0.247, 66 in ascending order.\nAnswer: -0.247, 66, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -b + 177, 2*z = 2*b - 442 + 88. Let r = 313 - b. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12596?\nAnswer: 2, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 1 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 13*t**2 - 29*t - 6. Calculate u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**8\/112 + t**4\/24 - t**2 + 4. Let n(b) be the second derivative of k(b). Find the second derivative of n(o) wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.247*-5968\nAnswer: 1474.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 43 = -3. Let j = -7 + o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*-10*(-18)\/18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -22. Suppose 4*v = 2 - d. What is the lowest common multiple of 24 and 99\/(-22)*8\/v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21980, -999 in decreasing order.\nAnswer: 21980, -1, -999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 + 124. What is the second biggest value in -15, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.32 and 6.\nAnswer: 31.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let j = -468 - -478. Calculate the smallest common multiple of j and g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liiffffif. Give prob of picking 1 i and 3 f.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.357 and 63882.2.\nAnswer: 63882.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Factor 2*c**4 + 2*c**2 + c**u - 4*c**3 - c**2.\nAnswer: 2*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**4 - 39*c**3 - 33*c**2 + 48*c + 36. Let k(t) = -t**4 - 10*t**3 - 8*t**2 + 12*t + 9. Let m(j) = -9*k(j) + 2*n(j). Factor m(i).\nAnswer: 3*(i - 1)*(i + 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6316 and 160.\nAnswer: 252640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 13. What is p(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - 3*n**2)*(-123 + 255 - 125).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271*n**2*w*x - n**2*w + 8*n**2*x + 16*n**2 - 6*n*w + 32*w*x - 2*w wrt x?\nAnswer: -271*n**2*w + 8*n**2 + 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -18*u + 74. Let r be f(5). Let o(w) = -w**2 - 18*w - 31. Let h be o(r). Solve k = 2*q + 5, 3*q = -4*k - k - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncdx when four letters picked without replacement from {i: 2, u: 2, d: 4, n: 6, c: 1, x: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.037154 (c) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Suppose 3*u + 5*j - 485 = -58, 285 = 2*u + 3*j. Let d be 4\/u - 1\/4. What is the closest to 1 in 0.6, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14348685796*n**3 - 186533394492*n**2 - 6228876*n - 52 = 0.\nAnswer: -13, -1\/59893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -24\/13, -0.4, -15\/8, 0.4 in decreasing order.\nAnswer: 0.4, -1\/6, -0.4, -24\/13, -15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/18 and 14\/4239.\nAnswer: 8478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6066 - 1.6. What is i rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011000 - 10110111010001001?\nAnswer: -10110111111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27112421.\nAnswer: 7, 67, 57809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20854?\nAnswer: 2, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 16*k - 30. Let q be g(12). Let r = q + -161. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 m when three letters picked without replacement from uylkmlk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 1 - 1)*(-13 + 5 + 4 + 2*d)*(2*d**2 + 0*d**2 - d**2).\nAnswer: 4*d**4 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/(sqrt(6)*2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-2) + 3)\/(-2). Suppose -a - 14 = -i*a. Let h be (a\/21)\/(1\/21). What is h rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 30 = -3*q - 18, -6*q = -5*s - 42 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56473 is divided by 56458?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w + 225 + 1685 = -64 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1305992 and 1305993 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43910, 43946, 43982, 44018, 44054?\n\"Answer: 36*n + 43874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*z - 10 = 2*z, d - 6 = 2*z. What is the smallest common multiple of d and (-1 - -1) + 44 + -34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p + i + 4, 31 = 5*p + 2*i. Suppose -p*a + 13*a = 16. Suppose 2*z = -2*j + 9 + 11, -a = 3*j - 5*z. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**7\/21 - q**5\/5 + q**3\/3 + 10*q. Factor i(n).\nAnswer: 2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.13 (b) 0.07 (c) 0.5 (d) 4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4452 - -2208. Let p = -2693 + q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1826, 1815, 1790, 1745, 1674, 1571, 1430?\n\"Answer: -s**3 - s**2 - s + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 13*c - 6. What is h(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 0*i + 0*i)*(5 - 6 - 1)*((-i + i + i)*(0*i + 0*i + 2*i) + 3*i - 3*i + i**2).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/4)\/(12\/(-32)). Suppose 5*x + 112 - a = 0. Let k = x - -37. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3159855360 rounded to the nearest 1000000?\nAnswer: -3160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:22 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -61 (b) 1\/6 (c) -3 (d) -5 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-34)\/(-2210)*52 + 366\/(-120))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-20))\/((-3)\/(-3 + -27)). Which is smaller: r or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 210\/(-66) + 3 + 333\/1771. Let j = -9052440 - -21861642937\/2415. Let y = j - r. Which is the second smallest value? (a) -5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*a - 3*m + 33, 60 = 5*a + 2*m. Suppose 0 = -y - y - 144. Let g = 142 + y. Calculate the greatest common factor of g and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8958*l + 4057*l + 3877*l)*(2 + 3 - 4)*(-3*l + 2*l + 3*l + (5*l - 4*l + l)*(-3 - 1 + 6) - 2*l + 5*l + 2*l - 4*l + l + 2*l).\nAnswer: -10240*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10622 + 10635. Calculate the highest common divisor of 3627 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -7*d. Solve 5*n + d*n = 4*w + 25, -5*n - 2*w = -25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -270 + 265. Suppose -4*l + 20 = -7*b + 3*b, 22 = 5*l - 4*b. Put 1, g, l in descending order.\nAnswer: l, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 4. Let l be r(-4). Suppose -5*c + l + 29 = a, 2*a - 4*c - 96 = 0. Let y = -29 + a. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 98\/345 and 26\/105?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(162) + (-1 + sqrt(162))*-4 - ((0 + sqrt(162))**2 + -2)) + 1) + -4.\nAnswer: -624 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9509\/5 + 1887. Let b = -508\/35 - z. Suppose -6*f = -4*f + 2. What is the closest to 1 in f, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 1. Let q be p(2). Let c = q - 3. Solve c*a - 2*a + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031663 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -9. Suppose z - 1 = -7. Let k = z + d. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1377) - (-2*sqrt(1377) + -1)) + sqrt(1377) + (sqrt(1377)*-2 + -1 - 1*-2*sqrt(1377)))**2*4.\nAnswer: -576*sqrt(17) + 88144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 13453401627*c - 13453401610*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12769\/3 - 226\/3*r - 1\/3*r**2 = 0.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 times -4.9?\nAnswer: 1646.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9774, -19544, -29302, -39042, -48758?\n\"Answer: a**3 - 9777*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 109, -2\/9, 2\/53, 0, 81, 2?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 9:27 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = c - z, -5*c + 82*z = 86*z - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25649032 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 2*d**5\/15 - 11*d**2. Let g(k) = 2*k. Give n(g(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - f**2 - f**4 - 11*f + 12*f - f**2 - 2 as s*f**3 + p + x*f + i*f**2 + y*f**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61746 and 5020?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - q - 9. Let l = -9 - -9. Suppose l*g - 4*g = 0, i + 3*g = 0. Find the common denominator of 38\/11 and d(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 + i + 2. Let n be g(5). Suppose n*b - 24 = 4*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19402.5924 + 19446.6. Let a = 106 - 150. Let h = v + a. What is h rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 41 = 6*s - g, -2*s = -3*g + 6. Calculate the smallest common multiple of 249 and s + (-7 + 21 - 0).\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285\/7 + (-6)\/(-21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvkvkvkpkkjqkpqvqkq. What is prob of picking 1 k and 1 q?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3224009*a**5 + 2125065*a**2.\nAnswer: -193440540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -17*r**3\/2 - 168213*r**2\/10 + 86129*r\/5 - 396 = 0.\nAnswer: -1980, 2\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -104*x**2. Let i(j) = -8*j. What is i(m(l))?\nAnswer: 832*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4167*n**2 + 407*n**2 - 2876*n**2 - 178*n**2.\nAnswer: -6814*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.37 - -0.17. What is the second smallest value in c, 2\/3, 5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6*383\/1148 + (-3 - -5)). What is the highest common factor of r and 336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.331 and -2?\nAnswer: 1.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 39625436.83 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425501?\nAnswer: 47, 72883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 45*a + 23*a + 24*a.\nAnswer: 2*a + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s + 2. Let k(c) = -c**3 + 6*c**2 - 8*c + 7. Let v(t) = t - 1. Let y(q) = s*k(q) - 2*v(q). Let d be (31\/124)\/((-3)\/(-60)). What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(60\/(-45)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1087 - -1298.1. Let n = 211 - b. Is n bigger than 9.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 647\/9 + -1471\/18. Calculate the common denominator of m and 1 - (0 + 207\/(-114)).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38675?\nAnswer: 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 35 - 23. Let z(y) = -5*y**2 + 4. Let r(n) = 9 + 2 + 11*n**2 + 13 + 4 - 35. Give x*r(d) + 7*z(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -717 (c) 1\/4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.9771496 and 0.4.\nAnswer: -3.19085984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:21 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.6. Let y = -0.6 + 1. Which is the third biggest value? (a) h (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 28. Suppose 0 = -3*p + 4 + 8, -b*t + 1106 = -4*p. List the prime factors of t.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbb. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*c + 32*c**2 - 11*c**2 - 19*c**2 + 342*c.\nAnswer: 2*c**2 + 775*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -125.513605 + 45046\nAnswer: 44920.486395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + -5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1289 + -2107.7. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/88 and -59\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from afeajifrj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143717661*i**2 - 73*i + 382574?\nAnswer: 287435322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808960323.\nAnswer: 401, 4511123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/30 - q**4\/24 - q**3\/2 + 2*q**2. Let r(d) = -d**2 + 84*d - 605. Let y be r(8). Determine x(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) 0.2 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5*x**4\/4 - 5*x**2\/2 - 2*x + 211. Let u(s) = -2*s**3 + 3*s + 1. Give -4*d(m) - 9*u(m).\nAnswer: -2*m**3 - 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0)\/(4 + (-28)\/8). Suppose -3*h + 5*h = 6. Suppose -h*q + 44 = q. Solve -y = -4*y + w*x - q, 3*y - 3*x + 12 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36442817501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22 + 19\/((-31350)\/(-36322)). Let g(v) be the third derivative of -s*v**5 + 0 - 20*v**2 + 0*v + 0*v**3 + 1\/30*v**4. Let g(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2575.562 kilometers to meters.\nAnswer: 2575562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*c**4*f**2 + 274*c**4*f + c**3*f + 643*c**2*f**2 + 66*c*f**2 wrt c.\nAnswer: 432*c*f**2 + 6576*c*f + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*x + 65*x - 21*x)*(4*x - 4*x - 5*x)*(3 - 8 + 0).\nAnswer: 375*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 92, 4, 3.1 in ascending order.\nAnswer: 2, 3.1, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/9 and -109\/3080?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937875?\nAnswer: 3, 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:37 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 6 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5915 - 118333\/20. What is the common denominator of 22*(-7)\/728 + 4 + 45\/(-12) and y?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -7*n**4\/12 - n**3 - 6*n**2 - 37*n. Let u(v) = v**2 + v + 2. Let b(r) = t(r) + 6*u(r). Let j(i) = -97*i. Give j(b(k)).\nAnswer: 97*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171857.\nAnswer: 7, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18216*o**2 + 7*o - 7*o + 18211*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 234?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w - 38 = -63*w - 346 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133202 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/((-5)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/(4\/((-16)\/(-4)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -9. Let k = -0.7 + 8.8. Let q = k - s. What is the third smallest value in -6\/11, q, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2359376932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 + 9*w - 1. Let g be u(2). Let a be (g\/(18\/(-483)))\/((-1)\/2). What is a rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25b0d (base 14) to base 12.\nAnswer: 457a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Let y = 2 - 5. Let i = y - 0. What is the third biggest value in i, h, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -833, -833, -831, -827, -821, -813, -803?\n\"Answer: p**2 - 3*p - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956459 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: Let g = 987 - 987. What is the closest to g in 0.5, -31, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20*g**2 + 1 - 31*g**2 - 53*g**2.\nAnswer: -64*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 divided by 1?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6680785 and 445.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 7*z**4\/4 + z**3 - z**2 - 2*z + 1060. Let g(q) = 20*q**3 + 8*q**2 - 6*q - 5. What is 3*g(u) - 8*y(u)?\nAnswer: 4*u**3 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 15*u + 6. Give p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23138, -23145, -23152, -23159?\nAnswer: -23166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l*l\/l**(2\/9)*l)*(l\/(l**(-1)\/l)*l)**(2\/163))\/((l**(-2\/13)*(l*l\/(l*l**(3\/7)*l)*l)\/l)\/(l**0\/(l**(1\/10)\/l))) assuming l is positive.\nAnswer: l**(-7003627\/1334970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053?\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -3*k**4\/4 + 8*k**3 - 39*k**2\/2 + 18*k - 22. Solve p(y) = 0 for y.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3377, -3421, -3465?\n\"Answer: -44*q - 3333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/360 - d**5\/24 - d**4\/4 - d**3 + 6*d**2. Let g(o) be the first derivative of c(o). Determine g(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 133548845543399*r + r**2 + 133548845543399*r + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 395, 394, 393, 392?\n\"Answer: -x + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*n + 28*n = -226*n - 3228 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkmd when four letters picked without replacement from {m: 8, d: 1, k: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1700 and 192060.\nAnswer: 16325100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*l**2 - 2 + 465117*l**3 - 9*l**2.\nAnswer: 465117*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 10668530?\nAnswer: 682785920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2301)\/1593)\/((-8)\/(-9) - 1). What is the highest common factor of 52 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = -12. Let g be (1 - r*-5) + -1. What are the prime factors of 9\/g + (-117)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.291256 kilograms to nanograms.\nAnswer: 291256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:38 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, y: 4, w: 5, v: 2, l: 2}. What is prob of picking 2 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -81?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and -14127.288029.\nAnswer: -14127.228029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 251 + 348. Suppose 3727 + d = 3*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 0.3\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) -68 (b) 2146 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 13 = -4*f. Solve 3*v = -f*r - 6, 0 = -4*v + 4*r + 1 - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 52. Calculate b(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1105, 1128, 1151?\n\"Answer: 23*p + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 199 - 417 = 0. Let h = 169 - g. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 - 274.1. Let r = 120\/7 + -117\/7. Which is the nearest to r? (a) -4 (b) z (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3248, 13051, 29410, 52325?\n\"Answer: 3278*j**2 - 31*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 34*y**2 - 102*y + 64. What are the prime factors of t(24)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -64, -98, -126, -142, -140, -114, -58?\n\"Answer: d**3 - 6*d**2 - 23*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473746 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*p. Solve -2*z = -p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/7 - h**2 - 6*h\/7 = 0 for h.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**2 - 10*a - 5. Let l(j) = 10*j**2 - 14*j - 7. Let g(r) = 5*l(r) - 7*z(r). Let u(c) = 198*c**2. Calculate g(u(t)).\nAnswer: 39204*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4f (base 16) to base 10\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 21 - 11 = 0. Let q = 141 - w. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/13 - 1252*d**2\/13 + 1023216*d\/13 + 103175424\/13 = 0.\nAnswer: -1062, -92, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 30*i = 35*i + 1711, -3*y - i + 2541 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 3, k: 2}. Give prob of picking 3 v and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 7*t - 2. Let f be x(8). Let p = -504 + f. Round p to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n - 2)*(-1 - 4 + 5 - 174*n).\nAnswer: -348*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.04151 nanoseconds to milliseconds.\nAnswer: 0.00007404151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41375031 and 113938.\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -81) + (-44)\/11?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/30 - 85*i**2 - 2*i. Let v(m) = m + 4095. Give r(v(w)).\nAnswer: 2*w**2 + 16380*w + 33538050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u**2 + 44 + 50 + 315*u**2 - 16 - 76 - 46*u**2.\nAnswer: 327*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1183 times -0.08\nAnswer: 94.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -13*q + 7*q + 1 + 3*q. Suppose -3 = -s, 5*t = -0*t + 2*s - 21. What is the tens digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15235?\nAnswer: 5, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 3*w + 3*w + 2*w - 2*w - 2*w + (1 + 0 - 2)*(-4*w + 2*w + 3*w) + 3 + 2*w - 3)*(-13 + 0 - 60).\nAnswer: 146*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1573) + (-2*sqrt(1573) + sqrt(1573))*-1 - (3 + 0 + sqrt(1573)))**2)*-1*5.\nAnswer: -7885 + 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/3*8\/24. Solve 2*j + 5 = d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180, -186, -202, -234, -288, -370, -486, -642?\n\"Answer: -i**3 + i**2 - 2*i - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2269950 divided by -818?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 194 = 412. Let j = m - -57. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 98. Sort 5, 4, y in descending order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5192 and 2445727?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -94, -209, -394, -667, -1046?\n\"Answer: -3*i**3 - 8*i**2 - 18*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 53*x + 9760. Give p(-184).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*i - 26 = 2*j, -4*i = 2*j + 12. Let o be ((-12)\/(-8))\/(3\/4). Calculate the highest common factor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 172. Let s be c(34). What is the derivative of -105*x + 18304 + x**s - 12*x - 18510 wrt x?\nAnswer: 2*x - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98.69639 millennia?\nAnswer: 1184356.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -53*p**2 + 664*p + 8. Let n(z) = 19*z**2 - 219*z - 3. Calculate -8*n(g) - 3*x(g).\nAnswer: 7*g**2 - 240*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2570 and 50886.\nAnswer: 254430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.194 and -65.\nAnswer: -337.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/35 - -1)\/(1\/14). Suppose -a + 3 = -s + t, 2*a - 23 = -3*s. Suppose -8*d = -3*d + a*c - 227, 102 = 2*d - 4*c. Is d a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*f - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {w: 2, t: 2, f: 3, k: 1, o: 2, s: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*g + 1 = 0, 0 = 4*m - 5*m + 5*g - 21. Let l(s) be the second derivative of -2\/3*s**3 - 1\/3*s**m + 0*s**2 + 0 + 8*s. Solve l(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1527, 2\/7, -278, -0.237 in ascending order.\nAnswer: -278, -0.237, 2\/7, 1527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - o - 370 = 0, 0 = o - 4*o + 6. Let i = y - 89. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeao.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 2.5, 6, 1368, 0.1?\nAnswer: 1368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.224 rounded to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 8. Let m be 10\/b*(-1 - 1). Let z = 722.6 + -723. What is the closest to 0.1 in z, m, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39394087, 39394096, 39394117, 39394156, 39394219, 39394312, 39394441, 39394612?\n\"Answer: c**3 + 2*c + 39394084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4061354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 - 287. What is the third derivative of 19*j**6 + 219*j**o - 219*j**3 - 147*j**2 + j**5 wrt j?\nAnswer: 2280*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 times -34082?\nAnswer: 7463958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (121 + 48 - 20)*(4*q**2 - 3*q**2 - 3*q**2) + 2*q**2 - 3*q**2 + 0*q**2 to the form s*q**2 + d + f*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyrrryryyryryyyrr. What is prob of picking 1 r and 3 y?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 9, y: 9}. What is prob of sequence yz?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Suppose -2*f = a*f - 40. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5 = -5*z, 10*z = 5*z + 4*c - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100.779 - 0.221. Let l = 101.1 + u. Which is the nearest to l? (a) -2\/25 (b) 0 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25920 by -288.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 3*t + 3. Let u be l(3). Suppose 4*j = -2*i + 602, 605 = 2*i + 8*j - u*j. Let c = i - 1482\/5. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 2*h**2 - 5*h - 21. Let d be l(-3). Solve s + 3*s + 4*n = -16, -s - d*n - 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 16. Let z = o + 11. Let h be 7\/14 + (-4)\/(-16). What is the third biggest value in z, h, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Suppose -k*a + 5*r = -8, r - 2*r = -2*a + 4. Suppose j + 3 = a*j. Solve -3*c - 26 = -0*c + 5*x, j*x + 16 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1169 divide 46395272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*y + 9 = 0, -40 = -2*a - 5*y - 39 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 35 = 4*t. Let l(k) = 4*k - 28. Let n(c) = c - 9. Let g(y) = t*n(y) + 2*l(y). What is g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -39, -58, -81, -108, -139?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -3)*(-1)\/(-1). Let t be (-5)\/(4\/(-1664)*f). Round t to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*w - 85, m - w - 170 = -4*m. Let p(d) = -2*d + 1. Let i be p(-2). What is the remainder when 77 is divided by 1 + (-7)\/i + 714\/m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/(-15)) - -2. Determine u so that 15*u**2 + 17*u + u**3 + 8 + 2*u**3 + y*u + 4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*sqrt(133) + sqrt(133))\/(sqrt(252)*4).\nAnswer: -35*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = -3. Suppose -u*d = -6*d + 51. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 737*k**2 - 102*k - 16. What is the ten thousands digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40533096 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28820 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/10)*a**(-4)*(a*a**(-1\/3))\/(a*a*a*a**(1\/6)) assuming a is positive.\nAnswer: a**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) - 88\/12. What is the common denominator of (-56)\/(-12) - (12 + w) and (-5 - -2)*38\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2220999 - 9020999. Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 - t + 5. Suppose -j - 4 = 0, 2*a - 16 = 3*a + 5*j. Let n = 0 + a. Is k(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 482*r - 30 + 1903*r - 1421*r.\nAnswer: -r**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 10*x - 7. Let h be l(5). Suppose -g = 2*y + 4*g - 26, -2*y + h = 3*g. Calculate the least common multiple of 1 + (-1 - (-8 + 0)) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -32*r**2 - 7\/12*r**4 + 0*r + 0 - 2*r**3. Find the first derivative of j(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2 = 4*q - 9, q - 4*i = 28. Let d(m) = -m**3 + 7*m**2 + 9*m - 7. Give d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -11. Let m(z) = 10*z + 3. Let s(n) = 44*n + 13. Let f(p) = 18*m(p) - 4*s(p). Is f(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 335231996.4 from 0.07576.\nAnswer: -335231996.32424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b + r - 1843, -2*r = -3*b + 1858. Calculate the highest common factor of 396 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -727*j**7\/42 - 317*j**4\/6 - 20*j - 43. Find the third derivative of y(s) wrt s.\nAnswer: -43620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 - (-123)\/30 - (-94107)\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 587854 by -1.\nAnswer: -587854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1038\/13 + -80. Let r be -2 - 7\/(21\/(-6)). What is the closest to r in s, -0.2, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -15*m + 2651. What is q(146)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31527 or 31526?\nAnswer: 31527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 139*d - 2725. Let l be h(24). What is the greatest common factor of 17045 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 + 23*t - 36. Give l(8).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357132 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*s = 3*z + 26, 2*z = -5*s + 21. Let o(i) = -i**3 - 33*i**2 - 31*i + 32. Let t be o(-32). Let v = -7 + 12. Put t, z, v in descending order.\nAnswer: v, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (170\/18)\/((-132900)\/1435320)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 4)*(-l + 5*l - 2*l) + 0*l + 2*l + l + (-2 - 4 + 4)*(-4*l + 2*l + l))*(-15 - 74 + 21) in the form x*l + w and give x.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93762 is divided by 656?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 186 - 48 = 0. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 - 2*p - 4. Determine j(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 38 + 97. Let p be (-18)\/(-7) + (j - 12). Put 1\/2, -5, -4, p in ascending order.\nAnswer: -5, -4, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*x = -7*x + 2065, 0 = 5*r - 7*x - 10325. Calculate the remainder when r is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189885013?\nAnswer: 7, 2273, 200483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.42465um in nanometers?\nAnswer: 11424.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 887?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 961 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1432626\/42 - 216\/(-252)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252042 and 26418?\nAnswer: 9325554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 211232300?\nAnswer: -211232132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -359*b**5 - 437*b**2 - b - 4883. What is the second derivative of h(j) wrt j?\nAnswer: -21540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -85.06. Which is the closest to s? (a) 1 (b) 1\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 525393*t**3 - 4*t + 6*t - 2*t.\nAnswer: -525393*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*g + 7 = 0, -f - 6 = -4*g + 9. Does f = 8\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 787*n**2 + 4*n - 11. Let s be z(2). Let r = 6504 - s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2089, 4343, 6775, 9391, 12197, 15199, 18403, 21815?\n\"Answer: i**3 + 83*i**2 + 1998*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 9*b - 5. Let i = 16 - 7. Suppose -i = 4*f + 23. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (40 - (-15 - -55))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*y**2 - 753*y**2 - y + 7051*y**3 - 7048*y**3 in the form c*y**2 + v + g*y + o*y**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.16 (c) -0.223 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1533 is divided by 171.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, 2\/7, 2?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 2*w + w + w + 8*w**3.\nAnswer: 5*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 12452 = -34001. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w - 16. Let v be l(4). Suppose v*s = 31*s + 368. What is s rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 4. Let q(y) = y - 1. Let v(s) = -o(s) - 5*q(s). Let g be v(-1). Are g and -5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*c**3*m**2 + 57*c**3*m + 42*m**2 + 164*m + 1 wrt c?\nAnswer: -78*c**2*m**2 + 171*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -43. Suppose -5*j = -4*a + 38, 0 = -3*a - a + j + g. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + l = -416, 4*l + 959 = 4*d + 131. Let o = 1465\/7 - d. Let r = 0.3 + -0.2. What is the second smallest value in o, r, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2. Let x(j) = 47*j. What is x(i(v))?\nAnswer: 235*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 280, 616, 1086?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*j - 5 = 3*r, j = -r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:21 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*v = 34, -5*v + 47 = 2*b - 0*v. Suppose b - 3 = -2*x. Is (1348\/(-6))\/(x\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8126*t**3 + 3*t**2 - t + 113894.\nAnswer: -24378*t**2 + 6*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348 - 349.97. Let j = 1.482 + o. Round j to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1036580 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.005378 microseconds in minutes?\nAnswer: 0.0000000167563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 27. Let c be j(-9). Let n be (c + -1 + -1)*52\/8. Let d(l) = -7*l**3 + 6*l**2 + 6. Let k(f) = 14*f**3 - 13*f**2 - 13. What is n*d(w) - 6*k(w)?\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**17*w**(3\/7) assuming w is positive.\nAnswer: w**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -22*q - 24. Let o be 9\/(-45) - 52\/(-10). Let x be q\/(-3)*o\/30. Which is the biggest value? (a) 2\/9 (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - 6.1. Sort -4, 4, h, -1\/5 in increasing order.\nAnswer: -4, -1\/5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)\/k)\/(k\/(k\/(k*(((k*k*k**(-3\/2))\/k*k*k)\/k*k)\/k))*k)*((k**(1\/4)*k)\/k)\/k*(k\/(k*k**(2\/13)\/k)*k)\/k*k*k assuming k is positive.\nAnswer: k**(-907\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38416600*q + 49775115.\nAnswer: 38416600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 74, 112?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.1 (c) -0.01 (d) 3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-50) + 3467\/(-5). Let l = -221 - b. What are the prime factors of l?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 2*f - 222. Let h = f - -42. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (5 + -3)) + (45 - -7 - 77).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/9267, -6\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2604625?\nAnswer: 5, 67, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -6*x - 8. Suppose -5*z - x = -g - 7, 2*z - 2 = 0. Solve w - 4 = -a, -a - 3*w - 8 = -g*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27982, 33565, 39148, 44731, 50314?\n\"Answer: 5583*g + 22399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 1, -44, -8 in decreasing order.\nAnswer: 6, 1, -5, -8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k. Let c(p) = 2*p. Let o(y) = -5*c(y) + 2*g(y). Let b(w) = 14*w. Calculate o(b(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/12)\/(3\/(-116391)). Let q = -3236 + l. Let x = -861\/26 + 8\/13. Find the common denominator of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 11. Suppose s*h = 4*r + 12, r - 4*h = -2*r - 12. Suppose 5*z + r = 15. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-4 - 3 + 5)*(0 - 1 - 1)*(-22575*z + 11278*z + 11837*z).\nAnswer: 4320*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(17\/((-1632)\/(-4))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1*q*q)**(1\/15)*(q\/((q\/((q**(-2)\/q)\/q))\/q*q))\/(q\/(q*q**2))*(q**(-1)*q**(-1))**(4\/27) assuming q is positive.\nAnswer: q**(-274\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.2. Let k = -1.2 + d. Let g = -7\/1710 - -3469\/11970. What is the third smallest value in k, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v + 28*v - 6 + 1 + 19*v - 60*v - 12*v**2. Determine y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 13*s**2 - 14*s + 5. Let g be d(-14). Sort -2, g, 35.\nAnswer: -2, g, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 12 = -32*f - 2*n, -5*f + 12 = -4*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Suppose -k = -2*u + 4. Let y be 2\/(((-6)\/20)\/(-3)). Solve -u*f + y = 2*n - 0*n, -3*f = 4*n - 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 23055*k**3 - 69183*k**2 + 69189*k - 23064.\nAnswer: 3*(k - 1)**3*(k + 7688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6331, -6371, -6411, -6451?\n\"Answer: -40*t - 6291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*t - 10, 3*t + 8*b - 10*b - 14 = 0. Let l be (1\/t)\/((-76)\/40 + 2). Determine m, given that 5\/3*m**2 + l*m + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1569395657 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 95. Let d(r) = 4*r**2 + 2. What is d(i(s))?\nAnswer: 16*s**2 + 1520*s + 36102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -88 + 5581?\nAnswer: 54d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0 - 4 - 1 + 1 + 5 + 0 + 1 + 1 - 3 - 3 - 1 + 2 + (2 - 2 - 1)*(6 - 3 - 1) - 5 - 8 + 3)*(0*h + 4*h + 2*h).\nAnswer: -168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3060\/378 - 8)*18\/4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98679 and 6993?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-6*4 - sqrt(84))\/sqrt(12) + 4)*-5.\nAnswer: -20 + 125*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j - 132 - 11*j - 137)*(-j**3 + 3*j**3 + 0*j**3).\nAnswer: 2*j**4 - 538*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - p + 18, -2*q = -3*p + 4. Let u be q\/25 + 48\/15. Let h(r) = r**3 + 3*r**2 + 4*r + 4. Let y(l) = -2*l**2 - 3*l - 3. What is u*y(b) + 2*h(b)?\nAnswer: 2*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 1, -84, -1696 in increasing order.\nAnswer: -1696, -84, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*k - 0*k, 0 = -5*b + k + 17. Suppose -105 = -b*u + 5*n, -3*u = n + n - 96. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/5, -2, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibzbibiiiibiiibbiz. What is prob of sequence zb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**7\/420 - 7*i**6\/90 + 49*i**5\/60 - i**3 - 8*i**2. Let m(o) be the first derivative of q(o). Find r, given that m(r) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, u: 4, x: 2, f: 1}. Give prob of picking 2 x and 1 f.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4535 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1977 = -t, 0*o + 2*o + 8 = 0. What are the prime factors of t?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)*-7*-1. Let y(m) = -2*m + 3 - m - s - 3. What is the units digit of y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-3\/32)\/(q\/(((q\/(q\/(q*q**4\/q)))\/q)\/q)*q*q\/((q\/q**1)\/q))*(((q*(q\/((q\/(q\/(q*q**3)))\/q))\/q)\/q*q)\/(q**(-3)*q*q))**41 assuming q is positive.\nAnswer: q**(-5501\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -578*d**3*y**2 - 867*d**3*y - 3*d**3 + 23*y**5 + y wrt y?\nAnswer: -1156*d**3 + 460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 14 = 2*j + 4*x, 3*j = -2*x - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -129. Suppose -5*g + c = -65. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**5 - 335*n. Let y(q) = -5*q**5 + 336*q. Let l(g) = -3*m(g) - 4*y(g). What is the second derivative of l(i) wrt i?\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62061 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, -44, -120, -204, -284, -348?\n\"Answer: 2*h**3 - 22*h**2 - 4*h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1404)*-5 - sqrt(312)\/(2*sqrt(8)))\/(sqrt(9)\/sqrt(192) - sqrt(54)\/sqrt(2)).\nAnswer: 244*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22963148 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from igijfrrgfrrriifiiii.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/6 + 14\/(756\/603) + -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-64 + 144 - 26)*(0*t**2 - t**2 - 6*t**2).\nAnswer: 1134*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.71507 hours to seconds.\nAnswer: 168174.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170 - -165. Let y(g) = g**2 + 7*g - 1. Calculate y(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7859984344.\nAnswer: 2, 12743, 77101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -38. Let s(z) = -z**2 + 11*z - 22. Let n be s(10). Let j = n - y. Solve 2*o - j = 2*k, -2*k - 12 = -2*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 273, -19\/6 in increasing order.\nAnswer: -19\/6, -0.3, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3006 (c) 1\/5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5310.859s to nanoseconds.\nAnswer: 5310859000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -45*w**2 + 65*w - 65. Let k(v) = -4*v**2 + 6*v - 6. Let m(l) = 65*k(l) - 6*o(l). Let j(y) = -y**2. Determine m(j(c)).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 999?\nAnswer: -99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39966 - -599494\/15. Let f(a) be the second derivative of -p*a**3 - 16*a + a**2 + 0 - 1\/30*a**4. Let f(o) = 0. What is o?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/228)\/(3\/(-1281)). Let y = -27\/19 - c. Find the common denominator of y and 39\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*x**3 + 4\/7 + 2\/7*x**4 - 6\/7*x**2 + 2\/7*x = 0. What is x?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -34*c**2 - 461*c - 161. What is k(-13)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.27 - 34.93. Let j = w - -36. Suppose 0 = -3*z - z. Sort z, j, -5 in ascending order.\nAnswer: -5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12763*d - 5*d**3 + 12762*d + 12769*d + 12815*d - 51109*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 800305 and 75.\nAnswer: 12004575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003070499 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, -11, -5, -956.\nAnswer: -956, -11, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 737102671\/38 - 19392435. Let m = 10013\/2 - a. Calculate the common denominator of m and -51\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 - -999037.961\nAnswer: 999039.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*p = -39, 0*p = -5*q - 3*p + 49. Suppose -q = 2*u - 19. Differentiate -7*a**4 - 42 + 68 + 14*a**u + 6*a**4 with respect to a.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5681 (base 12) to base 5.\nAnswer: 301401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4518 > -1.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let x(q) = 175220*q**2. Determine w(x(c)).\nAnswer: 30702048400*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = -39. Let t = i + 21. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 434\/((-238)\/17) - -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/46698?\nAnswer: -17\/46698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 236 = 3*r, -3*y = y - 5*r - 930. Suppose -5*h - 10 + y = 0. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567232619.\nAnswer: 567232619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/3, 4\/5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1015334265 + -13?\nAnswer: 1015334252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 55*t + 249. What is u(-8)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 184?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187582.\nAnswer: 2, 71, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**3 - 4*u**2 - 3*u + 9. Is y(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 6 - -4) + (-34 - -33) + 4 + -34.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 124296.8 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*z + z. Factor -2*v**3 - 4 - 6*v**2 - z*v - 3 + 0*v**3 + 5.\nAnswer: -2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000606979131 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**3 + b**2 - b - 1. Let z(v) = v**3 - v - 1. Suppose 6*m - 8*m = -5*g + 3, -2*m + g + 1 = 0. Determine m*z(k) - j(k).\nAnswer: -5*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 = -2*p, -2*p + 3*t + 17 - 4 = 0. Suppose 10*y - 6*y = 4*f + 16, 14 = 5*y - p*f. Solve 3*w - 24 = 3*c, -y*c = -7*c - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 1 + 2*r + 3)*(100 - 20 - 54) to b + o*r and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 23*p**2 + 48*p + 3. Let q be k(5). Is 817 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syjy when four letters picked without replacement from ysyssjsysjyyyjsyyfy.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3459 divided by 363\nAnswer: 1153\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411838?\nAnswer: 2, 705919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96814 is divided by 265?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4\/9 + 4477*v**3\/9 + 1005305*v**2\/9 + 466817*v\/3 + 44402 = 0.\nAnswer: -447, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21104432?\nAnswer: 2, 23, 57349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 7*p**2 - 13*p - 97. Give a(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26723, 4\/5, 5 in decreasing order.\nAnswer: 26723, 5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/2, 0.2, 0.01?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2193222, -4386446, -6579668, -8772888, -10966106?\nAnswer: -13159322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:34 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 1.373.\nAnswer: -8.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - 2*r**2 + 3*r + (0 - 5 + 3)*(r**2 + 1 - 1) + 0*r**2 - r**2 + 0*r**2 - r**2 + 3*r**2 - 3*r**2 - 5162*r**2 + 1040*r**2 + 292*r**2.\nAnswer: -3836*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.760807859 + 8.239192351. Let x = 39 - y. Round x to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 - t**3 + 3*t**2. Let k(h) be the first derivative of c(h). Let d(x) = 10*x**2 + 10*x**2 - 16*x**2. What is k(d(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110 + -155 + (-10 - -46)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*g - 130\/3 - 2\/3*g**2 = 0. Calculate g.\nAnswer: -65, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651?\nAnswer: 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/7 (b) -2 (c) -4 (d) 0.126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8431\/54 - 311\/2. Calculate the common denominator of 121\/54 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.668 and 181.\nAnswer: -844.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:56 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahhhaa. What is prob of sequence hahh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 134299990 to the nearest one hundred thousand.\nAnswer: 134300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147120 by 60.\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*y + 21. Factor 3*o**2 + 229 - 6*o - 229 + 15*o**4 + 24*o**y.\nAnswer: 3*o*(o + 1)**2*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7. Let z = 15 - r. Calculate the greatest common divisor of z and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4553 = -1324*w + 12153 + 34930 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 9*u**2 - 19*u - 2. Let p be n(4). Suppose p*b - m - 2 - 4 = 0, 0 = -4*b - 4*m + 36. Solve 10 = 3*w - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Suppose -3*t - 41 = -47. Suppose 0 = 3*f + 4*o - 10, 0*o - 20 = -5*o. Which is the closest to f? (a) t (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -63 - (0 - 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 <= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14592.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 11, -0.3, 1\/7, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 325 = -2*z - 101, 0 = z + 2*f - 110. Suppose -z - 86 = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 52*c - 585. Determine z(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(720) + 2))**2 + ((sqrt(125) + 1)*1 - sqrt(125))*1.\nAnswer: -144*sqrt(5) + 6485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 15. Let t = -2.1 + 2. Let d = 1 - 0.5. What is the closest to f in -5, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -831, -2\/5.\nAnswer: -831, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -4) + (19 - (-11 - -20)) + -10 + 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-24)*(-2)\/((-8)\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, x: 1, j: 1, k: 1, u: 2}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t - 3*t + 6*t)*(-8 - 5 + 5) + t + 0 + 0)*(0*t - t - t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(35))\/(-1*sqrt(405)).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 27, 28, 11, -30, -101, -208, -357?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20352, -42474, -64606, -86754, -108924, -131122?\n\"Answer: -g**3 + g**2 - 22118*g + 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74068 and -6437?\nAnswer: -476775716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - -4088eb6?\nAnswer: 4088ea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 divided by -5?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 496 - 87. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 303447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let u(y) = 15*y**3 - 11*y**2 - 3*y. Let z be 8\/24*(0 + -18). Let a(x) = z*o(x) + 2*u(x). Find the third derivative of a(v) wrt v.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1299100?\nAnswer: -1299100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186817, -373573, -560265, -746893, -933457?\nAnswer: -1119957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -25. Let w(g) be the third derivative of -g**4\/8 + g**3\/3 - 67*g**2. Let v be w(0). Is v smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/231 + (-12)\/66?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359202.\nAnswer: 2, 3, 131, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -183964 divided by -11?\nAnswer: 16724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2286 or 2285?\nAnswer: 2286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -27.2. Let f = 73 - y. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00712 to 4 dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1007185804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30326*l**5 - 14*l**2 - 12*l - 8.\nAnswer: 1819560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(56\/12)*-1*(-7)\/(-21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 46*t - 23 + 13 to r*t + n and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**3\/2 - 6980*b**2 + 4872040*b = 0.\nAnswer: 0, 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Let r(d) = -1247*d**2 + 145. Let h(x) = -26*x**2 + 3. Let o(n) = -145*h(n) + 3*r(n). Determine o(z(q)).\nAnswer: 29*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214271 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-21)\/(s**(-2)\/s)**(6\/7))\/((s**(-6\/7)\/(s\/((s\/s**(2\/9))\/s)))\/(s**(-2\/13)\/s*s*s\/(s**(-7)*s))) assuming s is positive.\nAnswer: s**(-7783\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q = 60. Suppose -2*c + q = -84. Calculate the remainder when c is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2574*a - 229090. What is s(-89)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60928 and 768.\nAnswer: 182784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.024 + -0.076. Which is the biggest value? (a) n (b) -0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t. Let y(r) = -23*r. What is 5*g(q) + 3*y(q)?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85885 divided by -17177.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*z - 221. Let u = z - -338. List the prime factors of u.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*y + 3*y + 73, 4*k = -5*y + 161. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.964 - 2. Let u = -630629 - -630629.03599946. Let h = j + u. Round h to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d + 5*d. Sort 2, d, -3 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/5 (b) 0.06 (c) -5 (d) -4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) - (-3 + (1 + sqrt(468))**2).\nAnswer: -466 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8302 (base 11) to base 14\nAnswer: -4029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 0 - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 2*y + 5. Suppose -5 + 0 = m. Let q be c(m). Let n be ((-4)\/q)\/((-1)\/5). Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 8*v - 8. Let x be w(6). Let j be 3\/3 - -2 - (-31)\/1. Let t = j - 35. Put t, x, 1 in increasing order.\nAnswer: t, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175245.2 rounded to the nearest one thousand?\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 4) to base 8.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by -3\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 + 2. Let p = 0.6 - 1. What is the second smallest value in w, 5, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -98*o**5\/17 + 10710*o**4 - 93442990*o**3\/17 + 7998987130*o**2\/17 + 16279032000*o\/17 + 8186419712\/17 = 0.\nAnswer: -1, 109, 6128\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -113) + (-4)\/2. Let h be l\/21 - 4\/14. Sort h, 4, -4 in decreasing order.\nAnswer: h, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 4*i + 4*i + 4*i**3 - 34 to the form k*i**3 + g + a*i + p*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 72 + 72)*(0*r**4 + 0*r**4 + 2*r**4).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/40 and -29\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -7710?\nAnswer: 1\/3855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, a: 2, b: 1}. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 833.5 to the nearest 10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:27 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3795\/1892)\/(-69)*(-72)\/30?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 + 7*l - 13. What is c(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (4 - (-1 + 4))) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373891.\nAnswer: 7, 31, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1343, 1332, 1307, 1262, 1191?\n\"Answer: -u**3 - u**2 - u + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 2*c + 2*c. Let b be p(5). Let t be 3 - (2 - 3\/(-3)). Solve t = -5*r - 5 - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a factor of 164682548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1 + 2*i**3 - i - 2 - 3*i**3 + i**2. Let f(p) = 5*p + 5 - 1 + 2*p**3 - p - 2*p**2. Suppose 5*z + 13*z = 18. Give z*f(n) + 4*k(n).\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5*f**2 - 4*f + 1555. What is t(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892540 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2682 = 6*k. Let d = k - -742. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = p + 5 + 7, 0 = -4*l - p + 15. Let z = -6 - -9. What is the third derivative of -l*k**2 - 5*k**3 + 5*k**z - 3*k**6 wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1 - (-2)\/4. Let y be ((-3)\/3)\/(7\/2). Which is the third smallest value? (a) y (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 5 = -23. Which is bigger: -18\/13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1083 + 38.1083. Which is smaller: -3\/5 or k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 1101*i - 561*i - 540*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39500000 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {q: 2, r: 1, t: 4, i: 4, l: 6, z: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = 5*l - 17, -2*g - 2*l + 8 = 0. Let m = -3878 + 3882. Put g, m, -4, -5 in increasing order.\nAnswer: -5, -4, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794*m + 1795*m = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmuerqccecu. What is prob of sequence eccu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 2*t**4 + 2*t**3)*(0 + 3 - 1 + (-1 + 1 - 2)*(0 - 1 + 3) - 2 - 3 + 4)*(44 - 3 + 27).\nAnswer: -408*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(-133)\/(-1254)*4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + -163?\nAnswer: -162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4, 1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -654.27 to the nearest 10.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1983 + 10 - (1 + -4). Let o = t - -3821. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 326 + 123 - 2*q + 33.\nAnswer: -2*q - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 90 = 2*k - 92, 4*g = -5*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*n + 14 = 0, 16 = -10*d + 7*d + 5*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/79389 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 - 13*p - 6. Calculate the remainder when c(6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35043 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95693?\nAnswer: 13, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tak when three letters picked without replacement from {r: 2, t: 1, a: 2, h: 2, x: 1, k: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/24)\/(-4*(-2)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76422757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1360*-3\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 241*k**2 + 3*k + 2*k + k.\nAnswer: -241*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6044.5 litres?\nAnswer: 6044500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/18)\/(51\/(-531)). Let y = x + -4\/17. What is the closest to 1 in -5, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 34. Let d be (-4)\/(-6) + r\/(-12). Suppose d*g = g + 75. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*4.63\nAnswer: 13.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2299\/(-165) + 11 - 3\/(-5). Let a be ((-2)\/(-4))\/(2\/(-12)). Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(27)*4*-6.\nAnswer: 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 9. Let b be s(2). Solve 0 = b*o - 22 + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-17)\/(-51)*1\/(-5)*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24881351 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/24 - g**2 + 8*g - 450. Factor l(b).\nAnswer: (b - 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*i = -125*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 29*t - 15. Suppose -y - 4*y - 80 = -4*s, -y + 3*s - 16 = 0. Calculate the remainder when 86 is divided by w(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 - 332 - 9*f - 18*f.\nAnswer: -27*f - 635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*n - 85 = -1, 5*n = 0. Let s = u + -27. List the prime factors of 3 + 153 + -6 + s.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -489741 by -243.\nAnswer: 163247\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/20 + h**3\/3 - h**2 - 253*h + 2. Give a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 8 + 71 = 0. Suppose -5*k + 4*x - 1 = -d, 6 = 3*k - 3*x. Suppose k = 5*g - g - 24. Calculate the lowest common multiple of g and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:14 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from qhhqhqqdeqhqqqq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(7) + 4 + sqrt(112) + sqrt(7))**2 - sqrt(70)\/sqrt(160)) + (-1*sqrt(112) - sqrt(112))*3 + 4).\nAnswer: 95*sqrt(7) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r + 99 = -44*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/45*(163\/(-9291))\/(10\/108).\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + 279*w + 714. Determine p(95).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1602 or 1603?\nAnswer: 1603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(((((n*n**(-2))\/n*n)\/n)\/n)\/n))**(5\/6)\/(n**(-3)\/(n*n*n**7)))**(-1\/42))**(19\/3) assuming n is positive.\nAnswer: n**(-1843\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 198864 + -7\nAnswer: 198857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4348 minus -71.469566?\nAnswer: 73.904366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146 - -293. Find the third derivative of -7*r**2 + 1 - 1 + 142*r**3 - u*r**3 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110 - -102)\/(-1 - (-27)\/29). Let s = n - -312. List the prime factors of s.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 565.6103858 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*2)\/(sqrt(88)\/sqrt(11) + sqrt(2)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/7))\/i**(-1\/10))**42 assuming i is positive.\nAnswer: i**(321\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/7 + b**4\/7 + 2*b**3\/7 - 2*b**2\/7 - b\/7 + 1\/7.\nAnswer: -(b - 1)**3*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1aa7 (base 11) to base 16\nAnswer: -a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43831371 by 2.\nAnswer: 43831371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.61382 * -2814\nAnswer: -7355.28948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {s: 3, m: 1, k: 3, h: 1, y: 5, c: 4}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 5664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2357778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r - 4*d, 2*r + 10*d - 5*d + 19 = 0. Let n = 20.8 + -21. Let v = 493\/6 + -82. What is the nearest to r in n, v, 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*i - 290, 5*y + 1 = 6*y. Let c = 145 + i. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388892 divided by 97223.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-12)\/p*p*p)\/p)\/p)\/p*p**(-3))**49\/((p\/((p**(-1\/6)*p)\/p))**(-28))**(-2\/13) assuming p is positive.\nAnswer: p**(-32683\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425559*g + 425683*g + 2232 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)\/h)**(13\/6)*(h**(-2\/11))**(-41) assuming h is positive.\nAnswer: h**(635\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = c. Suppose -3*q = c*q. Suppose q*f = 2*f - 80. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -246781\/3, 0.02, -11 in ascending order.\nAnswer: -246781\/3, -11, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6310869.73 rounded to the nearest 100?\nAnswer: -6310900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 - 2*l**2 + 53*l + 4459. Let a(z) = 2*z**3 - 2*z**2 - z. Let h(r) = -a(r) + j(r). What is the first derivative of h(n) wrt n?\nAnswer: 12*n**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 + 16\/12*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from dxxsqmvmmxssq?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1558658 - -1?\nAnswer: 1558659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*t**5 + 65*t**4 - 415*t**3 + 215*t**2 + 120*t = 0. Calculate t.\nAnswer: -8, -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**5*t - h**4*t**2 + 6*h**4 + h**2*t**2 + 59*t**2 wrt h?\nAnswer: 480*h**2*t - 24*h*t**2 + 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3851961*4\nAnswer: 5.5407844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 20274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-9)\/(-198)*(-2)\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12506631*q**4 + 27310696 wrt q.\nAnswer: 50026524*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -21\/5, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 3?\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7376908.\nAnswer: 2, 7, 11, 43, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 393 - 95. Let u = z - -208. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z - 37*z + 46*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5)*h**(1\/4))\/(h\/h**(2\/3))**(2\/101) assuming h is positive.\nAnswer: h**(-4553\/1212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -819230.519 and -19.\nAnswer: -819249.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 21 = 4*c + 4*r, -12 = -3*c - r. Suppose -1 = c*t + 2. Let v = 5.2 - 0.2. Put t, -3\/17, v in decreasing order.\nAnswer: v, -3\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 6*o**3 - 11 as q*o**3 + n*o**2 + p + u*o and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooooooooobooo. What is prob of sequence bo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5776 by -38.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-1)\/(-5) - (-35)\/(980\/16)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 27. Let u(a) = 3*a - 5 + a**3 + 0 - 2*a**p - 2*a**2 + 2. Is 4 a factor of u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11584.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8328 - -8326.0902. Round n to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s = -4, 3*w + 5*s - 1067 = 0. What are the prime factors of w?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (2\/2 + -2). Let j be (-8)\/20 + (-4)\/(-10). What is the units digit of j - (u*2 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(4 - 1 + 8*v - 1).\nAnswer: -8*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 0*y)*(-105 + 31*y**2 + 105) + (-4 + 2*y**2 + 4)*(0*y + 0*y + 2*y).\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101851040500 rounded to the nearest one million?\nAnswer: -101851000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - 8*t - 4. Let l be x(-5). Let k = -8 + l. Suppose p = -3*u + 17, 6 = 2*p + k*u - 43. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 359 + 89 = 120*n. Sort -6, 3, 162, n in descending order.\nAnswer: 162, 3, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -522, -1046, -1570, -2094?\n\"Answer: -524*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 10*b + 2*b**2 + 10*b)*(-2*b**2 + 3*b**2 - 3*b**2).\nAnswer: 4*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 6376?\nAnswer: 3\/3188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 bigger than -4939\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1908*k**2 + 1902*k**2 - 5720*k**2 + 1892*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s + 2. Let m be z(-1). Let y be (1 + 1\/(-3))*m\/(-4). Let d = -5 - -23\/5. Which is the closest to d? (a) -5 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**2 - 2677*a + 10575. What is l(264)?\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let x(s) = -6338003*s**2. Give f(x(r)).\nAnswer: 6338003*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 2129764*c + 2129760 = 0 for c.\nAnswer: 1, 532440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 3*d - 1\/3*d**3 - 1\/2*d**2 - 92. Give b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 15. Sort 10, j, 3 in descending order.\nAnswer: 10, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and 103.\nAnswer: -14.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -11985.\nAnswer: -41\/11985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 - 3*u + 3*u + u. Let k be y(-2). Suppose -4*m + 5225 = 5*n, m + k*n = 4*n + 1280. What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879418 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392195925.\nAnswer: 3, 5, 11, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/359136 and -133\/179568.\nAnswer: 359136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/2 + 65899*g\/2 + 32949 = 0?\nAnswer: -65898, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let m(y) = y**2 + y + 12. Suppose -4*w + 2 = 3*j, -8*j + 7*j = -2. Give w*m(x) + 2*s(x).\nAnswer: -x**2 + x - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.2117g in nanograms?\nAnswer: 393211700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56943134419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 868298*n**2 + 87*n + 1070. Let r be z(-10). What is r rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1209 and 234.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 > -383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.99269 - 0.00731. Which is the fourth biggest value? (a) o (b) -4 (c) 15 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570884723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.741 - 0.3\nAnswer: -3.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2 + 0*o**3 - 1\/8*o**2 - o + 1\/48*o**4. Let a(s) be the first derivative of f(s). Find g, given that a(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 - -105200124.6\nAnswer: 105200262.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 301. Suppose -4*m - c = 87. What is the remainder when 3\/2*m*(-8)\/36 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*r - 79*r - 5*t - 17, 14 = -2*r - 4*t. Let f(a) = 53*a**2 + 3*a + 2. Give f(r).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010216862 - 33890?\nAnswer: -33889.989783138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.136 + 185122?\nAnswer: 185129.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -31, 0 in ascending order.\nAnswer: -31, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -312 + 306 - (6 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-2 + 2))*-1. Let g be (1 - (q + -1)) + 3. Suppose -3*p = -2*x - 3010, 0 = g*p + 2*x + 923 - 4913. Round p to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.45 - -1851.9?\nAnswer: 1855.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3524157 (b) -3 (c) 0.4 (d) 3\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/163566 and 77\/216.\nAnswer: 654264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336 a factor of 1015291744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, m: 2, o: 2, v: 2, j: 1}. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 77, 1, 2, -3\/56, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*b = -27, -b - 5 = -3*z + 10. Let y(k) = 5*k**2 - 10 + z*k + 4*k**2 + 3*k**3 - 2*k**3 + 0*k**3. What is the units digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 113 + 118 = 3*q, p + 9*q - 23 - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 31*p - 25. Let q be g(2). Is 40 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800276 - -3\nAnswer: -800273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 807988*n*o**3*y**3 + 22*n*o**2*y**3 - 6*n*y**2 + 2*n*y + o**3*y**2 + 34*o**3*y - 144*y**2 wrt y?\nAnswer: 4847928*n*o**3 + 132*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(512)*2)**2 + 2.\nAnswer: 320*sqrt(2) + 2075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 8. Suppose -16*z - z + 221 = 0. Let c(d) = 5 - 1 - 5 + 6 - z*d. Let s(a) = -3*a + 1. Determine f*c(n) - 18*s(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(19) - (1 + sqrt(19)))*1 + sqrt(19) - 1*sqrt(1539)).\nAnswer: -8*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - 68*l - 15224 - 15290 - 15292 + 45807.\nAnswer: -55*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + q + 3*q + (3 - 2 - 2)*(-q - 3*q + 2*q) + 57265*q + 3 - 57325*q - 22.\nAnswer: -59*q - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/4*(-570)\/12*-2 and -23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1012 divided by -4.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 1\/4, -4, 6, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2466 + 2469. Let j(s) be the second derivative of 0 - 2*s**w + 12*s**2 + 1\/8*s**4 + 8*s. Factor j(f).\nAnswer: 3*(f - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 0 - (-39 + 4 + 25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-1)\/2 - 0). Calculate the remainder when 48 is divided by (-1 - 0)*-25 - (14 + c).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose -6*n + h*n + 97 = 0. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 11, a: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 30.00000073. What is k rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3408 + -3410.383. Let v = p - -0.383. Sort 0.5, -2\/7, v, -2\/17 in increasing order.\nAnswer: v, -2\/7, -2\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcducuumuup. Give prob of picking 1 p and 2 m.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. Let o be (-6)\/(-3) + t + 31. Suppose -2*h + x = -o, -2*x + x + 4 = 0. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -46.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 26969958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(945\/252) + (-38)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 + 23*v**2 + 11*v - 17. Let f be n(8). Solve -f*q - 13 = -27 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 46 = -i. Suppose 2*o + 2*o + 144 = 0. Let l = o - i. Solve -4*v + 5 = 3*y, y + 4*v - l = 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431675 is divided by 2054.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22213043 (base 6) to base 9\nAnswer: 1232030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/5, -0.0196, -3.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5.3, -2\/9, 2, 7, -1\/20 in decreasing order.\nAnswer: 7, 5.3, 2, -1\/20, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 1. What is w(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 407106 - -22?\nAnswer: 407130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l + 60*l + 249*l.\nAnswer: 322*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otto when four letters picked without replacement from ttotottotoottoto?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14) + 20 + 49\/(-70)*55.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022212 - -10233203?\nAnswer: 3210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -819, -1196, -1573, -1950, -2327?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 - -0.46. Let k be 10\/4*(-12)\/15. Which is the second smallest value? (a) k (b) -0.5 (c) o (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -100, -125, -152, -187?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/25)\/(2\/(-695)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8005 is divided by 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-15))\/((-8)\/(-460))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2542 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5922 and -119\/18.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 23*n**2 - 23*n - 18. Calculate the smallest common multiple of 182 and j(-22).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(560\/12))\/(1 - 5\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002982339035 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44197\/18 + -9827\/4. What is the common denominator of -13\/3 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 7*o + 24. Let v be i(-4). Suppose -4*t = -2*t - v. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - 22.4.\nAnswer: -22.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-eight fifths of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 22*f + 42. What is a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:26 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5532*a**3*r**3 + 100*a**3 - 80992*a**2*r**2 + 2*a*r**3 - 381*r**3 wrt r.\nAnswer: -33192*a**3 + 12*a - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:02 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/3 - 1216*t\/3 + 10960 = 0. What is t?\nAnswer: 30, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h**2 + 518*h + 302. Calculate r(-56).\nAnswer: 2654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2299418461\/1552 - 1481584. What is the common denominator of y and -79\/582?\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 5*b**2 - 10*b - 1. Let p be g(5). Factor 2*w**5 + 77*w**3 + 6*w**4 - p*w**3 + w**5.\nAnswer: 3*w**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*g - 4 = -3*g, 5*i - 3*g - 18 = 0. Let f(a) = 8*a**3 - 2*a - 4*a**2 + 5*a - 1 - 11*a**i. What is the remainder when f(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30948.4 rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393671 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31257 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.253887 rounded to 4 dps?\nAnswer: 0.2539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4498124 micrograms to nanograms.\nAnswer: 449.8124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420128 + -211744433\/504. Calculate the common denominator of 51\/8 and h.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from {n: 2, v: 5, i: 7}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -118, -147, -192, -259, -354?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + sqrt(2736)*-2)*-4 + sqrt(2736) + -4 + (sqrt(2736) - (sqrt(2736) + 0 - sqrt(2736))) + 5 + -5)**2.\nAnswer: -5280*sqrt(19) + 274084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(1 + sqrt(17)*-1 - sqrt(17)) + 1*(sqrt(17) + -1 + 0))**2*-2*6.\nAnswer: -30312 + 1512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1380 - -c?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66.2 + 64. Let m = 2.20000332 + y. Round m to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -260, -319, -412, -545, -724, -955?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 3*k = -140. Let u be k\/10 + (2 - (3 - 0)). Factor -u*t**2 + 2\/5*t + 0.\nAnswer: -2*t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q**2 - 2*q + 1. Let h(o) = -o**2 + 14*o + 1. Let d be h(14). Give j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 a, and 1 z when four letters picked without replacement from {q: 4, s: 3, a: 1, z: 1, f: 6, g: 3}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/98 - (-718)\/(-14). Sort -3, l, 0, -2.\nAnswer: l, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2445.3477 to 0 dps.\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*((-2*sqrt(99) - sqrt(99)) + 3 + 2*(1 + sqrt(99))))**2 + -1).\nAnswer: -2160*sqrt(11) + 8926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -20. Let l be -1 - 2*b\/6. Find c, given that l + 2\/3*c**3 + 2\/3*c**2 - c + 1\/3*c**5 - c**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uccmdddndd. Give prob of sequence dmcu.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 242*n**2 + 197*n**2 + 2599*n**2 + 31 in the form b*n**2 + u*n + q and give b.\nAnswer: 2554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9586\/235 - 2\/235. Let l = u - -41. Sort 1, l, -2\/3 in increasing order.\nAnswer: -2\/3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72234882923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a + 2. Let d be (1144\/(-77) + 15)\/(23\/161). Let c(l) = l + 1. Let q be (2\/(-3))\/((-6)\/(-9)). Calculate d*c(b) + q*u(b).\nAnswer: 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086016 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -17*k + 20*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.4 + -4.4. Put y, 0.4, -0.1 in decreasing order.\nAnswer: y, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 261408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1847 - 1213490223.38?\nAnswer: -1213490223.1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16575075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*c = 4*b - 19, -b + 4*c + 14 = 0. Suppose 2*w = 4*n + 12, -b*n + n = -3*w + 13. Sort -1, w, 0.09.\nAnswer: -1, 0.09, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-155)\/(-50) + -3)\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 3. Let v = 2 + y. Suppose -6*p + n = -p - 11, p = -v*n - 3. Solve 3*j - 4 - 2 = 0, w = p*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134962664, 134962668, 134962674, 134962682, 134962692, 134962704?\nAnswer: 134962718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684555 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/(2\/(-10)). Suppose 26 + 258 = k*x. Let y = x - 63. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 402525706286 and -0.0027?\nAnswer: 402525706286.0027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p - 17*p - 22*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18448391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2752 to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -26. What is the remainder when 31 is divided by 6\/2 + (c + -2 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111451685 to the nearest integer?\nAnswer: 10557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40340 - -44516?\nAnswer: 84856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 365085, 1 in increasing order.\nAnswer: 1, 5, 365085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -374*h + 380*h - 1332. What is the least common multiple of h and 48?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7568900, -30275612, -68120112, -121102382, -189222404?\nAnswer: -272480160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:10 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 14. Let z = x - -17. Solve -o - o = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 651 and 28238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1. Let u(v) be the third derivative of v**4\/6 + 5*v**3\/6 + 181*v**2. Determine -3*f(c) + u(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + p**2 - 5*p**2 + (-1 - 1 + 1)*(-3 + 3*p**2 + 3) + (3 - 4 + 2)*(-2*p + 2*p + 2*p**2).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 153*o + 709*o - 21*o.\nAnswer: 841*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 59957476*l**2\/3 + 299574950662528*l + 1198299482876928.\nAnswer: (l + 4)*(l + 29978736)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 161.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 428 - 105. Suppose -4*h = -r - 341. Let q = h - 117. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 6*y - 3. Let h be w(-5). Let l be (42\/h)\/((-2)\/(-80)). Find the common denominator of -85\/6 and l\/(-4) - (4 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6789825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooovvooovov. What is prob of sequence ovv?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - -0.36. Let x = 71497\/2 - 35740. Does x = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210002 (base 4) to base 3.\nAnswer: 10011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*i**4 + i**2 + i - 238 wrt i?\nAnswer: 756*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, q: 4, g: 6, i: 1}. Give prob of sequence qqi.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 65*i**4 + 15*i**4 + 2*i**2 + 17*i**4 + 11*i**4 + 16*i**4 - 5*i**3 to the form z*i**4 + a + q*i**2 + h*i + t*i**3 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-7) + (1 - 1). Let c be (-60)\/(-18) + n\/(-3). Solve -a + 12 = c*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shw when three letters picked without replacement from hwcwcwchspwu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 213 = 0. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11391.\nAnswer: 3, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122 (base 3) to base 2.\nAnswer: 10110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.2 - 24. Which is the fourth biggest value? (a) t (b) 3\/4 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 6*l + 28. Let r(v) = -5*v**2 - 3*v + 9. Let t(u) be the second derivative of -u**4\/4 - u**3\/3 + 5*u**2\/2 - 24*u. Calculate l*t(j) + 4*r(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:07 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/15 - 32*s + 4896\/5 = 0 for s.\nAnswer: 36, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/2)\/(181*(-357)\/(-172312))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*g - 2)*(5*g**2 - 3*g**2 - 3*g**2) + 195*g**2 - 716 - 100*g**2 - 96*g**2 + 2*g**3 as h*g**3 + v*g**2 + y + p*g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 400136 (base 11) to base 3\nAnswer: 1012201220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5271967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.89 + 0.11. Suppose 5 = 3*g + 23. Let m be g*((-17)\/(-9) + -2). Which is the third biggest value? (a) m (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/7)\/g*g\/((g**(-2\/39)\/g)\/g)*(g*g**(1\/9))\/((g*g**(-25))\/g) assuming g is positive.\nAnswer: g**(22363\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 2936 + -2948 - (-2 + 3 - 79).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - (-89 + 8)) + (-48)\/(-8) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10475 - -10576. What is the greatest common factor of 16463 and l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-5))\/(244\/305)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3051 - 442. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232195062 by 6.\nAnswer: 38699177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19 + (-2366)\/(-63))\/((-2)\/(-18)). Is w < 1844\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 13.9. Let k = -13.0063 + h. Let j = k - -0.003. Round j to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2964239\/122 + 24298. Let m = i - 84989\/1098. Let x = m + 13342\/171. Find the common denominator of x and -17\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 2*z**2 + 4*z**2 + 8*z**3 + 0*z**3 - z**3. Calculate the smallest common multiple of a(1) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 3*n - 3*w, -3*n - 3*w + 2 = -817. Let k(r) = -76*r - 3546. Let l be k(-47). Calculate the highest common divisor of n and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Suppose j = 2*q + f*q + 27, -2*q = 2*j - 30. Let b = 9 + j. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3323287 = -5*k - 3*n, -22*n = 2*k - 19*n - 1329304. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 - 114. Solve q = -4*q - j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*a + 51. Let z(p) = 4*p - 17. Calculate the remainder when 34 is divided by z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/4, 290.5, 5, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 8\/133.\nAnswer: -1, 8\/133, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12064 and 23200.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f2d (base 16) in base 5?\nAnswer: 111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 626 and 22.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8273071 or -57911505\/7?\nAnswer: -57911505\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k - 6. Let s(l) = -l**3 - 3*l + 4. What is -5*n(w) - 7*s(w)?\nAnswer: 2*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6 - 2\/8*-62. Suppose -a = -j - 4. Suppose -m = -j + 5. Solve -m - 13 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v - 11*v - 15*v)*(-3 + 3 - 1)*(4 - 4 - 7*v**2) to the form x*v + n + s*v**3 + r*v**2 and give s.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, b: 1, c: 3, k: 1, o: 1}. Give prob of sequence bu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:58 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from taaggttpca?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*r**2 - r**4 + 1 - 3*r + 60*r**2 as l*r + n + x*r**3 + s*r**2 + c*r**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-3*8)\/(-3). Suppose -h*w = -w - 54. Is 18 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14832652.\nAnswer: 2, 41, 149, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - b + 5*b to the form j*b + g and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5108 and 207790886?\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 131, 292, 515, 800?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * 3794\nAnswer: -9105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 67246*s**2 + 1130438880*s - 2261146752.\nAnswer: (s - 2)*(s + 33624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 10*g - 2. Solve -2*i + l = 5*l - g, i - 17 = -4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110111102 - 1?\nAnswer: 110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*c - 34 = 2*c, c = -2*w - 83. Let h be (2\/5)\/((-1)\/w). Solve 4*x + h = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -98*h**3 + 12. Let o(n) = -195*n**3 + 22. Give -11*b(r) + 6*o(r).\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 19. Let z(f) be the first derivative of f**2 + o*f + 1\/2*f**4 + 2 + 0*f**3. What is the second derivative of z(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2936 - -2940. Which is the nearest to 1? (a) -1\/8 (b) 0.4 (c) 3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5994338 or 5994346?\nAnswer: 5994338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*m**2 + 93*m**2 - 170*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5471135 is divided by 1637.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15804 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n**2 + n - 2. What is the remainder when 55 is divided by s(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*w - 288 = 0, 27*w - 30*w + 376 = -5*b. Is -89 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/140*(-4)\/(-6)*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*a**3*n**3 - 125*a*b - b*n**2 + 2*b*n - 4*b + 279*n**3 with respect to a.\nAnswer: 114*a**2*n**3 - 125*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9964603 is divided by 9964582.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 20, -4*p + 4*o = -23 - 9. Let x(t) = 17*t - 18*t + 37*t**3 - 2*t**2 - 35*t**3. List the prime factors of x(p).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12786.\nAnswer: 2, 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z + 18. Let u(m) = -3*m + 44. Let d be u(14). Let y be a(d). Put 10, y, -6 in descending order.\nAnswer: 10, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -9\/7 (c) 0.01 (d) 0 (e) -86.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.044 - -0.246. Let r = f + 0.01. Let v = 0.2 - r. Is v at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*27)\/((-249)\/(-6142)*37).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/9, 0, -981\/10, 2 in decreasing order.\nAnswer: 2, 0, -5\/9, -981\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g**3 + g**2 - 4*g - 6. Let o be n(-6). Round o to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 26 = 17*x - 13*x, -5 = 5*x + 5*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3) - 0\/(-49))\/((-2)\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50960 divided by -91.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 229882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2\/3, 2\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 9*s**3 + 2*s**3 + 0*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 3*p - 8. Let z be x(-6). Solve 2*b = 4*b - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.1*0.3.\nAnswer: 20.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6935.878 nanometers?\nAnswer: 0.000006935878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3893 + 3886. Let h(l) = l + 1. Give h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14213\/153 + (-16)\/(-72). Let j = -93 + z. Which is the second biggest value? (a) j (b) 0.4 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -j, w = 5*j + 4*w. Suppose 0 = 5*a - 2*a - 12, 5*o - 2*a + 8 = j. Suppose 0*v - 5*v + 265 = o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 28 = -8. Let x = i + 9. Let s be 112\/56 + 2 + -4. Which is the second smallest value? (a) 2\/9 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**8))\/d*d**32)\/(d**(-28)\/((d**(-40)*d*d)\/d)) assuming d is positive.\nAnswer: d**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(160)\/(2*sqrt(4)))\/sqrt(8).\nAnswer: sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2942*n + 9857*n + 5604*n)*(-3 + 0 + 2) in the form q + p*n and give p.\nAnswer: -12519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/1)\/(-5*8\/(-60)). Which is the nearest to 2? (a) -3.1 (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -69. Sort 2\/3, 7, v in descending order.\nAnswer: 7, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 152. Let g = -0.2 - -0.1. Is d not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11698, -11869, -12042, -12217?\n\"Answer: -k**2 - 168*k - 11529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43865 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 956473 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-1\/4)))**17\/((w\/w**1)\/w**(2\/5)))\/((w**(-1))**(-2\/69)\/((w\/w**(-6))\/(w\/w**(-2\/9)*w))) assuming w is positive.\nAnswer: w**(3721\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 1160*p + 24790. Give j(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95226969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 6. Let k(a) = -25*a**2 + 58*a + 12. Let v(m) = -29*m**2 + 66*m + 14. Let g(t) = -7*k(t) + 6*v(t). Let q(l) = -l**2 + 15*l. What is s*g(f) + 5*q(f)?\nAnswer: 2*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*t = -10, 0*p - 2*p - t + 5 = 0. Suppose p*q = 2*q. Find the common denominator of 2\/7 and q + (-4)\/((-48)\/(-290)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 894.\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/2 - 2\/(-4). What are the prime factors of (-87)\/(j\/20 - 0)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 6. Let v be t(6). Let a(q) = -q + 37. Let r be a(v). Let y = r - 25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 + 2*k - 4. Let a = 150 - 138. Suppose -121*n = -117*n - a. Determine x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 47809*t**2 - 764751*t + 3010959.\nAnswer: -(t - 47793)*(t - 9)*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-2169)\/90) + 1\/6.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16179 * -31.57.\nAnswer: -510771.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -1614, -3548, -6240, -9684, -13874, -18804, -24468?\nAnswer: -30860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1497346990 and 137.\nAnswer: -1497346853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 181 in 2\/7, 29, 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12))\/((-105)\/(-90)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 509*f**5 + f**3*u - 4*f**2*u - 2*f**2 wrt f?\nAnswer: 30540*f**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 8949, -5 in descending order.\nAnswer: 8949, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 - m**3 + 5 + 16*m**2 - m**2 - 1. Let j be z(15). Suppose 4*g = -3*y + 4, -j*y - 28 = -2*g - g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -32*b - 4. Let o(s) = -32*s - 5. Calculate -3*i(m) + 2*o(m).\nAnswer: 32*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 - z**2. Let v(o) = 6*o**4 - 2*o**2 - 18*o. Let c(y) = -2*t(y) + v(y). What is the second derivative of c(s) wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u - 290 = -30*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -7*v**6\/24 + v**5\/60 + v**4\/12 + v**3\/6 + 5*v**2. Let w = -4 - -3. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5 + 1. Let h = 4 - 4. Let j = -0.3 + h. What is the biggest value in 2, p, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310810057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3344 and 4408?\nAnswer: 96976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let r be n(-2). Suppose a = 3*k + 9, -426*a + 3 = -425*a - k. Solve a*b - 20 = 4*b, -2*b - r = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:29 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8820 and 548415.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*p = 4*g - 1, 3*p - 24 = 3*g. Let i = 7 + g. Let y = -2 + i. Solve -4*u - 22 = 2*s, 2*s - 2*u = -y*s - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206201\/7 + -29457. Factor 6\/7*m**3 + 6\/7*m**4 + i*m**2 + 0 + 2\/7*m**5 + 0*m.\nAnswer: 2*m**2*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:38 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89147.3g in milligrams?\nAnswer: 89147300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 6. Let k(l) = -4*l + 6. Give -4*k(q) + 5*r(q).\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000112303 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 3*y + 2. Suppose z - 2*a = 54, 0 = -5*z + 2*z - a + 197. Suppose 0*v + 4*v = z. Calculate the remainder when u(-4) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 3765 = -19*p. Suppose -4*o + 779 = -4*u - p, 399 = o - 5*u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 (base 12) in base 3?\nAnswer: 2220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z. Suppose -3 = 3*c + v - 11, 4*c = -4*v + 24. Let s(l) = 12*l**3 - 16*l. What is c*s(r) + 16*d(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**3 + b**2 - b - 3. Suppose -3*u - 26 = -5*m, -3*u - 83 + 21 = -14*m. Calculate j(u).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 3*i**3 + 0*i**3 + (-2*i + 3*i**3 + 2*i)*(-3 + 0 + 5) + (-4*i - 6*i - 3*i)*(-1 - 2*i**2 + 1).\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -198*m. Let v(l) = -l**2 - 888*l + 888*l. What is s(v(n))?\nAnswer: 198*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2 + 2)*(-2*f + 0*f + 0*f) - 4*f**2 + 2*f**2 + 3*f**2 - 4*f**2 + 0*f**2 + 2*f**2 - 3*f**2 + 2*f - 2*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*h**2 - 105 + 63 - 101 to w + j*h**2 + p*h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/10143 and 13\/9372132?\nAnswer: 9372132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*w**3 + 44*i**3 - 5*i**2*w + 5*w**3 - 4*w wrt w?\nAnswer: 6*i**3*w + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 273\/9 + (-6)\/(-9). Let t = d + -28. Let c(j) = -j**3 + 2*j**2 + 3*j - 3. Determine c(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -538 (base 14) to base 2\nAnswer: -10000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*c - 0 + 7, -5*c = -3*j - 1. Suppose j*n - 12 = n. What is the third derivative of 10*i**n + 3*i**2 + 3*i**6 - 8*i**2 wrt i?\nAnswer: 1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88130531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g = -220 + 52 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from ulbl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3816*l**3 + 6*l**2 - 3058*l. Let g(z) = 6*z**3 - z**2 - z. Let w(b) = 6*g(b) + v(b). What is the second derivative of w(f) wrt f?\nAnswer: -22680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1204? (a) -0.17 (b) 0.24 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307158306 divided by 13721.\nAnswer: 22386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:35 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18916658*p**2 - 28311438*p wrt p?\nAnswer: 37833316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3 + 87653*y**2 + 175299*y - 262953 = 0.\nAnswer: -87651, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181270619 to the nearest integer?\nAnswer: 13464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -1\/120*t**6 + 1\/6*t**3 + 0*t**4 - 6*t**2 + 0*t**5 + 0 + 0*t. Find the first derivative of c(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20735*u**3*z**3 + 27*u**3 + 23*u**2*z**2 + u**2*z - 91*u*z**4 - 65*u wrt z.\nAnswer: 124410*u**3 - 2184*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*m + 26 = 0, 0 = 3*y - m - 8 - 2. Let f(o) = -27*o**2 + 3*o - 2*o + 28*o**2 + 3*o - 5*o. Let r be f(y). Solve -r - 6 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00985188 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1662824758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m**4*v**3 + 2*m**4*v - m**3*v - 2*m**2*v**2 + 2*v**3 - 14 wrt m.\nAnswer: 264*m*v**3 + 48*m*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.5 - -28. Which is the nearest to -0.2? (a) y (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 22539258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5520*o**4 - 3107*o - 1.\nAnswer: -66240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*j - 1 + 10 - 8 + 3 + 3.\nAnswer: -104*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*v**3 + 5706541*v**2 - 825929956*v wrt v.\nAnswer: -162*v + 11413082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 256. Let o be u(-21). Factor -89*i**2 - 92*i**2 + 35*i - 64 - 11*i + o*i**2.\nAnswer: 4*(i - 2)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) 0.08 (b) 3 (c) 1 (d) 2493 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 8*n**3 - 11*n**3 + (-4*n - 15*n + 2*n)*(-2*n**2 + 0*n**2 + 0*n**2).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 155*j**4\/24 - 61*j**3\/3 + 324*j**2. Find the first derivative of g(r) wrt r.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -74*d**2 + 26*d - 7. Let m(f) = 75*f**2 - 26*f + 6. Let t(w) = 6*m(w) + 5*v(w). Find the second derivative of t(g) wrt g.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0*k*k**(-6\/7)*k)**(-2\/9))**25 assuming k is positive.\nAnswer: k**(-250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7516 is divided by 3152.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*i**3 - i + 0*i + 18*i**3 + 12*i**3 + 17*i**3 - 114*i**3.\nAnswer: -18*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/9, -7\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 6. Let p(s) = -77*s - 1. Calculate p(d(i)).\nAnswer: -462*i - 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 112*k**3 - 2*k**2 + 4. Let n(s) = 113*s**3 - 3*s**2 + 5. Let j(v) = -4*n(v) + 5*o(v). Find the third derivative of j(x) wrt x.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7877*x**3 - 440*x**2 - 15*x + 318457825?\nAnswer: 23631*x**2 - 880*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -2027956?\nAnswer: -2027952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 + 3*j**2 - j. Calculate the lowest common multiple of 470 and z(1).\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/9, 0, 12, -1\/4, 240, 5 in ascending order.\nAnswer: -1\/4, -1\/9, 0, 1, 5, 12, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, 2*g - 1260 = 5*v - 0*g. What is the tens digit of (v\/10)\/((-12)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) 4 (b) -1\/11 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2385202 and 3379.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) 3.4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*4\/20*-5*(-7)\/(-1470)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*b - b + 58, -5*b = 5*w - 90. Let h(t) = -2*t**2 + 39*t + 26. What is the tens digit of h(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:17 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 4*m**3 - m**3 + 1 - m**3 - 1 + (-5 - 2*m + 5)*(-2*m**2 - 2 + 2) + (-5*m + m + m)*(0*m**2 + 0*m**2 - 2*m**2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:05 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14604585*k*n**3*r*w + 312120*k*n*r*w - 2*n**3*w - 2*n**2*w - 2*n*r*w - 19*n*w wrt n?\nAnswer: 87627510*k*r*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40238764 to the nearest integer?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64\/3523 + -281273\/613002. Let s = 2\/87 - g. Let y(i) = -i + 6. Let f be y(5). What is the closest to s in f, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ececccccceee?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (13 + 1 - (-1404)\/(-81)) - 75\/(-126)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2. Let i be 9 + 2 + (-12)\/6. Let m(g) = 2*g. Let y(v) = -5*v. Let b(w) = i*m(w) + 4*y(w). Give b(o(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqoppdoptqpd. What is prob of sequence oqpt?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 23127121?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 11. Suppose 2*a = 4*u, -4 = -2*a + 3*u - d. Suppose q - a*q = 2*n - 139, 5*n = -2*q + 43. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 - 235. Let y = -106.87 - b. What is the closest to -2\/3 in y, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 0.27.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by 4.\nAnswer: -231\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*m**5 + (-7 + 4 + 9)*(-m**5 - m**4 + m**4) + (3*m**2 - m**2 + 0*m**2)*(3*m**3 - 2*m**2 + 2*m**2).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/4, -25, 1\/2, 1, -2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 3*i**2 + 3*i**2 + (-2*i + i - 3*i)*(48 + 23*i - 48) - i**2 + 3*i - 3*i.\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340 - -343. Is 412*3 - i - 8\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3023091628 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22650 + -22645. Solve 5*h = l*g + 25, 2*g + 32*h = 33*h - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 10, d: 2, i: 2, o: 1, q: 2}. What is prob of picking 1 q and 1 o?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 3 + 1 + 213.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 6:51 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26959079947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 602 + -65. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.1 (c) 2\/73 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 552\/(-30) + 16 - (-2)\/5. Put l, -51, 0, -1, 7 in increasing order.\nAnswer: -51, l, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0. Let d = -5 + 4.6. What is the closest to 0 in n, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1201559 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 at least 601\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28)\/sqrt(4) - (1 + sqrt(1008)))**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/4 - 4*k**3\/3 + 93*k + 1. Let s(p) = 4*p**2 + 9*p. Give 6*f(r) + 5*s(r).\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a factor of 10615975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12987*g**3 + 2214*g - 6?\nAnswer: -77922*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*w - 0*w. Let d(z) = z**3 - 18*z**2 - 7*z - 619. Calculate the remainder when d(20) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646992 is divided by 5933?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5737353 to the power of 1\/2, to the nearest integer?\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p - 48668 = -49944 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)*b)**(-1\/4) assuming b is positive.\nAnswer: b**(-7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.4478 centimeters in nanometers?\nAnswer: 6684478000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -21, -11 in descending order.\nAnswer: 4, -2, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46435 (base 7) to base 8.\nAnswer: 27154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2185713 is divided by 136606.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 + 3*x - 7. Calculate the lowest common multiple of d(-5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 2*c)*(-2 - 1 + 1)*(-2*c + 2*c + c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 214641, 429367, 644259, 859401, 1074877, 1290771?\n\"Answer: 14*n**3 - n**2 + 214631*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*80\/1104*-3 + -96?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(132)*-2)\/sqrt(12).\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12100, 12105, 12114, 12127?\n\"Answer: 2*p**2 - p + 12099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1410, 1407, 1404, 1401, 1398?\nAnswer: 1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -400810*v + 801622*v - 5846*v**2 - 400812*v to the form m*v + r + f*v**2 and give f.\nAnswer: -5846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 15)*(-4)\/6. Suppose 0 = 3*o + f - 95. Suppose -8*z + 24 = -5*z. Calculate the remainder when o is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 73*h**7\/6 + h**4\/8 - 479*h**3\/6 - 5*h**2 - 65. Find the second derivative of c(d) wrt d.\nAnswer: 30660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/61? (a) -2 (b) 4\/1423 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 170. What is the fourth smallest value in -0.01, n, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100630162 (base 7) to base 8\nAnswer: -26316453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*i - 5*x - 20, -3*i - 16 = 4*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + (-234)\/(-90). Suppose 2*y = -3*y. Solve 5*h - 28 = -4*z, h = -y*h - f*z + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 633798*w.\nAnswer: w*(w - 1901394)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1189 - -1191. Let z(f) = -f**2 + 6*f - 6. Let x be z(5). Which is the nearest to x? (a) n (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2394 - -2400. Solve -31*k = -29*k - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 0) + 0 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 + 19*r**4\/4 + 115*r**3\/4 + 241*r**2\/4 + 52*r + 16.\nAnswer: (r + 1)**3*(r + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 0, s - 24 - 54 = 3*j. Let g = -12 - j. Suppose -4*r + 11 = -g. What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5, -2\/15, 0.44, 1\/2 in increasing order.\nAnswer: -2\/15, -0.01, 0.44, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {b: 4, r: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejqjjqjejjmgmejgjem. What is prob of sequence em?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c**2 + 11*c + 12. Let n(h) = h - 1. Let t(p) = b(p) - 5*n(p). Let z(i) be the first derivative of t(i). Is z(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 13*t - 13. Let q be j(-9). List the prime factors of q - (-5)\/(5\/3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*d**2 + 123*d**2 - 37*d**2 + 86*d**2)*(-3*d + 5*d - d).\nAnswer: 138*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*q**3*s**3*x + 2*q**3*s**2*x - 2*q**3*x + q**2*s**3 - 2*q**2*s*x + 5*q**2 - 106*s**3 wrt q.\nAnswer: -270*s**3*x + 12*s**2*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*x + 20, -x = 3*x. Suppose -j*t + 4 = 16, -4*o - 5*t = 31. Let a(q) = q**3 + 3*q**2 - 4*q - 3. Determine a(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 8392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t**(-4\/7))\/(t**(-11)*t**(-12)\/t) assuming t is positive.\nAnswer: t**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 5*j**2 - j**2)*(0 + 5*j + 0)*(-j + 4 - 4) in the form a*j**4 + d + w*j**2 + s*j + n*j**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422 - -26?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 4*y**3\/3 - 8*y**2 - 20*y - 7. Factor w(b).\nAnswer: 4*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzzzyyzyyy. Give prob of picking 2 z and 1 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 4 = -10*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 494618 and 36601732?\nAnswer: 36601732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((37\/(-148))\/(21\/36))\/(4\/14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sejlvqsl. Give prob of sequence sq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 4 - ((-7 - -15) + -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -72\/47?\nAnswer: -72\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.087 + 5.087. Let f = -23 + 15. Let i be 12\/f*(-1)\/(-3). Which is the third biggest value? (a) i (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuxou. What is prob of sequence oux?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 195202125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 1, t: 2}. Give prob of sequence ni.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23244663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 194 = -5*b, -4*l = -6*b - 686 - 76. What is the lowest common multiple of l and 48?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 38) + 30 - (14 + 91).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*i + 624 = 5*i. Let x(u) be the second derivative of -u**3 - 2*u. Determine x(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 5, i: 4, p: 4, r: 5}. What is prob of sequence pc?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 1. Let z be g(3). Let c be (-12 - -10) + z\/6. Put 0.4, -5, c in ascending order.\nAnswer: -5, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1550 = -5*m + 36*m. Suppose -2*o + b + 1 = -9, -5*b + 34 = 4*o. What is the remainder when m is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17281731391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5320 and 1400?\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (-91)\/(-14))*0. Are -6\/41 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596076.\nAnswer: 2, 3, 13, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 + 3.8. What is the third smallest value in b, -1, 7\/4, 2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:13 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -23d95?\nAnswer: -23d92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/3 - 9*n**2\/2 + 6*n. Let u(g) = g**2 - 6*g + 6. Let s be u(6). What are the prime factors of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16252 and 202?\nAnswer: 1641452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 302828 + 47201. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x**3 - x**2 + x - 2. Let d be h(1). Calculate the common denominator of 63\/26 and d\/81 + (-656)\/198 - -4.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 311639.8 litres?\nAnswer: 311639800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-12)*-15 + (2 - 4). Which is the third smallest value? (a) 4 (b) o (c) -1 (d) 2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12588?\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - w + 39, 5*q + 3*w - w + 111 = 0. Let o = q - -31. Solve 0*a - 3*a = -i + o, -4*i = 2*a - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 1054*b + 1056.\nAnswer: -2*(b - 1)*(b + 528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = -5. Suppose 3*a = s*b - 0*a + 276, 273 = -3*b + 4*a. Let p = 142 + b. Calculate the remainder when p is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/7 + 4*g**4\/7 - 12*g**3\/7 - 8*g**2\/7 + 26*g\/7 - 12\/7 = 0 for g.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 5352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*f = -70*f + 1532 - 4718 - 20926 for f.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m - 2. Let x(l) be the third derivative of -l**4\/24 - 3*l**2. What is x(z(r))?\nAnswer: 13*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 10*u - 13*u - 1017, -2*z + 4*u + 678 = 0. Which is smaller: 340 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454122 (base 6) to base 14.\nAnswer: 1005c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let f(c) = c - 1. Let l(y) = -29*y + 5. Let s(j) = 5*f(j) + l(j). Calculate s(w(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 218, 5, -5, -6, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 51596*a**2 - 2274696*a - 15505200.\nAnswer: 2*(a - 50)*(a + 6)*(a + 25842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -i - i. Let n be (i\/(-15))\/(1\/(-5)). What is the derivative of -6*b**2 - n + 60 - 6*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -2 + 56)*-4. Let y = -166 - d. Let z = y + -48. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 66 (b) 4 (c) 56 (d) -18 (e) 0 (f) 0.07 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -841*l**3\/4 + 348*l**2 + 555*l\/4 + 25\/2.\nAnswer: -(l - 2)*(29*l + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 6*s**2 + 7*s**2)*(0*s + 4*s - 6*s).\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + b**2 + 1 + b**3 + 2*b**2 - 2*b**2. Suppose 0 = 3*c + 3, -2*d - 4*c - 13 = d. Calculate v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*1*sqrt(7) + 3 + (sqrt(700) + 1)*3 + sqrt(700))**2.\nAnswer: 78*sqrt(7) + 10648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 702, 707, 740, 801?\n\"Answer: 14*h**2 - 37*h + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 2)*(-3*w + 6*w + 2*w) + (-2*w + w - w)*(0 + 2 - 3).\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*y + 2*y. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**6 + 272455*w**5 + 59160038*w**2 + 2*w wrt w.\nAnswer: -120*w**3 + 16347300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0835 * 1410.1\nAnswer: 117.74335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 6*p - 27*p. Suppose p*d = 18*d - 195. Suppose -4*y + 28 = -4*w, -2*w = -3*y - 7*w + 5. Solve y - d = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4 - 4*r**3 - 3*r**2 + 11 + 5*r**3 - 6*r - 4*r**3. Suppose -2*f + f = 6. Is s(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34612585 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Let k = 2\/47 - -41\/141. Let u = k - -1. What is the smallest value in 1.3, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.076\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + g**2 + g**2 + (2*g**2 + 4 - 4)*(-5 + 0 + 1))*(2*g**3 - 3*g**3 + 0*g**3).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z - 4. Let w be n(2). Suppose 3*l = -3*h + 111, -h - 4*h + 135 = -5*l. Let c = h - 20. What is the highest common divisor of w and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:59 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80, -188, -296?\n\"Answer: -108*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*d = 3*f - 3, 5*f = d + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**3 + x**2\/2 - 18*x + 2. Let j(h) = 7*h**2 + 2*h - 37. Let v(c) = 9*f(c) - 4*j(c). Let y = 2 + -2. Determine v(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/(-14) - -12)*(-2)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**7\/14 + 2*c**6\/5 - 9*c**5\/10 + c**4 - c**3\/2 - c. Solve w(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.21 times 0.14?\nAnswer: 3.3894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -653*d - 4872. Let p be b(-8). Let s = -23 - -34. What is the greatest common divisor of p and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let s be b(-3). Suppose -41 = -5*m - s. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8861 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**4 - 13*b**3 + 2*b**2 + 2. Let o(r) = -60*r**4 - 155*r**3 + 25*r**2 + 25. Let c(x) = -2*o(x) + 25*y(x). Factor c(f).\nAnswer: -5*f**3*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/42 - 243\/(-7). Let j = -33 + c. Solve 10 = -4*n + j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331776 and 1242.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.3355 in 0.2, 3, 0.1, -7, 0.3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 10*p**3\/3 - p**2\/2 - 31*p. Calculate a(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 2*c**2 + 3*c + c**3 - 1 - 4*c**3 - 2*c**3. Let d be u(-3). Calculate the greatest common factor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2746*j - 2 = -2747*j. Let g(i) = -8*i + 17. What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484431 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 - 85*o**2 - 64*o**2 - 50*o**2 + 74*o**2.\nAnswer: -133*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6046 (base 7) in base 3?\nAnswer: -2212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5157 is divided by 2402?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2126 from 5.\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 + -1.51. Let l = c + 1.3. What is the nearest to 0.1 in 1\/2, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 8, -4*v = -5*y - 20 - 16. Suppose -10 = 2*g + v. Is g greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126187 (base 9) to base 4.\nAnswer: 102232201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37888, -37801, -37714, -37627?\n\"Answer: 87*w - 37975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2672295 divided by -890765.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82 times 0.0255?\nAnswer: -0.02091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219055163 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 c, and 1 r when four letters picked without replacement from {r: 2, c: 3, y: 2, u: 4, j: 2}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, i: 2, f: 1, o: 3, n: 3, m: 6}. Give prob of picking 1 n, 2 i, and 1 l.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1199 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:25 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w. Suppose w = -3*n + 4*h - 4, -3*h + 0 = 5*n - 3. Let c be (-9)\/(-21)*8\/(-3). Are c and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3255181217 to the power of 1\/2, to the nearest integer?\nAnswer: 57054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2185*f - 4378. Calculate x(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 254994727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbxt when four letters picked without replacement from {t: 2, b: 9, x: 5}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 24.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176 a factor of 1388135727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -2660?\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5303, -10607, -15911?\nAnswer: -21215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 18 + 22. Let x be ((-16)\/14)\/h - (-300)\/21. Solve -2*d = -d - t - 2, t - x = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueccycuuucuucccucecc. Give prob of sequence euc.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2 - 1)*16. Let d = m + -2. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Find the second derivative of -3*y**4 + 5*y + z*y**4 - y**4 + 2*y**4 wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -813 + 4843\/6. Find the common denominator of s and -5\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 19 + 6 = -k, -k + 4*z - 17 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 (base 9) in base 7?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31\/4 in -5, -11, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/282*(-9)\/12*-54.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*r + 2*k, 5*r + 30 = 4*k - 4. Let l(b) = -16*b**3 - 10*b**2 + 4*b + 10. Let m(c) = -5*c**3 - 3*c**2 + c + 3. Calculate r*m(q) + 3*l(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 94 = 3*k, 2*k - 88 - 3 = -5*t. Solve -5*c = 25, -k = -2*u + 4*c + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3)*-1)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30279943 divided by 1\nAnswer: 30279943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 h when three letters picked without replacement from mnqfnimmfnhi?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 43. Let v(o) = -44. Let j(h) = 5*a(h) + 4*v(h). Let w be j(-8). Let z be w*9\/12 - 92\/(-16). Solve 0 = z*s - 20, 5*u + 0*s + 6 = -s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -32*u + 7. Let z = -29 - -23. Let d be t(z). Let q = d + -101. Calculate the remainder when q is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110000101000110011 + 100?\nAnswer: 11111110000101000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8.2*-385814\nAnswer: 3163674.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82177*j - 82335*j - 1 + 1 + 0.\nAnswer: -158*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/11 + 2251556*u**4\/11 + 29270486*u**3\/11 + 90063208*u**2\/11 + 81056952*u\/11 = 0.\nAnswer: -9, -2, 0, 1125791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.016, -6.8537, 0 in descending order.\nAnswer: 0.016, 0, -5, -6.8537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*c - 7*z + 2, 5*c - z + 7 = 0. Let u(m) be the first derivative of m - 1\/3*m**3 + 0*m**2 + 2 - 5\/4*m**4. Give u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27549 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgs when four letters picked without replacement from ssssssssssgsgssgss?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211382.927 - 11.\nAnswer: 211371.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6659 is divided by 318.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2743 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186.66 - -194.679. Let p = 0.859 - t. Round p to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3) + (-5 - -3). Let a(s) = -s**2 - 2*s + 20. Let v be a(-7). Let o be -4 - -1 - (12\/v + -3). Sort o, m, -2\/15.\nAnswer: m, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.8*-7.7.\nAnswer: -144.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75808.\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*i - 2053 + 2063, i + 3*i + 20 = -l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100010011 (base 2) to base 5\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -290918 or -290839?\nAnswer: -290839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 + 3*x**2 - 1\/20*x**5 - 1\/24*x**4 + 1\/3*x**3 + 1\/15*x**6 + 0*x. Calculate the remainder when o(2) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/84 and 49\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 122?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7.97. Let t = -30.28 + 30.9. Let u = t + -0.32. Sort u, -5\/4, i in decreasing order.\nAnswer: u, i, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 7*p**5 + p**5 + 0 + (4 - 6 + 0)*(-5*p + 5*p - p**3)*(-6*p**2 + 3*p**2 + 0*p**2).\nAnswer: -12*p**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 359 + -239. Suppose -75 = -2*v - 5*s, -2*v + d = -0*v - 4*s. Suppose 0 = 5*r - 10*r + v. Solve 5*h - 4*q = 24, -2*h + 2*q + 0 + r = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 298, 91, -270, -833, -1646, -2757, -4214?\nAnswer: -6065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/133 - -2153\/665. Let o be -8*(-7 + (-135)\/(-20)). Is b less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.9 (b) 1\/52 (c) -6\/11 (d) 0.2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 40. Let y be 85\/(-442)*(-8)\/10. What is the fourth smallest value in 0, y, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*f - 168 = 0, 4 = 2*f - 3*f. Suppose d = -3*l + 4*l. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58289 divided by 58289.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 18 - 66. What is the lowest common multiple of j and 17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*s - 2. Let u(k) be the third derivative of 2*k**2 + 0*k + 1\/21*k**3 + 1\/210*k**s + 1\/42*k**4 + 0. Let u(x) = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 1 - 1)*(i - i - i**2) - 3*i**3 - 4*i**3 + 4*i**3 - 614*i + 109*i**3 + 614*i.\nAnswer: 105*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 3*v + 73. Suppose -v = 5*h - 7*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + 63 - (5 + -42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Suppose 3*h = -y*h - 2*i, -2*i = -5*h. Differentiate r**4 - 1 - 2*r**4 + h with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 824.83.\nAnswer: -41.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -12677?\nAnswer: 12672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y = 26*y + 7370. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(5\/2))\/(c\/(c\/(c\/(c**(-4)*c)*c))))\/(c**(-5)*c\/(c\/c**(2\/5))))\/((c*c**(2\/3))**33\/((c*c**(2\/3)*c)\/(c\/(c**6\/c)))) assuming c is positive.\nAnswer: c**(-1357\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/115)\/(1\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11130 divided by 30\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18437907 and 11512?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-182)\/(-104))\/((-5)\/(-20)). Suppose -4*v + 5*f - 5 = -47, 3*f = -v + 2. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdyykkykyyk. What is prob of picking 1 k and 1 y?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1444 and 38.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*n - 11 = -2*x, 2*x + n = -9. Let i be x\/(-8)*4\/2. Suppose -5 = 5*v - 0*v. Which is the second biggest value? (a) v (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Let u(a) = 2*a + a - 5*a - 4. Let z be 25\/(-23) + -3 + 994\/322. Let j(l) = z*u(l) + 2*y(l). Calculate j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 2. Let s(w) = w. Suppose -10*d = -5*d + n - 420, 0 = 3*d + 4*n - 252. Let r be (d\/(-56))\/(3\/(-14)) - 3. Determine r*s(m) - l(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 5 + ((-304)\/10)\/(1944\/900)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 2*y**2 + y. Let t be k(-1). Suppose 10 = 5*h + t*i, 2*h + h - 3*i - 6 = 0. Solve 0 = -2*d - h - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 - 7080*x**4 + 12503252*x**3 + 100337744*x**2 + 251085312*x + 200958976 = 0 for x.\nAnswer: -4, -2, 3544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11010111011?\nAnswer: 11010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + -1 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.4, -0.18, 47\/2, -3?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let m be b*(-2 + 19\/2). Solve -m = 7*v - 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1935*s + 6157 = -4003*s + 1937*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.07 - -0.07. Let q = 0.07 + 0.43. Let z = -0.7 + q. Which is the nearest to z? (a) 0.3 (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/14 - 12\/(-42). Let h = 12 + -7. Calculate the remainder when h is divided by 8\/(-12) + (-8)\/g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 25*r**3 - 17*r + 8. Let w(v) = -3*v**3 + 2*v - 1. Calculate 6*n(h) + 51*w(h).\nAnswer: -3*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 353\/2. Let l(p) be the first derivative of y*p**2 - 12 - p. Give l(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + n**2 - 3*n. Let b be t(0). Factor -2\/3*o**5 - 2*o**4 + b*o + 0 - 2*o**3 - 2\/3*o**2.\nAnswer: -2*o**2*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2714 = -4*b - 694. Factor 2*k**3 - 513*k - 4*k**3 - 10*k**2 + b*k.\nAnswer: -2*k*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:04 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 5. Let s(u) = u**3 - 5*u**2 - 5*u - 4. Let y be s(6). Suppose 3 = y*f - 3. Give z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p + 1. Let r be n(-3). Let s(h) be the second derivative of -h + 0*h**3 + 0 - 1\/12*h**r + 3\/2*h**2. Find the first derivative of s(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 8*r + 5. Let x be j(7). Let g be (2 - (3 + x)) + 195. Suppose -4*q + 6*q = g. Calculate the remainder when q is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - (-22)\/(-4). Let u = w + 11. Solve -4*z = 10 + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-486)\/(-36))\/(6\/8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 493674 + 20663 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:36 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/7396 and 89\/1548?\nAnswer: 66564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4) + 3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v**3 + 122*v**2 + 123*v - 1. Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -3, 6, -6.8, -0.2, -1, -4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 4*m**3\/3 + 5*m**2\/2 + 21*m. Suppose -2*a - 1 - 9 = 0. Let i(d) = -7*d - 4. Give a*i(o) - 4*v(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2394 - -3779. Suppose -u = -x + 122. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -631604 and 12075.\nAnswer: -619529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9935*m**2 - 3*m - 3666.\nAnswer: 19870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 28. Let d be (-1)\/(-4) - (-35)\/o. Suppose -3*u + 9 = d*f - 2, -2*f + 3 = -5*u. Put 2, f, -1 in ascending order.\nAnswer: -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146.1 - 146. Which is the closest to 7\/4? (a) l (b) -1 (c) 5\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 5\/2 (c) -436.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 32*s**2. Let l(v) be the first derivative of v**3 + 23. Calculate r(l(j)).\nAnswer: 288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = 5*c + 16, -4*y + 13 = -c. Let b(f) = 4*f**2 + 60*f - 214. Let s be b(-18). What is the closest to 1\/4 in s, 1\/9, c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*i = 1694 + 2128 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2809*c + 2817*c + 128 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10318 - -10346. Calculate the remainder when 894 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1)\/(1648\/(-328) + 5). Let w = j - 39. Solve 5*l + 18 = -2, f + w*l + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:53 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3444)\/2296*32\/(-6)*2*3\/(-72)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 - -13. Suppose -k = -s + 25. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 4:02 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10870689871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -50. Let u(n) = 11*n**2 + 4*n + 4. Let m be u(-3). Suppose -287 = -4*g - m. What is the remainder when g is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3 + 243*q**2\/2 + 944. Factor p(r).\nAnswer: 3*r*(r + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12918 and 12920 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 6*f**2 + 6*f - 3. Let v be i(5). Let k be 13*-1*2\/v. Let w = -5 - k. Calculate the remainder when 22 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/4)*o**8)\/((o*o**17)\/o)**(-25\/2) assuming o is positive.\nAnswer: o**(887\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - w = -4*w + 32, 4*w = 2*c - 34. Let n = 25 - c. Solve 3*l - n = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/10 - 62\/(-155). Let g(j) = -j**3 + 5*j**2 - 7*j + 16. Let k be g(f). Solve 2*r = -2, 3*r - k*r + 19 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q*(q**3*q)\/q)))**(-2\/69) assuming q is positive.\nAnswer: q**(-10\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -10*s + 120. Suppose -5*i = -5 - s. Let c be 9*(-1 + -1 + 4). Sort c, -4, i in descending order.\nAnswer: c, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/180 and -107\/347180.\nAnswer: 3124620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 4)\/(7 + -6). Let o be t - (0 + -1 + -4). Let z = 2\/5939 + 59376\/41573. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Suppose 0 = -m*h - g - 5, -4*h + 9 - 27 = -2*g. Let l be -3 + -1 + h\/(-1). Do -3\/2 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1208, -9522, -32092, -76046, -148512, -256618, -407492?\nAnswer: -608262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + u + 7981. Is z(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65532*0.2.\nAnswer: 13106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*d - 88*d + 59*d - 29*d - 7*d + d + 2*d - d + 4*d - 6*d + d - 5*d + d + 2*d + (0 - 4 + 5)*(2*d - d - 2*d) + d - 2*d + 0*d + 3 + 2*d - 3.\nAnswer: -141*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m. Let d(p) = -4*p**2 + 6. Give k(d(n)).\nAnswer: 28*n**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*v + 27, 5*w - 6*v + 2*v = 54. Let l = w - 7. Suppose -d - 4 + 8 = 0, 2*d = 4*r - 52. Solve -l*o + 0*o = r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 19*j + 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19356, 38700, 58044?\nAnswer: 77388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*r = -4607 - 2910 + 1082 - 409 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100110000 + 10?\nAnswer: -10110100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 + -77 + (111 - 43)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39229 + -39232. Put 8, -1, 55, 0, f in ascending order.\nAnswer: f, -1, 0, 8, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 5) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:58 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*30 - (-82)\/((-5658)\/(-483))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 804?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398*i**2*v**3 - 29*i**2*v**2 - 9*i**2*v wrt v?\nAnswer: -2388*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132\/5 - 3\/5*g**3 - 12*g + 69\/5*g**2.\nAnswer: -3*(g - 22)*(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5))**35)**(-3\/11)*(g**(-8)\/(g*g**8))**2 assuming g is positive.\nAnswer: g**(151\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*d + 518*d + 518*d - 1547*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3052*((-5)\/15 + (-7)\/6). Let m = 0 + 2. Does 11 divide k\/(-42) + 1\/(m\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 16 = -16. Let c(g) = 2*g**2 - 2*g - 5. Let l(i) be the first derivative of 5*i**3\/3 - 5*i**2\/2 - 14*i + 2. Give a*l(k) + 11*c(k).\nAnswer: 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -4401221?\nAnswer: -4401213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2404333342?\nAnswer: 2404333343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1288 less than -23197\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = -15*z + 1506. Is z not equal to 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-16)*-1*(2 + 0). What is the nearest to 0.1 in -4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-32)\/18)\/(-4))\/(-2). Let a = 13.66 - 13.26. What is the third smallest value in c, 1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10167671?\nAnswer: 911, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/25 + -4\/25. Let q be 3 - (1 + 4\/(-2)). What is the second smallest value in -0.4, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, x: 1, v: 12}. Give prob of sequence xvww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 15814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 7, -6*z + z + z - 9 = i - z for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/(-10) + (-12)\/(-20). Let a = 0 - -1. Sort a, c, 3 in ascending order.\nAnswer: c, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + -2)*-4*5 + -5 + 5 + -4)*-1.\nAnswer: -236 + 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)**34\/(m**(-2\/3))**(-1\/9) assuming m is positive.\nAnswer: m**(1834\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.193 * -50\nAnswer: -9.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 1. List the prime factors of l(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 - 178. Solve 0*i - 4*i + h = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - y**2 - 4*y**2)*(3 - 4 - 2) - 724*y - 91*y**2 + 724*y + (4*y + 2*y + 0*y)*(-3*y + 2*y - y) to l*y**2 + i + h*y and give l.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/104 and -36\/1885.\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f\/f**(-1\/3)*f**(2\/5)\/(f\/f**(3\/4)))\/(f**3*f**(-1\/3)*f*f\/f**(-6)*f**(-1\/9)) assuming f is positive.\nAnswer: f**(-733\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212141 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 696, 865, 1050, 1257, 1492?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1142476*g*w + 6551*w - 8 wrt g?\nAnswer: -1142476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11792\/(-132)*28\/560*-15?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 6*y**3 - 26*y**3 + 5 + 0*y.\nAnswer: -20*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/39)\/((-725)\/435)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 707\nAnswer: -353.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h - 48. Let f(x) = -2*x. Calculate f(w(s)).\nAnswer: 24*s + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -900*l**4 - 129*l - 334*l**2 - 39*l - 164*l**3 + 449*l**4 + 453*l**4.\nAnswer: 2*l*(l - 84)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 137, 201, 261, 317, 369, 417?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 10*k**3\/3 - k**2 + 144*k. Let o(f) = -1. Let a(v) = -3*v - 3. Let w(u) = a(u) - 3*o(u). Give c(w(x)).\nAnswer: -60*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 9. Give r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let a(j) = -3*j**2 + 2*j - 2. Let f = -14 + 24. Let d(s) = -f*s + 16*s**2 + 11 + 3*s - 4*s. Let n(y) = 22*a(y) + 4*d(y). Give o(n(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 15, 22, 19, 0, -41, -110?\n\"Answer: -p**3 + 4*p**2 + 6*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -189975, -379947, -569919, -759891?\n\"Answer: -189972*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 1\/24*i**4 + 0*i**3 + 0*i - 1 - 3\/2*i**2. Let q(m) be the second derivative of v(m). Calculate q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qlppq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435277263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2 - (-10)\/4). Suppose -y*t = -2*t + 2. Let g = -897\/8 + 112. What is the second biggest value in 3, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 5741, 19438, 46123, 90128?\nAnswer: 155785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2*j**2*s**2 - 22*h**2*j*s**3 - 2*h*j**2*s**3 - 2*h*j*s**2 - 34*j**2 wrt h?\nAnswer: -6*j**2*s**2 - 44*j*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -545 + 221. Let u be (-5)\/10*-13*r. Let k = u - -4055. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 3. Let f(n) = n + 1. Let q(h) = b(h) + 5*f(h). Let z be q(0). Solve -3*i - 5*y = -6, -z*i - y = -0*y - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 8. Let v be d(-6). Let j(m) = -2 - 1 + 3 - 2*m. Give j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14443?\nAnswer: 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 6*z + 1. Let f be m(6). Suppose -5 - 7 = 4*p. List the prime factors of f\/(p\/(-48))*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in -2\/3, 0, 2\/5, 5, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(2\/21)*r*r*r**(-7)\/r)\/(((r\/r**8)\/r)\/(r*r**(-2\/9))))**(-2\/31) assuming r is positive.\nAnswer: r**(-590\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 - 13*i**3\/3 - 2*i**2 - 14*i - 9. Let a be c(-13). What is the highest common factor of a and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601667 is divided by 198436?\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.5 + -16. Let c = -0.205 + -11.795. Sort p, 4\/3, c in descending order.\nAnswer: 4\/3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (756\/7371)\/(7\/364)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 205 = 81. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33081*f**2 - 8*f + 251766?\nAnswer: 66162*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4636?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -21.3. Let r = 940\/7 + -134. Is s greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and 246?\nAnswer: 9594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -98*y + 2458. Determine c(24).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1108*(-3 - 22\/(-8))*5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*h - 0*m + 183, 127 = 2*h + m. Calculate the remainder when 41 is divided by -14*h\/(-60) + (-2)\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*z + 311*z - 245877899 = 95859777. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914505.\nAnswer: 3, 5, 41, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/5 - 5025808*a**3\/5 + 2*a**2\/5 + 5025808*a\/5 = 0.\nAnswer: -2512904, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((247\/532)\/(1\/(-20)) + (-60)\/(-210))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 445 divided by 19007\nAnswer: 445\/19007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(2\/7)*(s\/(s\/(s**10*s)))\/s*s**(10\/7)\/s*s*s**(-1\/15) assuming s is positive.\nAnswer: s**(1328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 16*p + 6*p + 9*p + 5*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((2990\/20)\/(-23)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o = 128*o - 102. Solve -2*n + 3 = 2*n - o*i, 0 = -5*n + 3*i + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -6*i + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-7) + 24\/(-14) + 2. Solve -p*d = -b - 4, -d + 5 = -5*b + 4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/120*2\/2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2641178 (base 9) in base 3?\nAnswer: -2201101012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*0\/(-7). Suppose -5*o = -h*o - 60. Suppose 5*g = -u + 9, -u - 4*g + o = -2*g. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 561, 1005, 1557, 2253, 3129, 4221, 5565?\n\"Answer: 6*r**3 + 330*r - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:23 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Solve y + 1 - j = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -29. Let y = 22 + b. Suppose 5 = -5*j, -3*j - y - 13 = 3*x. Put x, -1, 4 in decreasing order.\nAnswer: 4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.52 - -20. Let p = n + -0.78. Let c = -0.6 + p. What is the biggest value in c, 3, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/2)*(h\/(h**(3\/5)*h))\/h)\/(h*h**5\/h*h**(-5)))\/((h**(-1\/2))**(-49)*((h*h**4*h*h)\/h)\/(h**(-5)\/h)) assuming h is positive.\nAnswer: h**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**3 - 2848425092940*t + 2848425092940*t.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z. Suppose 0 = -2*u - 2, 0 = -10*n + 11*n + u - 1. Let m(b) = -3*b**2 - 4*b**2 - 3*b**2 + 6*b**n. Determine m(a(t)).\nAnswer: -1024*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357648 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-24.4.\nAnswer: -7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18419, -36880, -55341, -73802?\nAnswer: -92263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 54. Let w = q - 65.9. Sort w, -3\/2, -2 in increasing order.\nAnswer: -2, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 76*k + 86. Let r(l) = -15*l - 17. Let s(f) = 2*a(f) + 11*r(f). What is the derivative of s(j) wrt j?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 380400?\nAnswer: 380400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:29 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ac0 - 2b?\nAnswer: 1a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332989383*a*o + 492413782*a with respect to o.\nAnswer: -332989383*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - 3320051?\nAnswer: -3315544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 12*z - 3. Suppose 0 = 4*r + c - 172, -3*r + 5*r + 2*c - 86 = 0. Let g = 31 - r. Let k be s(g). Which is greater: -17\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20385402 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zfazfrzfbbatazarbaaz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19936\/(-12))\/(-14)*2\/192 and -67\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 44 - 26 = 0. Let r(h) = -10*h + 373. Let t be r(36). Solve t*y + 21 = -k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -0.2 (c) 1\/5 (d) 417388 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3197 divided by -23?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7549*l**4*y**2 + 9*l**4*y + l**2*y**2 - 2*l**2*y - 739*l**2 - l*y**2 wrt l.\nAnswer: -181176*l*y**2 + 216*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*k + 4 = -0, 4*s - 8 = 2*k. Sort s, 0, -5 in increasing order.\nAnswer: -5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -12 (c) 61 (d) -1 (e) -1116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 - 1 = 0. List the prime factors of -2*(-23)\/s - 3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + 2\/4. Let p(j) = -j**2 + j + 18. What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1025506 litres to millilitres.\nAnswer: 102.5506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 24*k + 2. What are the prime factors of q(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -2*x**3\/9 + x**2\/2 + 3*x + 1927. Factor o(s).\nAnswer: -(s - 3)*(2*s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(5 - (-45)\/(-10)). Let u = 0 - -6. What is the third derivative of -8*v**u - v + v + v**a + 0*v wrt v?\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 719964 divided by 126\nAnswer: 5714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 4, -23, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 10.7. Let i = 0.6 - t. What is the closest to i in -0.4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(9\/2))**50*(b**(-9)*b*b**(-4))\/(b**(-5)*b*b*b\/(b\/((b\/(b**(7\/5)\/b))\/b))) assuming b is positive.\nAnswer: b**(953\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 35, 26, -4 in descending order.\nAnswer: 35, 26, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 103. Let k be x(25). Suppose 3 = 3*w + k*m, 3*m - 9 + 0 = -5*w. Suppose -z = 3*z. Sort 1, w, z, 5 in decreasing order.\nAnswer: 5, w, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -80\/3, -170768 in ascending order.\nAnswer: -170768, -80\/3, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 5 - 5)*(389 + 186 + 421) to the form w + j*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3624924 and 16452.\nAnswer: 10874772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0433 - -10.9567. Which is the fourth smallest value? (a) -2 (b) -5 (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1460 - 1452. Suppose 2*v = v + 4. Let s(r) = 3*r**2 + 5*r + 16 - 5 - v*r**2. Give s(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -206*v - 2. Let a(b) = -3762*b - 33. Let g(o) = 3*a(o) - 55*n(o). Give g(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 1 = -13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 758 and 906?\nAnswer: 343374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**4\/12 + 18*n**2. Suppose -7 = 5*c + o - 25, 0 = -4*c - o + 15. Let r be (8 - c) + (-1 - 1). Determine w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 1 - 1)*(0 - 3 + 4)*(-3 + 4 + 0) - 17*q + 113*q - 17*q to g*q + p and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {l: 4, v: 1, i: 2, w: 4, y: 6, j: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 39?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = -5*b - 11, 3 = -b. Let s(h) = 8*h**2 + 8*h - 8. Let m be 140\/16 + (-99)\/132. Let n(d) = d - 1. Calculate a*s(k) + m*n(k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**7\/210 + 7*r**6\/24 + 209*r**5\/30 + 176*r**4\/3 + 240*r**3 - 5*r**2 + 112*r + 3. Factor h(u).\nAnswer: -(u - 45)*(u + 2)*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(0 + sqrt(500)) + 1 + (sqrt(5) - sqrt(5)*-3*-2 - sqrt(5)) + sqrt(45) + -3).\nAnswer: -318*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/105*5)\/((-6)\/(-72)*4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*b - 9*b + 216*b**3 - 3*b**2 + 0*b**2 + 16*b + 4*b**2 wrt b.\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-12) + (-1)\/(-3). Let w(m) = m**3 - 6*m**2 - 6*m - 4. Let j be w(u). What is the greatest common factor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*t**3 + 56*t**3 - 25*t**3.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 787 and 18.\nAnswer: 14166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.72 + 0.12. Let u = s - -3.9. Let q = 0.3 + -0.2. Which is the nearest to 0.3? (a) q (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138108, 138111, 138112, 138111, 138108, 138103?\nAnswer: 138096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 + 7*k + 7. Let t(g) = -g**2. Let w(x) = -4*t(x) - y(x). What are the prime factors of w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 41*g - 133. Let j be i(3). Let x(y) = 3*y + 5. Calculate x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 18 = -3*o. What is the greatest common divisor of o and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 15. Let r be -1*(1 - (-1)\/l). Suppose r*f + 17 = 5*z + 2*f, 2 = 2*z + 2*f. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2287 + -2281. Solve 209 = n*o + 191 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 209 = -355. Let i = v + 108. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 82. Suppose -2*k + 3*s + 21 + 1 = 0, -22 = -2*k - 4*s. Calculate the highest common divisor of j and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/54281283?\nAnswer: -2\/54281283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013651911 rounded to seven decimal places?\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:29 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (211*x**3 - 135*x**3 + 214*x**3)*(6 + 27 + 11) as o*x**3 + y*x + k + t*x**2 and give o.\nAnswer: 12760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -463.8 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {v: 5, w: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 48368.7508 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.736168ng to grams.\nAnswer: 0.000000003736168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/24 + 209*t**2 + 4. Let k(p) = 8*p - 6. Determine -10*b(s) - k(s).\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 2*j - 1 = 0, 0 = x + j + 1. Let d = -0.1 + 0.1. What is the nearest to x in d, -2\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010110010 (base 2) to base 10\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -125*z + 19*z**2 + 33*z + 36*z + 22*z + 32*z. Let h(n) be the second derivative of n**4\/12 + 4*n. Calculate w(h(o)).\nAnswer: 19*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -82. Solve p - 3 = 0, w - l = -3*p + 2*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9288 smaller than 0.37485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196758*-13.9.\nAnswer: -2734936.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-131 - -134) + -2 + (-1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158695, -158694, -158693, -158692, -158691?\nAnswer: -158690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 150565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(50)*4).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 104. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 4*a**2 + 35*a - 24. What is p(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 1 - 1 - r + 2*r + r + (-1 + 3 - 4)*(r - r - r) + (0*r + 0*r + 2*r)*(1 - 4 + 2) - 2*r + 0*r + r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001947 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 16470\nAnswer: 2\/8235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8*-40029\nAnswer: 320232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 237452274011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let v(k) = 36*k**2 - 37600*k. Determine z(v(c)).\nAnswer: -36*c**2 + 37600*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1653753*k + 4 + 2 - 6 + 1653838*k.\nAnswer: 85*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 26 = -2*m - 0*i, 5 = m + 3*i. Suppose -m*d - 11*d + 224 = 0. Solve -15*u + 13*u = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86232 by -12.\nAnswer: 7186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -740453946*r**2*u**2 - 3*r*u**2 + r*u + r + 210765*u**2 - 2*u - 69 wrt r.\nAnswer: -1480907892*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 33*u + 111. Give f(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 14) to base 15.\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/7, -1\/108, 3\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417855102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*t - 30, -3*t + 3*p = -5*t + 18. Suppose -k = 3*k - t. Let o be (2\/(-3))\/(k\/(-18)). Solve -o*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*x + 7. Let k = 3 + x. Let d = 0 - k. Solve d = 3*z + 3*v, 9 = 3*z + z + v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 + -4146124288?\nAnswer: -4146124854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/63*-12*(-1)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 6180*f**2 + 1909620*f.\nAnswer: 5*f*(f + 618)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 30. Let u be 2\/(-4) - 15\/o. Let t be (-4)\/6 + (-32)\/u. Solve -h = -2*i - 11, -i + t = -3*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 303545750 and 303545751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122112 - -22?\nAnswer: -122030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 10 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 - 108*z = 0?\nAnswer: 0, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 97 - 247. Let c be ((-8)\/6)\/((-20)\/30). What is the tens digit of (1 - c)\/((6 + -2)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 146804.\nAnswer: -1\/73402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/492 - -154\/123. Put -3\/7, i, 0.3 in decreasing order.\nAnswer: i, 0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -9, 4, -1, 5 in descending order.\nAnswer: 8, 5, 4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:44 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -814357 divided by 111\nAnswer: -814357\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 11*o = 13*o, 4*o = -6*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 4031.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/66564 and 9\/20339.\nAnswer: 732204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2) - (-4 + 4). Let h = -5 - p. Let l(c) = c**3 + 6*c**2 - 8*c - 2. Let u be l(h). Put u, 4, -3 in ascending order.\nAnswer: -3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmzmczd. What is prob of sequence mjz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15\/(t*t\/t**(3\/2))*(t*t**(2\/7)\/t*t)**49 assuming t is positive.\nAnswer: t**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303463494 to the power of 1\/2, to the nearest integer?\nAnswer: 17420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -499*q**3 - 121*q**2 - 116*q + 4. What is r(-1)?\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -29*(0 + 3 - 2). Let i = 49 + o. What is the smallest common multiple of i and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284\/63 - -30\/7. Let p be (-2)\/4*(-51)\/6. Let t = -4 + p. Which is the second smallest value? (a) t (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/24592 and -51\/722390.\nAnswer: 5779120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1982977 - -8382977. Round l to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u**4 + 6*u**3 - 6*u**3 + (-1 - 2 + 2)*(4*u**4 - u**4 - 2*u**4).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l + 108. Is 5 a factor of h(56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.3959 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/8*-2*(-8)\/10. Let s = -3803 - p. Let u = -68293\/18 - s. Calculate the common denominator of u and 13\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/6, 0.1, -0.2 in ascending order.\nAnswer: -5\/6, -0.2, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 270 = 13*r. Let w = r + 58. Solve -a + w = 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {y: 2, a: 1, t: 2, z: 3, n: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2. Suppose 25375 = -31*v + 38*v. Let n(a) be the first derivative of -5*a**3 + v*a**2 - 3625*a**2 - 37. Give x(n(d)).\nAnswer: -450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -33)*(-5 + (-2060)\/(-410))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -332*x**4 + 294?\nAnswer: -1328*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16646 + -16647. Which is the second biggest value? (a) u (b) 342 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17177920549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -3*t, t - 20 = s - 5*s. Let w(m) be the first derivative of -2\/15*m**3 + s + 3\/5*m**2 + 8\/5*m. Factor w(y).\nAnswer: -2*(y - 4)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 2. Let w be v\/(-3) + (-91)\/(-78). What is the closest to -1 in -1\/2, 0.3, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*j + 5*x, -27 = 4*j - 27*x + 16*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -50 in descending order.\nAnswer: 1, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-33)\/2)\/(8\/((-272)\/153)) + 3. Which is the nearest to -1? (a) f (b) -2 (c) -2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*d - 858 + 999 = 0, -3*d = o + 63. Sort o, -5, 24, 1 in decreasing order.\nAnswer: 24, 1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5254229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -82. Let z be (6\/r)\/1 + 38\/(-10). Which is the nearest to 0.1? (a) -1 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:22 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(85)\/(sqrt(60)\/sqrt(3)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -270 + 522. Suppose 0*z - 3*z = -c. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4 = -2*o. Let c = -2483 - -2486. Is o < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 272326\/5 + -54656. Let s = n - -197. Factor 11\/5*i**2 - s*i - 6\/5.\nAnswer: (i - 3)*(11*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234203 (base 7) to base 4\nAnswer: 22110302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Let o = 0 - b. Let x be -5*2*(o - 4). Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*((sqrt(17) + sqrt(17) + -3)*-2 + (sqrt(153)*5)\/sqrt(9)))**2 + -1.\nAnswer: 300*sqrt(17) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 10 = 7*u, 48*u - 31 = -3*o + 47*u for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 1117385*m**2 - 2*m - 1117414*m**2.\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -42.4. Let c = 8899 - 8893.4. Let j = a - c. Is j greater than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from llcccclllca?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727053 is divided by 272.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 2125*l - 455*l - 15948*l**2 + 15949*l**2 to b + d*l**4 + y*l**3 + f*l + z*l**2 and give f.\nAnswer: 1670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -1\/4*g**3 - 3\/16*g**4 - 3*g + 3\/8*g**2 + 0. Factor c(u).\nAnswer: -3*(u + 1)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 30. Let q be o(0). Let t be q\/(-8)*(-208)\/78. Solve t = -3*a + 8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5890.015 litres?\nAnswer: 5890015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:29 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96095.\nAnswer: 5, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) + -2 + 2. Suppose p*h - 2 = 2*h. Which is the third biggest value? (a) 2\/11 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1953085 and 208915.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298865.181 + 0.3.\nAnswer: 298865.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280629203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from wddddwwwdwdw?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 56*n + 42. Determine j(-29).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384495 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5432 - -5438. What is the remainder when 597 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136032 is divided by 27204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49a - 1071?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (124\/(-6))\/(14\/42). Is b > -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1359613*s**3*t*v**2 - 10*s**3*v**2 + 428*s**2*v + 918*s*v**2 + 20*t wrt t.\nAnswer: 1359613*s**3*v**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/57 + 1\/3. What is the smallest value in 3, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7552 + -8614. Are u and -1065 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 3}. Give prob of sequence hqh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7547955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 271957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 7908985.\nAnswer: 39544925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-2)\/(-1) - 0. Let v(f) = f + 9. Let h(z) = z + 10. Let p be (-21)\/(-4) + 4\/(-16). Let g(w) = p*v(w) + r*h(w). What is g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-960640)\/(-474))\/(-152)*-6*1?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-496)\/8)\/((-144)\/72).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.3 (c) 23 (d) 0.5 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -4*d + 2*d**2 + 2*d**3 + 2 + 1\/4*d**4. Calculate y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 3*s**3 + 11 - 16 + (-3 - 5*s + 3)*(-2*s**2 + 0*s**2 + 0*s**2) as m*s + h*s**2 + l + t*s**3 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - (2 + -8) - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -377364 to the nearest one thousand.\nAnswer: -377000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j - 4. Suppose -1 = -5*t - 3*g, 6 = -2*g - 0*g. Let o(m) = -7*m + 7 + 3*m**t - 2*m**2 - m - 3. Let s be o(8). Calculate q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/6 - 3*(-2778)\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1677932 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 6. Let n be t(3). Solve -4*k = 4*q + 28, -2*q + 3*k = -n - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 1, b: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(136)\/(1*sqrt(1152) + sqrt(1152)))**2 + -5.\nAnswer: -63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 18 - 15)*(3*f**3 - f**3 + 0*f**3).\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*u - 6. Suppose -3*m + u = -0. Let c be 0\/m - (-2)\/8. Is -4 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22985 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (4 - 2))*-1. Suppose 5*l - 3*l - v*a + 35 = 0, -3*l = 2*a + 24. Let y be 15\/(-48)*l - 3. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 4. Let j(r) = -3*r**3 - 3*r**2 + 24*r + 78. Give j(l) + 24*w(l).\nAnswer: -3*l**3 - 3*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.9 and -6?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 814165210 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 25*k**3 - 40*k**2 - 52*k - 9. Let w(z) = 6*z**3 - 9*z**2 - 13*z - 2. Calculate 2*j(f) - 9*w(f).\nAnswer: -4*f**3 + f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 - 317.5. Let q = 79.6 + j. Let f = -0.1 + 0.3. Put 1, q, f in descending order.\nAnswer: 1, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17489993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -702*l - 4983. Determine i(-7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 304. Let w = 138 + n. Solve w*q - 3*q + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 3*w**2 + 5*w - 5. Let c(i) = -i**3 + i**2 + 2*i - 2. Let p be (-3 + (-63)\/9)\/1. Determine p*c(n) + 4*v(n).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244247 rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 12*g + 4. Let x(u) = -6*u + 2*u**3 + 3*u - g - u**3 + 2*u**2. Let z = 2 + -5. What is x(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2057636 and 73487.\nAnswer: 2057636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 5. Suppose 2*s = f*w - 1, -2*s + w - 22 = 5*w. Sort 4, s, 5 in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/5))\/w**5)**23*(w**2)**(-1\/9)*w**(-3)\/(((w\/(((w*w\/(w*w**(-1)))\/w)\/w))\/w)\/w) assuming w is positive.\nAnswer: w**(-3619\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.12, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492375141 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u - 3*u + 2*u - u + 0*u - 3*u - u + 3*u + (-2*u - 2 + 2)*(1 - 4 + 2) - 3*u + 3*u + 3*u)*(5 - 1 + 2*u - 3) as p + z*u + y*u**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let r = y - 0. Let u(o) = 3 + o - r + 0*o. Give u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*w + 2, -3*u - 3*w - 2*w = 50. Let b(k) = -410*k**3 + k**2 + 11*k + 10. Let z be b(u). What is z rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 135 - 135 + 270.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/12 - (-87)\/(-9). Let z = k + -8. Is -16 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1.0123842?\nAnswer: 0.0123842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2275 and 9265165?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1872 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14634322?\nAnswer: 2, 7317161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.1 - -2.1. Let d = h + 7.8. What is the biggest value in d, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {e: 1, l: 4, z: 5, t: 1, h: 3, m: 6}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(15\/8)\/(a*a**(1\/3)*(a*a**(2\/3))\/a) assuming a is positive.\nAnswer: a**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*r + 22133 = 24341 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18558138979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*s + 5*t, 2*t - 9 = -6*s + s. Find the second derivative of -s*p**2 + 6*p**2 - 2*p + 0*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(12\/8)\/(90\/80).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 82355. Let s be o(0). Suppose 3*m + 4*x = 182992, 5*m - 222655 = 5*x + s. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -895 (base 13) to base 12\nAnswer: -a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46883 is divided by 11482.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2082323192?\nAnswer: 2, 29, 8975531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 337 * 0.2\nAnswer: 67.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3566.791 + -62.871?\nAnswer: -3629.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -12*u + 39*u - 513. What is the highest common factor of 63 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/8)*n**(-1))**(-26) assuming n is positive.\nAnswer: n**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159306*q**2 - 29879*q wrt q?\nAnswer: -318612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0 + 2*t - 7 + 10 - 4. Let d(s) = 3*s - 4. Let x(j) = d(j) - w(j). Let b be -1 + 9 + 2 + -1. Determine x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 12*f + 24. Give i(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4562314 is divided by 1142.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-3\/7)*r*r))**(1\/17)*r**(-14)\/(r\/(r\/((r\/(r**(1\/7)*r))\/r)*r)) assuming r is positive.\nAnswer: r**(-1415\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + y = -3*y + 7369, 0 = -3*m - 5*y + 7367. Let n = m - 44251\/18. Calculate the common denominator of -17\/15 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8525081*g + 9331520 with respect to g.\nAnswer: 8525081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353*g**5 - 525*g**2?\nAnswer: 21180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**4 - y**3 - 1. Let a(t) = t**4 - 5*t**3 - 19*t - 5. Let n(w) = a(w) - 5*p(w). Find the second derivative of n(z) wrt z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 80\/(-10) - -1 - -215.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 546082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+507465006\nAnswer: 507465006.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -262691, -263015, -263339, -263663, -263987?\n\"Answer: -324*c - 262367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*u + 179*u - 11 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*y - 17 + 2 = 0, 0 = -3*t + 4*y - 20. Suppose t = 4*x + 4*m - 224, 2*m = 4*x + 20 - 238. What is the highest common divisor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-15))\/((-1)\/(-5)). Let t be 6\/m + 23\/2. Let a(f) = 6*f - 4. Let x be a(4). What is the greatest common divisor of t and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a**2 - 2*a + 3. Let p be h(3). Let k = p - 4. Suppose -7*o + 3*o = -12. Solve -k*f - q - o*q - 14 = 0, 2*f - 4*q = 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) 2 (c) -213 (d) 1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43052\/3 - -14350. What is the third biggest value in 779, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88230054 and 318?\nAnswer: 88230054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3069 and 651.\nAnswer: 21483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 - 128. Let a = -340.999998472 - x. Round a to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*t - 4*s - 8 = 60*t, -5*t = 4*s + 8. Solve 3*h + 20 = -4*f, h + 2*f + t*f + 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/(-4)*(-4)\/(-5). Let b = 19 - g. 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: What is the derivative of -491*v + 36 wrt v?\nAnswer: -491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/4 - l**3\/6 - 6*l**2. Let d be -3*22*(-1)\/(-6). Let h(s) = s. Let i(p) = d*h(p) + 2*u(p). Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/((-1)\/39). Suppose -2*b + b = -k. Solve -c + 3*d = d + 1, -b = -5*c + 4*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let a(b) = 6*b + 40. Let q(g) = a(g) - 5*d(g). Let j be q(-11). Let n = 27 - j. Solve n*y = -p - 6, 6 = -2*p - 3*y - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18 + (-4030)\/(-10602).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4007755*y*z**5 - 6*y*z**3 + y*z + 170*z - 24690 wrt z.\nAnswer: -80155100*y*z**3 - 36*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1589206 grams?\nAnswer: 0.0001589206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x + 1\/2*x**2 - 3\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/20 - i**4\/2 + 3*i**3\/2 + 9*i**2\/2 - 8*i + 2. Let k = -22 + 15. Determine m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) - 18\/(-135). What is the nearest to 1 in c, 6, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + ((-1 + sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68)))**2 + 0 + sqrt(17) + sqrt(17) + -1 + -2*sqrt(17)*-1).\nAnswer: -24*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -571.4 + 571.5. What is the nearest to k in -5, 43, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.58, 1, -1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10241087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4022 (b) 29 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9505.4 - 9239. What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 6. Let c = 0.04 + -0.16. Let t = c - 4.88. What is the smallest value in 1\/4, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = 2*b, -2*b + 8 = 4*h - b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120212 - 2?\nAnswer: -120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 54387.4 and 1.\nAnswer: 54388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-1)*a))**(17\/6)\/(a*a*a**(3\/7)\/a*a*(a\/(a**0*a)*a)\/a))**(-2\/25))**46 assuming a is positive.\nAnswer: a**(-782\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8602, -35962, -1 in descending order.\nAnswer: -1, -3, -8602, -35962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212294.\nAnswer: 2, 179, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1832155*f**5*z - 2*f*z - 7*f + 35*z - 449 wrt f.\nAnswer: -36643100*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 13. Let c(y) = 4*y - 40. Let b = 34 + -28. Let p(x) = b*c(x) - 17*l(x). What is the units digit of p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/222 and -43\/1110.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 29*a + 16. Calculate c(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2712 by -113.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/20 - 7*m**4\/4 - 19*m**3\/6 + 25*m**2\/2 + 18*m. Let y be s(-20). Solve 5 = 2*n + y*w + 1, 3*w - 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 179209\nAnswer: -13\/179209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 equal to 15978.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8169281 is divided by 918?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 18*c + 2. Let t = 10 - -4. Let g be (2 - 1 - c)*t. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 55. Let z be x(0). Let f = 274\/5 + z. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -68*i - 6. Let d(k) = k + 1. Let r(c) = 2*d(c) + l(c). Let z(n) = n**3 + 16*n**2 + 14*n - 17. Let s be z(-15). What is the units digit of r(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*299\/(-2093)*(-77)\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2647*-35.7.\nAnswer: 9.44979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*a - 3, 4 = -2*i + 4*a - 4. Suppose -4 = -i*q + 2. Suppose -q = -3*m + 6. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 4. Let x(r) = 1041*r + 2776. Let i(t) = -694*d(t) - x(t). Let o(w) = 2*w. What is i(o(b))?\nAnswer: -694*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -327146915 - 1.48?\nAnswer: -327146916.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 18 = -7*a. Sort 0, a, -2, 1 in descending order.\nAnswer: a, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l\/(l*l\/(l\/(l\/(l**(-3\/2)*l*l)*l)))*l)\/l*l\/(l\/l**(3\/35)) assuming l is positive.\nAnswer: l**(41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2 = -l, 0 = 6*g - 5*g - 1. Which is the fifth smallest value? (a) l (b) -2\/7 (c) -4 (d) -2 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -96. Suppose j*y = -6*y + 1125. Calculate the highest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54999364 divided by -6\nAnswer: -27499682\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -63. Let x = -20.04 - v. Let o = x + -1.96. Sort -1\/6, 3, o in decreasing order.\nAnswer: 3, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2 - t + 165673. Is u(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/1008 - g**7\/210 + g**6\/180 + g**5\/90 - g**4\/24 + g**3\/18 + 6*g**2. Find q such that n(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y + 95. Sort y, -4, 2, -3.\nAnswer: -4, -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -264\/17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 590 + 590 + 0*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101 and 291.\nAnswer: 29391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -75, -117, -159, -201?\n\"Answer: -42*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p, -2*v - 4*p + 10 = 3*v. Suppose 0 = -v*b - 338 - 1082. What is b rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255 take away -114067934.65?\nAnswer: 114067934.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-15 - -51) + -35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 278555 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w + 2*r, -w + 0*r = r - 3. What is the second derivative of -b**2 - 37*b + 44*b + 3*b**w wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3513*a**2 - 78*a - 78. Let d(g) = -185*g**2 - 4*g - 4. Calculate 117*d(m) - 6*x(m).\nAnswer: -567*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*n - 13, -5*n + 7 = -3. Let t = -13 + 23. Calculate the remainder when ((-14)\/(-4))\/(5\/t) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 562, 628, 738, 892, 1090, 1332?\n\"Answer: 22*n**2 + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 59?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-935)\/(-77) - 390\/30.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 8. Let d be q(3). Let v be 119 - (2*(-4 - d) + 0). Put v, -4, 2 in decreasing order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/6 (b) -12\/23 (c) 2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3885905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5186896 from 0.0207.\nAnswer: 5186896.0207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*o = 109 + 161. Let b(c) = -4*c**2 + 5*c - 5. Let a = 10 + -18. Let m(z) = 6*z**2 - 8*z + 8. Determine a*b(s) + o*m(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2592 by 648.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12*((-4)\/20)\/(3\/(-5)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) + sqrt(68) + sqrt(68)*-1))\/sqrt(4).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 2. Calculate the remainder when 2 + g\/(-2 + 3) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*537\/9666*(0 + 428).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111420 and 57?\nAnswer: 2116980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 6*h + 11*h. Let q be i(2). Find the third derivative of -8*d**q + d**2 + 4*d**2 + d**4 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**4 - 2*r**4 - 2*r**4 + (3*r**4 + 3*r**4 - r**4)*(8 + 0 - 6) + (2*r**2 - 2*r**2 + r**4)*(-4 - 1 + 3).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j = n, -n = 3*j - 14. Let h be (-4)\/(-16) + 726\/n. Suppose -4*x = -9 - h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 15 = -3*t. Suppose -t*v - 2*v - p = -46, -3*v + 25 = -2*p. What is the greatest common divisor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*u - 3 = 0, -18*c + 23*c - 2*u = -7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779 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: Let l(w) = -w**3 + w**2 - w + 265. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 4. Let u be 5\/10*(15 - c). Suppose -k + u = a, -5*a + k + 1 = -4. Solve -4*y - a = -10, 3*b + y = -7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/196272 and -43\/9666396.\nAnswer: 38665584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 5, 43, 119, 245, 433?\n\"Answer: 2*d**3 + d**2 - 5*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21841976.\nAnswer: 2, 13, 210019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*l - 52, -3*k = 2*l - 8*k. Let p = 14 - l. Suppose 0 = -p*f + 28. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7640131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1062)\/189 + (-3)\/(-4)*2 and 73\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 25*v - 8 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 119500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -6*i**2 + 89902*i + 12093600 = 0.\nAnswer: -400\/3, 15117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, i: 6, s: 1, t: 3, p: 2}. What is prob of picking 1 t and 1 i?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103895883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161.1 + -160. What is the closest to h in 4, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 25*u + 115. Let t(x) = 21*x + 116. Determine 4*q(o) - 5*t(o).\nAnswer: -5*o - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122135*a**2 - 143916?\nAnswer: -244270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 12, h: 5}. Give prob of picking 1 h and 1 w.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 42 + 35. Let l = -9\/5 + 436\/245. Are l and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*k + 5, 3*k + 5*q = -0 + 5. Solve k = 5*c + 12 - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, -33966.8, 0.5?\nAnswer: -33966.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920530.6nm to micrometers.\nAnswer: 920.5306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*72\/20. Suppose t = 4*s - s. Solve 0*o = -s*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 36. Let z be b(-16). What is the third derivative of 10*x**4 + z*x**2 - 3*x**2 - 12*x**4 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) -3 (b) 13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -918.18, -185, -1, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, i: 2}. Give prob of sequence lll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d443 + -4?\nAnswer: -8d447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1 - 150\/(-40))*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -16502?\nAnswer: 16506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 + 117784*v**2 - 2234964*v - 43787376 = 0.\nAnswer: -12, 31, 29427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3260, 6638, 10028, 13436, 16868?\nAnswer: 20330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmett. What is prob of sequence ttme?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpfipicpipppccpppfip. What is prob of picking 1 i and 2 p?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -1 - (63 + 4 - 50)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 - 1216*f**3 - 11066*f**2 - 24680*f = 0. What is f?\nAnswer: -5, -4, 0, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.60935 + -354.\nAnswer: -353.39065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 64.3. Let k = -4 + 2. Let q be k*2\/(8\/6). What is the second biggest value in q, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/8 + 9*z**3\/4 - 3*z**2.\nAnswer: -3*z**2*(z - 4)*(z - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61150 and 232370?\nAnswer: 1161850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 0)*(-2 - 2*i + 2) + 3 + 2*i - 3 + 3*i - 10 + 10 as j*i + g and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*y - 4*y - 14 = 0, 2*y = 4*v - 26. Suppose 1 - 5 = -m. Let s be -3*m\/v - -19. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 + 98 - 62).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 17 + 2. Suppose -9*w + 16 = -5*w. Suppose 13 = -w*j + 173. Solve -f = 2*l - u*l, 4*l + 4*f - j = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2. Let i(v) = 7 + 2*v - 7. What is i(y(h))?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a. Let h(z) = 377*z**2. Give h(j(r)).\nAnswer: 3393*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ba6eb - -e?\nAnswer: -1ba6dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/5)*v)\/v)**3\/(v**(5\/4)*v**5)*((((v*(v*v**(5\/3)*v)\/v)\/v)\/v)\/v*v**(2\/3))**(-9\/5) assuming v is positive.\nAnswer: v**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -303, -1155, -2875, -5763, -10119, -16243?\n\"Answer: -50*h**3 + 16*h**2 + 18*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 9) to base 6.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 64 + -48 - (29 + -5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766111 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.73564343 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31256061 divided by 2.\nAnswer: -31256061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/5)\/(159\/(-30) - -5). Are 46 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 3. Let x be m(6). Suppose -z + 4 = -r - 9, -4*z - 68 = 4*r. Let i = -11 - r. Sort 1, i, x.\nAnswer: 1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(-53))\/((-11)\/(-6))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 163*k**2. Let m = 10 - 12. Let p(g) = 81*g**2. Let y(n) = m*z(n) + 5*p(n). Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - -3) + 6 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6307 - 6304 + 33*c**2 - 35*c**2. Let n(f) = 3*f**2 - 4. Determine -5*n(q) - 8*y(q).\nAnswer: q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from gjbjkgjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 9*z + 4 = 0. Let s(q) = -2*q**2 + q**2 + 2*q**z. Let f(n) = 3*n**2 - 4*n. Let r(h) = -h. Let k(b) = -f(b) + 4*r(b). Calculate s(k(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3505*o + 1836 = 3573*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. What is the second derivative of -d**b + 3*d - 3*d + d wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7250 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6028098 and 433307.\nAnswer: 6461405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631 - -629. Let u be (-188)\/36 - (-4)\/18. Let n(i) = 2*i**2 - 7. Let o(p) = -p**2 + 3. What is d*n(x) + u*o(x)?\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012121011211 - -100?\nAnswer: 11012121012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*n - 8 = -2*c, -c - 3 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 164*x**4 + 1856*x**3 - 6400*x**2 = 0.\nAnswer: 0, 8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 5. Let f be d(-3). Suppose 10 = 3*m - 2*x, -2*x - f = m + 8. Let n be m\/(8 + -4 + 0). Solve -z + 3 - 8 = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 803 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1993, 3217, 4441, 5665?\n\"Answer: 1224*z + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47\/4, 85.5, -4 in increasing order.\nAnswer: -4, 47\/4, 85.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 3 (c) -2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*v = -749*v - 676*v + 1803 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x - 1. Let k be t(2). Let d = -31 + 17. Let q = k + d. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 584, 564, 526, 464, 372, 244, 74?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 780\/50 - (-4)\/10. Let q be 6\/(2 + -1) + (k - 19). Let 1 - 10*f + 2*f**2 + 2*f**q + 2*f + f**2 - f**4 + 3 = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 1. Let p be u(-4). Let a be 11*(-7)\/21*-21. Calculate the greatest common divisor of a and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4, -4, -0.28 in decreasing order.\nAnswer: 4, -0.28, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 65386544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.011 + -0.01100073. Round z to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:32 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -0.5. Suppose -s - 9 = 5. Let z = s + 12. What is the closest to 0 in z, 1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/14))**(3\/8))**41)**(-3\/4) assuming v is positive.\nAnswer: v**(1107\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/4))**(3\/5))**(3\/29))**(2\/155) assuming o is positive.\nAnswer: o**(-9\/44950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6312 (base 10) to base 5.\nAnswer: -200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - (-39 + (-39 - -13) + 70)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009 + 12032 - 3008 - 3003 - 13*u - 3012.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4508724055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 2 - 4 + 1 - 1. Let p be ((-2)\/4)\/((-1)\/(-12)). Let h(l) = l + 5. Determine p*z(u) - 7*h(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15.4 and 36.86692.\nAnswer: 21.46692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 499\/17 or 5175?\nAnswer: 5175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 719603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150194962.\nAnswer: 2, 19, 71, 179, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*z - 7 = 4*n, -n + 2*z + 8 = 0. Which is the biggest value? (a) -0.18 (b) n (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -33*r**2 - 2*r - 12. Let g be p(-2). Put g, -1\/4, 0.1 in increasing order.\nAnswer: g, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 7. Let u(w) = w**2 - 10*w + 3. What is the remainder when 10 is divided by u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.057032.\nAnswer: 0.00456256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -217 (b) -4\/7 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002429 to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 11*r**4 - 236*r**3\/3 + 128*r**2 - 64*r - 248. Solve z(k) = 0 for k.\nAnswer: 4\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11234 - 393133\/35. Let b = -26227\/10 + 2630. Calculate the common denominator of d and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1452 - 1010. Let v be 40\/(-220) + 4\/((-132)\/(-8619)). Let g = d - v. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h + 2. Let r(x) = 3*x - 27. Let p be r(9). Let m be o(p). Let c = -54 + 57. Solve c = -m*s + 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1072957867 to the nearest integer?\nAnswer: 32756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26068 divided by -4.\nAnswer: 6517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 6. What is the closest to 2\/5 in 5, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*u + 6*u - 420, -5*z + u = 704. Let h = 2395\/17 + z. Is h at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000795453 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -903*x + 4. Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 = 3*h, 2*b - 5 = 5*h + 4*b. Let x = 89 - 85. What is the closest to h in -5, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 487275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53473617114.99996645 + 53473615976. Let f = 1139 + c. Round f to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i + 4*i = 39*i - 648 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 30668 + 30649 = -6*o, -5*y = o + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 4, c: 2}. Give prob of sequence ffcf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.17 and 0.0062.\nAnswer: 0.1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364.575 milligrams in nanograms?\nAnswer: 3364575000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 3541109\nAnswer: 17705545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 + 517*d + 2603. Give f(-5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 58*p**2 + 73*p**2 - 15*p**2 - 18 - p**3 to a*p + z*p**2 + f*p**3 + m + y*p**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-108)\/(-504) - ((-8)\/18 + (-2054)\/117)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137459 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.1676792 + -0.3?\nAnswer: -58.4676792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - (-36 - 5)) + (3 - -26) + (-15 - -19).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1566 and 84274?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15566\/3 - -5189. What is the second smallest value in 82, q, 0.17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164 + -163.5. Let o = 22.9 + -20. Let u = o - 3. Which is the second smallest value? (a) -2 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3110347953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 298 (base 12) to base 13\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:34 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305790 is divided by 548.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6*l = -2*l - 2989, -b + 999 = 2*l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*n - 40*n + 314 + 7281 = 1519 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 10*q**2 - q - 10. Let h be (10\/(-8))\/((-7)\/(-56)). Let v be x(h). Suppose 5*p - 4*t = 21, v*p + 11 = 3*p - 2*t. Is 1\/33 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21858415*b*f*x + 3*b*x**2 - 4*f*x**2 + f*x - 163*f - 2*x**2 - 2*x - 39 with respect to b.\nAnswer: 21858415*f*x + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-803)\/(-66) + -12)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -4 - (-11 + 28 - 8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-213)\/568)\/(1\/28))\/(8\/16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 0. Let r = 637.1 + -637. What is the nearest to 0 in 21, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(17) + -5 + (sqrt(34)\/sqrt(2)*-2 - sqrt(272)*3)**2.\nAnswer: 2*sqrt(17) + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443 divided by 233.\nAnswer: 443\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*r + 44 = 3*k, 3*k + 4*r - 56 = 0. Let n = -35 + k. Let h = 17 + n. Calculate the remainder when 16 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - -32. Let j be 7*(o\/14)\/(-4). Let z be (-30)\/j*(-1 + 10). What is the highest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 23.1. Let d = v - 23.5. Which is the nearest to -2\/7? (a) -1 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)\/r**(-1)*((r\/r**(2\/17))\/r)\/r*r*r*r**(-4)*(r\/r**(-7))\/r**9*(r**(1\/3))**25 assuming r is positive.\nAnswer: r**(-142\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - 7*c**2 + 7*c**2)*(-13*c**2 - 8*c**2 + 6*c**2 + 2*c**2 + 0*c**2 - 4*c**2 - 4*c**2 + 2*c**2 + c**2 + (-3 - 2 + 4)*(0 - 2*c**2 + 0)).\nAnswer: 64*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-87)\/(-36))*(-396)\/1386?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 1. Let d(p) = -5*p**2 + p + 3. What is -d(b) - 4*r(b)?\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4 + 293512*q**3 + 880572*q**2 + 16*q - 1174096 = 0?\nAnswer: -2, 1, 73381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3021.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1185 and 11895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - 2. Calculate j(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -3 (c) -1 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -32*n**3\/3 + 750. Let p(u) = -4*u**2. Give m(p(l)).\nAnswer: -512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32431 is divided by 183?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20336, -42440, -66310, -91946, -119348, -148516?\n\"Answer: -883*v**2 - 19455*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/5459707 and -26\/82175.\nAnswer: 136492675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430651081.\nAnswer: 1741, 821741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1988642 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 8*d = -120. Let s = 366\/5 - 2432\/35. Calculate the common denominator of s and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20490015*u**2. Let p(t) = -t**2. Calculate p(j(w)).\nAnswer: -419840714700225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1bb5b?\nAnswer: -1bb5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140464295?\nAnswer: 5, 28092859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/4 + 2*f**3 - 2*f**2 - 5*f + 20. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109593 and 423489.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 less than -84633?\nAnswer: -84733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, -2, -1.2, -0.1, -3 in increasing order.\nAnswer: -23, -3, -2, -1.2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27330, -27320, -27312, -27306, -27302?\nAnswer: -27300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5001 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 3. Let z(q) be the first derivative of -q**3\/3 + q**2\/2 - 3. Let x be z(0). Let u be b(x). Sort -4, u, 2.\nAnswer: -4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 15. Suppose -f = -s*k + 20, -4*k + 0*f + 35 = 3*f. Solve 30 = k*z + 3*b, 3*z - 2*b - 1 + 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 3. Calculate the remainder when 49 is divided by w(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441554 and 22.\nAnswer: 4857094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 370275 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: b\"What is the pth term of -6, -34, -72, -120, -178, -246, -324?\n\"Answer: -5*p**2 - 13*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:28 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2873 + -2829. What is the lowest common multiple of 528 and g?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -10. What is the third derivative of -7 + k**2 + 15*k**6 + 5 - r wrt k?\nAnswer: 1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 1\/27*t**3 + 0 - 1\/216*t**4 - 1\/270*t**5 + 0*t + t**2 + 1\/1080*t**6. Determine z, given that i(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 2*y - 3. Suppose -5*v - 222 = -11*v. Calculate the remainder when v is divided by q(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-165)\/88)\/(45\/60).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 4, x: 3}. Give prob of sequence txxt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n - 2060 + 1822 = -8*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from fhhorlx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**2\/2 + 8*u + 1. Suppose -5*l = -3*p + 14, 2*l + 98 = 102. Calculate the remainder when 30 is divided by g(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-5)\/((-25)\/30)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-12)*9\/(-252)*4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -1.95. Let n = t + 0. Let h = 1 + -2. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9242, -9244, -9244, -9242, -9238, -9232?\n\"Answer: s**2 - 5*s - 9238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1 - -3) + 1 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80494 and 4676.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*f + 59. Differentiate -7 - 8*z**2 - f - 5 - 4 wrt z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-17)\/(-2))\/(1\/6). Find the common denominator of ((-1)\/2)\/(100\/(-90)) and -4*(-1)\/(80\/w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726 and 127171?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 11*t**2 + 6*t - 40. Let d be n(-10). Suppose d = -z - 2*g + 22, -5*z + 0*z + 2*g + 98 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213.978 + -214. What is m rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 4\/4*2. Let p be s - 0 - -82 - 1. Suppose 0 = w + w - 2*c - 156, -2*c + p = w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-2)\/(-6)*3. Let j(l) = 57*l - 518. Let t be j(9). Let b = w - t. Let f(c) = 5*c - 1. What is f(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(8 - 2) - -3345?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 798746 divided by -13\nAnswer: -61442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.1 (c) 232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49693.6 and 0.0137.\nAnswer: -680.80232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(2 - 4 + 3)*(124*m**2 + 124*m**2 - 244*m**2) - 3*m + 2 - m**2 + 4*m + 3*m**2.\nAnswer: -10*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) 2\/65 (c) -0.4 (d) 101\/26 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -430 - -2151\/5. Which is the closest to -2\/3? (a) 2\/9 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334 - 3663 = 588*l + 1963 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 508. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8))**(1\/32) assuming k is positive.\nAnswer: k**(9\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/22578960 and 29\/22578960.\nAnswer: 22578960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 4. Let t be h(3). Let c be 15000*(t\/(-3) - 1). Round c to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by -2.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -12 - (-2 + 1 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -71. Let r(x) = x**2 + 6*x - 4. Give r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g - 9. Let c be 189\/g + (-1)\/(-2). Let f be ((-40)\/c)\/((-1)\/12). What is the greatest common factor of f and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**7\/945 + d**6\/270 + d**5\/90 - d**4\/27 - 4*d**3\/27 - 7*d**2. Find n such that z(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 5. Suppose -k - 7 = n, -3*n + k - 18 = 11. Let v be (n\/(-6))\/((-6)\/(-136)). Calculate the highest common factor of f and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 297344 = -4*p, 5*k - 336342 = -3*p - 113348. List the prime factors of p.\nAnswer: 3, 24781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3061 (base 7) to base 14\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6008349, -6008340, -6008331?\nAnswer: -6008322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(3*d + 0*d - d) + (5 + 3 - 6)*(3 - 2*d - 3) - 3*d - 2*d + 6*d - d - 4*d + 2*d + 3 - 3 + 2*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1340132*m**2*n*z + 2*m**2*n - 68*m**2 - 11994340*m*n + 3*m*z - 3*m wrt m.\nAnswer: 2680264*n*z + 4*n - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159217 by -72.\nAnswer: 159217\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030214928 to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4)*(-25)\/(125\/30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -155*k**2 + 2067*k - 671. Determine w(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 29 = 7. Let a be (-48)\/(-40)*(-20)\/y. Factor -a + 2\/3*h + 2\/3*h**2.\nAnswer: 2*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let p(x) = 2*x**2 + 2*x + 1. Let k = 10 - 7. Suppose 2*s - 5*s + 8 = -5*q, -2*s - 5*q = k. Give s*p(m) - 2*j(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2517245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Let g = 4 - m. Suppose g = -3*x + 2 + 10. Solve 0 = -x*i + 3*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405451 divided by -373\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 238*g + 153*g - 6739276. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + t - 1, 2*t = t + 1. Let m(i) be the second derivative of -1\/60*i**5 + 1\/18*i**4 - i - 1\/3*i**2 + f + 1\/18*i**3. Factor m(n).\nAnswer: -(n - 2)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.6 and -9.842.\nAnswer: -74.7992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 19. Let b be g(13). Suppose 2*o + b = -3*o. Find the common denominator of 61\/30 and 442\/288 + o\/18.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27100000 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(200) + -1*sqrt(200)*-2 - sqrt(200)) + 1))**2 + -3)*1.\nAnswer: 640*sqrt(2) + 12813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w + w + (3 - 4 + 0)*(-1 + 1 - 2*w**2)*(-736 + 593 - 1619).\nAnswer: -3526*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 70. Let m = u - -1. Which is the third biggest value? (a) 2\/7 (b) 0.5 (c) m (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9340 is divided by 267?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**7\/1365 + v**6\/156 - 7*v**5\/130 + 23*v**4\/156 - 8*v**3\/39 + 2*v**2 - 4*v. Factor h(r).\nAnswer: 2*(r - 1)**3*(r + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s**4\/11 - 340*s**3\/11 - 746*s**2\/11 - 488*s\/11 - 40\/11 = 0. Calculate s.\nAnswer: -5, -2, -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*s + 347284 - 347284 + s**3.\nAnswer: s**3 + 66*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 810 = -2*m, z + 4*m + 380 = -z. Let t = -59 - z. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*j - 490 - 739 = 373 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 547, 1312, -4, 4 in increasing order.\nAnswer: -4, -2, 4, 547, 1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 - 2*m**2 - 1. Let c(j) = -5*j**3 + j**2 + j + 1. Let q(k) = -3*c(k) - 4*v(k). Let h = 35 + -35. Suppose -d + h*d = -4. Determine q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11415 or 11302?\nAnswer: 11302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217*j**2*z**3 + 264*j**2*z - 2*j**2 - 2*j*z**3 + 129*j*z**2 - 23*z**2 wrt j?\nAnswer: 434*z**3 + 528*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -976 + 981. Sort 0, r, -0.4 in increasing order.\nAnswer: -0.4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 20 + 31 + -37.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 + p**2)*(-2*p - 4*p + 4*p)*(-5 + 4 - 2)*(-6*p + 2*p + p).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-20\/11)*j)\/j**(-1\/17) assuming j is positive.\nAnswer: j**(45\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-74)\/111)\/((-4)\/6). Solve 2*q - q + o = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let j(s) be the first derivative of 2*s**3\/3 + 22. Determine v(j(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 698*q - 1395\/2.\nAnswer: -(q - 1395)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (4 + 4 + (-50 - -2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 2.2.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 1314?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -0.8, -19.7, 0.4, 2.97 in descending order.\nAnswer: 2.97, 0.4, -0.8, -4, -5, -19.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*j*r - 45*d*j - 8314*d*r + 438*j*r - 3680 wrt d.\nAnswer: -2*j*r - 45*j - 8314*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.285 - -2.\nAnswer: -8.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-7 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -79*a**2. Let l(f) = -2*f**2 - 7*f. Give l(o(d)).\nAnswer: -12482*d**4 + 553*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/33 and 101\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**11*(t*t**(2\/63))\/t)**26)**(-1\/6) assuming t is positive.\nAnswer: t**(-9035\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 960\/(-128) + (5 - (10\/5 + -3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1663, -3327, -4987, -6643?\n\"Answer: 2*j**2 - 1670*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3.65, 0, 4, -86, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5163, 10348, 15533, 20718, 25903, 31088?\n\"Answer: 5185*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/271964 and -121\/20?\nAnswer: 1359820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122110120211012110 + 2?\nAnswer: 21122110120211012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 20. Let x be 2 - (-15 + (0 - r)). What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 26. Let h be ((-4)\/(-2))\/(0 + 2). Let l = 4 + h. Sort i, l, -2 in descending order.\nAnswer: l, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 + 2*s - 4. Let w be a(-3). Let v be w*-15*(-5)\/15. Let h be (2\/6)\/(v\/15). Put h, 5, -21 in ascending order.\nAnswer: -21, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316495 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a + 86*a = 1223. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.04 - 0.04. Let v = s - 7. What is the nearest to -1 in 1, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 160 = -3*p. Let d be (p\/12)\/((-1)\/12). Let r = 79 + d. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-24)\/120 - 236630\/(-6) - 10\/75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 8*f**2 + 0*f**3 - f**3 + f - f**2 + 66 - 8*f**2 to the form t*f + u*f**3 + z*f**2 + b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let t(v) = -2. Let x(l) = 2*d(l) - t(l). Let k(b) be the first derivative of 4*b**2 + 3*b - 3935. What is k(x(a))?\nAnswer: 16*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h. Suppose h = 5*u - 9 - 16. Suppose u*c = -4*x + 171, -c - 3*c + 116 = -2*x. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89 - 13b25?\nAnswer: -13a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -7, 0, -1 in increasing order.\nAnswer: -7, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 17 in ascending order.\nAnswer: -1, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 364927001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*p = 5, 5*j - 4*p + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, -364 in increasing order.\nAnswer: -364, -25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u = 370 + 624 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (4 - 2)) + 67 + -68. What is the second smallest value in a, 0, -5, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, -0.2, -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-792)\/60)\/(-11)*((-4)\/33)\/((-120)\/(-300)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4230*r + 40*r**2 - 12*r**2 + 4270*r.\nAnswer: 28*r**2 + 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-24 - -2) - -1 - -9) + (-2 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - 0. Let n = 7 + -7.08. Let p = -0.18 - n. Which is the closest to p? (a) t (b) 1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 12\/20)\/((-2)\/(-20)). Solve s + 3 = i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 2:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)\/(396\/216).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/4, -2\/11, -4\/7, -1217, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 571 + -515. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 125\/35 - (-3)\/7. Find the common denominator of (-8)\/12 + 292\/72 and 65\/d + (-7 - -10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f - 818*f = -5189 - 3443 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 8, -r + 2*l = l. Let g(p) be the first derivative of p**3 - 186*p**2 + r + 186*p**2. Let x(n) = -4*n. Determine x(g(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5659 divided by -3106?\nAnswer: -5659\/3106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(110)\/((sqrt(160)\/sqrt(8))\/sqrt(2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3015315504 + -3?\nAnswer: -3015315510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 22 - 15 + 37.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((623\/(-89))\/((-98)\/12))\/((-8)\/(-7)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.79182394 to 3 decimal places.\nAnswer: -21.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.01 and 12?\nAnswer: 24.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/5 + (-21)\/(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -33, -40, -47, -54, -61?\n\"Answer: -7*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107\/3 + 36. Let p = 0 - 0.1. Let o be -2 - -6 - ((-12)\/14 - 5301\/(-1064)). Which is the closest to p? (a) 1 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 2*m - 4*q, q + 288 = 3*m - 87. Let j = m - 117. Differentiate 88*x - 88*x - 22 + j*x**2 + 28*x**2 with respect to x.\nAnswer: 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1236*h**3 - 16*h**2 - 2386*h - 8. Let l(j) = j**3 + 2*j**2 - j + 1. Let b(z) = -8*l(z) - n(z). Find the second derivative of b(i) wrt i.\nAnswer: 7368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*j + 2*j - h, -5*h = -5*j - 10. Let c(f) = 18*f - 8*f**3 + 1 + 7*f**3 - 19*f. What is c(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213\/133 + -317312\/399. Let z = w + 11846\/15. Calculate the common denominator of 67\/3 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3210854 and -59\/4816281?\nAnswer: 9632562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-2173)\/212)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1324 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119820866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -66 = -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((736\/12)\/(-23)*(-3)\/180)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1452 and -113\/12.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122 - 110011?\nAnswer: -211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 2, b: 1, u: 2, d: 1, a: 1, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 0*b**4 + 2*b**4 + (1729*b**3 + 55636*b - 55636*b)*(2 + 2*b - 2).\nAnswer: 3461*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56405\/6044 or -1?\nAnswer: 56405\/6044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4))**(-17\/5)\/(f\/(f*f*(f\/(f*f*f\/(f\/((f\/(f*f**(-1)))\/f)*f)*f))\/f*f))**(-6\/11))**(-2\/39) assuming f is positive.\nAnswer: f**(-17\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1794\/(-52))\/((-996)\/(-166))?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 17, 36, 63, 98, 141?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19282, -19478, -19662, -19834, -19994?\nAnswer: -20142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a (base 11) to base 7.\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53102887*j - 1747715.\nAnswer: 53102887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-832)\/(-12))\/((-204)\/(-153))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/9213646 and -30\/2480597.\nAnswer: 64495522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/7 + 43318*p\/7 - 2239240 = 0.\nAnswer: -22015, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 75*c**8\/56 - 1115*c**4\/12 - c + 89. Find the third derivative of g(o) wrt o.\nAnswer: 9000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*x**3 + 2 - 372*x**4 + 373*x**4 - 64*x + x**3 - 17*x**3 - 17*x**3 wrt x.\nAnswer: 12*x**2 - 276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 215\/4021 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.5 - -80. Which is the third smallest value? (a) d (b) 0.6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1678698 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**4\/4 - 13*s**3\/3 + 3*s**2 - 15*s + 701. Calculate d(-14).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 50\nAnswer: -123\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 5. Let s(a) = a + 2. Let n(h) = 2*h - 16. Let w(k) = n(k) + 5*s(k). Give 4*u(m) - 3*w(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 5, 0.11, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 458*c**2 + c. Let l be x(1). Let b = 475 - l. Solve -5 = -b*t + 15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 1652.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y*y\/(y\/y**(-1\/2)*y))**(3\/7) assuming y is positive.\nAnswer: y**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (38 + 15 + -4 + -5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 2*y - 3*y**2 + 2*y)*(-26*y - 52*y + 21*y).\nAnswer: 171*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10100111000 (base 2) to base 10\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-6*f**2 + 0*f**4 - 4*f**4 + 5*f**4) to the form y*f + r + p*f**3 + n*f**2 + a*f**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19.7 (b) 11\/4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -78. Let g(b) = -4*b**3 - 6*b**2 + b + 3. Let j(m) = 5*m**3 + 7*m**2 - 2*m - 4. Let x(l) = d*g(l) + 3*j(l). Factor x(i).\nAnswer: -i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*o = 5, -5*o - 7 = -2*g - 3. Let r be 15\/12 + g\/12. Differentiate i**4 - 1 - r + i**4 wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504982 is divided by 102?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 108*s**2 - 251*s - 3404. Determine k(-110).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33664.89 litres in millilitres?\nAnswer: 33664890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456590 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 13*k - 23. Let l be m(-2). Sort 10, -3, l in ascending order.\nAnswer: -3, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*g - 23 - 23, -16 = -2*g - 2*x. Let o = g + -5. Let w be o\/(-5)*(-30)\/(-9). What is the second smallest value in w, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -875, -896, -939, -1016, -1139, -1320, -1571?\n\"Answer: -2*q**3 + q**2 - 10*q - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1 - 18\/(-3). What is the derivative of 7 - 6 - 3*l**3 + t*l**3 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 g when four letters picked without replacement from {g: 3, d: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/4987452 and 21\/4?\nAnswer: 4987452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1212211001111 (base 3) to base 10\nAnswer: -1000228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -27*m - 1. Let l(n) = -406*n + 3. Calculate 6*a(k) + 2*l(k).\nAnswer: -974*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*y - 10, -2 = -5*y + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/24*189\/294?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/33))\/(f**(-1\/13)\/f))\/(f**2)**36 assuming f is positive.\nAnswer: f**(-29971\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-16))\/((-1)\/(-8)). Calculate the common denominator of s\/15 - 239\/(-15) and -37\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69\/13 - -5\/26. Let n(w) be the second derivative of 0 + 27\/2*w**2 + 12*w**3 + 1\/10*w**6 - 2*w + k*w**4 + 6\/5*w**5. Factor n(r).\nAnswer: 3*(r + 1)**2*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 18. Let z be 45\/12 - 1\/l. Suppose z*y - 201 = 163. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n + 17 + 55. Let z be -16*(2 + n) - (-5 + 1). Factor -5*j**3 + j**3 - 28*j**2 + z*j**2 - 4*j.\nAnswer: -4*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 18 - 6. Suppose -d*b + b = -235. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19523989 to the power of 1\/2, to the nearest integer?\nAnswer: 4419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358772.4 rounded to the nearest one thousand?\nAnswer: 1359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 92*w + 11279. Give y(-122).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1126, -2, 0, 2, 5, 1, 19 in descending order.\nAnswer: 1126, 19, 5, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 557\/3 - 469\/3. Let h = -30 + w. Let n be 0 - ((-12)\/5 + 2). What is the closest to h in -5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 126*s**2 - 117*s + 246.\nAnswer: -3*(s - 1)*(s + 2)*(s + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267\/190 - -10343\/3135. Calculate the common denominator of -65\/24 and n.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 136161\/4*i**2 - 369*i.\nAnswer: -(369*i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66*34\/748)\/(1\/(-6))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(1\/4)*s))\/s*s**(-1\/3)*s**(-2\/5)\/(s*s**5\/s*s) assuming s is positive.\nAnswer: s**(-569\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.94, -1, 494, 3, -6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r + 0*r**2 - 1 + 1\/3*r**3. Find b such that i(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242.3 - -232. Let x = w - -10.217. Let d = 0.08261 + x. What is d rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7659, 7522, 7383, 7242, 7099?\n\"Answer: -u**2 - 134*u + 7794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 105, 90, 81, 78, 81, 90?\n\"Answer: 3*p**2 - 24*p + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 - 109.8. Let h = 17.1881 - w. Round h to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 9:49 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 - 6*k - 6. Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**10\/60480 - f**9\/15120 + f**7\/2520 + f**6\/1440 - f**4\/8 + 2*f**2. Let o(v) be the second derivative of m(v). Factor o(x).\nAnswer: -x*(x - 1)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y + 5. Let l(k) be the first derivative of k**2 - 2*k + 73. Let g(s) = -8*l(s) - 3*t(s). Suppose 0 = -2*c - 5 + 3. Determine g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {g: 2, f: 2, j: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 294 = 4*a, 4*j - 114 - 162 = 7*a. Calculate the remainder when 259 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 7)*(-b - 4 + 3*b + 2).\nAnswer: 8*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.058 times 4\nAnswer: -0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 60 - 19. Suppose -4*h = a + 57. Let l = h + 48. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8\/a**(-4\/3))\/(a**(-2)*a)**(-32))**46 assuming a is positive.\nAnswer: a**(-3128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*o + 3, 4*o = 3*x - 4*x - 4. Factor 0*h + 0*h**2 - h**4 + x*h**3 + 3\/2*h**5 + 0.\nAnswer: h**4*(3*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 5*w + 6. Let x be 19\/6 + 2\/(-12). Suppose -u - x + 11 = 0. Calculate the remainder when k(u) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-5))\/(-4) - (-34)\/(-10). Let c be 22\/26 - v\/26. Suppose 59 = g + c. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4702 - 4756. Suppose 4*g = h - 15, -2*h - g - 9 = 4*g. Suppose -4*y + x - 221 = 0, 4*x + 105 = -h*y - 56. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 < -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/4)*c))**(-4))**(1\/40) assuming c is positive.\nAnswer: c**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 15*c**2 + 2*c + 22. Let h be z(-15). Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) -9 (d) 8.267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329903421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 - 5 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 11*i + 14. Let l be w(-4). Let t = -4 + 8. Suppose t*c = -c + l. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 - 8*u. Let s be n(-1). Factor 429*t**3 - s*t**4 + 7 + 2*t - 6*t**2 - 439*t**3 - 5.\nAnswer: -2*(t + 1)**3*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -88.05. Let m = 30.05 - 30. Let j = t + m. Is j >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 170*z + 494. Calculate u(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772839 (base 10) in base 15?\nAnswer: -39b8ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 + 7*s**4\/12 - 20*s**3\/3 + 155*s**2. Give m(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566 - 287 - 51*q**3 - 279.\nAnswer: -51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 10. Suppose 5*z - 45 = -4*q, -4*q - z + w + 9 = 0. Find the second derivative of p**3 + 6*p**3 - 7*p**3 + p**q + 8*p wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 31*v**3 - 11*v**2 - 30*v**3)*(-2*v**2 - 5*v + 5*v) + (5*v**3 + 3*v**3 - 2*v**3)*(-2*v + 2*v + v**2).\nAnswer: 4*v**5 + 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.37154 rounded to the nearest integer?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*(-120)\/(-64)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 0*i + 5*i - i - 2450001*i**2. Let p be w(2). Round p to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-12) - 93\/186. Let n(w) be the second derivative of 0*w**3 - 1\/10*w**5 - o*w**4 + 0 + 0*w**2 + w. Find the third derivative of n(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 21*n + 2. Calculate r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*l = -4, l = -25*w + 30*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + 3*m**2)*(3 + 3924*m - 1 + 6106*m - 5 + 3).\nAnswer: 30090*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 273*n - 231*n - 42. What is the third smallest value in -4, -1.2, n, 1\/3, -2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*q - 66*q + 1143. Calculate the remainder when q is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (147\/42)\/(20\/(-160)) - (0 - (-6)\/1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 + 25 = 0. Suppose 3*b - 7 = 2*g, -3*b = -b - 5*g + x. Suppose 10*j - b*j = 5. Solve -k + 5*v - 1 = 5, -3*v - j = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101499 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36.8 (b) 3\/25 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -119935 (base 10) to base 5\nAnswer: -12314220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g\/((g*(g*g**(-2\/3))\/g)\/g)*g))\/g**(-11\/3))\/(g**(-1\/3)*g\/(g\/(g*g**6*g))))**(6\/7) assuming g is positive.\nAnswer: g**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 2*a**2 - 4*a + 3. Suppose 0 = -2*b - 5*q + 6, 4*b - 11 - 1 = -4*q. Suppose 3*l + i - 4 = -b*i, 3*l - 2 = -5*i. Is p(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 29*s + 3. Let a(q) = q**2 - 10*q - 1. Let r(j) = -4*j - 24. Let p be r(-7). Let t(w) = p*o(w) + 11*a(w). What is t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269044?\nAnswer: 2, 13, 53, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2, 23 in ascending order.\nAnswer: 2, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2 - 4)*(-14 + 11730\/(-1305) + 23)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + o = -3, -7 = -4*t - 5*o + 6. Let k be t*3\/12*10. Suppose -9*m = 5 - k. Solve n - 2*n - 3 = m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - z, -4*z + 49 = 4*m + z. Suppose -303 = m*x - 315. What is the biggest value in x, 7\/3, 0.1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3\/5 (b) 0 (c) 0.03 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -25. Suppose -h = -2*t, -3*w = 6*t - 3*t - 27. Let x(m) = w*m + m - 3*m. Let n(g) = 11*g. Calculate x(n(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1320, -2124, -2872, -3534, -4080, -4480?\n\"Answer: 5*d**3 - 2*d**2 - 833*d - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7*y = -6*y - 5998, -5*f = -2*y - 7491. List the prime factors of f.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 8. Let i = 161 + -50. Let q = 125 - i. What is the smallest common multiple of q and w(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 1344 = -9*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 8. Suppose 0 = -z - 12 + 15. Suppose 0 = -y - z + 11. Solve 0*j - k*j + y = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/98113 - -7745689\/57101766. Calculate the common denominator of 31\/970 and v.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59\/(-2*(-3)\/30).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 12. Determine r(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45767, 45757, 45741, 45719, 45691, 45657, 45617?\n\"Answer: -3*y**2 - y + 45771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000080704 to 7 decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - y + 13, -16 = 4*q + y - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*d + 6, 2 = -0*d - 2*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16968 + -16968.1. Which is the closest to 1? (a) 2 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -46 (b) -8 (c) -2 (d) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -580*t - 607 + 607 + (33 - 22 + 34)*(0*t + 0*t - 3*t) as s + k*t and give k.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 782500 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-300906)\/14. Let d = 21336 + -34029. Let z = s + d. Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 5*s - 73. Let x be m(7). Let c(a) = 32*a - 1. Let q be c(2). Suppose 61*u = x*u + q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by 532397\nAnswer: 173\/532397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4632477 - 3\nAnswer: 4632474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4824 - -26268. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1\/12, -9, 0.1, 93, 0 in increasing order.\nAnswer: -45, -9, 0, 1\/12, 0.1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k = -118 + 78. Do k and -4665 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2178, 4315, 6426, 8505, 10546?\n\"Answer: -f**3 - 7*f**2 + 2165*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 3*s**4 - 4*s**3\/3 + 11*s**2\/2 + 20*s. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/13500*(-10)\/8. Let k(f) be the second derivative of -1\/72*f**4 + 0*f**3 + 0*f**2 + 21*f + 0 + p*f**5. Factor k(w).\nAnswer: w**2*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*n = 2*w - 9, 5*w = -4*n - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1040107 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 8. Let q be f(6). Let w = 5.02 - 0.02. Let s = w - 1. Which is the closest to 1\/4? (a) 0.5 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*z - 271*z = 402. Let w be 3\/(9\/14)*3. Let f = z - w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) + 3 + (sqrt(242) - sqrt(242)*-1))*-1)**2 - (-2*sqrt(242)*4 + -2)**2)*-2.\nAnswer: 308*sqrt(2) + 26610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66248 or -529983\/8?\nAnswer: -529983\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 38*u**3 + 4*u**2 + 6*u + 4. Let w be v(-2). Let i = 301 + w. Solve i*o - 2*o - r + 4 = 0, 2*o + 11 = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/2 + 16*v**2 + 61*v\/2 + 15 = 0 for v.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113213 + -2?\nAnswer: 2113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usjsfhrfujfffsj. What is prob of sequence jssj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/9 (c) -0.4 (d) 53241 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 30\/45*-54*(-9)\/12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155, -319, -485, -653, -823, -995?\n\"Answer: -j**2 - 161*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 6. Suppose 5*w = -2*f + 7, -5*f - 8 + 35 = 3*w. Let j be h(f). Let q be ((-9)\/j)\/((-1)\/14). What is the highest common divisor of 63 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291511289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = r + 7, 5*r + 0*i = -i + 10. Solve 0 = -r*u - 5*x - 11, -9 = 2*u - 2*x - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19649364 to the nearest integer?\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 10*v + 108 = 0. Let d(i) = 6*i**2 - 3*i. Let z be (-9)\/(-6) - 2\/(-4). Let b be d(z). What is the greatest common factor of b and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.82 or -0.1384678?\nAnswer: -3.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2382 times -439\nAnswer: -1045698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 1:01 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 12087.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16079\/2 + -8038. Which is the nearest to 1\/3? (a) -0.01 (b) -0.4 (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 7, j: 2}. What is prob of picking 1 j, 1 c, and 1 d?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -4*o**5\/5 + 4*o**4 - 16*o**3\/3 + 44. Factor c(g).\nAnswer: -4*g**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 8*t**2 - 8*t + 26. Determine m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 + 11 + -1. Let p be (4\/(-6))\/((-3)\/h). Let b(x) be the first derivative of x**3\/3 + 1. Calculate b(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 115.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-483)\/42*(-4 + 4 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.2 + 35. Let o(c) = -2*c - 1. Let f be o(-2). Suppose 0*v - f = -v. What is the closest to p in v, 0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**9*z*z*z*z**(-1)*(z\/z**(2\/5))**48 assuming z is positive.\nAnswer: z**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 185*k + 52. What is o(62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*l - 125*l - 230*l - 52591 = 0 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-14))\/(215\/35 + -6). Let t = 330 + g. What are the prime factors of t?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 798630706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4991*x = 5137*x - 3358 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 2, d: 1, q: 1, b: 1, e: 2}. What is prob of sequence db?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280\/57 + -68\/19. Let k(q) be the first derivative of -p*q**2 + 5 - 8\/9*q + 10\/9*q**3 - 2\/9*q**4. Factor k(z).\nAnswer: -2*(z - 2)**2*(4*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 12*(-8)\/36. Let x(p) be the second derivative of 1\/2*p**2 + 0 - p + u*p**3. Give x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p + 73060 = -534*p + 8432 for p.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**2*y**2 - 1441*m**2 - 1049*m*y**2 + 32*y**2 wrt m.\nAnswer: 28*y**2 - 2882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 6. Suppose 5*b + 118 = -q, 0 = 4*q - 2*q - 4*b + 166. Let c = q + 165. What is the highest common divisor of c and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, e: 1, w: 1, k: 2, j: 1}. Give prob of picking 1 w, 1 i, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + 0*b)*(-1 + 4 - 1)*(0 + 0 + 2)*(2 - 3 + 2)*(-46 - 37 - 5)*(2*b - 2*b + 2*b**2)*(-1 + 1 + b**2).\nAnswer: -704*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 411 - 11. Calculate the remainder when g is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2010 by -402.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -193*f**2 + 62*f**2 + 62*f**2 + 70*f**2. Let y(q) = -338*q**2. Determine y(s(o)).\nAnswer: -338*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 - -17)) + 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -1.074. Let p = 0.1518 - o. Round p to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -302*d + 61. Is z(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.1505 litres to millilitres.\nAnswer: 109150.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51343534 (base 8) in base 7?\nAnswer: -161226600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172796003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g - 10 = -39 - 7. Let t(o) = -35*o**2 - 3*o + 1. Calculate t(g).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -51, -68, -85, -102, -119?\n\"Answer: -17*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.3 - 48.300000229. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 3811*s + 8*s**3 - 3811*s.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c + 86. Calculate x(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 60\/228*(-950)\/150\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 711237143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqvqqvqvqqqqqq. What is prob of picking 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -12*p**5\/5 + 327*p**4\/5 - 69*p**3\/5 - 327*p**2\/5 + 81*p\/5 = 0.\nAnswer: -1, 0, 1\/4, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 13412274?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 44 = 2*z, 263*t - 258*t + 3*z - 77 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + sqrt(84)\/sqrt(3))\/sqrt(7))\/((sqrt(16) + sqrt(4))\/sqrt(2)) + -5)**2.\nAnswer: -20*sqrt(2)\/3 + 233\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 - 9*z**3 - 10*z + 7 wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/491050 and 139\/10350.\nAnswer: 4419450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.499 and -32.607717.\nAnswer: -32.108717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*x - 486*x = 0. Is -2\/383 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239736 by -7.\nAnswer: -34248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912 (base 14) to base 16.\nAnswer: 6f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f - 17. Let a(b) = 3*b - 4. Suppose -1361 = 6*l + 757. Let r = -351 - l. Determine r*p(h) - 9*a(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 136713356, 136713355, 136713354, 136713353, 136713352?\n\"Answer: -s + 136713357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 17*i**2. Calculate f(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 261 + -257. Sort -2, 5, 11, o.\nAnswer: -2, o, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:17 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70\/5*(-11932)\/(-133) and 1099.\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1538*x = -1540*x + 2246. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8968470 divided by -4\nAnswer: -4484235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3005*k - 1. Let f be o(1). Let p = -6634 - f. Is (p\/(-12))\/(5\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5854881 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -399.885308 to zero dps.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/573930 and 77\/327960?\nAnswer: 2295720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m - 52*m = 42. Solve 62 = m*j + 77 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 0*s. Suppose 3*i = -2*n - s*n + 27, -5*i - 15 = 0. Let d = n - 5. Sort -4, d, -2 in descending order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - k + 5. Let j be g(-8). Let d = j - -4. Let u = -27 - d. Calculate the smallest common multiple of u and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -52. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n + 60. Let i = -26 + 15. Let l = i - n. Sort l, 3, -5 in decreasing order.\nAnswer: l, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (4 - (-11 + 10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 - 34*m - 60. Let k be b(17). Suppose -10*l - k = -14*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r**3 + 1197 - 1358 + 6*r**3 - 2*r)*(2*r + 2*r - 3*r) to f + o*r + q*r**2 + i*r**4 + g*r**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 734*c = 729*c - 55, 0 = -4*s + c - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -2.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.93212421 to 2 decimal places.\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 820 and 7995.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1131 - -404?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 70, 161, 288, 451, 650, 885?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 14*u**2 + 29*u + 43. Let w be c(16). Let i be (2\/(-6) + 2)\/(17\/51). Let m(n) = n + 3. Let a be m(-4). Sort 4, i, a, w in decreasing order.\nAnswer: i, 4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12 = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.142 + 114.142. What is the smallest value in 4, 1\/10, b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 77 = 3*g, 167 = 5*d + g - 2*g. Let k = d + -6. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 430\/(-301)*14\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10682 and 2842.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 7*a**2 + a - 9. Let c be s(7). Suppose -9 = -2*w - w. Suppose 12 = 4*m + 4*g, 2*m + 3*g - 8 = -0. Put m, w, c in decreasing order.\nAnswer: w, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rssg when four letters picked without replacement from sggssgggrgrg?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 11*p**3 - 745. Let q(g) = -4*g**2 - 102*g + 51*g + 51*g. Determine u(q(i)).\nAnswer: 528*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-249)\/913 - 3\/(132\/692).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/48 + 210\/560?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 3*v**2 + 2*v - 1. Let n be j(-4). Let d(q) = -2*q - 2*q + n*q - 2*q. Suppose -3*a = -0*a + 9. Calculate d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*j = -h - 17508, 2*h - 11660 = -j. Suppose 27*b + 1728 = h. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 3*t + 2. Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 5, -4\/9, -13\/41, -1.5, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 32 = -4*w. Let t = w - -14. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2934 divided by -18.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.842? (a) -39 (b) 0.01 (c) 5 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-168)\/36)*((-2)\/1)\/(-42)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, 2.6, 0.5, 5\/2, -7\/116 in descending order.\nAnswer: 3.5, 2.6, 5\/2, 0.5, -7\/116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1821240, 3642724, 5464210, 7285698, 9107188?\nAnswer: 10928680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.4474 - -0.7874. Let p = t + -1.34. Let k = p - -71.077. Round k to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 - 2*w - 1. Let g(i) = 194*i**3 + 4*i**2 + 22*i + 11. What is -2*g(p) - 22*h(p)?\nAnswer: -520*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1088)*-17*(-10 + 22)*-14*2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9659, 9825, 9995, 10169, 10347?\n\"Answer: 2*t**2 + 160*t + 9497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/202 in 2\/9, -2, -9\/50, 4, -1\/2?\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from xtxtxxtx?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((-17 - 31) + 100).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 1. Let f(a) = -6*a - 14. Calculate -f(g) + 4*u(g).\nAnswer: -2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*w - 5, -x + 2 - 5 = -3*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62310 is divided by 10374?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 23*z**2 + 22*z - 18. Calculate f(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94958 is divided by 688.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (-3 + -2*sqrt(7))**2.\nAnswer: 30 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 + 32)*(5*d**2 + 0*d**2 - 3*d**2) + (6482*d - 6482*d + 12*d**2)*(3 - 1 - 4).\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 13363.157131.\nAnswer: 13377.157131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let h be (-24)\/4*(-2)\/i. Suppose -41 = -5*p + h*f, 3*p - 7 = f + 12. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1181.9 - -1182. Is j greater than -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187)*2 + sqrt(187))*5)\/(sqrt(44) - (sqrt(44) + 2*sqrt(44))))**2 - ((-1*sqrt(833))**2 + -1 + ((-1 + sqrt(833))*5)**2 + sqrt(833)).\nAnswer: -21257 + 343*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003045437 rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 89, 190, 337, 536, 793, 1114?\n\"Answer: l**3 + 14*l**2 + 12*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - 0) + -9 + 22 - (2 + 12)) + 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 220*h + 383*h + 45600 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6*j = j + 140, -2*x + 5*j = -180. Let c(v) = 8*v - 32. Let g be c(6). What is the greatest common divisor of g and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -r + 11, -20*k - 17 = -9*r - 24*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 6\/7*z**4 + 36\/7*z - 4\/7*z**3 - 54\/7*z**2 + 0 = 0.\nAnswer: -3, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3311223*q**4 - 4*q**3 + 618886*q**2 - 32*q wrt q?\nAnswer: -79469352*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*d + 189 - 189 in the form p*d + z and give p.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3 - 7. Let n = -4 - -13. Let v be 0\/((-3)\/(n\/(-6))). Put p, v, 2 in ascending order.\nAnswer: p, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 101 - 7*g)*(3*g**3 + g**3 - 6*g**3).\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, y: 10, i: 1}. Give prob of sequence iv.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/74 and 29\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3*p**3 - 2*c**3*p - 5*c**3 + c**2*p - 5720*p**4 + 1028*p wrt p?\nAnswer: 24*c**3*p - 68640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsc when three letters picked without replacement from rgrocosorrggro?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.44878ug to grams.\nAnswer: 0.00008044878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 3 + 5*a**2 - 2*a**2 - 6*a**2 + 0*a**2 + 10*a**2 to q*a + i*a**2 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278173027 to the power of 1\/2, to the nearest integer?\nAnswer: 47730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgzgrzzgvrggvgg. What is prob of sequence gr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 48*d - 24. Let c(g) = -g + 1. Let q(h) = 3*b(h) + 72*c(h). Let s(n) be the second derivative of -n**3\/3 + 13*n. Determine s(q(r)).\nAnswer: -144*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 17*s**2 + 20*s + 25. What is o(15)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 + r + 1092137. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 910*s**2 - 14*s + 6. Let v(t) = -455*t**2 + 6*t - 4. Let o(p) = -4*k(p) - 7*v(p). Find the second derivative of o(u) wrt u.\nAnswer: -910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**3 - 2*f. Let i(x) = 11*x**3 + 3*x. Give 2*i(g) + 3*m(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*j**5 + 88*j**4 - 25*j**3 + 8176887*j**2.\nAnswer: -2820*j**2 + 2112*j - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 8*i + 441. Calculate the least common multiple of z(9) and 175.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 410. Let j = -100 - x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4022342.\nAnswer: 2, 2011171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -4. What is the nearest to -1 in g, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*j**3 - j**2 + 4*j + 3*j**2 + 7*j**3 = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - z - 3*z - 327 = 0, 4*z = -12. Let i be ((-420)\/a)\/(2\/9). Let j = -27 + i. Solve -j*w - 5 = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/((-4)\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 468021 - 468023 + 5*o - 2*o + 3*o**2 + 2*o + o**3 to the form r*o + v + n*o**3 + y*o**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*p**2 + 221 - 109 - 52*p + 393*p**2 - 113 wrt p?\nAnswer: 538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.1 - 2.9. Let r = -127 - -87. Let d = t - r. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -10111220?\nAnswer: 10111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17911382 to the power of 1\/2, to the nearest integer?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -17, -40, -71?\n\"Answer: -4*b**2 - 3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 0.023, -0.1, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + f**3 + 4)*(-7 + 1 + 3).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c + 3*v - 4*v, -3*c + v = -15. Solve -c*j + 3*t = -10, t = 5*j - j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let m(s) = -s**2 - s - 3. Let f be m(0). Let l be q(f). Does 5 divide (-27)\/(-6) - l\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/59 - -63\/236. Let r = 16.3 + -17. Let t = 1.3 - r. What is the biggest value in g, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 88792?\nAnswer: -88791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5047 is divided by 2488?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72774, -72786, -72810, -72852, -72918?\n\"Answer: -z**3 - 5*z - 72768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 30. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26323555*d + 51206339.\nAnswer: 26323555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**2 + z + 1. Let a be m(1). Let w be (-4 - a)*2 + -1. Let d(t) = -10 + w*t + 10. Let n(v) = -2*v**2. Determine d(n(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*x - 8. Suppose -4*a = 4*y, 1 = 2*a - x*y - 4. Calculate the smallest common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -560*a**3 + 20*a**4 - 54880*a + 7840*a**2 + 153664 - 2\/7*a**5 = 0. Calculate a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521127*u = 521164*u + 1406 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13 and -915.0546.\nAnswer: -914.9246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002394 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l + 1. Let g(k) be the third derivative of -k**4\/24 + 3*k**2. Let d(s) = 6*g(s) - i(s). Calculate the remainder when 7 is divided by d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = -o + 11, 5*o - 5*w = 15. Solve a + 4*x = 6*a - 37, -o*x = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 520802432?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13593, -13594, -13595, -13596, -13597, -13598?\n\"Answer: -d - 13592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3. Let d(u) = u + 4. Let w(s) = -3*d(s) - 4*i(s). Let c be (-6)\/(-4)*40\/(-12). Let o = -9 - c. What is w(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313813.\nAnswer: 31, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -326*w**2 - 232*w**2 + 3659 + 2*w + 16 + 790*w**2 wrt w?\nAnswer: 464*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/2)\/((-6)\/4 - -1). Suppose -h*g = 5*a - 85, -5*a + 4*a = -g - 13. Let u be (-66)\/a + 4 + 1844\/10. What is the greatest common factor of u and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (285\/4)\/(-3) + 1 and 23\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/108 and -89\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -88*q**3 + 80*q**2 + 23*q + 10. Let x(d) = -35*d**3 + 32*d**2 + 9*d + 4. Determine 5*t(c) - 13*x(c).\nAnswer: 15*c**3 - 16*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*z + 13 - 3, 0 = 3*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 81*z - 7906. What is g(-47)?\nAnswer: -1890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*s - 16 = 0, -4*u - s = -6*u - 8. Let b(t) = t**2 + 6*t + 3. What is b(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*c - s, -3*c - 5 = c + 3*s. Let x be c*(-12 - -3) - -31. Solve -4*i + x = 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.163*-34143.6.\nAnswer: 5565.4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 48*g + g**2 + 1240*g - 3 - 1 to d*g + o + k*g**2 and give d.\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (-3 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -56. Suppose 8*k + w = -0*k. What is the units digit of (-12)\/k*(-2)\/(-4) + 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229\/530 + 67\/106. Let m = 3 + -2.9. Let s = 8 + -7.7. Which is the third smallest value? (a) m (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 2*o**4 + o**4 + 1 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-6)\/(-2)) + 3. Let s(m) = 1311*m**2 - 6*m + 5. Let c be s(q). Suppose 0 = 2*j - c - 264. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 5. Let o(t) = -1008*t. Give h(o(v)).\nAnswer: -1008*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -565\/9. Let w = -54.8425 + 54.8. Let s = w + 0.0425. Which is the nearest to s? (a) -1 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5*y - 1556*d**4*y + d**2*y + d**2 + 23*d*y - 6*d wrt d?\nAnswer: -60*d**2*y - 37344*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -9, 8, -2\/3 in descending order.\nAnswer: 8, -0.4, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 1643*p**2 + 805475*p + 101445625.\nAnswer: (p + 193)*(p + 725)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0123443 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 8. Let f(j) = j**2 - 3. Let t(q) = -8*f(q) + 3*o(q). Let g(r) = -23*r - 22*r + 43*r. Calculate g(t(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*y = 339*y - 92 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 20 = -3*u. Suppose f = u - 2. What is the first derivative of f - 2*p**4 + 2*p**4 + 2*p**4 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8084 is divided by 1347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 21*k**2 - 30*k - 137. Determine t(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 110\/14)*(-140)\/4. What is the greatest common factor of 40 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(171)\/(-4*-2*sqrt(9)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 2428948.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6846452.354 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 691\/63 - 76\/7. What is the second biggest value in -0.5, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 4*o**2 + 2*o + 2. Let w be s(2). Let q = w - -31. Let i = -3 - -8. What is the remainder when q is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 10*y + 0*y. Let d(s) = s + 3. Let v be d(7). Let p(j) = -9*j - 3*j + v*j. What is a(p(l))?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n - 10570*n**2 - 7*n**3 + 5286*n**2 + 5285*n**2 as h*n**2 + m*n + l*n**3 + z and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083681431 - -1438.8.\nAnswer: 1438.883681431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:04 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 47. Let u(t) = t**2 + 1. Let o(r) = -5*r**2 - 6. Determine g*o(q) - 6*u(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 4*p + 2 - 15, -4*p + 19 = 284*b - 287*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -7)*((-114)\/10 - -5). Suppose 3 = -i*y + 33*y. Suppose 0 = -2*r + 8, -2*r + 239 = y*x. What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*z - 20, 5*z = 9*a - 12*a + 34. What is the smallest common multiple of 21 and z?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/180 - x**5\/120 + 59*x**4\/8 - 111*x**2. Let b(p) be the second derivative of u(p). Give b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 9:28 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from jajcam?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3063, 3067, 3071?\n\"Answer: 4*y + 3059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 15*t - 20)*(-3*t + t + 3*t + (0*t + 0*t - 2*t)*(-5 + 1 + 2) + 1 + t - 1).\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xtxxtxtx.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 15. What is the smallest value in 2\/7, 2, n, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**6\/30 - 5*a**4\/3 + 9*a - 5. Let h(m) be the first derivative of g(m). What is the third derivative of h(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:20 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(84)*1)\/sqrt(7)) + 2 + (sqrt(5) + -1)**2 + 0.\nAnswer: -sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1767330 - -2693330. What is q rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.5. Let i = 1558 - 1562. Which is the biggest value? (a) i (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(114)*-3)\/(sqrt(6) + sqrt(30)\/sqrt(80)).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/7)\/(45\/(-210)). What is the third derivative of x**2 + 2*x**2 - l*x**5 + 19*x**5 - 2*x**2 wrt x?\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*m - 11 - 7 - 8 - 9 + 29 - m**2 as o*m**2 + u*m + z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and -0.6.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -19 + 3 + 0 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let b = 3 - 2. Let x(p) = -2*p**2 + p + 1. Let i(n) = b*x(n) - m(n). Let a(y) = -y**2. Determine i(a(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from wwwwuwwwuwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -1306, -176, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 27 - (0 - (1 + -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*x - 2, -2*q + x - 16 = 6*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1259\/18 - 70. What is the common denominator of 61\/60 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -19) + 0 + 12 - (69 - (13 - -91)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61912 divided by 142\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -36052\/2587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 16*k**2. Let w be (2 - 6)\/(2*-1). Let z(r) = w*r - 2*r - 2*r + 0*r. Calculate t(z(d)).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111042.84 - 0.2\nAnswer: 111042.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c - 7*c - 13*c.\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 63*t**3 + 348*t**2 + 288*t.\nAnswer: 3*t*(t + 1)*(t + 8)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14089215*y + 43720257 wrt y?\nAnswer: 14089215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1738 and 10?\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020 is divided by 255.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:23 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 13*g + 255. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r + 2. Let n be q(-7). Suppose 5*a + 4 = n. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 2755*u**2\/3 - 630200*u - 3174000.\nAnswer: -(u - 1380)**2*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -6*j + 504. Suppose 0*g = g - 4. Calculate the smallest common multiple of g and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/(279300\/(-720)))\/(32\/(-112))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.178 and 6.014204?\nAnswer: -1.070528312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 230*o + 1. Let i(f) = 3*f. Let q(v) = 3*i(v) - s(v). Let j(d) = 2*d. Determine j(q(t)).\nAnswer: -442*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795335 is divided by 1161.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 16?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001488 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332.576 + 330. Let u = 1.59 + z. Let i = u + 0.986866. Round i to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - q)*(-3*q**3 + 3*q**3 + 2*q**3)*(-22 - 69 - 23) to the form h + b*q**4 + c*q**2 + y*q + p*q**3 and give b.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = u + 1, -2*x + 2 - 29 + 40 = 3*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -6155\/2, 716\/3.\nAnswer: -6155\/2, -1\/11, 716\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 10*w**2 - 4*w + 12. Let x be f(9). Let a = 65 - x. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k + 35*k**3 + 6*k + 107 + 14*k**3 + 51 - 3*k wrt k?\nAnswer: 147*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 550\/3282 + (-1)\/6. Let y = c - 18874\/2735. Let d = -4227\/590 + 51\/59. Calculate the common denominator of y and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 13. What is the second biggest value in h, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84664*r**3 - 169163*r**3 + 84493*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-21) - ((-237)\/2212 - 2\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*j + h, 3*h + 11 = -j - 2*h. List the prime factors of j\/(-8)*(2 + 0) + 712.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*r - 64 = r, 2*r - 50 = 2*t. Let z = t + 29. What is the highest common divisor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-88)\/20 - -5 - 4782\/(-5)?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 3*v**5\/25 + 9*v**4\/10 - 48*v**3\/5 + 111*v**2\/5 - 99*v\/5 + 2968. Solve z(n) = 0 for n.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5483 is divided by 2391?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = n + 3, -p + 5*n = -21 - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 234\/7? (a) 3 (b) -4 (c) -2 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.018 and -0.0124.\nAnswer: -0.0002232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 2*u - 1115*u**2 + 1112*u**2 + 0*u. Let g(n) = 4 - 4 + 9*n**2. Calculate f(g(i)).\nAnswer: -243*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 5*k**2 - 2. Let y be p(-5). Let v(n) = 208*n + 1. Let x be v(1). Suppose -3*f + 3*b - x = 49, 3*f = b - y. Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1900)*-1)*6 - (0 + -4 + sqrt(19) - 2*(-2 + sqrt(19))**2)) + -2.\nAnswer: -69*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 37. Let x(h) = h**3 + h**2 - h - 36. Give 3*q(w) - 2*x(w).\nAnswer: -2*w**3 + w**2 + 2*w - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let x(u) = -2*u + 1. Let y(p) = -4*g(p) - x(p). Suppose 5*k + 5*d + 12 = -13, -4*k = 2*d + 10. Suppose 0 = -k*m + 4*m - 4. Determine y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*o + 7*o + 50*o)*(-o**4 + 2*o**4 - 3*o**4) + 2*o**5 + o**4 - o**4 + (-4*o**2 + o**2 + o**2)*(-2*o**3 + 3*o - 3*o).\nAnswer: -50*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:33 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -24, -42, -56?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 12. What is the derivative of -7*z**2 - b*z + 2*z**2 + 2*z + 3 wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1880.405.\nAnswer: 564.1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 44830 = 45090. What is the lowest common multiple of k and 3644?\nAnswer: 18220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 30212219.\nAnswer: -5\/30212219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 36*v + 9. Determine n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**5 + q**5 + 0*q**5)*(0 + 3 - 1)*(2 + 3 - 4)*(0 + 5 - 3).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841094001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540001 - 5?\nAnswer: 535552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4471343106303 and 0.05?\nAnswer: 4471343106303.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/15 + (-54)\/90. Solve -2*w - 4*p + 44 - 16 = i, 2*p = -2*w + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 644 and 5652724.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 724 + -421. List the prime factors of b.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z - 4 = 0, -2*z = 2*a - 6. Sort 3, 4, a in ascending order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2510123 (base 9) to base 16\nAnswer: -14d336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62126, 62267, 62496, 62807, 63194, 63651?\n\"Answer: -i**3 + 50*i**2 - 2*i + 62079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (19 + -6 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1) - 11) + -6 + 10. Let v(w) = 6*w**2 + 33*w + 12. Let f be v(u). Let c = f + -4. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7785 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 49 = 4*g. Solve -b - 4 = 0, g*q = 3*q - 5*b - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 47.2569849?\nAnswer: -47.3269849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n - 1. Let j be (-56)\/26 - 8\/(-52). Let x(r) = -r**3 - 2*r + 2. What is j*x(l) - 4*z(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - f)*((2 + 1 - 1)*(1 - 5 + 2) + 3 - 5 + 3 + (3 - 2 + 2)*(280 + 590 + 58 + 178)).\nAnswer: 3315*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*1)\/((-216)\/936). Solve -4*a - 3*p - h = 0, 3*a - 3*p - 3 = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**5 + 10*r**4 + 400*r**2 + 4416196*r.\nAnswer: -60*r**3 + 120*r**2 + 800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 24. Give t(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -6*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*h - 110 = 0, 5*w + 0*h - 131 = 2*h. Let t = w - 22. Find the third derivative of -8*v**t - 25*v**3 - 4*v**2 + 2*v**2 + 5*v**2 wrt v.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 4*q + (-2 + 0 + 1)*(2*q - 2*q + 2*q) + 2 + q - 2 - 2 - q + 2 + 4 + 2*q - 4)*(-7 - 9 + 0).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 40. Calculate the least common multiple of h and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 8\/12)*6. Suppose -87 = -c*u + u + 4*y, u = 3*y + 82. Factor 9*w**4 - 3*w**3 + 46*w - 64 - 302*w + 19*w**4 - 96*w**2 + u*w**3.\nAnswer: 4*(w - 2)*(w + 2)**2*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 645\/25 + (-2)\/(-10). Let s = -16 + u. 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 v(d) be the third derivative of -39*d**2 + 1\/2*d**3 + 0*d + 0 + 7\/24*d**4. Give v(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 149001933, 298003868, 447005803, 596007738, 745009673, 894011608?\n\"Answer: 149001935*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + h = -269467, 4*g - 3*g - 3*h = 53899. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**(1\/45)\/(a**(4\/7)\/a**(-1\/16)) assuming a is positive.\nAnswer: a**(-16199\/25200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1806 - 2850. Let l be (-8)\/(-6) - b\/432. Determine r so that 0 - 3\/2*r - 9*r**3 + l*r**4 + 27\/4*r**2 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/10 - 2*a**2 + 17*a\/10 + 19\/5 = 0. What is a?\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2347 - -1507. Let i = 840.1 + u. What is the biggest value in -1, 1.1, i, -0.3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 + 183*s**2\/2 + 1800*s + 11232.\nAnswer: 3*(s + 13)*(s + 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -116. Let h be o*-2*1\/(-3). Let f(d) = -d**2 - 5*d + 2. Let r be f(h). Solve r*t = 6*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i**2 - 2*i**2 + i**2. Let h(p) be the third derivative of 133*p**5\/60 - p**4\/12 + 1103*p**2 + 2*p. Determine h(a(b)).\nAnswer: 133*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 263556 and 58568?\nAnswer: 527112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1080, 4365, 9840, 17505, 27360?\n\"Answer: 1095*c**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-432)\/(-14))\/((-2)\/(-14)). Let o = w + -128. Let v = o - 23. What is the highest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 2 + -7 + 10)\/1. Which is greater: q or -1\/75?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x - 20*x - 11*x in the form g*x + r and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 204. Let o be 5 - (-2 - (2 + -2)). Let l(n) = 6*n - 8. Let d be l(o). Calculate the greatest common divisor of d and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -855059, -3420360, -7695897, -13681670?\n\"Answer: -855118*m**2 + 53*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 225\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18199?\nAnswer: 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 8*z - 3*z**3 + 0*z**3 - z**3 as u*z**3 + t + g*z**2 + l*z and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -10. Suppose 2*g + 3*z - 1 = j, 3*g = 3*z - 12. Let w = 192791 + -192789. Solve -w*d + 4 + 2 = g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(847))**2 + -1 + 3.\nAnswer: -154*sqrt(7) + 898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 5, 0.3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/23)\/w*w*w**(1\/4))\/(w\/(w**2\/w))**(-1\/19) assuming w is positive.\nAnswer: w**(31\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5853 is divided by 117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47096*n**3 - 232*n**4 + 0*n + 2\/7*n**5 + 0 + 0*n**2.\nAnswer: 2*n**3*(n - 406)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -613 + 5531\/9. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0285 and -22424703.\nAnswer: -22424703.0285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 81. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 3. Let i = 2 + t. Let z = -18.1 + 23.1. Which is the nearest to i? (a) z (b) 4\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewb when three letters picked without replacement from {m: 1, e: 2, o: 1, q: 3, w: 4, b: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*o = -105*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((4*sqrt(60)*2)\/(sqrt(1440)*1 + sqrt(1440)))\/(sqrt(18)\/sqrt(6)*-4 + sqrt(3) + sqrt(432)\/sqrt(9)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1928)\/14 + 76\/28 + -3. Let k = g - -208. Suppose k = 2*x + 2. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Suppose 0 = -j*v - 86 + 856. Calculate the greatest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13221, 55036, 125449, 224454, 352045, 508216, 692961?\nAnswer: 906274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113000 divided by 250?\nAnswer: -4452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17975 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(14\/9))\/(h*h**(1\/18)\/h) assuming h is positive.\nAnswer: h**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 5806548.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose -f - 2*f + 0*f**p + 3*f**3 + 0*f**3 - 9*f**4 + 9*f**2 = 0. What is f?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + 66\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47161969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 68, 102, 136, 170, 204?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23*o - 2. Determine i(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111110110101 - 1000110110010?\nAnswer: 1011111000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 101*w + 11*w.\nAnswer: 91*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24110044 - -100120?\nAnswer: 24210214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, -10, -4, 5224 in decreasing order.\nAnswer: 5224, 2, -2, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6929 and 39811?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1012*c**3*o**2 - 4*c**3 + 13*c**2 - 2*o**3 - o wrt o?\nAnswer: 2024*c**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 14*k + 15. Give y(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9997, -2, 31?\nAnswer: 9997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkp when three letters picked without replacement from {p: 1, w: 6, k: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 13*p**2 + 11*p - 13. Let l be f(-12). Let a be (-766)\/l*2\/4. Suppose -11*o = -a - 8098. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 30 = -210. Suppose -2*n + i = -82. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 45 = -p - 108, 4*p - 5*i = -226. Let v(f) = -27*f - 4. Let b be v(-4). Let r = b + p. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p + 3*p + 88519*j - 88510*j - 95, -34 = 4*p - 3*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86192 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/8*2 - (-56)\/32. Let g be u*1 - (-13 - -83). Let t = g - -110. Round t to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7196 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z = -3*i + 1020, z + 6*i - 49 + 3 = 5*z + 70 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5464 (base 9) to base 4.\nAnswer: 332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/144 and 83\/324?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 464 divided by -4\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 81?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231377 is divided by 178?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let c be r(-3). Suppose 0 = -w - 4*v + c*v + 186, -v - 930 = -5*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:16 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 687 - 298. Let a = j - 205. Let y = a - 184.0338. What is y rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/189 and 32\/441.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 0*u**3 + u**4 + 2*u**4 + 0*u**3 + 0*u**3 + (5*u**2 - 4*u**2 + u**2)*(7*u**2 - 2*u**2 - 3*u**2) + 5 + 2*u**4 - 5*u - 2 + 1.\nAnswer: 9*u**4 - 5*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -37, -2, -144 in increasing order.\nAnswer: -144, -37, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -694.00000473 - -694. What is l rounded to 7 dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387566071?\nAnswer: 41, 9452831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 11*h - 41. Let k be t(-8). Let d = -160 - k. Calculate the least common multiple of d and 56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c - 43*c = -5*r - 44, 0 = -4*r + 5*c + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 880\/(-30)*(-3)\/2. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -44*((-9)\/4)\/9. Let t(j) = j**3 - 3*j**2 - 8*j - 5. Let x be t(6). What is the highest common factor of x and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -69*a**3 - 3*a**2 + 2*a + 3. Let m be u(-1). Suppose 88 = 4*v + q, 3*v - m = 3*q + 14. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 397*f**4 - 71*f**2 + 2*f - 66043 wrt f?\nAnswer: 1588*f**3 - 142*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-1 - -1) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 33, 52, 73, 96, 121, 148?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1) + (-5 - -28). Let f be (3\/(-6))\/((-21)\/s). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q + 2*q**2 + 33*q + 1175*q**3 + 20*q + 1 - 37*q + 17*q.\nAnswer: 1175*q**3 + 2*q**2 + 60*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyt when three letters picked without replacement from yyyeetcceeyytyt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3*1)\/(15\/(-60)). Solve 0 = -4*r + r + o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54772 times -0.1\nAnswer: 5477.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 2\/(-18)*4 - (-625)\/9?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(66)*2)\/(1*sqrt(150) + sqrt(150)).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let k(g) = -63*g + 4. Let h = -435 + 446. Let y(c) = 124*c - 7. Let s(o) = h*k(o) + 6*y(o). Give s(z(l)).\nAnswer: 102*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 6\/11 (b) 1\/3 (c) -45 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g. Let m(s) = -3*s. Suppose 0 = -8*q + 5*q + 42. Let b = 20 - q. Let d = 8 + -3. Give b*m(j) + d*c(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(39\/2))\/((-5)\/20)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-4)*(21 - 16\/(-8)). Suppose 84 = 73*g - c*g. Factor -3\/7*x**2 - g + 6*x.\nAnswer: -3*(x - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*p + 917 = p, 4*f = -3*p - 733. Suppose 5*z = -4*n - 2183, 3*z - 6*n + 11*n = -1315. Let v = f - z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, r: 5, d: 2}. Give prob of picking 3 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60000 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 3*p - 7. Let k be m(-4). Let z be (3 - k)*(-3)\/(-6). Let t be 3\/(-6) + z\/10. Sort t, -2\/9, -1\/3.\nAnswer: t, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 367665*y - 30495528.\nAnswer: -3*(y + 83)*(y + 122472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8415.8 - 8415. Let p = -7 + 6.95. Let x = p - 1.95. Which is the closest to h? (a) 4\/9 (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115.29 - 116. Let l = o - -0.71000097. What is l rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 4\/(-16))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/48 - p**3\/24 - 7*p. Solve z(r) = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.74 + -545.26. Let j = 549.202 + r. Round j to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010 (base 2) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*o - v - 31 = 2*v + 2, -4*v = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3691 - 611124.4\nAnswer: -607433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.688 + 0.012. Let w = u - 16.70141. What is w rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:20 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2, 21, 8 in decreasing order.\nAnswer: 21, 8, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let z(a) be the second derivative of -25*a**3\/2 + a**2 - 174*a. Give z(x(m)).\nAnswer: -150*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1324 and 4036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-604)\/28 - 9\/21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkh when three letters picked without replacement from ghkhgkkk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2097620, 4, -3 in descending order.\nAnswer: 4, -3, -2097620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 127. Suppose 5*q - 2*l - 33 = 0, z*q - 26 - 12 = -3*l. Calculate the remainder when 32 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10257 is divided by 1139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036826 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5. Let c(q) be the second derivative of 3*q**4\/4 - q**3\/6 + 12*q + 68. What is c(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49901336 divided by 9.\nAnswer: 49901336\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3 - 35369*u**2*z - 4*u*z - 1125*u - 32 wrt u?\nAnswer: -12*u - 70738*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4609 or -124420\/27?\nAnswer: -4609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79 and -3493.\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219408950.\nAnswer: 2, 5, 4388179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10e - -cc?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2*j)\/(j*j**11))\/((((j*j**(-9)*j)\/j)\/j)\/j**(-3\/8)) assuming j is positive.\nAnswer: j**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 + -1276\/5. Let s be (-18)\/(-171) - 8724\/8512. Let o = -1\/16 - s. What is the second biggest value in r, -5, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 96. Find the second derivative of j*b**5 - 2685*b + 2653*b + 8*b**5 wrt b.\nAnswer: 540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((25 + 136 + 34)*(-1 + 5 + 6) - 1 + 1 + 2)*(4*s**2 + 3*s**2 - 5*s**2) in the form m + k*s**2 + l*s and give k.\nAnswer: 3904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.065 and -843.89?\nAnswer: -54.85285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**7\/7 + 83*a**6\/45 + 57*a**5\/10 - 47*a**4\/18 - 20*a**3 - 12*a**2 - 1889*a. Determine g so that w(g) = 0.\nAnswer: -6, -3, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81597052.\nAnswer: 2, 41, 647, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -300 + 453. Suppose -2*k + u - p = 0, 240 = -6*k + 3*k - 2*u. Let m be (4 - 0) + 300\/k. Which is the biggest value? (a) -10 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 39, -0.5, -12, 1\/3, -4\/17, -3?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56.38 - 14.52. Let p = -71 - f. Which is the nearest to 2\/13? (a) -1\/5 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 38 = -2*l, 3*t - l + 43 = -0*t. Let x be 14\/(-20) + t\/(-40). Let h(q) = q - 3. Let w be h(3). Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 41 = x, 28*g - 9*x + 33 = 25*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 47. Solve -25 = j*h + 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 11*u - 27. Calculate l(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/2))**39*k\/(k\/k**3)*k*k**(-4)*(k**(1\/3))**23\/(k**5*k**1*k) assuming k is positive.\nAnswer: k**(355\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-440)\/(-66) - 12)\/((-4)\/6) + -29?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 1592718?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -1\/4*g**4 + 0*g**2 + 0*g**3 + 104 - g. Suppose -3*k + 0*k = -3. Let d(x) = 8*x**3 - 2*x + 6. Give k*d(u) + 6*l(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*z + 16, 25 = -2*z + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15*u - 5. Let o(x) = -x - 13. Let g be o(-11). Let t be s(g). Suppose 2*j - 5*y = -11, 5*j + 0*y = -5*y + 25. Solve 0 = j*l + 3*l - t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23788058, -47576110, -71364162, -95152214, -118940266?\n\"Answer: -23788052*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 6*a + 9. What is the units digit of o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7 + 21 - 2*l - 4 - 10. Let m(p) = -3*p + 6. Determine q(m(c)).\nAnswer: 6*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1736, 1057, -52, -1573, -3488, -5779?\nAnswer: -8428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - 184\/(-24). Suppose 0 = 8*y - a - 16. Calculate the smallest common multiple of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 9. Suppose 2*f + 2*t = 0, 4*t - 3 = -3*f + 1. Calculate the lowest common multiple of k(0) and 11 - f\/((-4)\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -3910.62033679?\nAnswer: -3910.82033679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z. Let w(k) = -1. Let h(b) = -3*w(b) + y(b). What is h(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, m: 3}. Give prob of picking 4 o.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 97 = 75 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*x - 4*j, 2*x + 3*j - 12 = 1. Suppose -4*n + u = -32, -n - 2*u - 4 = -21. Calculate the smallest common multiple of n and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3723 + 3778. Let s = -74 - -133. Solve t*d = s*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 130161280*c**2 + 260322575*c - 130161290.\nAnswer: -5*(c - 1)**2*(c + 26032258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63759\/(-2)*9\/((-297)\/(-22)). Let w = y - -2380395\/112. Calculate the common denominator of 65\/16 and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 140*n = -3232, n - 155 + 175 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34811?\nAnswer: 7, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1576570, -3153159, -4729746, -6306331, -7882914, -9459495?\n\"Answer: a**2 - 1576592*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -54. Factor 2\/9*k + 4\/9*k**r + 0 + 2\/9*k**3.\nAnswer: 2*k*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 238*i**2 - 2376*i.\nAnswer: -2*i*(i - 108)*(i - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 - 17*a**2 + 7*a - 21. What is d(-8)?\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:19 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1370 + 1374. Solve -2*v = 4*x - 10 - w, 3*x - 13 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {e: 4, s: 1, q: 2, a: 1, z: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79013*w**6 - w**5 + 8006*w**2 - 4*w - 1 wrt w?\nAnswer: 9481560*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20133)\/387 + 40612\/781.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/4? (a) 7.2 (b) 5\/3 (c) -2\/7 (d) 0.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030453 (base 6) to base 16.\nAnswer: c621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -13*v**3\/3 + 35. Let t(l) = 4*l. Determine t(r(c)).\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125156 and 510898?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18441895 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 1144101 = 36*q + 39*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 28*o + 672 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -62772, 3 in increasing order.\nAnswer: -62772, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + 28)*(-2)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beyeyee. Give prob of sequence yee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1152) + 0 + (1 + sqrt(1152))**2 + sqrt(1152) - sqrt(1152) - sqrt(1152)) + sqrt(1152) - -5*(-5 + (sqrt(6)\/sqrt(3))**2 + 3)).\nAnswer: 72*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 4. Let k(f) = -2*f + 4. What is 2*k(i) + 3*x(i)?\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 13 - 23 = 0. Suppose k*w - 293 = -272. Solve 0 = v - 3 + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 7. Let w be v(5). Solve 0 = -4*u + 4*f + 24, u - 21 = 5*f - w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 + 438?\nAnswer: 434.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6788 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (-2 - (7 + -11) - (14 + 38))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**3 + 9*u**2 + 6*u**2 - 8*u**3 + 0*u**3. Let l(f) = -9*f**3 + 8*f**2. Calculate -11*l(i) + 6*t(i).\nAnswer: -3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - 0 - (1 + -2). Let n = b - -31. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -12. Let k = 59 + c. Find the common denominator of (24\/k)\/(4\/171) and 3\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34044 + 98?\nAnswer: 34120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -2, 0 = -m - 3*z. Calculate the remainder when ((-2)\/(-4))\/((-2)\/(-52)) is divided by 16\/3 + (-1)\/m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9251, 18273, 27055, 35597, 43899, 51961, 59783?\n\"Answer: -120*s**2 + 9382*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Suppose 9 = 2*t - 5*t. Let d be (6\/4)\/(t\/(-4)). Let u(i) = 0*i**2 + 10*i**2 - d*i**2. Give b(u(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -22609.417 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 20. Let j = 13 - 11. What is the highest common divisor of w and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 563, 1149, 1755, 2381, 3027, 3693, 4379?\n\"Answer: 10*a**2 + 556*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3555512, 5, -5 in increasing order.\nAnswer: -3555512, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.257 (b) 4 (c) -2 (d) 0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5703551 (base 9) in base 8?\nAnswer: -13562242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1497.15732 to one decimal place.\nAnswer: -1497.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 - 830*a**2\/7 + 3047*a - 39330\/7.\nAnswer: -(a - 23)*(a - 2)*(a + 855)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 2 - (-72)\/22. Let u = 1344.4 - 1344. Which is the third smallest value? (a) 1\/5 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - 1517\/(-287). Let m be x + (-1)\/(-1) + -558006. What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 20 = 0. Suppose 3*z - 8 = -4*h + 28, -3*h - p*z + 38 = 0. What is the smallest common multiple of h and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -123 (b) 8 (c) 0.1 (d) -32 (e) -0.2 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112119 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/45 - (-1)\/(4\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4\/4 - 3*r**3 + 10*r**2 + 3*r - 63. Let j = -2 + -9. What is the tens digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967.2041s to milliseconds.\nAnswer: 967204.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320462835 divided by -19635.\nAnswer: -16321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) 0.4 (c) 0.267 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67985811 is divided by 209?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 280*s + 43. Is p(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -119, -188, -305, -470, -683, -944, -1253?\n\"Answer: -24*o**2 + 3*o - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -h - 5*i, 4*h - 64 = h + i. Let v be (10 + 0)\/(4\/2). Suppose 3*b - 5*b + 4*l = 0, -v*l = b - h. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20599 - 10667. List the prime factors of s.\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/16*18\/(-27). Let v = 8.08 + -1.91. Let n = -6 + v. What is the third biggest value in -4, n, a, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 15 - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t. Let n = -57 - -59. Suppose -5*x - 2*d = -9, 6 = -0*x + 4*x + n*d. Determine q(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 + 148 = 2*g + 5*y, -5*g = 4*y - 1816. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 13 - 12) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**2*h))\/h)**(1\/34)\/((h*h**(5\/6)*h)\/(h**(-1\/4)*h)) assuming h is positive.\nAnswer: h**(-437\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/38, -1\/4, -340, 0.3?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-6)*y)\/y)*y)\/y*y\/y**(2\/3))\/((y\/((y**(-5)*y)\/y))\/y**0) assuming y is positive.\nAnswer: y**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5451 = 1819*q + 1139*q + 168021 + 66126 for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*f**4 - 67619*f**3 - 83992650?\nAnswer: -156*f**3 - 202857*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t - 57*t + 276 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 + 258 + 251 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310220 (base 4) in base 13?\nAnswer: 8cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -4\/7 (c) 1 (d) 1\/6 (e) 3\/11 (f) 251.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 a factor of 246886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 + 7*s - 10. What are the prime factors of d(7)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjdskrkvvvdjsdk. What is prob of picking 1 v, 1 k, and 1 s?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 2*r)*(-4*r**2 + 0*r**2 + 0*r**2)*(5*r**2 + 2*r**2 - 5*r**2).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 122 from 15.2898.\nAnswer: -106.7102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 65. Let f = -2 - c. Solve -6*k - f = -4*k + 3*p, 4*k = p + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384930979.\nAnswer: 37, 577, 64871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Suppose 0*v - 40 = c*v. Let g be -2 - v\/4 - 2. Solve 0 = 3*x - g + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318 divided by 1.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:35 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 315*t**2 + 4632*t - 8556. Calculate n(329).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - w = -17*u - 3761, -4*u = -5*w - 15008. List the prime factors of u.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:38 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 383991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -537 + 622. Calculate the remainder when 337 is divided by m.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1664.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 2*q**2 + 3*q**2 + 3*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 137750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88450.74*5.\nAnswer: -442253.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dade + 0?\nAnswer: dade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-12)*t*t)\/t)\/t**0)**(-29)\/(t**(2\/7)*t**(3\/5))**32 assuming t is positive.\nAnswer: t**(9158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {b: 2, e: 1, c: 1, p: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, -591 in ascending order.\nAnswer: -591, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000902 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 208631 and -791.6.\nAnswer: 207839.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3 - 40*d. Let w(h) = 98*h**2 + 15*h - 56. Let j(x) = -13*x**2 - 2*x + 8. Let o(i) = -15*j(i) - 2*w(i). Give u(o(s)).\nAnswer: 6*s**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -15\/4. Find z such that 0 - p*z + 1\/4*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - j**3)*(-107*j + 107*j - 43*j**2).\nAnswer: 43*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.46, 6\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53594*w**3 + 9*w**2 - 2107480*w - 7 wrt w?\nAnswer: 321564*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 25 = 4*f, f + n = -12 + 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 6*x - 4. Let f = 9 + -13. Let s be c(f). Suppose -s*p + 13 = -7. Solve -p*b + 16 = 3*m, -2*b + 7*m + 22 = 3*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3120)\/(-25))\/16*(-5)\/(-3))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 20. Let c = f - 11. Suppose i = 3*s + 7395 + 5499, c*s - 38710 = -3*i. Round i to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018959933 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7483947 is divided by 5806?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:28 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 580091 <= 580078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 + 575210*k - 3451080 = 0. What is k?\nAnswer: 6, 115036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17945975 and 950.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 66 + 4 = 0. Put 112, t, 4 in ascending order.\nAnswer: 4, t, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)\/c*c*c*c**(-4))**(2\/3)*((c**2\/c)\/c**(-1\/7))\/((((c\/(c*c**(1\/12)))\/c)\/c*c)\/(((c**(-2)*c)\/c*c*c)\/c)) assuming c is positive.\nAnswer: c**(-23\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, q: 5, l: 3, m: 3, a: 1}. Give prob of sequence mm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 6, -w + 6*s + 542 = 2*s. Let d(x) = 5*x**2 + 5*x - 10. Let c be d(3). Calculate the highest common factor of c and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2298690*m**6 - 255*m**2 + 2*m + 1990?\nAnswer: -275842800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 270678035257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3070 + 3076. Solve l = 5*d + a, 5*d + 19 - 1 = -2*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z + 18 - 13*z - 106 to the form h + i*z and give h.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 31*m + 687 = 222 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 5) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07414458 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -4, -2, -19\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 75*d - 852 = -53*d for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*n + h + 21, 9 = -3*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306405369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*u = -277*u + 273938. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2012966503 to the nearest integer?\nAnswer: 44866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -292*z**3 + 11*z**2 + 2*z + 2. Calculate a(-1).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21*x - 23 = 19*x, 2*x = 5*c + 37. Let s(g) = g**3 + 7*g**2 + 4*g + 14. Give s(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 842874.\nAnswer: 842874.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 873581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 3*x = a + 17, x - 5*a = 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13954 and 10.\nAnswer: 69770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpppzpzzzzpz. Give prob of picking 4 p.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1623*l + 64925. What is p(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3820 - -3812. Let q(l) = -3*l**3 + 7*l**2 + 5*l. Let x(m) = -5*m**3 + 11*m**2 + 8*m. What is r*q(n) + 5*x(n)?\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*u + 3*u - 25, -5*u = -2*n - 25. Let h(f) = 0*f + 4 + n*f - 6*f - 21. What are the prime factors of h(-10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-408117)\/594*2)\/((-5)\/(-60)). Let m = y - -16488. Find the common denominator of 83\/15 and m.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 48219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 + -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 1751185 = 35*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894820063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8 - -4) - 0 - -3 - 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193139005?\nAnswer: 5, 38627801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -y + 56, 0 = -2*y - 3*s - 7 + 119. Calculate the remainder when y is divided by ((-532)\/(-8))\/7*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -77*t + 108. Determine h(7).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 1\/5, 3, -5\/2, 105454 in descending order.\nAnswer: 105454, 4, 3, 1\/5, -5\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**4 + 190*p**3 - 3227*p**2 + 2 wrt p?\nAnswer: -24*p + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44 - ((-3 - 5) + 4). Suppose -45*r - 1071 = -s*r. List the prime factors of r.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 1. Let y(k) = 2*k + 2 - 7 - k. What is the remainder when 7 is divided by y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1502 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 4*z**3 - z + 2*z - 2*z + z**3 + (-2*z + 0 + 0)*(z - z - z**2) + (-2*z**2 - 2*z**2 + 3*z**2)*(z + 3*z - 2*z) + 0*z**3 + z**3 - 2*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j**2 - 87*j**4 - 15*j**2)*(0 + 4 - 3).\nAnswer: -87*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {m: 1, i: 1, e: 1, g: 3, l: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 - 0.74. What is the third smallest value in h, -3\/5, -4\/3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275187473 rounded to three dps?\nAnswer: -0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -i - 194, -a - 2*i = -2*a + 58. Let v = 79 + -8. Let t(y) = v*y - 138*y + a*y. Let s(w) = -18*w. Calculate s(t(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 9:23 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38639*l - 2533235*l - 585198*l.\nAnswer: -3079794*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1903*d**2. Let y(m) be the third derivative of m**5\/60 + 447*m**2 + m. Determine p(y(l)).\nAnswer: -1903*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 - 10*w - 19. Let l be f(-7). Suppose 2*n - 4*h + 5 = 51, -l*n = -3*h - 42. What is the units digit of (-2)\/n - 9848\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 4}. Give prob of picking 1 w and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-6 - -12 - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 759629.72 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 8*b + 2. Let k(x) = x**2 - 8*x + 2. Let r(y) = -2*y + 15. Let f be r(10). Let w(j) = f*k(j) + 4*h(j). Let q be w(8). Are -1 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/24 + 9\/76. Is g >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10599 times -0.1\nAnswer: -1059.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4363892 is divided by 1090949?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26400275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-103)\/((-927)\/150))\/(2\/(-3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8847\/10 + 886. Calculate the common denominator of t and -25\/193.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-14)\/4)\/(7\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/8*(-8)\/(-3). Suppose 4*d = 6*d - h. Solve -4*l - d = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-1 + 0 + 0)*(-1 + 1 + 7*b**3 + (-4 + 1 + 2)*(b**3 - 1 + 1)).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11) + (31 - (15 - -23)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:10 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*6\/108 + 0. What is the biggest value in -7, 0, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -581*s + 23815. Calculate m(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 315 = -0*n - 3*n, -w + 165 = n. Suppose w + 486 = 4*p. Suppose -5*d = -p - 113. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50683500 * 5\nAnswer: -253417500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onze when four letters picked without replacement from zzeodnon.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18*f**2 + 3*f + 16. What is the units digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -11*x**3 - 4*x + 1. Let y(q) = -q**3 - q**2 - 2*q + 1. Give -k(a) + y(a).\nAnswer: 10*a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 30. Let d be 4\/(-24) - 35\/y. What is the fourth smallest value in 4, 0.2, -2\/15, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -4 (c) -9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6291 and 1394971?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 23. Suppose -2*w = 2*g - 42, -3*g - 4*w + 25 = -34. What is the remainder when g is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - ((-14 - -5) + 5 - -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:26 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 3*c + 3, 4*a - c = 5. Let k(g) = -g**3 - 5*g**2 + 38*g + 122. Calculate the least common multiple of a and k(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/63)\/((-1)\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g - 10. Let m be 2\/(-5)*(-30)\/3. What is the tens digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15554026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5 = -l, -152 + 147 = -7*l + 3*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3910233*k - 1955342*k - 1954894*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663686 and 18.\nAnswer: 5973174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*j = -12, -q + 3*j = 4*q - 30. Let o(z) = q - 597*z + 2 - 12. Let y be o(-2). Round y to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u + 60. Let b be i(10). Let r be 4 + b + -1 - 4. Solve -5*c + 2*c = r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -100 + -9 + 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d + 3. Let j(z) = -5*z + 4. Let w(r) = 3*j(r) - 4*m(r). Let h(x) = 2*x**2 - x. Calculate -h(c) - w(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = 0, 0 = -2*a + 6*a + 2*d + 20. Sort 3, -3, -2, a in ascending order.\nAnswer: a, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55211 + 15410?\nAnswer: 115021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(3\/(-2))\/(-3). Suppose -2*u = n - 3*n - 60, -5*u - t*n + 190 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1011122022?\nAnswer: 1011122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/60)\/f**(-32) assuming f is positive.\nAnswer: f**(1919\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/54868 and -111\/2552?\nAnswer: 109736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.733 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 40650449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 18*o + 33. Let k be y(-14). Let i be ((-14)\/(-6) - -1) + k\/69. Solve i*f + 5*p - 25 = 2*f, -5 = -2*f - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -1\/15 (c) -4\/215 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*w - 11, 5*w = 5*v + 3 + 2. Calculate the common denominator of (17\/v)\/(7\/(-4)) and -30\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47390 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9399968503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002 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: Calculate the remainder when 3762 is divided by 3758.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 - 7*g**4 - 114*g**3 - 17*g - 7.\nAnswer: -40*g**3 - 84*g**2 - 684*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20099, 3, -5, 10 in descending order.\nAnswer: 10, 3, -5, -20099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-30) - (3 - (-87)\/(-9)). Let a(z) = 68*z + 42. Does 9 divide a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - -30)\/(-9) - (-4 - 0). Put 2, -6, -1, r in descending order.\nAnswer: 2, r, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(13\/7 - 2). Let y = -54 + 43. Let l = y + 16. Does v = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 3*m + 10*m + 19*m as t*m + j and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1 (c) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57509*l**2 + 57510*l**2 - 115034*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7031, 14058, 21085, 28112, 35139, 42166?\n\"Answer: 7027*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -399925 - 3?\nAnswer: -399928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.044 or -25869?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 5*r**2 + 5*r + 2. Let v be i(6). Let q(l) be the first derivative of l**4\/4 + 5*l**3\/3 + 5*l**2\/2 + 6*l - 4. Determine q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313311 - 20?\nAnswer: 313231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833251529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69971729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.235, -5, 0.39, 0.5.\nAnswer: -5, -1\/10, 0.235, 0.39, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9139473.\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74348480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/11 and 14\/((-8)\/12 + (-58)\/(-6)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - h + 4. Let y be i(6). Let o be ((-1)\/y)\/(2\/12). Which is the biggest value? (a) 2 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3057, 12127, 27245, 48411, 75625, 108887?\n\"Answer: 3024*q**2 - 2*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 59\nAnswer: -2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)\/(x**(-1\/11)*x*x)*x**(-7)\/x**(-2)*(((x**(-7\/4)\/x)\/x)\/x)\/x*x**(1\/5)*x*x**(-2\/3)*x*x\/x**(1\/3)*x assuming x is positive.\nAnswer: x**(-6133\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.702 + 3.2656. Round o to two decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 18. What is b(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:47 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r - 11. Let q be z(5). Suppose q*v = 3*y - 21, 4*v - y + 9 = 2*v. Let c = v - -27. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let d = 3 - 3.1. Which is the nearest to d? (a) -0.5 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0132 + -40.6132. Let g = -6 - 35. Let f = g - m. Sort 4, f, -1\/26.\nAnswer: f, -1\/26, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 3*i - 3*i + 2*i - i - 3*i + 0*i + i - 2*i + (-4*i + 3*i + 2*i)*(-1 - 3 + 3) + i + 2*i - 4*i + (-6 + 4 + 3)*(2*i + 9*i - 6*i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (5 - -7)) + -4 + 12 + -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77804*z**2 + 38974*z**2 + 39028*z**2.\nAnswer: 198*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 801959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*g - 3*h, -13*g + 8*g + 2 = 4*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4796 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000342 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 28. Calculate the remainder when ((-1)\/(-2))\/(-1)*-102 is divided by r(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 3 (c) -86\/333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64 and -0.086.\nAnswer: -64.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 divided by 1075480?\nAnswer: 185\/215096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937577941.\nAnswer: 13, 17, 8767321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 17*t - 45. Let s = 139 - 151. Let a be q(s). What is the greatest common factor of 35 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/24990 and -191\/240570.\nAnswer: 200394810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 4*h**2 + 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 9*g**2 - 8*g + 26. Calculate c(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -815? (a) 1 (b) -176 (c) -19 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 3\/7, -41, 0.056, -3, 1.3 in decreasing order.\nAnswer: 1.3, 3\/7, 0.056, -3, -41, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*x + 274*x + 270*x - 1054*x + 261*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. What is the third smallest value in x, -4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5196997.\nAnswer: 5\/5196997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:32 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14122, 13515, 12504, 11089, 9270, 7047, 4420?\n\"Answer: -202*k**2 - k + 14325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - (-297)\/45)*(0 - 285). Determine a, given that 66*a**2 - 341*a**2 - f*a + 37*a**4 - 154*a**2 - 24*a**4 + 44*a**4 + 72 - 207*a**3 + 21*a**5 = 0.\nAnswer: -4, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.401?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -m + 6*m + 2*y, 2*m + 4 = 2*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97338 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 22. Let h be -4 - (19 + 0)*f. Suppose h = 3*v - 15. Solve v = -4*w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - u = 9, -1 = -g - 2*u + 1. Let d be 28\/(-8)*g\/(-7). Solve t - 10 = -5*l, 4*l - 8 = -d*t + 4*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = 2*g - 10*h + 11*h, -4*h = 0. Calculate the remainder when 757 is divided by g\/24 - 2\/4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (sqrt(363)*1 + -5 - sqrt(363))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 313536 and 2083616?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:05 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - c**3 + 13 - 2*c - c - 3 to m*c**2 + l*c**3 + y*c + p and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-16) - (-8)\/(160\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiy when three letters picked without replacement from eeeeiyiiyyy?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -7090\/1369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5018 = 836*k - 10866 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 24 = 10*q. Let r = -6 + q. Let p be (-2 + 3 + -11)*-1. Solve 0 = -2*w - r + p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q - 4*d = -79*q - 14, q - 3 = -d. Let y(l) = -11*l. What is y(q)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 4\/9*i + 6 - 4\/27*i**3 + 5\/9*i**2 - 5\/18*i**4. Solve x(m) = 0 for m.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 842*h**3*l**2 + 837*h**3*l wrt l?\nAnswer: 1684*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:24 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/320*6)\/((-24)\/30). Let d = -0.26 - -0.3. Put g, 0.03, -4\/7, d in ascending order.\nAnswer: g, -4\/7, 0.03, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4966693 millennia?\nAnswer: 4.966693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 11*y**6\/120 + 7*y**5\/60 + y**4\/6 - y**3\/3 - 6*y**2. Let o(w) = 6*w**3 + 4*w**2 + 2*w - 1. Give -7*o(b) + 4*z(b).\nAnswer: 2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f + 1. Let c be q(1). Let a be (c\/(-9))\/((-4)\/12). Let s(z) = -z + 1. Determine s(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1421.\nAnswer: -10\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 2, 4, -5, 22, -4 in increasing order.\nAnswer: -136, -5, -4, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 59827764*o**4 + 298280112103304*o**3 - 495706448689113912328*o**2 - 298280112103308*o + 495706448689173740092 = 0. What is o?\nAnswer: -1, 1, 4985647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(1290\/117 + -11) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*h = -34*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29880 and 1769560?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 121*p**2 - 2*p - 2. Let w be q(-1). What is the tens digit of 2\/3 - w\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236039 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-2*f**2 + 3*f**2 - 5*f**2)*(-f + 6*f - 3*f).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -107436175 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15129 - 11302*o - 2183*o - 245*o**2 + 0*o**3 + 5619*o - o**3 - 7017*o.\nAnswer: -(o - 1)*(o + 123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-6))\/((-5)\/85)*2. Solve 0 = -5*r + n - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 598*t + 6. Let g be v(3). Suppose -q - g = -5*w, -5*w + q + 1790 = -2*q. Suppose -2*y + 21 = -w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13973527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*x**3 + 277*x**2 - 950*x**3 + 501*x**3 - 4 - 277*x**2.\nAnswer: 57*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b\/(b*b*b\/b**(-1\/3)*b))\/((b**(-5)\/b)\/b*b\/b**(-2\/5)) assuming b is positive.\nAnswer: b**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*w - c - 4, 12 = -3*w - 5*c. Let b be (3 - 5)\/(w\/(-10)). Let i(g) = 7*g + 5. Let r be i(5). Calculate the highest common divisor of b and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -851 - -883. Let i = 0.7 - -2.3. Which is the nearest to -0.1? (a) 2 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20509868?\nAnswer: 2, 101, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -21*l - 402. Determine m(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/120 + 17*a**4\/24 - a**3\/6 + 2*a. Let l(o) be the second derivative of r(o). Let b be l(-9). Solve 4*q = 2*q - b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -91*w + 5451. Give r(59).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200511.\nAnswer: 3, 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 362530263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1 = -4*s, -2*s - 4*x + 7 = 5. What is the closest to s in -5.8, -4, -0.3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkddk. Give prob of sequence kkd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -544405 and 22?\nAnswer: -11976910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -45) + -13 + -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/3))**(-24)\/(u**(-1)\/u)**(-6\/17))**(-10))**(-1) assuming u is positive.\nAnswer: u**(1240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -139*a**2 + 694*a + 16. What is the remainder when 15 is divided by m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 3. What is the second derivative of -3*f**c + 3 - 3*f - 3 wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526065765 to the power of 1\/3, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 - 39\/3. Let i = 28 + s. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/19 (b) 0.005 (c) 0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*s + 3*s + 3, 11*u = -4*s + 11. Let r(y) = -13*y**2 - 2*y + 1. What is r(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28980\/300)\/69)\/(2\/(-30)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75086 = 3039*o + 98675 + 117983 for o.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:57 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*n - f - 4*f, 5*f + 15 = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21535 and 8.\nAnswer: 172280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7224579538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 32*c + 14. Let n be y(-4). What is the remainder when n\/(-18) - 8\/6 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -26 + (47 - 56)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86574, 346278, 779120, 1385100, 2164218, 3116474, 4241868?\n\"Answer: 86569*y**2 - 3*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -12.23?\nAnswer: 476.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8313350 and 61\/910854.\nAnswer: 523741050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/3, -0.3, -1\/20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/3 - 278*o**3\/3 + 7325*o**2\/3 - 25996*o\/3 + 8300 = 0. Calculate o.\nAnswer: 2, 25, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91859276856.00000713 + -91859275654. Let b = 2717 + -3919. Let k = o + b. What is k rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5035893.\nAnswer: 3, 17, 19, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -0.21 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 520\/685349?\nAnswer: 520\/685349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/11, 1, -9, 22, 4\/5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1001*q + 1012. Let n be x(-1). Solve -n*r - 4*r = 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*x**3 + 1 + 7 - 13 + 5.\nAnswer: -597*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009925987 to 5 decimal places.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3922)\/(-5565) - (-2 + (-160)\/(-84))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(3\/2)*t)**(-2\/5) assuming t is positive.\nAnswer: t**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4509665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.3. Let t = 1.26 + -22.76. Let a = 22 + t. Put a, l, 0.2, 0.03 in decreasing order.\nAnswer: a, 0.2, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4781, -19131, -43055, -76559, -119649, -172331, -234611, -306495?\n\"Answer: -r**3 - 4781*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -95*k - 109 + 22 + 105*k - 20. Let m be c(11). Solve 0 = -m*q + 5*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1317*i*l**3*o - i*l*o + 2*i*l - 7*i*o + 1129*i + 29*l**4 + 121*l**2*o - 54*l*o + 2*l wrt l?\nAnswer: -7902*i*l*o + 348*l**2 + 242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 2 + 41*b**3 - 2*b**2 + 3*b + b. Let q be k(2). Suppose 2*t + 2*x = 5*t - 191, -q = -5*t - 5*x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 53*k - 4. What is the remainder when g(6) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(120\/9))\/(57\/(-6) + 5). Let i(p) = p - 6. Let n be i(5). Let k be n\/(-4) - (-6)\/(-8). Which is the smallest value? (a) k (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1\/(-1) - 0. Is 2*(-230)\/(-4) - j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 141*266\/114*2*1\/1. Calculate the greatest common divisor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c. Let o(l) be the second derivative of 1\/50*l**5 - 1\/15*l**3 + 0*l**4 + 2*l + 0*l**2 + c. Suppose o(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.76837948 to 0 dps.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**2 + 0 + 0*g**3 - 1\/840*g**6 + 1\/168*g**4 + 0*g + 0*g**5. Let z(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 43 = c - 9*u, 5*c = 5*u + 215. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/128 and 45\/8.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a hour in minutes?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80101a (base 14) to base 4.\nAnswer: -100123013100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -486.35645 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4366\/1110 - 5\/(-75). Solve -2*f = 7*v + 45, 2*f - r*v - 15 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2960257000 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**2*m*u**3 - 103*k**2*m - 2*k**2*u - 3*k*m*u + 2*k*m - 2*k*u**2 - 2*m*u**3 - 94*u**3 wrt k?\nAnswer: -52*m*u**3 - 206*m - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose -4*v - v + 110 = 4*l, -t*v + 110 = 2*l. Suppose 44*q - 49*q = -90. Calculate the least common multiple of q and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 126 = -159. Suppose 3*t - 4*a - 12 - 29 = 0, -w = -5*t + a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 128613 - 258*m - 128613)*(-2 + 4*m - 3*m - 1).\nAnswer: -m**3 - 255*m**2 + 774*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974960 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36016*q**2*z - 4453*q**2 - q*z - 4*q + 75741*z + 16 wrt q.\nAnswer: -72032*z - 8906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 2:04 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, t: 1, u: 1, i: 1, s: 2}. What is prob of picking 1 s and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - (-7323)\/891) + 2\/(-11). Let u be (-1)\/4 + 33\/(-12). Let a = -2 - u. Is h <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 14430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56804109 to the nearest integer?\nAnswer: 7537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**7\/70 - 35*v**6\/6 + v**5\/60 + 8897*v**3\/6 - 34*v**2 - 3*v + 8. What is the third derivative of h(s) wrt s?\nAnswer: -72*s - 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Let d be (z - 1)*(-3 - -1). Suppose 5*m = -d*f - f + 67, 0 = 5*m - 10. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**4 - 28895*x**3 - 41904570*x**2 - 457748480*x - 415872800 = 0.\nAnswer: -2884, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**3 - 3*g**2 + 5*g + 1. Let j(h) = 3*h**3 - h**2 + h. Determine 3*j(s) - w(s).\nAnswer: 2*s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3, 4\/5, 5\/7 in decreasing order.\nAnswer: 3, 4\/5, 5\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3209 - 317*k + 3*k**3 - 2*k**3 + 317*k + 6082 + k**3 - 2872.\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 38 - 5*m**2 + (-16 - 9 - 12)*(15*m**2 - 63*m + 63*m) in the form v*m**2 + r + u*m and give v.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*u - 1306*u + 662*u = -9417 for u.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-1))\/(-12)*(0 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 5)*(2*a**4 - 2*a**4 + a**4) + 3*a**4 + 0*a**4 - 7*a**4 - 4*a**4 + 0*a**4 - a**4.\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-47)\/5 + (-8)\/(-20). Let k(o) = -3. Let y(n) = 322*n - 8. Let j(t) = -7*k(t) - y(t). Is j(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.917 - -0.017. Let w = f + 3. Let y = w + -0.0998. Round y to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -10 + 8 + -8 - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/((-117)\/(-1446))*3. Suppose -2*s = d - 494. Calculate the greatest common factor of s and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1636 + -1591. Let i = 20 + 29. Let h = i - s. Put h, -0.5, 5, -4 in increasing order.\nAnswer: -4, -0.5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/((w*w**(-30)*w)\/w)*w\/((w*w**(-12\/7))\/w)*w**(5\/8)\/w assuming w is positive.\nAnswer: w**(1531\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1216)*2*-1)*-1 - ((1 + sqrt(1216) + sqrt(1216) - sqrt(1216))*-2 + sqrt(1216)*2*5 + sqrt(1216) + 4))**2.\nAnswer: 560*sqrt(19) + 59609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 14*i + 20. Let f be r(15). Solve -y = -2*y - f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -19*n - 3. Let c(y) = 34480*y**2 + y. What is j(c(i))?\nAnswer: -655120*i**2 - 19*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**7\/280 + t**6\/180 + 5*t**3\/3 + 2. Let a(x) be the third derivative of p(x). Find the third derivative of a(g) wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 366. Suppose -5*z + 965 = 335. Let a = i - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/5 - 0)*(-42)\/21. Put b, 4\/5, -27 in decreasing order.\nAnswer: 4\/5, b, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -4*z + 442. What is the remainder when z is divided by (-93)\/(-7) + (-8)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311234223 (base 5) in base 8?\nAnswer: 42523535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233577 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39825211*r**3 - 1627015.\nAnswer: -119475633*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -12043\nAnswer: 4\/12043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*w**4 - 10*w**4 + 14*w**6 - 132*w**6 - 101*w**2 wrt w.\nAnswer: -14160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 36. Let u be a(6). Suppose u = -c + 306 - 305. Solve 3*d + 4*i + 10 = 0, -2*d - c = 5*i + 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-176))\/(-2*1\/(-15)). Let t(r) be the first derivative of f*r**4 + 3\/2*r**3 + 10 + 3\/20*r**5 + 0*r + 0*r**2. Determine x so that t(x) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 2*r**2 - 4*r + 3. Determine p(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert d0109a (base 14) to base 15.\nAnswer: 932712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -97691068.\nAnswer: 39076427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 21 + 39 = 0. Let y = f - -19. Suppose y*b - 2*j - 3 = j, -3*b + 15 = 2*j. Solve 1 = 4*a - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:51 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 0, -3*d - 4 = -5*j + 9. Solve -d*n - 6 - 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11*d - 10*d + 451 = 0, 877 = 4*g + 3*d. Let j = g + 63. What is the highest common divisor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 470802 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 22. Let k be g(-4). Let b(x) = -14*x**k + 15*x**2 - 3*x + 3*x. Let z(i) = -5 + 26*i + 5 - 5*i. Calculate b(z(y)).\nAnswer: 441*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04959 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2543515795 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(891) - (sqrt(891) + (sqrt(891) - (sqrt(891) + 2))**2)) + sqrt(891) + sqrt(891) + 5).\nAnswer: -72*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -487.533 and 80.9.\nAnswer: -39441.4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -34*l + 466. Solve 6*m = -14 - l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1190\/2847101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a week in hours?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361139 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 120? (a) -0.2 (b) -2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 11*l - 11. What is t(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 34*r - 617. What is the units digit of u(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x)\/x**6)\/(x*x**(2\/3)*x)**(-33) assuming x is positive.\nAnswer: x**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6060866 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -294 (base 12) to base 8\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -45. Let u be (4\/t)\/(4\/(1 + -5)). Suppose 2*c - 12 = -u*c, -5*l + 214 = -2*c. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/180 - y**4\/9 - 7*y**3\/18 + 33*y**2. Factor o(c).\nAnswer: -(c + 1)*(c + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 - q - 1. Let w(s) = -7*s**3 + 12*s + 9. Let k(t) = -6*h(t) - w(t). Let z be k(8). Suppose 3*a - z = 121. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 + d**3\/3 - d**2 + 6*d + 65. Determine q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmccc. What is prob of picking 2 m and 1 c?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 30*f + 21. Let m be k(-29). Let q(r) = -r**2 - 9*r - 11. What is q(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/1)\/(((-28242)\/(-4))\/9). Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*600\/1250*(-120)\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f + 336. Determine c(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1992996)\/(-30015)*(-5)\/4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/30*(-20)\/(-6). Let z = -6 - -6.25. Let b = z - -0.05. Sort w, b, -0.4 in increasing order.\nAnswer: w, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*a**3 + 331*a**3 - 74*a**3 - 69*a**3 - 65*a**3 - 65*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400252 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-15))\/((-3)\/(-6)). Which is smaller: a or 78?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/6)\/u)\/u)**(-29) assuming u is positive.\nAnswer: u**(377\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -115. Let t(r) = -87*r**2 + r - 12. Let d be t(j). Round d to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 2*y. Let k be (-9)\/y*(0 + -2). Factor -3*q**3 + 2*q**k - 3*q + q + 3*q.\nAnswer: -q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15013228, 30026471, 45039714, 60052957, 75066200?\nAnswer: 90079443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368611889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -3854.\nAnswer: -3854.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((-3)\/3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 42 = -10*w. Let k(b) = 22*b - 103. What is the remainder when (-3)\/((-3)\/59) + -2 is divided by k(w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + j + ((3 + 3 - 4)*(3*j + j - 2*j) + 23 - 23 - 17*j)*(2 - 3 - 1) in the form b*j + f and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1619, 1665, 1711?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -265*d + 36806 - 39986 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-2)\/(-2)*3\/6. Suppose -2*k - d*s = 6, 0 = -4*k - s + 6 - 3. Solve k*i - 7 = 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3342 - 103 + 1177 + 7566 + a.\nAnswer: a + 11982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 2*u + 5. Let j(r) = -2319*r**2 - 3914*r + 20. Let x(v) = j(v) - 4*o(v). What is the second derivative of x(p) wrt p?\nAnswer: -4670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244789045 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:11 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:42 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:15 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3306*z + 79 - 42 - 37.\nAnswer: 3306*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.3, 2\/11, 2, 73406 in descending order.\nAnswer: 73406, 2, 2\/11, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Suppose -v = b - 2, 5*b - 1 = -2*v - 3. What is the derivative of 0*o - 8 - 12*o**x + 0*o + v*o**4 wrt o?\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 655 + 667 = 0. Solve 2 - 14 = z*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3\/7 - 7058*r**2\/7 + 3496740*r\/7 - 5229216\/7 = 0.\nAnswer: -2168, 3\/2, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104 greater than 2146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3 + 3*a**2 + 14*a - 14087 wrt a.\nAnswer: 9*a**2 + 6*a + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -0.2852?\nAnswer: -0.2852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 276, 608, 928, 1230, 1508, 1756, 1968?\n\"Answer: -q**3 + 339*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 32 = 2*a. Let p be 81\/4*a\/12. Suppose 44*q**4 - 60*q - 23*q**4 - 12 + 60*q**3 - 63*q**2 + p*q**4 = 0. What is q?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -36*v - 132. Let w be q(-5). Let o = -5 - -41. What is the greatest common factor of w and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20658 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3191?\nAnswer: 638.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 21*i + 3 - 6 - 15*i - i**2. Let j be m(5). Let t(h) = h + 13 - 13 - j*h. Let a(f) = -f**2. Give t(a(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73\/591 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 2:25 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636350.\nAnswer: 2, 5, 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*q = -2*q + 18, 0 = k - 4*q + 10. Suppose 5*o = -k*x - 156 + 649, 0 = 3*o + 15. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - o)*(2 + 3*o - 2) + (3 + 0 - 2)*(-o**2 - 3*o**2 + 8*o**2).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -213 and 31.\nAnswer: -6603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1006911100 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000827164 rounded to six dps?\nAnswer: 0.000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8d196 (base 15) in base 11?\nAnswer: -287581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3605 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/4 + v**4 + 17*v**3\/4 - 15*v**2 = 0. Calculate v.\nAnswer: -4, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 10*t**2 + 2*t + 20. Calculate m(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7025.3+2848630\nAnswer: 2841604.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87483 (base 10) to base 13.\nAnswer: 30a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*h**4\/11 - 509330*h**3\/11 + 305562*h**2\/11 + 183346*h\/11 + 1852 = 0. Calculate h.\nAnswer: -1\/5, 1, 10186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -45, -14, 35, 108, 211, 350, 531?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.188 and -1.28.\nAnswer: -1.52064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 145*s - 214. Give z(-71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 921731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43918 - 1?\nAnswer: 43917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.243 + -0.143. What is the second smallest value in -2\/3, u, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 2*s + 2*u, 5*s + 3*u = -11. Let r be s + 2 - (0 - -1). Solve r = -0*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let l(f) = f**2 + 13*f. What is y(l(h))?\nAnswer: -2*h**4 - 52*h**3 - 338*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 219799 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 28968*z - 2461664.\nAnswer: -4*(z + 86)*(z + 7156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4440 + 3?\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 165 (b) 0.4 (c) 204 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 36*c**2 + 106*c - 339. Let h be d(3). Suppose -70 = 2*x + 336. Let g = h + x. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22502 - -1?\nAnswer: -22501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (31 - 28) + (3 - (7 + -84)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261803 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89278 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 25, 125, 317, 631, 1097, 1745, 2605?\nAnswer: 3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -22. Suppose -3*i + 9 = 3*z, 4*z + 2*i = -h*z + 18. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146 by 14.\nAnswer: -73\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19380 = -63*s - 160*s + 451*s. Calculate the remainder when 3311 is divided by s.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 13. Give r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 1, j: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + f = -2*f - 13, -5*f = -4*u - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 5. Calculate the remainder when h(15) is divided by 6\/4*(-2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000241 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 3*d**4\/8 + 13*d**2 + 12. Let o(r) = -34*r**2. Determine o(b(v)).\nAnswer: -2754*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-90)*35\/(-14)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 44, -6, -64, -130, -204, -286?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18035056 rounded to five dps?\nAnswer: -0.18035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01009186785 rounded to four dps?\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42619264?\nAnswer: 2, 37, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 + 127. What is the third derivative of -874*d**i - 36*d**3 + 1915*d**2 - 961*d**2 wrt d?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 - -79 - (-6 + 3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(80) + -2 + -6*(-1 + sqrt(80) + sqrt(80)) - (sqrt(80) + sqrt(5) + 3 + -6*sqrt(405)))**2 + 5.\nAnswer: 30*sqrt(5) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sppd when four letters picked without replacement from sppppppsspdpdsspss.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 19. What is y(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 7. What is y(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*h - 2\/5*h**2 - 212\/5.\nAnswer: -2*(h - 53)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + 513\/228*(0 + 4). Factor 0 + 0*j + 0*j**3 + n*j**2 - 5\/3*j**5 + 10*j**4.\nAnswer: -5*j**4*(j - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90953566 divided by 45476783?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*w - 9 + 5, 4*a - 2*w + 10 = 0. What is the units digit of (223\/a)\/((-11)\/22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 276 - 324. Suppose -5*r - 4*w = -z, -r = 3*r + w - 85. Suppose 543 + 1377 = 120*s. What is the least common multiple of r and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20552 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61343666 + 106?\nAnswer: -61343560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.6, -9, -0.5 in descending order.\nAnswer: 0.5, -0.5, -0.6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*w + 57, -5*y - 11*w + 65 = -6*w. Solve 0*f - 3*f - y = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421 minus 24214177?\nAnswer: -24212756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 32?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-10)*q*q*q*q**(-9\/4)\/q*q)\/(q**(-1)*q**(-15\/2)))**35 assuming q is positive.\nAnswer: q**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 73. Let x(v) = -4 + 2*v**2 + v**2 + 3 + 1. Calculate h(x(t)).\nAnswer: 9*t**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:55 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -88755 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14586454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4\/4 - 20*v**3 + 839*v**2\/2 - 780*v + 1521\/4 = 0.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -117.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, -2, -65, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802800?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o. Let a(w) be the first derivative of -109*w**3 - 2364. What is a(f(c))?\nAnswer: -94503*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) + -2 + (-1 + sqrt(891) - sqrt(891))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 890.0315ug?\nAnswer: 890031.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30380*k**2*n**2*y + 12*k**2*n*y + 5*k**2*n + 4*k**2*y + k*n**2*y + 5*k*n*y + n*y wrt n.\nAnswer: -60760*k**2*y + 2*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 8*z + 2229. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.28 + 10.72. Sort 2\/11, -4\/5, x in ascending order.\nAnswer: -4\/5, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 9*v**2 + 37*v + 28. Give f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 2*q + 2. Let n be (-3 - (-2 - 1))\/2. Let j be a(n). Suppose 0 = -h - 4*k - 16, 0 = 4*k + 4 + 16. Sort -3, j, h in descending order.\nAnswer: h, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 5, -4.\nAnswer: -4, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1572 + 1512 = -6*m. Let a = m + 744. Suppose 1870 + a = 3*p. Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/(-30) + (-16)\/(-12)*(-183)\/610. Let f be (-20)\/(-4)*-1*1. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:10 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3037864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let m(w) = 29*w + 39. Let n(o) = 23*o + 39. Let k(r) = 5*m(r) - 6*n(r). Calculate c(k(i)).\nAnswer: 98*i**2 - 1092*i + 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 6. Let r(l) = 4*l + 8. Let o be r(0). Calculate s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1354, -1350, -1346, -1342, -1338, -1334?\n\"Answer: 4*b - 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 16. Solve b - r = -4*j - 28, -2*b + 2*j = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10318\/(-2948))\/(-3*35\/930).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -110, -161, -240, -341, -458, -585, -716?\n\"Answer: r**3 - 20*r**2 + 2*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1444*k - 6 - 3*k**3 - 1 - 1443*k to the form b + i*k + y*k**2 + w*k**3 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697*t**2 + 114*t**2 - 347*t**2.\nAnswer: 464*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*s**3 - 73*s - 81*s + 57*s**3.\nAnswer: -368*s**3 - 154*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 9.49\nAnswer: -1.2337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-88)*74\/888?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52861137529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 64*n - 181. What is the tens digit of p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*z - 151*z = 48 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*y - 0 + 14, -5*y + 4*u + 21 = 0. Factor 0*a**2 - 6 - 8*a**2 - 7*a - 2*a + y*a**2.\nAnswer: -3*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:06 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxccv. What is prob of picking 1 x and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -129*w**2 - 8*w + 13. Let h(p) = -127*p**2 - 9*p + 13. Let x(n) = 4*h(n) - 5*t(n). What is the second derivative of x(k) wrt k?\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184293033*s**4 + 206*s**2 + 18*s + 3559?\nAnswer: 4423032792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7101 = m - 0*m + 7097. Let j(i) = -7*i**3 + 12*i**2 - 17*i + 5. Let h(c) = -11*c**3 + 18*c**2 - 26*c + 8. Let d(r) = -5*h(r) + 8*j(r). Calculate d(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.215 + -0.215. Let l = -0.13 - -11.13. Which is the nearest to r? (a) 4 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + 0*t)*(6 - 1 - 2)*(-3 + 1 + 3)*(-27 + 49 - 30).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(5\/6)*((y\/(y*y**30))\/y)\/y assuming y is positive.\nAnswer: y**(-191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.9 + 1.1. Let h = 16 - n. Let g = 1 + h. What is the nearest to -1 in 0.3, g, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1332*l + 160 - 160 - 1334*l. Let j(k) = 28*k - 392. Let n(d) = 2. Let b(w) = 2*j(w) + 392*n(w). Determine v(b(a)).\nAnswer: -112*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (85 + -82 - ((-2 - -2) + 8)) + 6 + -70?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669*r + 95532 = 681*r. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -16 (b) 0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9*l + 1888 = 0. Calculate the remainder when l is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 24*q + 18144 = 0. What is the highest common divisor of q and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -135*y**2\/2 - 40*y + 48. What are the prime factors of z(-2)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.697517 and 14.82.\nAnswer: 15.517517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -23*s - 3\/2*s**3 + 6 - 9\/2*s**2 - 3\/4*s**4. Let g(u) = -5*u**2 - 5*u - 5. Give -7*g(f) + 4*p(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381*z**2 + 339?\nAnswer: -762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-13 + 30 + -66).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - z + 23, 2*z - 5 - 1 = -2*t. What is the second derivative of q + 0*q**5 - q**5 + t*q**5 + q**5 wrt q?\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12371513 and 70.\nAnswer: 123715130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62654, 62649, 62642, 62633, 62622?\nAnswer: 62609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(-5)*s*s)\/s)\/(s\/s**(-4\/9))*(s**(-8)\/s)\/s*s**(-4))**2)**11 assuming s is positive.\nAnswer: s**(-3454\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15*-5*2\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29.8 and 0.22.\nAnswer: -29.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -9*g**2\/8 + 111*g\/4 - 18 = 0.\nAnswer: 2\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 294976485 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-3))\/(2\/(-6) - -1). Suppose -2 = -4*b - 3*f + 2, 2*f = -4*b + 4. Let o be x - b - (-2 - -880005). What is o rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o + 1. Let j be k(-3). Suppose y - j = -w - 6, 0 = 2*w - y + 1. Suppose v - 57 = w*b, 5*v - 2*v + 4*b = 121. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1357 + 3182. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*v - 393*v = 267*v + 412*v - 102180 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdni when four letters picked without replacement from {i: 4, k: 2, v: 1, n: 10, d: 2}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/74 (b) 6 (c) -0.492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivivuvqiqpvvpiii. Give prob of sequence qqv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = -o + 4*o, -4*o = a - 9. Suppose 4*x + 3*y - 33 = 0, o*x + 12 = -y + 31. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9220376320 to the nearest 100000.\nAnswer: -9220400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and 4454.744?\nAnswer: 383107.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 493*a**3*r + 190373*a**3 + 43*a**2*r + 124*a**2 - 816*a wrt a?\nAnswer: 2958*r + 1142238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 375 + 35be?\nAnswer: 3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-33)\/(-129) - (-6 + 4). Let p be (-1)\/3 - (-2)\/6. Does w = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/7, -2318, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = -21. Let t(v) = 30*v**3 - 3*v**2 + 3*v - 3. Let l be t(2). What is the highest common divisor of d and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324623*s**5 + 168*s**2 - 339 wrt s.\nAnswer: 19477380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/120 + g**5\/30 - g**3\/6 - 2*g**2. Let d be v(-1). Calculate the remainder when 33 is divided by ((-68)\/8)\/(d\/(-4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 4. Let u = 4947 + -4948. Let l(f) be the first derivative of -f**2\/2 - f + 2. Calculate u*b(s) - 6*l(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let l(a) = -29*a**2 - 9*a + 2. Determine l(u(g)).\nAnswer: -116*g**4 + 18*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = -4*b + 2*n, 2*b - 5*n = 3*b + 66. Let l = b - -432. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 10 + 5)*(2*v - 2*v - 2*v**2) + 3*v**2 - v**2 - 4*v**2 as z*v + j + s*v**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + 2*q**2 - 2*q + 2. Let r be j(2). Let s = 56 - r. Calculate the smallest common multiple of 4 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 443, 820, 1195, 1568, 1939?\n\"Answer: -t**2 + 382*t - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 3.46. Let o = 24.51 + -0.51. What is the closest to -1\/2 in 0.3, o, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 + 2)\/(3\/2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16185760*f**5*y**3 - 23*f**2*y**2 - 10*f*y**3 + 4049*f*y + 2*y**3 wrt f?\nAnswer: 971145600*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1, 1, 5\/22, -321?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 181, 177?\n\"Answer: -4*i + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20653 (base 12) to base 5\nAnswer: 2324044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*p = 29, -1709945*a - 10 = -1709943*a - 6*p for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2757*w**2*x**4 + 20*w**2 + 18523*w + 611*x**4 - 3 wrt x.\nAnswer: -11028*w**2*x**3 + 2444*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3\/2 - 96*f. Let a(p) = -248*p - 10. Let o be a(-7). Let n(h) = -1726 + 14*h**2 + o. Give i(n(d)).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:58 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*u)*(4*u + 6*u + 7*u)*(0 + 2*u + 0).\nAnswer: 170*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = -2*y - 8, 2*y + 2*c - 18 = 0. Solve x + y*t = 16, 0 = -7*x + 3*x + 2*t - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 348\/48 - 3\/(15 + -3). Let w(y) = -5*y + 11. Let l(s) = 0*s - 2*s - 1 + 6. Calculate p*l(z) - 3*w(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)\/x**(-5)*x**(-11\/3))\/(((x\/x**(-2\/5))\/x)\/x**(-1\/7)*x**(1\/3)) assuming x is positive.\nAnswer: x**(121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -g + 64925, l - 13001 = 13*g - 10*g. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 - 8*z - 3. Let h(o) = 2*o**2 + 2*o. What is 6*h(c) + 2*r(c)?\nAnswer: 2*c**2 - 4*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f**2 - f + (-3*f - 17*f + 0*f)*(-3*f + 6*f - 2*f))*(-16*f + 13*f + 8*f)*(-3*f - f + 6*f).\nAnswer: -180*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from babbbbaaabbaaabaab?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, -2, -0.05 in increasing order.\nAnswer: -2, -0.05, -2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10355819 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 11001110?\nAnswer: 11002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -16. Let l(s) = -3*s - 10. Let f be l(b). Solve 2*a + 5 = -3*j - 2, -11 = -5*a + f*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 621 times -0.093891\nAnswer: -58.306311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108)*2 + sqrt(108))*2)**2 + (sqrt(108) - (sqrt(108) + 2*sqrt(108)*-5)**2) - sqrt(108)*1*4*6.\nAnswer: -1836 - 138*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 740354*t**2 - 7771443*t wrt t?\nAnswer: 1480708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147354422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 50 = -5*q, 20 = 2*q - 0*x - 2*x. Let p(w) = q + 11 - 18 + 3*w. What is the units digit of p(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*t - 649*t = 3*d - 33, -3*t = 9*d - 27 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 165?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 145 - 25. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334407 is divided by 2740.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -31 + 2 + 25\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 13657.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2559014 in decreasing order.\nAnswer: 2559014, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/5)\/f*f*f*f)\/f**(-1\/8)*(f**(-2\/3)*f)**(15\/4)*((f**0\/f)**(-32))**(-1\/14) assuming f is positive.\nAnswer: f**(641\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2357 + -1.7643. What is the closest to 1\/4 in l, -1\/4, -11\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 35*u**2 + 71*u**2 + 2*u**3 - 39*u**2 in the form s*u + h*u**3 + t + a*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 9:01 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 a factor of 1475430001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-3\/10)*g)*g**(-5))**6 assuming g is positive.\nAnswer: g**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkcmkmkkcc. What is prob of picking 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3537 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -53, -112, -193, -296?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 + 4*y**2 - 6. Let u be b(-2). Let j be 5\/((-12)\/4 - -2). Let p(o) = 7*o - 2. Let d(v) = -20*v + 6. Calculate j*d(w) + u*p(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:51 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g**2 + 7*g**2 - 3*g**2 + 5*g - 4*g to t*g + m + q*g**2 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**3 - 4*c**3 - 8*c**3)*((c + 0*c - 7*c)*(1 + 1 + 0) + c + c - c + (1 - 2 + 8)*(c - c - 2*c)) + 1 - 1 + 2*c**4.\nAnswer: 152*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 3, -7, -5 in descending order.\nAnswer: 74, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/2*w**2 + 0*w + 2. Let l(z) = 1. Let s(h) = 3*h + 2. Let x(i) = -2*l(i) + s(i). Calculate x(a(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -7)*(0 + -1). What is the third derivative of m*r**2 + 35*r**3 - 4*r**2 + 75*r**3 - 25*r wrt r?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:40 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29241 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30439062?\nAnswer: 2, 3, 1051, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*j + 122*j**2 - 311*j - 63*j**3 - 121*j**2 + 628*j.\nAnswer: -63*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815348449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2, -1, -1\/7, -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 25*y - 3967. Calculate n(175).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*c = 6*c + 62, 5*k + 58 = 4*c. Let z = -12 - k. Find the third derivative of -3*y**2 - z*y**6 + 4*y**6 - 4*y**6 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2 - 4. Let h be j*(3 - (1 + 0)). Suppose -5*f = -h*s - 30, -2*f - 2*s = s + 11. Put f, -1\/3, 2\/7 in descending order.\nAnswer: f, 2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f - 317*f - 128*f = -31146 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(77) + (sqrt(77) - ((sqrt(77) - 1*sqrt(77)) + sqrt(77)))) - sqrt(77))\/(-6*sqrt(252)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from ttttpmp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, 6\/13, 1, -39, -2\/11, -2\/375?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -618, -932, -1248, -1566, -1886?\nAnswer: -2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(56)\/(sqrt(7) + sqrt(35)\/sqrt(5))) + -4)**2 + (2 + sqrt(19) + 3 - (-3 + sqrt(1216))**2).\nAnswer: -1128 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 8191?\nAnswer: -818d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1728094g?\nAnswer: 172.8094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327093.\nAnswer: 3, 13, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(-3)\/42 - 205\/(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = 2*n + 5700, 2*n - q = -5720. Are n and -2859 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(2) + 2 + sqrt(2) + 5)**2.\nAnswer: 16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32184345.\nAnswer: 3, 5, 29, 241, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6828064 is divided by 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 218, 2410 in ascending order.\nAnswer: -3, 218, 2410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2142879.\nAnswer: 2142879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(1*sqrt(6) + sqrt(6)) + -1*sqrt(486))\/(1*sqrt(108)*-2) + 5)**2.\nAnswer: 65*sqrt(2)\/6 + 1969\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 2160*c + 15365.\nAnswer: -5*(c - 439)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p**2 + 122523*p - 15315 = 0 for p.\nAnswer: 1\/8, 5105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041 - 2199 = -782*t + 647*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -63, -117, -193, -291, -411?\n\"Answer: -11*o**2 + o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120129 is divided by 616.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-1))\/(21\/(-399)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171210 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19c6a + 3?\nAnswer: -19c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3100.0001299 + 3100. What is b rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139391.1 to the nearest 100.\nAnswer: 139400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -44, -104, -188, -296, -428?\n\"Answer: -12*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 322 + -324. Which is the nearest to i? (a) -2\/7 (b) 2\/17 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**12*p)\/p**(-9))\/(p**(-44)\/p**(-23\/4)) assuming p is positive.\nAnswer: p**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 219119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.97 - -17.6. What is m rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96982902.7*5.\nAnswer: -484914513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 615\/(-328) + 2\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -2.1 (c) -1714\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -3\/4 (c) 4\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -3*n - 17, -5*y + 1 = 3*n. Let r(u) be the third derivative of 1\/15*u**5 + 0*u + 0 + 0*u**3 - y*u**2 + 0*u**4. Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -10 - 37 - 6 - -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 484799112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppuu when four letters picked without replacement from {p: 5, u: 3, b: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 381*u - 380.\nAnswer: -(u + 1)*(u + 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5\/16, -9, 1\/2?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -211*g**4\/8 + g**2 + 23*g. Let n(q) = q**2. Calculate c(n(o)).\nAnswer: -633*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246276 divided by 123138?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/45 (b) -51.2 (c) 3 (d) -3\/8 (e) -4 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3661645064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2810 divided by 5.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -3 - (-55 - (34 - 45))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 109. Let i be n(26). Put 261, i, -10 in ascending order.\nAnswer: -10, i, 261","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/3 - (9\/(-54)*0)\/(-1). What is the nearest to g in -0.2, 4\/99, -1\/4?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002508677 to six dps.\nAnswer: 0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1400.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 20, 62, 142, 272?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -557 + 556. Suppose -y - 12 = -5*y. Suppose -5*q + 16 = 5*a - 3*q, 4*a - y*q = -1. What is the nearest to a in 3\/5, p, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 + 5*g - 7. Let y(u) = 2*u**2 - 2*u + 3. Calculate -2*r(i) - 5*y(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)*c**32\/c*(c**(-2))**(-25) assuming c is positive.\nAnswer: c**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15 - -185) + -7 + 1. Is n bigger than 655\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -96*z + 1412. What is t(20)?\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1277 - 1279. Sort 45\/8, l, 2.\nAnswer: l, 2, 45\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.384 and 801.\nAnswer: 1108.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 + 0 + 0 + (-4 + 4 - 2*r)*(-1 - 2*r**2 + 1) + (-4*r - r + 4*r)*(-r**2 - 1 + 1) to the form b*r + w*r**2 + u + c*r**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*f + 11 = -5, 0 = -4*v - 3*f - 27. Let k(m) = -4*m**3 - 5*m**2 + 8*m - 1. Is k(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129ae (base 16) to base 2.\nAnswer: 10010100110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = q. Suppose h + 16 = q. Solve h*w = 14 - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let r be j(-5). Suppose 29 = -u + r*c + 114, 276 = 3*u - 2*c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Let a = h - 2. What is the highest common factor of a and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 3249*b**2 + 9708*b - 12960 = 0. Calculate b.\nAnswer: -1080, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35982?\nAnswer: 2, 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 7. Let o = j - -7. Let g = 5 - 7. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 - 76\/80. Let b(c) be the second derivative of 0*c**2 + 0 + 5\/12*c**4 + 2*c + 0*c**3 + g*c**5. Determine b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99560.\nAnswer: 2, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 460786 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: Let z = 30 - 26. Let r be 167\/8 + z\/32 + 0. Let g be 4\/(-3)*r\/(-14). Solve 0 = -4*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 1 + 9*i**3 - 9*i**3)*(2 + 1 - 1) + (-18*i**2 - 6*i**2 - 5*i**2)*(i - i + i**2).\nAnswer: -27*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 11. What is the remainder when i(7) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -57699933?\nAnswer: -1\/57699933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54566088*t**3 - 171977665*t wrt t?\nAnswer: 327396528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52771\/62656 - -135\/178. Find the common denominator of p and 59\/4.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - t + 223, t - 165 = -2*b + 276. Suppose b + 307 = 3*n - 3*z, 3*n + 2*z = 535. Let f = n - -16. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-0.0272.\nAnswer: -0.007888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3002088737.\nAnswer: 3002088737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4815 = 6*c - c. Suppose 3*z = 5*n - c, -3*n - 2*z = -3*z - 581. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 5, a: 5, p: 1}. What is prob of sequence at?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 6. Let u = -37 + 35. Let d(y) = y - 1. Give u*d(j) + v(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 592 * -19\nAnswer: -11248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.6994513 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238392081 divided by 208567.\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 18 = -2*n. Let k(d) = 0*d**3 + 3 + d**2 + 2*d + 1 + 4*d**3. Is k(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2852984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 3.5, -6573460?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/9106 and 56\/11.\nAnswer: 100166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b**(-1\/5)*b)\/b))\/b*b**(-1\/10))**(1\/54))**(-1\/40) assuming b is positive.\nAnswer: b**(-11\/21600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:43 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.62 + 17.52. Which is the closest to j? (a) 0 (b) -0.138 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 2*d**2 + 4*d**2. Let r(q) = q - 1. Let z be r(3). Let c(v) = -6*v**z - 313 + 313 + v**2. Calculate c(g(w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 69*d**2 + 370*d + 1. Let y be l(-74). Let b be (1 - 25\/10)*3\/18. What is the closest to 4 in -0.2, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 742187 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2503607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 728*w**2. Let v(n) = 6*n**2. Determine x(v(f)).\nAnswer: 26208*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1320143 (base 6) to base 2.\nAnswer: -10001101110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -687 divided by -4.\nAnswer: 687\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7475 divided by 4203?\nAnswer: -7475\/4203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y - 4 = 54*y - 2*k, 36*y + k = 79 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -d961?\nAnswer: -d953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n - 8*n - 4*n + (-4 + 2 - 2)*(-n + 4*n + 0*n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 divided by -20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 662*p**2 + 48310*p - 1172. Calculate a(-73).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f + 27. Suppose -3*q = 2*d + f, -8 = 5*d - 2*d - q. Let p be (3 + 0)*(-5)\/d. Calculate the highest common factor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1385530263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d - 8*d + 9*d)*(4*d**2 + 2*d**2 - 4*d**2)*(-d**2 + 5*d**2 - 2*d**2).\nAnswer: -72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -19. Let y = -66 + v. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Sort -0.01, h, -3 in decreasing order.\nAnswer: h, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161564814 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 7. Let l(j) = -2*j - 3. Let g(s) = -14*l(s) - 6*n(s). Let p(w) = w**2. Let k(x) = -23*x**2. Let b(z) = -k(z) - 46*p(z). Determine b(g(r)).\nAnswer: -92*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33133 + -13?\nAnswer: 33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5960*c**2 - 2*c - 4*c + 6*c + 5927*c**2.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2099 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2 + 14395*w - 6101250 = 0.\nAnswer: -3254, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-46*(-32)\/(-12))\/(3\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.86204l to millilitres.\nAnswer: 25862.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 140, 211, 282, 353, 424?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2550 - 2572. Which is the closest to -5? (a) x (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 162. Suppose 5*x = 3*g + 625, -4*x + b*g + 625 = x. Is x a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4320)\/101088)\/((-5)\/(-2)*1\/3).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -28, -32, -36, -40?\n\"Answer: -4*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156518 and -0.5172?\nAnswer: -80951.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4 + 70 = 11*i, -3*h - 2141*i + 34 = -h - 2136*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-9))\/(f*f**(-3\/4)*f))\/((f\/f**6*f)\/f*f**(-2\/7)))**(-2\/47))**(-30\/7) assuming f is positive.\nAnswer: f**(5895\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j. Let r(n) = j - 14*n + 0 + 40*n. Is r(1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a = 67*a + 54 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(432))*1.\nAnswer: 5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2939 divided by 2939\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -24. Sort 3, 2, q in decreasing order.\nAnswer: q, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153226*o**4 + 23214?\nAnswer: -612904*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 2*t**2 + t. Let f be v(1). Let j(c) be the second derivative of f - c + 1\/2*c**2 - 3\/8*c**4 - 7\/12*c**3. Factor j(g).\nAnswer: -(g + 1)*(9*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w - 54. Let k be n(15). Suppose -k = 2*d - 51. Suppose 0 = -4*g - g + 2*i + 23, 5*i - 20 = -3*g. Solve g*v - 35 + 10 = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10*t + 11*t + 36*t.\nAnswer: 37*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - q + 5 - 3*q. Let y(j) = -1. Suppose 0 = 2*u - 0*u - 8. Suppose s + 5*x = -19 - 2, u*x = -16. Determine s*c(k) - 5*y(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 4552142*p - 9104214*p + 4552059*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4980130?\nAnswer: 2, 5, 498013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2324.93 litres?\nAnswer: 2324930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2946*o + 2. Let f be s(-1). Suppose 0 = -2*z, 8*c = 4*c + z + f. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -3*y, -4*k = y - 3 - 9. Suppose y = d + 13 - 22. Suppose -24 = -2*q - 2*q. What is the greatest common divisor of q and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.37 - -1.97. What is the fourth biggest value in -0.2, g, 4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 12. Let d(w) = -12*w**3 - w**2 - w. Let a be d(-1). Let g be b(a). Solve 0 = -3*y - 4*u - 7, g = y + 2*u - 3 + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 189537539.\nAnswer: 56861261.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71006 and 1274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**2 + 2*q + 2. Suppose -4*k + 8 = 0, 0*v = -2*v + k - 10. Let z be ((-2)\/v)\/(10\/(-40)). Let y be j(z). Solve 5*t = -y + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomodmdrmdmvo. Give prob of picking 1 r and 2 m.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 109*q + 525. Calculate f(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 56*d - 54*d + 8*d + 2.\nAnswer: -102*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c + 57*c - 1176 = 0. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 + 0*l**3 - 3*l**3)*(0 - 4*l + 0) + (-4 - 2 + 4)*(7 - 3 - 2)*(-3*l**4 + 7*l**2 - 7*l**2).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let q(r) = 268843*r. Determine p(q(t)).\nAnswer: -537686*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3040 and 3618360.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1051 - -661. Calculate the common denominator of (55\/y - -4) + -5 and 13\/87.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8428786 minutes?\nAnswer: 50572.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7613292 litres?\nAnswer: 761.3292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 19. Let t(g) = -10*g**2 - 51*g + 7. Let l be t(-5). Suppose l = 4*c, -4*s + 8*c + 282 = v*c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 458 and 8?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 851 and 177859?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50)\/75*(-258)\/4.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 11. Let t(i) = -2*i - 6. Let v(b) be the second derivative of -3*b**3 + 7*b**2 - 8*b + 4. Let g be v(1). What is g*n(r) + 7*t(r)?\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15643, 15642, 15641?\n\"Answer: -v + 15644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -45*t + 12012. Calculate the highest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89930 divided by 5.\nAnswer: -17986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 9) to base 7.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z. Let y(q) = -9*q. Let p(k) = 3*f(k) - 5*y(k). Let d(r) = 7*r**2. Calculate d(p(g)).\nAnswer: 252*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -39, 2 in ascending order.\nAnswer: -39, -31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h + 0 + 2\/3*h**4 - 1\/4*h**5 - h**2 - 1\/6*h**3. Factor z(f).\nAnswer: -(f - 1)**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 114066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 203 and 0.079.\nAnswer: 203.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -19 + -1 - -15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 34*j**2 + 1480*j + 4399. Determine f(38).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 585952451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68390592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*g*o**2 - 5813*g*o + 2*g - 4666001*o**2 with respect to g.\nAnswer: -66*o**2 - 5813*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -21, -1, 9, -158?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*d - 3*r - 2*r, 3*d + 41 = -42*r - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7161299 decades?\nAnswer: 0.07161299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404219*y - 4*y**2 - 404219*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 9*m + 6. Calculate f(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*w - 7, -w + 8 = -2*x + 4*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 0*i**2 - 6*i**2 + 7*i**2.\nAnswer: i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = 9. Let q(w) = u*w - 3 + 2 - 2 - 6. Determine q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(156) + 2*(sqrt(156) + -2*sqrt(156)) + 2*2*sqrt(156))\/(sqrt(84)\/((sqrt(35) + (sqrt(35) - sqrt(175)\/sqrt(5)))\/sqrt(5))))**2 + 2).\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/23449857 and -52\/15.\nAnswer: 117249285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, r: 5, j: 1, q: 3, i: 1}. What is prob of sequence rqq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 + 8*t**2 - 9*t. Let w(r) = -10*r**3 + 24*r**2 - 28*r. Let s(z) = 7*l(z) - 2*w(z). Let d = -27 - -34. Calculate s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -40c3ef?\nAnswer: 40c3f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5624480 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 5*l - l**2 - 5*l**2)*(1858*l**2 - 1208*l**2 - 1025*l**2).\nAnswer: 375*l**4 + 1875*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.4 - -12. Sort -0.1, b, 3 in descending order.\nAnswer: 3, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -4*l + 121. Let u be (0\/(-3))\/4 - l. Find the second derivative of -3*r - 47*r**3 + 15*r + u*r**3 - r**4 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - w - 26, 5*w - 110 = -3*r. Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -719.8579 rounded to 1 decimal place?\nAnswer: -719.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 1, v: 6, b: 3, i: 2, l: 2}. Give prob of sequence ibbl.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)*l\/l**(-8)*l**(-6)\/(l\/l**(-1)) assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(64)\/sqrt(4)) + -4)**2 - (sqrt(320) + (3*-3*sqrt(320))**2 + -5)) + 0.\nAnswer: -103591\/4 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.56 + -567.\nAnswer: -567.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/64 and -79\/277576.\nAnswer: 2220608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 78 = 4*r, 4*y - 6*r + 205772 - 205819 = -r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*2*sqrt(192) + -2*sqrt(192)*-6)**2 + 4*(-3 + sqrt(3)*1 + sqrt(3) - (-5 + sqrt(12)\/sqrt(4)))**2).\nAnswer: -73896 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.4 (b) 4 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 587*b**2 - 219*b - 86. List the prime factors of y(9).\nAnswer: 2, 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 + -4.54. Let m = -3.46 + -0.84. Let l = m + 4. Which is the smallest value? (a) -2 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10726*d = 10723*d - h + 39, 3*d - 15*h + 345 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/(-2*35\/20)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/27 and -109\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.59*5\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 21*m**2 + 11*m - 34. Let n be p(-6). Let q be 160*-2*2\/8. Let l be (1\/(-2))\/(2\/q). Solve n*c + l = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 17 = 63*i - 432 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7*p + 8 = 0. Let j(f) be the first derivative of -15*f**2\/2 + 10*f - 6. Let n(t) = -5*t + 3. Let s(y) = -3*j(y) + 10*n(y). Give s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7072\/238 - 4\/(-14). Suppose 1253 = v*p - 23*p. Does 47 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + t + 86*t**3 - 5*t - 85*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2785*n**2 - 13411*n**2 - 2916*n**2.\nAnswer: -13542*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24*4282873\nAnswer: -102788952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 - 2*t + 20. Let s be d(0). What is the units digit of 2*((-4)\/s)\/(8\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 69. Suppose -3*z + 5*y = -69, -2*z - 6 + 68 = 2*y. What is the least common multiple of z and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909.938um in centimeters?\nAnswer: 0.6909938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 86*r - 408. Give f(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 + 3*q - 1. Let l be v(-4). Solve -l*c + 4 = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14682024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8282?\nAnswer: 2, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 3. Let t = -691 + 977. Suppose -d*h = 3*k - 770, 0 = 3*k + 3*h - t - 479. Round k to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyvgyygvygygyvgv. Give prob of picking 2 y.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 2*r + 8. Let u be k(-8). Let z be u\/30*15\/(-2). Suppose -5*t = -z*t + 15. Solve w = t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.71 (b) -0.19 (c) -522 (d) 1\/4 (e) 3 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*d - 45365, 19*o - 3*d + 36291 = 23*o. Is 187 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4430 + -1?\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(p - 5*p + 2*p)*((2 + 3 - 3)*(1 - 6 + 2) + 37 - 85 - 30).\nAnswer: -168*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -145, -247, -301, -307, -265?\n\"Answer: 24*p**2 - 174*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*w + 8, 5*w + 4*b - 7 = -38 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 3*c**2 + 2*c**2 + (2*c**2 + 2*c**2 - 2*c**2)*(301 - 190 + 59) + (-8*c - 11*c - 3*c)*(0*c + 2*c + 0*c).\nAnswer: 295*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569056.\nAnswer: 2, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-270)\/(-21) + (-2)\/(-14). Suppose 4*z - 15 - u = 0. Is -1 + z\/(28\/16) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/3 + 9313030*v = 0. Calculate v.\nAnswer: -13969545, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + i = 21*l + 2, 5*i = -3*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(2\/12*-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:44 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.605489389 + 14.536629841. Let k = w - 18.15312. Let m = -0.011 - k. Round m to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.476849 microseconds in nanoseconds?\nAnswer: 1476.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let u(h) = -5*h**2 + 4*h - 3. Let k(i) = -2*n(i) - u(i). Let j be k(2). Let t(q) = -3*q - 1. Let f(g) = g. Give j*f(m) + 2*t(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + 2*b - 2. Suppose 0 = 2*n + 1 + 3. Let a be (1 - 2) + (-4 - n). Is 7 a factor of i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - f)*(6*f**3 - 7*f**3 + 0*f**3 - 66*f**4).\nAnswer: -66*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 374399 divided by 246\nAnswer: 374399\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 2, o: 3, m: 7, g: 1, n: 4}. Give prob of sequence nmmu.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26623\/3 - 8875. What is the nearest to 1\/2 in -0.2, 3, o, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 + 9*g**3\/2 - 30*g**2 + 88*g - 96.\nAnswer: -(g - 6)*(g - 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) 0.3 (d) -1\/4 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000514 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 33. Suppose 2*u + 4 = w, -2*a + u - 236 = 922. Round a to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14431962793 + 0.\nAnswer: 14431962793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3033241\/603 - -15091\/3. Find the common denominator of p and 26\/469.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 256733482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.8 + -1.3. Let w = -13 - -21. Let d = c + w. Is d greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-4.6864\nAnswer: -0.23432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/2 + 5*c - 5. Let z(n) be the first derivative of d(n). Give z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*28\/42)\/15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*l + 43, -3*n + l + 34 - 3 = 0. Suppose 6*c - 2*q - 82 = 2*c, 4*c - 5*q = 97. What is the highest common divisor of c and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 80?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*((sqrt(114) - (sqrt(114) + (sqrt(114)*-2 - sqrt(114)))*5) + sqrt(114))\/(sqrt(96)*3))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 71. What is the remainder when 52 is divided by (-3)\/5 - o\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138\/223 - -101221\/1115. Let d = y + -91. Let m = -8 - -6. What is the nearest to m in d, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 - 585 + 292 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 w when four letters picked without replacement from {j: 4, w: 4, b: 2, c: 2}?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/19)*b**(-16)*((b*(b\/((b\/b**(-13))\/b))\/b)\/b)**(6\/25))**(-16) assuming b is positive.\nAnswer: b**(138512\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*sqrt(99)*1 - 1*-1*sqrt(99))\/(-6*(sqrt(225) - (sqrt(225)*-2 + sqrt(225)) - sqrt(225))))**2.\nAnswer: 269\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 69, -1, -3 in descending order.\nAnswer: 69, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-145)\/(-174))\/5)\/((-6)\/(-16))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 25 + 6. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -86. Let w(s) = s**3 - 4*s**2 + 4*s + 1. Let o be w(3). Is 33 a factor of 2656\/n + o\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*u - 8 = -4*u, -5*t + 10 = 5*u. Suppose t = a + 2*a + 42. What is the units digit of 56\/12*(-12)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13480 - -13484. Solve -w*r + 4*r - 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*u + 21 = 0, w + 18 = 2*w - 5*u. Let a be (-30)\/16*-2*-4. Let f be -1 + (w\/3 - a). Solve 2*y = 3*m - f, 3*m + 5*y = 2*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -46.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 48*l + 176. Let b(d) be the first derivative of -l + 1\/3*d**2 - 4\/9*d**3 + 0*d + 1\/6*d**4. Determine r so that b(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4 + -86*15\/(-320)). Solve -z + 24 = -5*l, 5*z = 4*l + z + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1621 and -1.39472?\nAnswer: -2260.84112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 4. Let u(v) = -14. Let x(l) = -5. Let k(p) = 4*u(p) - 11*x(p). Let g be (-30)\/(-40) - (-1)\/4. Calculate g*z(a) + 6*k(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3154, 2922, 2678, 2422, 2154, 1874?\n\"Answer: -6*r**2 - 214*r + 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10272, 10270, 10278, 10302, 10348, 10422, 10530?\nAnswer: 10678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-441 + -7)\/16 + (-10*33\/(-110) - -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 12.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10183, 10444, 10707, 10972?\n\"Answer: n**2 + 258*n + 9924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 18*m**3\/7 + 195*m**2\/7 + 291*m\/7 - 54\/7 = 0.\nAnswer: -9, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165704 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(106*i + 74*i - 43*i) + 0*i - i - 2*i.\nAnswer: -140*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1779\/270 + -1 + (-16)\/72 and -109\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78909 + 5538.98678\nAnswer: -73370.01322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -760.999359 + 761. Round r to five decimal places.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f - 56. Let q(n) = -n. Let r(x) = h(x) + 2*q(x). What is the hundreds digit of r(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*i**2 + 153*i**2 - 46*i**2 - 36*i - 56*i**2.\nAnswer: 3*i*(i - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3351 is divided by 3351.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w + 423. Calculate c(-85).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1614596, -1614601, -1614604, -1614599, -1614580, -1614541, -1614476, -1614379?\nAnswer: -1614244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 15 = 4*i - 2*y, 4*i + 2*y - 20 = 0. Let t(n) = 2*n + 4. Let m be t(i). Calculate the highest common divisor of m and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457590, 458166, 458742, 459318, 459894, 460470?\nAnswer: 461046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 1. Let l(f) = 2*f + 5. Let c be l(-3). Let p be m(c). Which is smaller: p or -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43)\/(-88) + 10\/(-80) and ((-2)\/(-21))\/((-13616)\/1128 + 12).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7 + (-26)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.036 in -2, 2\/41, 2\/47, -3, -0.09, -0.05?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24335 (base 6) to base 5.\nAnswer: 103322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/4 and -33\/2213897.\nAnswer: 8855588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 15*m + 32. Let z be v(-10). Does -122\/7 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -23. Suppose 0 = m*v - v. Suppose v = -h - b + 5, -2*h + 4*b + 25 = 3*b. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/142?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, 8, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**8\/84 + 11*i**7\/105 - 7*i**5\/60 - i**3\/2 + 59*i**2. What is the third derivative of v(b) wrt b?\nAnswer: -240*b**2 + 528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 - -45.73. Let r = o + -45.8. Which is the closest to 0? (a) r (b) -5 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412 divided by -4\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/184 and 69\/20.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 135 - 123 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 852300236069.\nAnswer: 852300236065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 30670120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*a + 2*a + 32, 5*g - 75 = 4*a. Suppose 0 = 7*b - g*b + 20. Suppose 4*l + 122 = 2*y, b*l = y - 14 - 62. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/64962560 and -31\/117120.\nAnswer: 194887680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s - 4. Let h be g(-4). Suppose -n + 4 - 3 = h, -3*q - 4*n + 358 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3)**(-28)*k**15*k*k*k**(-1\/2) assuming k is positive.\nAnswer: k**(-191\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -g + 728. What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + z. Let c be w(1). Let p be 1\/c + (-13)\/4. Let x(s) = -s**2 - s + 2. Let k be x(-3). Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.000026\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 336.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - v**2)*(4*v - 4*v + v**2) + 6*v**4 + 0*v**4 + 0*v**4 + 2*v**4 - 2*v - 20000*v**2 + 20000*v**2 + 2*v**4 - 2*v**4 + v**4.\nAnswer: 8*v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8007, 8006, 8005?\n\"Answer: -z + 8008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19319225 to the nearest integer?\nAnswer: 4395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1295 - -1213. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*f + 6 = -0*x, 0 = -5*f - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007306 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + 25 - 14 - (20 - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22453?\nAnswer: 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10223442 + -32?\nAnswer: -10224024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -36. Suppose 5*v = 2*v + n*s - 665, -v - 227 = 2*s. Let k = -126 - v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/60 - 4*q**3\/3 + 6*q**2. Let x be p(7). Suppose -t + x + 34 = 0. Which is smaller: 76 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t - 4. Is t\/3*111\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/3 (c) -23 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -h, -i + 63 = 5*h - 5. Suppose h*t = t + 52. Differentiate c**2 - 28*c**4 + 16*c**t + 16*c**4 + 35 + 2*c**2 with respect to c.\nAnswer: 16*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37c71b9 (base 13) to base 12\nAnswer: -5a0b472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29425, -58835, -88245, -117655, -147065, -176475?\n\"Answer: -29410*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9650198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = f - 34, 5*n = f + 5. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*f + 3*y, 2*f + 0*f + 5*y = -2. Suppose q + 2*v = 3, 9 = f*q + 3*v - 8. Solve -q*l = -3*b - 11, -b = -5*b + 3*l - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348 + -5914\/17. Are -1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 - (12 + (-12 - -4)) - 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 350676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53890, -107399, -160922, -214465, -268034, -321635, -375274?\nAnswer: -428957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12538602 and 5562.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -10592283164?\nAnswer: -10592283162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:15 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153, -31, -3\/5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36667482 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 3*f. Find the third derivative of -5*c**f - 2*c**2 + 0*c**2 + 4*c**5 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.82686 * 0.5.\nAnswer: 5.91343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5963389 plus -13733709?\nAnswer: -13733709.5963389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.375 - -1.38. What is p rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -19 + 10 + 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/9, -240 in descending order.\nAnswer: -2\/9, -0.3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*f = 2776 + 5494 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 10 - 5 - 18*u + 5 - 21.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -l - 4, 2 - 1 = -4*o + 3*l. Is o >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*i**3*n**3 - 49*i**3*n**2 - 2*i**3 + 2*n**2 wrt n?\nAnswer: 744*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -283, -615, -1089, -1711, -2487, -3423, -4525?\n\"Answer: -i**3 - 62*i**2 - 3*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*s**2 - l**2*u - 3*l*s*u - 39*l*u - 18*s**2*u + 2*s**2 wrt s?\nAnswer: 4*l**2 - 36*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.98 + -0.02. Let x = -45298\/567475 - 4\/22699. What is the smallest value in p, x, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40884.87 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3 - 7*d**2 - 5*d**3 - 5*d**3 - 2*d**3 wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - f8?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-370 - -377) + (-3 - -2) + 10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-1)\/(-3) + -1). Suppose -87 - 53 = -2*b. Suppose -5*h = v - 32, -5*v + 0*h = -5*h - b. Solve 4*j + d = -v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.2. Let k = 73 + -68. What is the third biggest value in o, 1\/2, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403997.2l to millilitres.\nAnswer: 403997200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43436\/7 or 6204?\nAnswer: 43436\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**3 - 7*f**2 - 186*f. Let w(s) = 4*s**3 + 2*s**2 + 62*s. Give -4*b(v) - 14*w(v).\nAnswer: -4*v**3 - 124*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(275\/(-150)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 8*w**2 - w + 2. Give b(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*v + 8, v + 7 = 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0 + 0*g + 77*g**2 + 13\/24*g**4 + 2\/3*g**3 - 1\/5*g**6 + 0*g**5. Find the second derivative of m(d) wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*o - 203 - 145 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y*y\/(y**(2\/27)*y)))**(-3\/17)\/((y*((y*y*y*y**(1\/8)*y)\/y*y)\/y)\/(y*y**(-2))*(y**1)**0) assuming y is positive.\nAnswer: y**(-6289\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/25 or -14489?\nAnswer: -14489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -10*d - 45\/2*d**2 - 25\/4*d**4 - 192 - 20*d**3. Find x such that g(x) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/52)\/(2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82726 - -207085. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 23*c - 24. Let n = 36 + -32. What is the remainder when q(n) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/33396 and 97\/276.\nAnswer: 33396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.62 - 19. Let r = v - -0.5. Let m = r - 0.02. Which is the third smallest value? (a) m (b) -3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 - 52*h. Let g(x) = 2*x**2 - x. Give -b(y) - 4*g(y).\nAnswer: -2*y**2 + 56*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145394 - -145504.379. What is a rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2397 and 693447.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from lccccl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -939 + 1042. Sort -5, 1, 3, z in ascending order.\nAnswer: -5, 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.053 - -8.147. Let o = -24.1 - -12.1. Let v = o + h. What is v rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o = 0. Let a = o + 4. Suppose 2*m = -4*r + 1 + 57, -a*r + 43 = -3*m. 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(j) = 0 - 6 + 58657*j**2 - 58655*j**2. Let k(x) = 33*x**2. Determine k(z(y)).\nAnswer: 132*y**4 - 792*y**2 + 1188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**10*p*p**(-7))**25*(p**(-4)*p\/(p**(2\/25)*p*p))\/((p**2*p*p)\/(p**(-6)*p)) assuming p is positive.\nAnswer: p**(2773\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/1715 and 20\/6661403.\nAnswer: 33307015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 4. Let u = 3.8 + 1.2. Let s = -0.3 + 0.6. Put s, h, u in ascending order.\nAnswer: h, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 63*m - 14. Give c(-5).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/94832 (b) -4\/3 (c) 0.145 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-1134)\/280 - -1*4)*-22). Put 3\/4, 8, d in descending order.\nAnswer: 8, d, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/9 - (-3)\/27. Find the third derivative of 898*w**2 - 899*w**v - 20*w - 149*w**4 - 2*w**3 + 58*w**4 wrt w.\nAnswer: -2184*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4833037 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10\/2)*(-1)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87740388226 - -87740388324.099998454. Let z = 98.1 - b. What is z rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by -8.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 - 26*d + 14. Let q(l) = 2*l**2 - 6*l + 1. Let s(w) = h(w) - 4*q(w). Give s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -3, -188\/57 in decreasing order.\nAnswer: 2\/41, -3, -188\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6282929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3402 and -1.8?\nAnswer: -6123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evle when four letters picked without replacement from {e: 6, l: 1, f: 4, v: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 692622?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24 - 30*t**2 + 128*t + 5*t**4 + 3*t**5 - 255*t + 3*t**3 + 115*t + 7*t**4.\nAnswer: 3*(t - 1)**2*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3159*g + 88610. Determine r(28).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + 561. List the prime factors of z.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7365851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28366573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 5\/4, 175, -4, -3, 3?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111110011010111011 (base 2) to base 10.\nAnswer: 1304251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/24*(-6908)\/(-1727)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*i, -3*c = 2*c - 5*i. Sort -5, 2, c, 48.\nAnswer: -5, c, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14066997*s**3 + 31440700*s**2 wrt s?\nAnswer: 84401982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13223742 divided by -4407914?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 1.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 101 = -5*o. Let z(w) = 7 - 2*w**2 + 10*w - 4 + w**2. Let g be z(10). Solve o = q + g*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3 - 13. Let p(s) = -10*s - 41. Let n be p(-5). Let x = n - o. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iye when three letters picked without replacement from efyicfcifffeiffiii?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwlm when four letters picked without replacement from {l: 2, d: 3, z: 1, m: 2, w: 2, c: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 3*u**2 - 2*u - 2. Let m be w(-3). Suppose 3*x - 5*x = -m. What is the smallest common multiple of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = w + 2*v - 0*v, -5*v = w - 19. What is the least common multiple of w and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 344 (b) 0.5 (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18203)\/(-178760))\/(-167)*8\/(-1)\nAnswer: 1\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 11:30 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 14*i - 7. Give w(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Suppose k = 11*f - 9*f - 54. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-8)\/j)\/j*j**(-3\/7)\/j*j\/j**(-1)*(j**8\/j*j)\/j assuming j is positive.\nAnswer: j**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6*w - 33 = 0, 3*f - 27321 = -4*w - 27350 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1169 - -1162. Suppose 3*z - 5*x - 8 = 0, -5*z - x + 13 = -19. Let o(v) = v**2 + 7*v - z + v - 4*v + 2*v. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 864735713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 12901*m + 12901*m. Let d(k) = -9*k + 8*k - 12*k. What is c(d(z))?\nAnswer: -338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 - -252. Let c = -449 + 760. What is the remainder when c is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -16*n**3 + n**2 - n - 2. What is the units digit of u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -574.6 + 13.6. Let u = f - -561.000000421. Round u to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253858100?\nAnswer: 2, 3, 5, 11, 53, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 1848?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3914.2 - -3915. Which is the biggest value? (a) -5 (b) -15 (c) y (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*2)\/(21413\/(-1311)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {n: 1, g: 1, v: 1, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -79.5.\nAnswer: 39.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 3) in base 15?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 + -0.2. Let u = 169657 + -169658. Which is the third smallest value? (a) u (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*u + 269 = 6*u, -207 = 3*q - 4*u. Let z be (-13)\/(q\/160) - 2. Solve 0 = z*a - 26*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + -77. Let k be (14\/10)\/((-168)\/(-10360)). Let t = x - k. Which is the closest to -1? (a) 20 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.068 (c) 0.1 (d) -12\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*c**2 + 707*c**2 + 303*c**2 - 90*c**2.\nAnswer: 1299*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13760001 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 2, c: 8}. Give prob of picking 1 e and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7) + 0))**2*1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22482*y + 6 - 11321*y + 18131*y.\nAnswer: 29292*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11023212203 (base 4) to base 13\nAnswer: 3872c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*(-2856)\/(-84)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 664 + 296. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21686779 or 21686794?\nAnswer: 21686779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 178. Let z = k + 261. Suppose 0 = 3*j - z + 11. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1c?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2050 + 83*j**2 - 17*j**2 - 2052 to o*j + t*j**2 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c - 90. Calculate a(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjjsmjsjsmjs. What is prob of sequence ssm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 3)\/(-1 - 0). Suppose 4*n = 8, -4*y + 7*n - 5*n + 4 = d. What is the second derivative of 3*o**3 - 3*o**3 - o**5 - y*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1372275 and 361125?\nAnswer: 6861375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.507 + 14.507. Let q = 15.7 + -29.4. Let p = q + h. Which is the third smallest value? (a) 1 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.85526 + -0.03016. What is n rounded to two dps?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, y: 2}. Give prob of picking 1 y and 1 t.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20352296567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -27*o**5\/5 - 11*o**4\/4 + 569*o - 1639. What is the first derivative of j(v) wrt v?\nAnswer: -108*v**3 - 33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065697 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 4, -w = -4*y + 2. Let i(u) = 16*u**2 - u - 54. Is i(w) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82830211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238*m**2*w**2 - 1284*m**2*w - 1902*m*w**2 - 858*m*w - 5*m - 7*w**2 wrt w.\nAnswer: -476*m**2 - 3804*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/3 - 416*o**3\/3 - 138*o**2 = 0.\nAnswer: -207, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 + 413.8. Let f = t + -33. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -91*y + 1788. Give g(20).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/107 + 199\/535. Let z = 30.6 + -26. Let s = -5 + z. Which is the third biggest value? (a) s (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(2299)*-1 + (2 + sqrt(114)\/sqrt(6))**2)*4 + 4*sqrt(76)\/(sqrt(32)\/sqrt(2)) + 5.\nAnswer: -22*sqrt(19) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131832 is divided by 25913.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, -16.\nAnswer: -16, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 10:26 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3\/4 (c) -2229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p**4\/15 + 2594*p**3\/15 + 108022*p**2\/15 - 1154882*p\/15 - 112908\/5 = 0.\nAnswer: -97, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -45. Suppose 2*v - 20 = 2*u, z*u - 4*v + 17 = -3*v. Let x = u - -17. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46450\/(-66888)*(-12)\/10?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4 - 5124*f**3 - 164736*f**2 = 0.\nAnswer: -1248, -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -365*f**3 - 38*f - 13111. Let j(s) = 122*s**3 + 13*s + 4375. Let u(x) = -17*j(x) - 6*l(x). Find the first derivative of u(y) wrt y.\nAnswer: 348*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2 - 5 - 6*s + s**2 + 10. Determine p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 3, -2.6, -22.05 in ascending order.\nAnswer: -22.05, -2.6, -1\/12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -307, 0, 1.\nAnswer: -307, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11*(-12)\/18)\/(((-4)\/3)\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab (base 16) in base 2?\nAnswer: 110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 14. Calculate t(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i + 4*s = 69*i - 7, -2*s + 19 = 5*i. Solve 5 = j, -k + 9*j - i*j = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Let o(a) be the first derivative of 0*a + 1\/4*a**c + 0*a**2 - 1 - 2\/3*a**3. What is the third derivative of o(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -2\/15 (b) 4 (c) 24 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Suppose 0 = -o - 5*s - 16, h*o + 3*s - 40 = -10. Let u = o + -5. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -18*s + 240. Calculate the lowest common multiple of s and 5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 61431736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:26 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**3*y))**(-1\/19)\/(((((y*y**(-3\/5))\/y)\/y)\/y)\/(y**6*y*y)) assuming y is positive.\nAnswer: y**(1022\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13431497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x + 18477 - 36303 + 19463)*(1 + 0 + 0) to s*x + k and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 20 + 12 + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 222 and 2011242.\nAnswer: 2011464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41090 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2. Let v(h) = -h + 2. What is -2*g(u) + 3*v(u)?\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 30 = 0. Suppose -1 - 17 = -m*s. Differentiate -5 - 4 + s - 5*d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10616 and 3981.\nAnswer: 31848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 27. Suppose -4*d + 3*p = -69, p = 2*d + o*p - 52. What is the remainder when 103 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38287975?\nAnswer: 5, 11, 29, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1880145 and 39065235?\nAnswer: 351587115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1326198 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 5 (c) -0.1 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33301*z**2 + 6905*z**2 - 4*z + 4*z + 11571*z**2.\nAnswer: 51777*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 15 - (-6930)\/396?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21850?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = 4*o, 4*i = -3*o + 308. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 2, -2, -0.153 in decreasing order.\nAnswer: 2, 1\/12, -0.153, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76421808 and 1072?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.6 and 0.574?\nAnswer: 3.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -2 - 330\/4)*-6. Suppose -g - 159 = -l, 2*g + b = -3*l + 6*l. List the prime factors of l.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/3472518 and -79\/2436?\nAnswer: 6945036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -27*l + l**2 + 51*l - 31*l + 3. What is i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4508*p. Let h(t) = -1541*t. What is h(r(g))?\nAnswer: 6946828*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5784 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i + 3. Let u(x) = -3*x**2 + 4*x - 8. Let s(g) = 17*o(g) + 6*u(g). Let r be s(7). Let t(z) = -2*z**2 + 5*z - 2. Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6117 + -3665. Let d = c - -1933. Let k = d + -2158. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162556 (base 7) in base 14?\nAnswer: ba2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*r = -r - 15, 9 = 3*x - 3*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9021*h**3 - 11*h + 93?\nAnswer: -54126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((100\/10)\/10)\/((-642)\/26322)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6256 = g + 3*y, -5*g - y + 28625 + 2669 = 0. Is g at least 6258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (86\/72)\/(2\/6) and -10 - -22 - (-32067)\/(-2394).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 3*z**2 + 5*z**3 + 0*z**2 - 3*z**2.\nAnswer: 5*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 756 = 17*x. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 81*u**2 + 4*u + 9. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17790957 is divided by 220?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 20*r + 100. Let y be u(-5). Suppose y = -3*s - 46 + 58. Let a(v) = 4*v**2 + 7*v + 7. Let c(t) = 2*t**2 + 3*t + 3. Give s*a(j) - 9*c(j).\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3237 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 199. Let k be p(33). Sort k, 5, -2\/9.\nAnswer: k, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2140 (b) 2 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzeoy. Give prob of picking 1 o and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 350 + -172. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -56.31. Let x = t - 0.19. Let s = x - -2.6. Which is greater: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:30 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.259 + 20.659. Round x to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, 4, -0.2, 2.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 24*l**2 - 2*l + 38. Determine i(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 25*j. Let t(y) = -187 + j*y + 174 - y. Let q be t(-17). Solve -5*u + q*w + 10 = -2*u, -3*w = -u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25581 by 90.\nAnswer: 8527\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(117)*1*1 + sqrt(117) + sqrt(117)))\/(-3*sqrt(441)*3 - sqrt(441)).\nAnswer: 9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37483 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64989 and 2241.\nAnswer: 64989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640 = -5*z + 4*i, z - 4*i - 62 = 66. Let q = z + -638\/5. Factor -4\/5 - q*n**3 + 6\/5*n + 0*n**2.\nAnswer: -2*(n - 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*i + 3 - 23 = 0, -4*c + 16 = 2*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-82)\/(-574))\/(((-3)\/133)\/3))\/((-1)\/(-1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(5325 - 5325 + 2395*b) + (1 + 1 - 1)*(-2*b + 2 - 2) + 2 + 2*b - 2 + (0*b - 2*b + 0*b)*(-6 + 5 - 1) + b - b + b.\nAnswer: -4785*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*v + 3*d + 7, -3*v = -5*d - 9. Calculate the lowest common multiple of 1928 and v.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*n - 19, 24*m - 155 = -3282*n + 3277*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = 25*i + 4. Suppose 3*a - 11 = 2*x, -4*a + 14 = -4*x - i. Let f(d) = -50*d - 3. Calculate the remainder when f(x) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + t**2 + t + 49*t**3 - 18 - 86*t**3 + 38*t**3 as v + p*t**3 + y*t**2 + a*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -14. Let o = l + 5. What is the third biggest value in o, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11524.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 855.214 to zero dps.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 192, 397, 678?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + 16*m**2 + 42*m - 34. What is the units digit of d(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-20)\/(-8))*(-10 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b + 1092 = 80*b. What is the remainder when b is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3368 - 3233 - 3880 = 1803*o + 3467 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2888 and 361.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**4*p*p))**(-26\/5)\/(p\/p**(-6))**(-10\/3) assuming p is positive.\nAnswer: p**(194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -40*c**3 + 278*c**2 - 25*c + 266. Calculate k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140717*p**2 + 2*p - 152183.\nAnswer: -281434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from {u: 4, r: 1, m: 2, f: 3, t: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2007*f + 2173. List the prime factors of w(6).\nAnswer: 5, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70, -133, -186, -223, -238, -225?\n\"Answer: g**3 - g**2 - 67*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.043 - 0.043. Which is the closest to w? (a) 4 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose 4*t - 128 = 3*r - 7*r, 0 = -5*r + 5. Suppose o + t = 35. Solve -o*k + 2 = -l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a + 1. Suppose -2*v + 6 = 0, v - 3*v + 22 = 4*d. Let z = 0 + d. Suppose -z*g - 5*q = -26 + 2, -5*q + 17 = -3*g. Determine j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 23*s + 2. Suppose 61 + 19 = -2*t. Let r = t + 44. What are the prime factors of b(r)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Suppose v - o*g = 4*v - 52, 5*g = -2*v + 44. Find the second derivative of f**3 + f**3 - 8*f**3 + v*f wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h + w + 3, -h + 2*w + 9 = 0. Let k(q) = -2*q**2 - 1. Let u(y) = y**2 + 1. Calculate h*k(m) + 3*u(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Let a = k - 11. Let y(i) = i + 1. Let g be y(-1). Sort g, a, 2\/3.\nAnswer: a, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738376 is divided by 579456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/5 + 2691*q**4\/5 + 10734*q**3\/5 + 16086*q**2\/5 + 10719*q\/5 + 2679\/5.\nAnswer: 3*(q + 1)**4*(q + 893)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 6*v**2 - 6*v + 6. Let c(z) = 2*z - 3. Let m be c(3). Let o(w) = 328 - 165 - 156 - 2*w - 7*w**2 - 2*w**m - 5*w. Calculate -6*o(p) + 7*u(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from icimcmicccmm?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.53 rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 1282360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*k + 42 - 14, 0 = -3*k + 9. Let d(b) = 3*b + 11. Let o be d(y). Is ((-21)\/12)\/(1\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260)*-2)\/(sqrt(605)*-1))**2.\nAnswer: 1008\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 198. Calculate the remainder when 191 is divided by l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 804\/(-4) - 2\/(-2). Let v = i + 436. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c - 10. Let b be ((-2)\/(-4))\/(c\/(-24)). Let w(z) = 2*z. Let m(t) = -4*t. Let j(r) = -2*m(r) - 5*w(r). What is j(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 8}. What is prob of picking 2 n?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1110 - -1105. Put 130, i, -4, -3 in ascending order.\nAnswer: i, -4, -3, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q + 88. Suppose 10*x - 6*x + 20 = 0. Let o(s) = -s**2 - 8*s - 12. Calculate the remainder when q is divided by o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 105148764?\nAnswer: 1156636404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238808 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2394279 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 54224 = -0*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-154)\/(-2) - (-13)\/((-65)\/10). Suppose 0 = k + 4*i + 12 + 61, 290 = -5*k - 5*i. Let g = o + k. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:39 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 27. Let j = n - -21. Is 332 + (-3)\/3 - j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - (-3 - 0))\/(1\/2). Let c(p) = -7*p + 199. What is the remainder when 43 is divided by c(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9553589 minus -11.5?\nAnswer: -9553577.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, x: 2, p: 2}. What is prob of picking 1 n and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-2 + (-16)\/(-10)). Let w = -10 + b. Let s = w + 31. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*p + 3*p + 204 = 0, 4*b + p - 204 = 0. Which is smaller: b or 52?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + q + 71, -4*q + 6*q - 42 = -2*s. Let d be (-9 - -1)\/((-98)\/1127). Calculate the highest common factor of s and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)*j*j)\/j*j*j*j**5)**(34\/5)\/(((j\/((j*j\/j**(2\/3))\/j))\/j*j*j**5*j)\/(j*j\/(j*j**(-2))*j*j)**10) assuming j is positive.\nAnswer: j**(956\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3*(-10)\/(-18).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 12}. What is prob of sequence hfhh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43330 (base 6) to base 15\nAnswer: 1b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(1100).\nAnswer: -5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2676 and 360348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2565 (base 10) to base 6\nAnswer: -15513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.124 - -2.124. Is 1 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 18. What is the smallest common multiple of 1 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4457, 4586, 4793, 5072, 5417, 5822, 6281, 6788?\nAnswer: 7337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**10)\/n*(n*n**3)\/n*n*((n*n**(-7)\/n)\/n*n)\/n**(-5) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i - 368 = 74 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/8 (b) -22 (c) 11.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 13928033?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 2*sqrt(1152))**2 + (sqrt(98) + 1*sqrt(98))**2*-3.\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52243 is divided by 173.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 11*u**7\/105 - u**5\/60 - u**3\/2 - 42*u**2. Find the third derivative of b(c) wrt c.\nAnswer: 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7357 or -7389?\nAnswer: -7357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -7)*(6\/(-12))\/(-1). Let k(f) = -4*f**3 + 2*f**2 - f - 1. Let d be k(2). What is the common denominator of (-303)\/6*u\/d and -15\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 + 32*m**2.\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-13)\/(-26)*3*(-48)\/(-9) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 13*t**5\/20 + t**4\/12 + t. What is the third derivative of x(l) wrt l?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*p = -13, 0 = -t - 91*p + 89*p + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let g = -18.909 + 19.1. Let k = -0.191 + g. What is the nearest to k in w, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(209)*5 + sqrt(209))*5)\/(sqrt(704)*-3) + -1.\nAnswer: -5*sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -41*k + 24*k - 2*k + 23*k - 4. Calculate v(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412124 divided by -22\nAnswer: -206062\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443277768, -443277767, -443277766, -443277765, -443277764?\nAnswer: -443277763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 11 + -27 + (7 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w - 240. Let t be m(12). Let b(i) be the third derivative of 10*i**2 + 0*i + 1\/120*i**5 + 0 + t*i**3 + 0*i**4. Determine j, given that b(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 17. Let k = q + -14. Solve -k + 2 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**4 - 82*g**3 + 226*g**2 - 222*g + 36.\nAnswer: 2*(g - 3)**2*(g - 2)*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o*(o**(-2)\/o)\/o*o*o)\/(o**(-3\/8)\/((o*o*o*o**(1\/7))\/o)) assuming o is positive.\nAnswer: o**(309\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) 1 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4149306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136532003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 31*k + 7. Let b be i(7). Let l = b - 328. Let a = -71 - l. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-348)\/(-28)*(-9)\/(-27)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48908 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 506852232 to the power of 1\/3, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*h + 37551, -2*b + 25038 = -13*h + 17*h. What are the prime factors of b?\nAnswer: 3, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6605492*t**2 - 277430672*t + 336.\nAnswer: 4*(t - 42)*(1651373*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 453033.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1233.4 to the nearest 10.\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2478852977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, -462 in decreasing order.\nAnswer: 8, 6, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 10*j**2 + 3*j + 7. Let g(u) = 2*u**3 - 21*u**2 + 5*u + 15. Let x(o) = -7*c(o) + 3*g(o). What is x(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.88 (c) 36 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 7*h**6\/30 - 3*h**2 - 15*h + 3. Let f(n) be the first derivative of v(n). Differentiate f(x) wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 200*x**2\/3 - 3439*x\/3.\nAnswer: -x*(x + 19)*(x + 181)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 7*i. Let r(n) = -3*n**2 + 8*n. Let q(t) = 6*o(t) - 5*r(t). Find the second derivative of q(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 1\/2 (c) -2 (d) 0.6449 (e) 873\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 41, -2, 57 in decreasing order.\nAnswer: 57, 41, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -152*s**2 - 9425*s - 63. Let x be i(-62). Let c(v) = 1. Let p(z) be the second derivative of z**3\/3 - 7*z**2 + 2*z. What is x*p(o) - 12*c(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -7. Let n(u) = u**3 + 6*u**2 + 4*u + 2. Calculate n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(17) + 1.\nAnswer: -3*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-21) - (-2)\/7)*-15. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21561*v - 3286*v - 127925 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1900))**2 + -4 + -1 + 3 + 0 + sqrt(1900) + -3 + -1.\nAnswer: 10*sqrt(19) + 17094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -24837551?\nAnswer: 24837551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121935.\nAnswer: 3, 5, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 1. Let f = 7 + -7. Let p = 3 - f. Suppose z = -4, -p*z - 4 = -7*b + 3*b. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) -3\/4 (c) 0.4 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 10) to base 8\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 201.\nAnswer: -1, 20, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-6)\/(-8)*-2). Let y be p*(-1)\/1 + -2. Let f(u) = 2*u - 5*u + y*u. Let w(a) = 2*a**2. Give f(w(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.015 in -0.83, 5, 15?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/6)\/(2\/6). Let t(o) be the second derivative of -7*o**3\/6 + 7*o**2 + 8*o. Let w be t(-2). What is the greatest common factor of j and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/35*(-905)\/(-181). Solve -6\/7*r**4 + 6\/7*r**2 - 8\/7 - 16\/7*r**3 + u*r = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -4 + -3 - (3 + sqrt(28) + sqrt(7) - -1*sqrt(21)\/sqrt(3)))**2*6.\nAnswer: 240*sqrt(7) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 9*u**2 + 11*u - 8. Let q be d(10). Suppose -2*p - 3*o = 59, 7*p + 4*o + 130 = q*p. Let h be (-2 - p\/3) + -1. Do h and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31 - -39) + 0 + -1. Let i = 2 - -16. Let j be 3\/6*4 + i. Solve j = 4*r + 2*u + 2*u, 0 = 4*r - 5*u + k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (47\/(-3))\/((-11)\/33) + 1. Let z = f - 45. Are z and -11\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**3 - 92*p**2 - 320*p + 256.\nAnswer: -2*(p + 8)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -18. Suppose 36 = y*d + 5*k - 22, 5*d - 116 = 2*k. What is the tens digit of (d\/4)\/((-9)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.3. Let l be (-5)\/33 + 10\/(-55). Sort l, 0.3, f in increasing order.\nAnswer: l, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 8*z**2 + 1 + 4 - 8*z**2 - z + 3*z**2 to the form k + s*z**2 + v*z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013576585?\nAnswer: 3, 5, 19, 47, 150323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = -4*k, 3*v + 2 = 3*k - 1. Solve -7 = 2*i - a, -4*a + k = 2*i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 9 = 3*n, -n - 4*b + 2*b = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 24*o + 219 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -138*(-13)\/((-182)\/(-21)). Let x be -135 + (-2 - 0) + 2. Let c = x + k. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484431927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*r = 125*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1200839948 to the nearest integer?\nAnswer: 34653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 21*a**2 + 4 - 4 + 0*a.\nAnswer: 21*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4505, 4600, 4861, 5372, 6217, 7480, 9245, 11596?\n\"Answer: 14*l**3 - l**2 + 4492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*l**2 - 11930462*l - 34478020 wrt l?\nAnswer: 12*l - 11930462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 3.00239, -1.2, 2 in ascending order.\nAnswer: -1.2, -6\/11, 2, 3.00239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in 1\/4, -1\/5, -4\/5, 71?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/7)\/(-1*(3 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3\/3 + 11*f**2\/2 + 24*f + 1. Let u be b(13). Sort 25, 5, u in decreasing order.\nAnswer: 25, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -24533?\nAnswer: -24533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3810681 divided by 1270227.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {i: 2, a: 5, z: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/120 - 4*v**5\/15 - 19*v**4\/24 - 7*v**3\/6 - 5*v**2. Calculate the remainder when d(-15) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8847 + 9624. Calculate the remainder when j is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**2 + 67568*m - 5761784.\nAnswer: -8*m + 67568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 2. Let z be 0\/i - (4 - 6). Solve z*g - 3*g = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2094 + 3005. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 27*p**2 - 8*p + 67. Let j(v) = -6*v + 17. Let b be j(5). Let n be o(b). Solve n*y + 3*w = 6, -2*y - 5*w = -1 - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:26 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*r + 21738, 3*r - 2*r + 5*n = 7246. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxsxss. Give prob of sequence ssx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 2. Let m be z(-4). Let y(w) = w**2 - 3 + 3*w - w**2 + 3*w**2. Is y(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 814*x**2 - 1062*x. Let q(t) = -3*t**2. What is p(q(f))?\nAnswer: 7326*f**4 + 3186*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 = -0*r + 4*r, 2*r + 2*n - 6 = 0. Let v be 2*2*7\/14. Let d = v - -3. Solve r = d*k - 3 - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z + 1)*(-z - z + z) + 2*z**2 + z - z + 4*z - 4*z - 7*z**2 + (-z**2 + z**2 - 2*z**2)*(0 + 2 - 3).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/4 + 8*a**3\/3 - 9*a**2\/2 - 6*a + 25. What is d(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0, -4317, 6\/13 in ascending order.\nAnswer: -4317, 0, 2\/13, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30799*i**5*k + 2*i**3*k - 56*i**2*k - 3648*i*k wrt i?\nAnswer: -1847940*i**2*k + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-21) + (-6)\/(-21))*0. Suppose 4*x - 6658 + 1134 = n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-37)*(d*d**(3\/5))\/(d\/(d**(-1)*d)) assuming d is positive.\nAnswer: d**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 249 + 136. What is the greatest common factor of i and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -48*n**2 - 69*n + 6. Let i(j) = 7*j**2 + 10*j - 1. Let c(q) = -4*h(q) - 27*i(q). Factor c(y).\nAnswer: 3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjlsmssmssss. Give prob of sequence sj.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 21*n - 55. Solve -1 = -n*o + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-168)\/35)\/(6\/(-40)). Let i(r) = 5*r - 109. Let j be i(18). Let f = d - j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6227, -1, -0.3 in descending order.\nAnswer: 6227, 1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.39*0.5\nAnswer: -1.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l**(-8)\/l)\/l*l))\/l)\/(l**8*l)*(l*l\/((l\/l**(1\/6))\/l))\/(((l\/((l**(2\/5)*l)\/l))\/l)\/l))**(-44) assuming l is positive.\nAnswer: l**(-1694\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 4257.923?\nAnswer: 4257.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*q**3*v**2 + 6*q**3*v - 2272*q**3 - 640012*q**2*v**5 + 154*v wrt v.\nAnswer: -16*q**3 - 12800240*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 7480 = 50*n. Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 34 + 14 = 0. Let v be (2 - (-4314)\/(-45)) + 1. Let k = -93 - v. Which is the third smallest value? (a) 0.3 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*f - 2 = 483*f. Which is the nearest to 1? (a) 0.1 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 + v + 1. Let x(t) = 17*t**2 - 2*t - 2. Give 7*a(b) + 4*x(b).\nAnswer: 12*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (sqrt(500) - 3*(sqrt(500) + 1) - sqrt(500))) + -6*(3 + sqrt(5) + 4))**2.\nAnswer: -2652*sqrt(5) + 7301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**3 + 102*w**3 - 33*w**3 - 35*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s - 1. Suppose -h - 4 = -5. Let b be l(h). Solve 3*y**2 + 6*y - b*y**4 + 0*y**4 - 6*y**3 + 0*y = 0 for y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-56)\/((-280)\/(-10)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**3 + 1)*(5675*b**2 - 12032*b**2 - 5 + 5714*b**2).\nAnswer: -1286*b**5 - 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 9 in ascending order.\nAnswer: 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33438, 33450, 33474, 33516, 33582, 33678?\nAnswer: 33810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 3*x + 6 + 2 + 7*x. Let w be o(-4). Suppose 0 = 5*s + 2*c - w - 7, 0 = 3*c - 9. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -141? (a) 1\/3 (b) 60 (c) 2\/13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.384138329 and 118?\nAnswer: 118.384138329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -587*f**2 + 847 wrt f?\nAnswer: -1174*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + 0.6. Let c = 65.5 + -66. What is the biggest value in -3, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 25. Let o = 13 + d. Let x = o + 0. Solve x = -v + 4*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*j**3 - 4*j - 40.\nAnswer: 132*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 469952*g - 5 + 0.\nAnswer: 469952*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = 2*d, 3*q = -5*d + 13 + 4. Solve -q*w = -1 + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - 6*x)*(-6364 + 86 + 531 - 1698 - 3725 - 5342).\nAnswer: 99072*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 570134173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*q + 1644, -45 = -q - n - 456. Let a = 280 - q. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 11*o**2 - 19*o + 6. Let g be q(9). What is the nearest to 1 in 1\/3, g, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ca7cb (base 13) to base 14.\nAnswer: -2a7495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s + 380 - 635 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 1. Let l(c) = -15*c + 10. Let a(r) = 3*r - 2. Let m(o) = 11*a(o) + 2*l(o). Let k(h) = -m(h) - 2*q(h). Let t(j) = 139*j**2. Determine t(k(p)).\nAnswer: 139*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 13. Let w be h(-14). Let z = w + 1. Factor 3 - 3 - 4 + z*n**2 + 2*n.\nAnswer: 2*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*j**2 - 54*j**2 - 55*j**2 - 59*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d - 6. Determine q(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/20 + (-5)\/20. Are -2\/107 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 12*f**2 + 11*f - 66. Let o be a(-10). Suppose o*q = 30*q - 4086. List the prime factors of q.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -24850.\nAnswer: 69\/24850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5638\/5 + -35961\/35. Let a = 5167\/56 - i. Calculate the common denominator of 2*1 + 79\/(-20) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8593548 is divided by 1718706?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 6*s + 1. Let j(u) = -u + 17. Let z be j(8). Suppose z*n + 135 = 4*n. Let r = -33 - n. Calculate a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -7. Let x = 184 + -285. Let b = x + 98. Sort b, a, -3\/2 in descending order.\nAnswer: -3\/2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.573 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 42*g**2 + 45*g - 52. Let w be l(43). Let u = -5 + w. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 5*l - 17. Suppose 0 = 36*m - 118 - 422. What is the highest common divisor of m and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((1 - -1) + (-19 - (24 + -48))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*(-180)\/108.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -108, -242, -424, -648?\n\"Answer: m**3 - 33*m**2 + 12*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -662061\/2 (b) -0.1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:57 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/43)*s**15*(s**(-5\/2)\/s)\/s*s**(-3\/2) assuming s is positive.\nAnswer: s**(428\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 - 44064432?\nAnswer: -44064305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 483 - 481. Let b(s) be the first derivative of 0*s - 4 + 1\/2*s**w. Let j(c) = -7*c**2. Determine b(j(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/632405 and 41\/7130.\nAnswer: 901809530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*j**6 - 3016*j**2 wrt j.\nAnswer: 23760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = c - 28, 9*l - 10*l = 4*c - 27. Which is smaller: c or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42189421, -84378845, -126568269?\n\"Answer: -42189424*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9383?\nAnswer: 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 1\/2, 39, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:45 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 + 2*g - 1. Let w be s(1). Let m be 2 + w\/(20\/(-8)). Let z = -2 + 3. Put z, m, -1 in decreasing order.\nAnswer: m, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1430 or -1340?\nAnswer: -1430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 17*t**6\/120 + t**5\/60 - t**4\/24 + 53*t**2 + 5*t. Calculate h(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(448) + 3*(-4 + sqrt(448)) + 3 + sqrt(448) + 2))**2.\nAnswer: -5040*sqrt(7) + 101241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-1 - (-60)\/(-28)))\/((-14)\/(-28))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (34 + -28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 8. Let d be o + 8\/(-2) - 2. Sort d, -5, 0 in decreasing order.\nAnswer: d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15 + 636\/10. Let w be ((-2)\/(-2))\/(4\/h). Suppose 2*l = -o - 5 + w, 3*o - 2*l = 65. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -626503 + 626508. Find a such that 2\/5*a**v + 432\/5*a + 166\/5*a**3 + 82*a**2 + 6*a**4 + 32 = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(114)*2*3 - sqrt(114)))\/(-2*((sqrt(42) - (sqrt(42) - sqrt(168)))\/sqrt(7) + sqrt(6) + sqrt(96)*-3)).\nAnswer: 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -2. Let m(x) = -1267*x - 1262*x + 17 + 2513*x. What is the hundreds digit of m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71665, 286654, 644963, 1146586, 1791517?\nAnswer: 2579750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/2)\/(1\/2). Let b = -3 + p. What is the smallest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgg when four letters picked without replacement from xxxxxxgxxxxxxxxxxxg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 615015757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029, -2922, -5881, -9912, -15021, -21214, -28497?\nAnswer: -36876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214988947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:57 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w + 3. Let v(h) = -h + 3. Let m(l) = -3*l + 8. Let p(s) = 4*m(s) - 11*v(s). Determine -n(b) - 5*p(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 3*g + 17. What is p(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 539, 1218, 2169, 3392, 4887, 6654?\nAnswer: 8693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -0.5, -19.9, 0.02, -0.4 in increasing order.\nAnswer: -19.9, -4, -0.5, -0.4, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 + 64*p**2 - 52*p - 16. Calculate k(-14).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*o**4 + o**3 + 3*o**2 + 78*o - 150640290.\nAnswer: -352*o**3 + 3*o**2 + 6*o + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 194410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -0.4 (c) -0.15 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3660*c**4 + 21*c**3 + 41*c**2 + 41471952*c?\nAnswer: -43920*c**2 + 126*c + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6988081?\nAnswer: 41, 170441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18165764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 11, z: 2}. Give prob of sequence ew.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 355*j + 104*j + 2*j**2 - 8.\nAnswer: 2*j**2 - 251*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 3616.\nAnswer: 7232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53285665 less than -463?\nAnswer: -462.46714335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5772 - -8266. Is -3*(g\/(-24) - (-30)\/(-40)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 10)\/((6\/(-12))\/1). Suppose 50 = l*b - 16*b. Let c(z) = -31*z**2 - b*z**2 + 42*z**2. Let u(x) = -x. Determine u(c(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -755\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -0.017?\nAnswer: 13.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 794.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2*k - 4. Suppose -4*v - 8 = 16. Let z be 22\/v + 2\/(-6). What are the prime factors of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 1.05. Let j = -6 - -4. Let i be ((-1)\/(-2) - 0)*-10. Which is the closest to d? (a) i (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-1600))\/(2 + 1\/(-2))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -123390995 divided by 5\nAnswer: -24678199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24659 = -5*v + 3*f, 0*v + 5*f - 24635 = -5*v. Suppose 0 = -k - 8770 - v. Round k to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 102*r - 388. Let q be y(4). Let s = -35 - -34.9. Which is the closest to s? (a) q (b) 1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 3. Let x be t(-2). Suppose -5*o = -3*a - 9, -3*o + x*o + 3*a = 12. Let v(i) = 5*i**o + 4 - 4*i**3 - 2*i**3 + 0 + 7*i**2 - i. Give v(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037260197 to seven decimal places.\nAnswer: -0.0000373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 4*p**3\/33 - 89*p**2\/11 - 90*p\/11 + 29. Factor d(b).\nAnswer: 2*(b - 45)*(2*b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1395*s**2 - 1025 wrt s?\nAnswer: -2790*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68219872 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-5)*300\/120 + 0\/(-1). Solve -4*w + m = 12, -9 = 3*w - 0*m - x*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220118 is divided by 235.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*t - t - 3 = 0, 5*n = 4*t + 5. Let x = 9 - n. Solve 5*s + 2 + 3 = 0, -2*b + x = -2*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19799995 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -79*g + 5296. Let z be u(67). Solve -6 = x - l - 8, -18 = -z*x - 3*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-3*sqrt(832) + -4)**2) - (4*sqrt(832)*2 + -5 + -1).\nAnswer: -14998 - 448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.5. Let c = -3 - -2. Put c, 2\/7, m in descending order.\nAnswer: m, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 6*u + 37. Let v(o) = o**2 - o - 1. Let d(b) = -c(b) - 4*v(b). Is d(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = n, 5*n + 5 - 11 = 3*d. Solve -5*s - 2*r = -5, n = 5*s - 3*r - 27 - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 11*g**2 + 10*g + 2. Let j be d(10). Is j*3*(-40)\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 - 193*c**2 - 693*c - 445*c**2 + 691*c in the form h*c**4 + l + o*c + i*c**3 + w*c**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/5 - 18*z**3\/5 - 52*z**2\/5 - 48*z\/5 = 0.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-342))\/(2\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 - 7*c**3\/3 - 11*c**2\/2 - 5*c - 8683. Give f(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(108) - (sqrt(108) - -4*(sqrt(108) + -3*sqrt(108)))))\/(sqrt(6)*1*-5 + -2*sqrt(486)).\nAnswer: -24*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 14*m**2 - 14*m + 4. Let u be l(13). Let q be (-2)\/u + 50\/18. Suppose -q*n + 36 = -n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-665)\/29 + 2 + 1258 + -1237?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743210 to the power of 1\/2, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 - 83. Suppose g = 6*h - 27. Suppose 0 = 4*w + 3*d - h, -2*d + 23 = 4*w + 7. Solve 5*l + 4*a - 18 = 2*a, 3*l + w*a - 7 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 19155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d + 1733. Let n be k(0). Find the first derivative of 76 - 868*g**4 + n*g**4 - 104*g - 864*g**4 wrt g.\nAnswer: 4*g**3 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-9))\/(14\/(-21)). Solve -b = -w*h + 8*h + 17, 3*h = 5*b + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597852, 597824, 597784, 597738, 597692, 597652?\nAnswer: 597624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**(-7)\/y*y*y)*y)\/y)\/(y\/y**(-5)*y))\/(y**(-8\/3)*y**(1\/2)))**(-19) assuming y is positive.\nAnswer: y**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 59*u. Let x(l) = 427827*l. Determine x(f(o)).\nAnswer: 25241793*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 6*a - 5. Let s be r(-5). What is the common denominator of -1 + s\/4 + 1 and ((-19)\/(-8) - 3)*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*j = 87*j - 108. Let y be (((-2260)\/j)\/5)\/(165\/90). Is y <= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 727 and 6.\nAnswer: 4362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-110)\/12) - (-8)\/((-2816)\/236)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.71 + -0.29. Let n = v + 60. Let p = 24.0052 - n. What is p rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p + p**2 - 4*p**2)*(-p**3 + 4*p**3 - 2*p**3).\nAnswer: -3*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4120 (base 5) to base 7\nAnswer: -1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111110100101 (base 2) in base 8?\nAnswer: 57645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.7 - -28. What is the second smallest value in -15, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/431 (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 51, 1, 0, 57 in decreasing order.\nAnswer: 57, 51, 3, 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2949506925.\nAnswer: 3, 5, 2939, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/((-1)\/3). Let z be i\/((4\/2)\/194). Let j = z - -39. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n**2 - 16*n - 45. Let y be g(-15). Let q = -46830 - y. Round q to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 2*u = -4*z + 2*z + 1980. Calculate the least common multiple of u and 10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -12. Let p be y\/(1 + 87\/(-78)). Calculate the greatest common factor of 39 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/6 - 4\/(-24). Calculate the highest common factor of o and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.2. Let o = -0.3 - m. Let a = -0.6 - o. What is the third smallest value in 1\/2, a, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 11*j**2 + 1. Suppose 2*a - 27 = -5. Let f be d(a). Put 0, f, -2\/5 in descending order.\nAnswer: f, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o - 70*o - 3081 = 98*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*h + 8 = 6, -23 = -2*o + 5*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 588*k + 38986.\nAnswer: 2*(k + 101)*(k + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*z = 40, -21 - 4 = -5*z. Solve 2*p + 1 = 3*p + 4*u, h = 4*p - 5*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -6\/5*b**5 + 4\/3*b**3 + 0*b**4 - 3 + 0*b + 0*b**2. Find the third derivative of v(a) wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6881261869?\nAnswer: 47, 146409827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 33 = -174. Suppose -3*m + 41 + a = 4*l, -4*l + 306 = 5*m. What is the common denominator of (m\/3)\/(11 + -5) and -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -70*l - 13. Suppose -3*x = -2*i - 2, 3*i + x - 27 = -2*x. Suppose -i*z = -5*j + 15, -24 = 4*z + j + j. Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 3 - 2 - 1. Let d(g) = -24*g. What is b(d(h))?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -239, 1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266854 rounded to the nearest one thousand?\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29777\/24 + 2489\/2. Calculate the common denominator of t and (-2)\/(-3) - (-9723)\/(-108)*168\/10192.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(0 - (-8)\/3). Solve 4 = 4*b - w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*t = -13, 2*t - 1 = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101001101001110011010 - 100?\nAnswer: 110101001101001110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305442 = -21*o + 307653. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 - 6 = 0. Let j = 51 - 23. Suppose -n*b + j - 4 = 0. What is the least common multiple of 14 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8381, -16504, -24627?\n\"Answer: -8123*j - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 22. Suppose 0 = -t + 2*a - 15, -2*t = -0*a + 2*a + 6. Let y = t + q. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 167 = 127. Which is the second biggest value? (a) -5\/2 (b) p (c) 30 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-22) - 4379\/319) + 95\/6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/27)*y**(2\/71)*y*y)**(-23) assuming y is positive.\nAnswer: y**(-174340\/1917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -4\/7 (c) 21 (d) 0 (e) -0.3 (f) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 5, h: 6, l: 4}. Give prob of sequence ph.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 5*d**2 + 18*d**2 - 42*d**2 + (-7*d**2 - d + d)*(-1 + 1 - 4*d) as b*d**2 + r*d**3 + f + s*d and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2961*j**2*o**4 + 462*j**2*o + 2*o**4 - 12*o**3 + 934*o**2 wrt o.\nAnswer: -71064*j**2*o + 48*o - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/11)\/1*(-36)\/54?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7451850, 14903692, 22355526, 29807352, 37259170, 44710980, 52162782?\n\"Answer: -4*y**2 + 7451854*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.048 (c) -5 (d) -2\/15 (e) 152 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-2214))\/((-6)\/(-27))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*r - 44*r + 18 - 18 + 431*r as x + c*r and give c.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p - 5*b = -15, p - 3*b = -9. Let i = 175.5 + -175. What is the third smallest value in 2, p, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130510 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 618 - 617.6. Sort -2, -4, 1.8, a in increasing order.\nAnswer: -4, -2, a, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8639 + -8632. Which is the fourth biggest value? (a) 0.4 (b) v (c) 2 (d) -2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1166310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n + 4*k - 548, -3*n - 2*k = -412. Suppose 5*o - 4*t - n = 0, o + 5 = -2*t + 27. Calculate the greatest common divisor of o and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1332*f**2 - 3599*f. Determine s(-3).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*-2*5 + (sqrt(150) - -5*((sqrt(150) - 2*sqrt(150)) + sqrt(150))))\/(-1*sqrt(432)*6).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.05 (b) -3\/644 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31010202233 (base 4) in base 9?\nAnswer: -6402218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -36. Suppose 1 = -t - 3*n, 3*t - 5*n - 11 = -28. Let s be k\/(t - (-24)\/4). Solve -s*l + 5*i - 45 + 0 = 0, 4*i = l + 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1434 + -104. What is d rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l - 1 = 0, -5*m = 3*l + 2. Let a(z) = -9*z + 1. Let r be a(m). Suppose 2 + r = 2*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33781 and -3576?\nAnswer: 37357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20280539 is divided by 10140269.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4 >= 104.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:04 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 471 - 500. Let b be (-266)\/80 + (d + 16)\/(-104). Suppose 18 = 2*i - 4*v, 3*v + v + 24 = -4*i. Is b greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, o: 2, n: 1, d: 1, w: 3}. What is prob of sequence dow?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3768263359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4497 - 0.0497. What is the third smallest value in 5, d, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1636 divided by -35?\nAnswer: 1636\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*r**2 - 557*r**2 + 10 - 547*r**2 - 549*r**2 + 2221*r**2.\nAnswer: 9*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d + 197. Calculate the remainder when q(-12) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(2\/9))\/z)\/z**(1\/5))**41 assuming z is positive.\nAnswer: z**(1886\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -55172?\nAnswer: 55175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4994051.279 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -122, -322, -564, -848, -1174, -1542?\n\"Answer: -21*i**2 - 137*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 + 3*d + 1. Let i be a(-4). Suppose -i = -c - 2. Suppose 0 = -c*k + 7*k - 4. Solve -5 = t - k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2*(-6)\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/98*14\/(-3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by 3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.18 * 7.\nAnswer: -141.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a + 88*a - 48*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(240)\/(3*sqrt(10)))\/(sqrt(32)\/(sqrt(36)\/sqrt(9))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 4. Let m be d(8). Let r(n) be the first derivative of 0*n + 3 - n**2 - 1\/2*n**m + 0*n**3. What is the second derivative of r(b) wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**4 - 3400*v**3 - 4*v + 3271?\nAnswer: -8*v**3 - 10200*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - u + 2. Let f be n(0). Suppose 0 = -r - 3*l - f + 12, 16 = -2*r + 3*l. Let w = r + 4. Solve -w*z - 8 = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:16 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(612) + -5 + -3)**2 + 4.\nAnswer: 324*sqrt(17) + 5593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 - 21*i**2 + 179*i - 30. Let k(n) = -11*n**3 - 43*n**2 + 361*n - 61. Let b(q) = 4*k(q) - 9*v(q). Let j be b(-24). Solve 4 = -j*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-3)\/(-4)*(-8)\/14). What is the greatest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = -x, -5*c = -4*x + 107 - 39. Solve 5*s + 0*v - 2*v = 18, 5*s - x = 3*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*b*b*b\/((b\/(b\/((b\/(b*b**(2\/13)))\/b)))\/b))**(-44) assuming b is positive.\nAnswer: b**(-21208\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -31 + -7 + 28\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*u = -242 + 3587 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -38 in descending order.\nAnswer: 0, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 130308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23953 - -24072. Which is smaller: -7\/8 or m?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8258875 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1951570500 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -19 - 22 - -9) + 22 + (95 - 1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 530, 2\/11, -6048?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.2 - 50. Let l = -8.1 + 7. Let b = y + l. What is the nearest to b in 0.5, 0.4, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8510 and 1150.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.2 (c) -67 (d) -3 (e) -518 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 185 and 217986.043?\nAnswer: 217801.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x + 3. Let z be r(9). Let j = z - -213. What is the highest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (332\/80 + -1 - 3)\/(105\/560).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106\/15 + -20\/3. Let g = 0.0026 + 15.9974. What is the closest to 2 in f, 0.3, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225133 (base 6) to base 12\nAnswer: -b1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -824 + 812. Let h(s) = 3*s + 6. Determine h(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -773\/2 - -16117\/42. What is the common denominator of (-83)\/36 - (-1)\/2 and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-8)*j)\/j*j\/(j\/j**(-1)))**(3\/23))**(-39) assuming j is positive.\nAnswer: j**(1053\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109078.1 - 109003.2271. Let y = s + -0.0729. What is y rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16765?\nAnswer: 5, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 2*n - 43, 5*v - 15 = 5*n. What is the remainder when 3 is divided by 6*(-3 - v\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-294)\/9*-1*84\/4. Suppose z - i = -3*r, -5*r + r = -5*z - 921. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37903267, -37903241, -37903215, -37903189?\n\"Answer: 26*c - 37903293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, l: 3}. Give prob of sequence hh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 + 20*x - 16. Let w(l) = 5*l**2 - 15*l + 15. Let i(p) = -3*k(p) - 4*w(p). Let s(f) = -50*f - f**2 + 50*f. What is i(s(y))?\nAnswer: -2*y**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -291425 and -63.3.\nAnswer: 18447202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1165897, 1165824, 1165753, 1165684?\n\"Answer: x**2 - 76*x + 1165972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -5, -5249, 22 in descending order.\nAnswer: 22, -3, -4, -5, -5249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -13\/4, 4, -0.11, -4\/5, -0.2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjrzlxlzxzluzujjzz. Give prob of picking 1 u and 1 l.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1004 and -0.2.\nAnswer: 200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**3 + 120*a**2 - 382*a + 11. Let c(k) = -k**3 - 24*k**2 + 76*k - 2. Let x(i) = -2*b(i) - 11*c(i). What is the second derivative of x(y) wrt y?\nAnswer: 6*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 847*k**3 - 2 - 838*k**3 - 22*k + 4 + 0*k**2 - k**2 in the form b*k + n*k**2 + s + l*k**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 267 - 304. What is the nearest to 1\/2 in 0, p, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-15)*((-260)\/(-8))\/(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 134*b**2 + 161*b**2 + 16 - 41*b**2 to m*b + c*b**2 + t and give c.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277574*t**2*u**4 + 61111*t**2 - 3 with respect to u.\nAnswer: 1110296*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/81 + 121\/810. What is the biggest value in -0.3, -4, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497789926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-523*c + 533*c + 419*c)*(-3 + 2 + 3)*(2 + 0 - 1).\nAnswer: 858*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n**2 + 6*n**2)*(-1773*n**2 + 177*n**2 - 838*n**2).\nAnswer: -17038*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/48*-2)\/(11\/(-66)))\/((-47)\/(-94)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 129, 36, -103, -288?\n\"Answer: -23*o**2 - 24*o + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 204.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/(728\/(-42)))\/((15 - -3)\/(-3)). Which is the third biggest value? (a) -5 (b) k (c) -2\/47 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(-2) + (-52)\/(-3). Let u = -2 + z. Let s(o) = o**2 - o - 14. What is the remainder when s(-6) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-118)\/3 - -1) + -4. Let n = o - -42. Let q be -1 + -2 - (-26)\/12. Which is bigger: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 - -457. Let b(d) = d**2 - d. Let u be b(-2). Let x be 2\/u - y\/(-6). What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185225 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-894)\/75 - 264\/(-22).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(1216)*2)**2 + 0 + sqrt(1216) + (4 + sqrt(1216))**2)*-2.\nAnswer: -12196 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -377\/2643?\nAnswer: -377\/2643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 21*x**2 + 24*x + 187. What are the prime factors of c(-8)?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(-15) + (-4)\/(-6). Let m = 2 + p. Sort 5, -2, m in decreasing order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 4939213 - 40*j - 4939213.\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.75718l?\nAnswer: 8757.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/8 + -13)\/((-3)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101180 - -174397. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 0.397, 83, -0.2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38\/425 - -25331\/16150. Calculate the common denominator of 3 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/6 - 5*a**3\/6 - 3*a**2. Differentiate n(v) with respect to v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1152)\/(-7488) + ((-640)\/1066)\/((-8)\/(-1) - 6)?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + 244)\/(-49)*(-16)\/44.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1603 and 14427?\nAnswer: 14427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 33. Suppose -f = -j - j. What is the highest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -241, -1, -2725 in descending order.\nAnswer: -1, -241, -2725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.27 and 38?\nAnswer: 37.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4620220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 11. Does x = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + 4*o - 120. Let y be m(9). Let q = 5.3 + -6. Put y, 0.1, -0.2, q in decreasing order.\nAnswer: 0.1, -0.2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.16 (c) -6 (d) -23\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 10. Let s be z(0). Suppose -4*o + 2*v + 10 = 0, -s = -4*o + 3*v + 5. Solve -4*t + 5 + 3 = o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*q**3 - 1168*h*q**2 + 559*h - q**3 - 1284*q**2 + 2*q - 39 wrt h.\nAnswer: -2*q**3 - 1168*q**2 + 559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from mllmlllllmllllllml.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.378071422 to 4 decimal places.\nAnswer: 1.3781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*o*q**3 - d*o*q**2 - 3*d*q**4 - 78*d*q**2 + o*q**4 + 3*q**3 - q**2 wrt q.\nAnswer: -6*d*o - 72*d*q + 24*o*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87013237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1599 = 2*f + 3*v, 2*f + 7*v - 1604 = 9*v. Suppose -114*s + 112*s = -178. What is the highest common factor of s and f?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 11*n - 5. Determine o(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -403, -3\/7, 1\/8?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*y, 5*y = -3*z + y + 14. Let g = z + 4. Let b(q) = 3*q**2 - 250*q - 150. Let r be b(84). Calculate the greatest common factor of r and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/9 - 2046271*q\/3 + 12277630\/9 = 0. Calculate q.\nAnswer: -6138815, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:58 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1021132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (10 - (10 + -8 + -6 + 13)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:02 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 889824739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + m = 4*j - 4, 5*j - 4*m - 16 = 0. Let w = 9 - j. Suppose w*c = 14*c - 120. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 21*a**2 + 23*a - 18. Let z be u(22). Suppose 2*v - z*v = -0*v. Suppose n - 2*j - 14 = v, 2*j = n - 5*n + 106. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -36, -10164, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28132?\nAnswer: 2, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*y**4 + 12*y**4 + 17*y**4 + (6 - 6 - y**3)*(y - y + 3*y + (y - 4*y + 2*y)*(-2 - 2 + 3) - 4*y + 4*y - 2*y).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723312 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -334463, -334465, -334463, -334457, -334447?\n\"Answer: 2*f**2 - 8*f - 334457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1880 = 8*y + 1688. Calculate the remainder when 380 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b - 2. Suppose 0 = -2*u + 5*i + 37 + 3, 2*u = -4*i + b. Calculate the greatest common divisor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(2\/45)))**31\/((u*u**(-2\/7))\/u*u*u*u**(-1\/9)))**(3\/2) assuming u is positive.\nAnswer: u**(-4918\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*((2*sqrt(95) - sqrt(95)) + sqrt(95))*-2)\/(1*sqrt(605)*1*-2).\nAnswer: 36*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861356 (base 15) to base 14.\nAnswer: bc21a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/4)\/(-5) - (-810)\/180. Solve -4*y + 3*y = -d*g + 15, 3*y = g - 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*l**2 + (-3 + 3 + 1)*(2*l - 2*l + l**2) + 1 + 8*l**2 - 21*l**2 + 14*l**2 + 18*l to the form m*l**2 + k*l + t and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 42 = 4*t, 3*q = -0*q + 3*t + 81. Let k = q + -21. Suppose 2*x = -x + 2*w + 228, x - 76 = -k*w. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -136 and 1?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - h**2 + h + 1. Let d be o(-1). Let a be (-356)\/d + 4\/6. Suppose 320 = -6*n + 14*n. Calculate the highest common divisor of n and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -5*q**4 + 20*q + 19. Find the first derivative of o(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/27))\/(z**12\/z))\/(z\/(z\/(z\/(z*z**(1\/11)*z)))*z**(-19)\/z))**(-9) assuming z is positive.\nAnswer: z**(-3283\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = 5*w + 68, -4*w + 3*x - 60 = 0. Let y(v) = -5*v + 4. Let m be y(w). Is m + -3 + -2 + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -k - 67 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*3*(-86)\/301)\/((-6)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d - 1. Suppose -2 + 56 = 6*t. Let b(g) = g**2 + 37*g - 4. Determine t*j(s) - 2*b(s).\nAnswer: -2*s**2 + 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/720 + 223*t**5\/30 - 49729*t**4\/3 + 177433072*t**3\/9 + 10*t**2 + 5. Factor n(s).\nAnswer: -(s - 892)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9609.\nAnswer: 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 42*y + 348. Let f = 5 - -13. Calculate the least common multiple of w(-8) and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 44. Let r be c(-22). Suppose r = -2*s + 9 - 19. Sort s, 0, 1 in increasing order.\nAnswer: s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593 is divided by 386.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-126 + -2))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16446.13028 rounded to the nearest ten?\nAnswer: 16450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-207)\/(-690)*(-6)\/(-27).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -2*m + 8, 4 = 5*q - 4*m. Suppose q = -56*g + 301 + 259. Calculate the lowest common multiple of g and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/22 (b) 2\/3 (c) -33\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.207 - -0.267. What is the third smallest value in 3, -1\/4, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62325\/65 + (-10)\/(-26)*12\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose b + i - 6 = 0, -2*x = -4*b. Let t = 2 + x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**2\/5 - 30164*x\/5 - 628152\/5 = 0 for x.\nAnswer: -7478\/3, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 18 - 14 = 0. Suppose 18 + 5 = x. What is the remainder when x is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5349.66t in nanograms?\nAnswer: 5349660000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670678 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(4\/11)*f*f**(-2))\/(f\/f**1*f*f**(1\/3)))**43 assuming f is positive.\nAnswer: f**(-1376\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -869 - -873. Solve -l*u + 195 = 179 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:19 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -840*l**2 - 820*l**2 - 271109*l + 271109*l + 1637*l**2.\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 34 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 11*y - 2*h + 8, -5*y + 3*h - 12 = 0. Solve y = -0*x - 7*x - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 6*j**2 - 2*j + 36. Let y be w(-11). Suppose 0 = 5*k + 25, -3*t - k - y = -14299. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2. Let y(x) = -8*x**2 + 174. Let w(r) = -5*r**2 + 116. Let h(b) = 7*w(b) - 5*y(b). Let j(f) be the first derivative of h(f). Give j(a(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -199*k**2 + 2. Determine b(-1).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1048*k - 2114. Calculate q(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86515176 divided by -57831?\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let k(i) = 3*i - 1. Let c(h) = -27924*h + 8592. Let m(v) = -5*c(v) - 42960*k(v). Calculate p(m(u)).\nAnswer: 10740*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37042 + -3?\nAnswer: 37037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -692456 not equal to -692457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 - -263. Solve -y*u = -5*u - 87 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (18 + (10 - -3) - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let z be (((-2)\/3)\/2)\/(-1). Let m be (-76)\/(-14) - 2 - 3. What is the nearest to z in m, l, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.27818628 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7886128 millilitres in litres?\nAnswer: 0.0007886128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 2 + 15*l**3 - 19*l**3 + 5*l**3 as y*l**2 + g*l + h + d*l**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 + 52*h**2 + 108*h + 17. What is m(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 + 5\/((-175)\/145)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 76218611?\nAnswer: 76218616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5\/20 - i**4\/12 - i**3\/6 + 4*i**2 - 187*i. Determine f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11355688 divided by 138484?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 136 - -0.008\nAnswer: 136.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/91, 0.01, -685, -1\/3?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790*u**2 + 785*u - 785*u - 2148*u**2.\nAnswer: -3938*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 74979*j - 1049861. Calculate d(14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 48 = -f + 3*a, -2*f + 96 = -4*a. Solve -r = -17*r - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.671189ug to milligrams.\nAnswer: 0.004671189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l**4 - 56\/5*l**5 - 1\/2*l**2 + 0*l**3 - 27*l - 53. Find the second derivative of h(k) wrt k.\nAnswer: -672*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252306684 a multiple of 4116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11830 + -11827. What is the smallest common multiple of (-1)\/(2*(-1)\/620) and c?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 171*t + 128. What is the remainder when 105 is divided by s(24)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4052415.\nAnswer: 3, 5, 19, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 + 6*g - 5. Let f be i(5). What is the second derivative of f*x + 2*x + 2*x**2 - 5*x**2 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -3, -55, -159, -333, -595, -963?\nAnswer: -1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 24*r. Let p(y) = 1166*y**2. Give o(p(k)).\nAnswer: 27984*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33079 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(16\/5))\/u)**(-15)\/(u\/(((((u*u**(10\/11))\/u)\/u)\/u)\/u)*((u**(-3\/8)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-4375\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = 15. Suppose -14 + 0 = b. Let i be (b\/(-6) - 1)\/(-10). What is the biggest value in -3, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -510 - -204. Let w = p + 306.00000251. What is w rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13703 + -33?\nAnswer: -13736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6699, -6697, -6695, -6693?\nAnswer: -6691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787, 1084, 1383, 1684, 1987, 2292, 2599?\nAnswer: 2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q = 0. Let i(u) be the third derivative of 0*u**5 + 2\/3*u**3 + 1\/120*u**6 - 7*u**2 + 0*u**4 + 0 + 0*u. Give i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -18. Suppose -62*x = -f*x - 180. Solve 0 = -0*i + 4*i - 3*v + 22, -x*v + 18 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5543 by -4.\nAnswer: -5543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((-592)\/(-80))\/(2\/60))\/2?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -450 + 455. Suppose -q - i*m = 12, -q + 28 + 0 = -3*m. Solve -3 + 29 = -q*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.4, -0.024, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14*m - 38. Let t(y) = 5*y + 13. Let r(v) = 6*f(v) + 17*t(v). Let p be r(4). List the prime factors of (p + 2)*(1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r - 130. Let q be j(-10). Suppose i + 5 = q. Let x = 2 + 3. Solve -i*v - 10 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:55 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21763624 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, 2, 4, 12\/17, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w - 8. Suppose -2*b + 8 = 2*b - 2*s, 4*s - 4 = w*b. Solve j + j + b = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*g - 113, 4*j - g + 46 = 161. Let s = -21 + j. Let u be -2*(1 + -2) - -2. Solve -u*o + 8 + s = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1 (c) -0.03 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Suppose 4 = r, -8*t + 11*t = 2*r - 14. Let q(n) = -4*n + 1. Let y be -5 + 7 + 7 + -2. Calculate t*q(k) + y*w(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(85)\/sqrt(5) + -3 + 4)**2 - (sqrt(170)*1*-4 - sqrt(170) - sqrt(170))\/(sqrt(10) + (sqrt(1000) - (sqrt(1000) + -1*sqrt(1000)) - sqrt(1000))).\nAnswer: -90 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 + -12010212?\nAnswer: -12021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrrrnr. Give prob of sequence rnnr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:39 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -170, -180, -154, -98, -18?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2 + 75*x + 150. Let a be o(-2). Solve -5*y + 2*s - 9 - 11 = 0, 4*y + s = -a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 2)*(1 - 16286\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9879351 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 493?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 14.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 44*h + 56 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -6*t, 0 = -4*i - 5*t + 9. Suppose 34 = 4*u - i. Suppose 18*p - 33*p = -450. What is the highest common factor of p and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(10)\/(sqrt(20)\/(-2*sqrt(10) + sqrt(10))))**2*-2*-4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0.07399.\nAnswer: 0.92601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -1267, -2861, -5093?\nAnswer: -7963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (8 - 3)) + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19756, -20615, -22038, -24019, -26552, -29631, -33250?\n\"Answer: b**3 - 288*b**2 - 2*b - 19467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-2)\/(-4)*2. Let s be (r - 3)\/(-2) + 0. Let f(o) = o - 6. Calculate f(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15360108 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (-5 + 1 + sqrt(1053)))**2 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47367\/18 + (-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9*p + 624 = 0. Let t = p - 18. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 70. Let z(m) = m**3 + 7*m**2 - m + 3. Let s(t) = -t - 7. Let y be s(0). Calculate the remainder when q is divided by z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*-11*16\/1056.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (8 + (16 - 28)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 17. Let d be s(13). Suppose -4*u - u - 2*b + 169 = 0, -4*u = -d*b - 124. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/7))\/u)\/(u**1*u))\/(u**(1\/4)\/u*u**10) assuming u is positive.\nAnswer: u**(-307\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**7\/21 + 333*c**6\/10 + 121*c**4\/12 + c**2 - 3*c + 246. What is the third derivative of t(a) wrt a?\nAnswer: -120*a**2 + 23976*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1990 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36910 or -5?\nAnswer: -36910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.078, 150, 0.2, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-44))\/((-66)\/3630) + -9 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000171455326 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*b + 967 = -b + 87. Solve -4*a - 5 = -b*d, -3*a = -6*a - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -374556 at least as big as -374555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 8:44 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5521800 is divided by 222.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 3 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1. Let u(p) = -2*p - 18. Let z(n) = g(n) - u(n). Let b be z(9). Let q = b + -13. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 24310145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -4. Differentiate 4*c**3 + 0*c**3 - 10 + g - 3*c**3 with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 10499622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**3\/3 - 7*a. Let r(z) be the third derivative of 2*z**4\/3 + z**2. Calculate r(k(c)).\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u - 0. Let a(p) = 4*p - 1. Let z(q) = 7*q - 2. Let n(w) = u*z(w) + 5*a(w). What is the first derivative of n(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2175999, -4351998, -6527997?\n\"Answer: -2175999*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 8*g + 9. Let y be c(-9). Let d be y + (-2 - -3) - 113. Let r be (-14)\/20*16\/d. What is the biggest value in r, -1, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)\/(3\/159*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 38. Suppose 0 = -8*b + 6 - r. Calculate the remainder when 16 is divided by -3 + b\/2*(-12)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19523\/256 smaller than 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3\/2 - 819*k**2\/2 - 8523*k\/2 + 9339\/2 = 0.\nAnswer: -11, 1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -535046 and -535002 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56\/11, 5473, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 383, 399, 323, 149, -129, -517, -1021, -1647?\n\"Answer: -o**3 - 40*o**2 + 143*o + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -16*t - 2*h, -t - 5*h = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 22*r = 36. Calculate the highest common factor of 18 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107307 by -2002.\nAnswer: -107307\/2002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63970 + 11450676\/179. Let b = -10101\/1790 - r. Calculate the common denominator of b and -28\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/9 - (-2)\/(-3). Let t(k) be the first derivative of -k**2\/2 + 14*k - 2. Let n be t(9). Solve a - m + n = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 1. Let w(q) = -26*q**3 + 16*q**2 - 2*q + 6. Let z(i) = 12*j(i) + 2*w(i). Find x such that z(x) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 z when four letters picked without replacement from oozoooozooooooozoooo.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/3)*x))\/x**(-1))\/(x*x\/(x*x**(1\/3)))**17 assuming x is positive.\nAnswer: x**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**3*w**3 + 2395*u**3*w**2 - 173*u**2*w**3 wrt w?\nAnswer: 24*u**3 - 1038*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 71*c = 34*c + 42*c - 131, -5*m = -c - 8 + 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -6, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.1 + 22.7. Which is bigger: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -2767, -6613, -11987, -18895, -27343, -37337, -48883?\nAnswer: -61987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 m, and 1 z when four letters picked without replacement from uzsumhm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i**3 - 18*i**2 + 0 - 3*i - 23\/12*i**4. Let f(y) = y. Determine f(a(m)).\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f. Let x(m) = -1935*m. What is x(q(r))?\nAnswer: 30960*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h + 2. Let d be j(2). Let x be 4\/(-18) - 17\/d. Which is smaller: x or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(12\/12)\/((-4)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/21, -4\/5, 0.1, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 2*f)*(-5*f**2 + 5*f**2 - 5*f**2 + (-2*f + 3*f + 0*f)*(-2*f + 3*f + 0*f)).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:22 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - p - 3*p - 55*p + 69*p + 37*p + (-5*p + 6*p + 0*p)*(4 - 1 + 1) to h + l*p and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:32 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157446 = 4*d + 2*i, -5*d - 9*i = -13*i - 196801. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4321 = -w + 8*g, -4*w + 17266 = 2*g. Suppose q = -3*m - 4311, 0*q - w = q + m. Round q to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 18*r + 9*r)*(-103 + 58 - 101) - 3*r - 2*r + 3*r)*(1 - 3 + 0)*(-2*r + 2*r - 2*r).\nAnswer: 4664*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 4*w**4 - 4*w**3 + 2*w**2 + 5*w + 2.\nAnswer: -(w - 1)*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*j - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.9415 - 0.0585. Let y = -26\/3 - -79\/9. Which is the nearest to -1? (a) y (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-17 + (74 + -84 - (0 - -116)))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172509631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010111001101 (base 2) to base 13.\nAnswer: -6366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.04.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let d be (20\/8)\/(v\/4). Let y be (-1)\/1*5\/d. Which is smaller: y or 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -98*m**4 - 8*m**3 - 2253*m + 4. Let o(y) = -96*y**4 - 10*y**3 - 2254*y + 5. Let j(x) = -5*f(x) + 4*o(x). Find the second derivative of j(z) wrt z.\nAnswer: 1272*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 1 + 1)*(-4*v**2 - v**2 + 3*v**2) + 542*v**4 - 1101*v**4 + 545*v**4.\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30040133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/9*(4 - 1). Suppose 2*d - d + b = 0. Let g(w) = 3*w**2 + 21*w + 10. Let p(h) = -2*h**2 - 14*h - 7. Let k(a) = 5*g(a) + 8*p(a). Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15.2. What is m rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g**3 - 6*g**3 - 2*g + g**2 + 20*g**3 to a*g**3 + h*g**2 + x*g + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 58 - 13 + 3 - 2*j + 46 in the form c + i*j and give c.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54823*v**6 - 59*v**4 + 13*v**3 + 1020*v**2 + 4701?\nAnswer: -6578760*v**3 - 1416*v + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 940918327\/51 - 18448532. Let s = -847 + n. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 14, 1, 1\/4, -13, 4, 0.392?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90\/119 - -8\/17. Let q = 94 + -94. Let s = 0.35 + -0.05. Put s, q, m in ascending order.\nAnswer: m, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 283*z - 12575. Calculate y(39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*l - 15 = 0, u - 4*u + l = -8. Suppose 3*p - 36 = -3*j, 9 - u = -j + 4*p. Suppose 4*v = j*v - 1796. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 2*g**2 - 9*g + 6*g. Let r(x) = 3*x - 3 + 3. Give m(r(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7912830 is divided by 2348.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 944*y**2 - 3752*y - 3744.\nAnswer: -2*(y + 2)**2*(y + 468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j + 142 - 53*j + 24*j + 23*j. Calculate a(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3202, -3341, -3354, -3241, -3002, -2637, -2146?\n\"Answer: 63*z**2 - 328*z - 2937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)\/(m\/(m\/m**(-5\/4)))*(m*m\/(m**(-4)\/m))\/((m\/(m\/(m**(-6\/7)\/m))*m)\/m) assuming m is positive.\nAnswer: m**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 13*m + 21 + 4*m**2 - 2*m - 21 in the form p*m**2 + b*m + j and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 equal to -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*z**2 + 11*z**2 - 7*z**2 + (3*z - 3*z - 2*z)*(0*z + 2*z + 0*z) + 3*z**2 + 2*z**2 - 3*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u, 5*m = -4*u + 25. Suppose 0 = 3*g + 4*o - 6 + 1, m = o. Let p be -1 - -4 - 2 - g. Solve -2*i = -p*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (22 + -44) - (4 - 1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*u + 2844 = 1388*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 9. Suppose 3*s + 120 = a*s. Suppose -m + s = 5*v, -5*v + 4*m + 10 = m. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 35*h**2 + 15*h - 78. Let k be r(35). Let w = k - 448. Which is smaller: w or -2\/1255?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/5))*l*l*l\/(l*l**6))**(1\/15)\/(l*l*l\/((l**2*l*l)\/l)*l**6)**(-4\/3) assuming l is positive.\nAnswer: l**(578\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 2. Let f(c) = c**2 - 4*c - 2. Let s be f(5). Let o = 3 - s. Let y = 0 - o. What is h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1505*k**2 - 6*k - 3. Let j be 3\/18 - 75\/18. Let a be c(j). Let z = a + 45059. What is z rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -49*r + 10. Is d(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228057156 by -4.\nAnswer: 57014289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5 - 176. Let n = d + -1013\/6. What is the common denominator of 65\/82 and n?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 4. Let s be p(-3). Let n be (-6)\/((-22)\/143 - 24\/13). Suppose -n*b = -38 + s. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + 1 - 1)*(7 + 0 - 3) - 3*v + 4*v - 3*v)*(7*v**3 - 2*v**3 - 3*v**3) + (31*v + 9*v**2 - 31*v)*(0*v - 3*v**2 + 0*v).\nAnswer: -23*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2, 2, -865 in decreasing order.\nAnswer: 2, 1, -2, -4, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447\/8 + -56. Let q = -10\/261 - -281\/522. Which is the smallest value? (a) -1\/490 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 4*j - 21, -3*n + 11 = -4*j. Let s = -2 - -3. Suppose 2*v + 9 = s. Put n, 3, v in decreasing order.\nAnswer: n, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 30*g**2 - 11*g - 20. What is d(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 6616\/(-6))*(-40 - -22)\/6.\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/4)*r)**(10\/7)\/(r*r\/(r\/r**(-8))*r**8))**40)**(-6) assuming r is positive.\nAnswer: r**(-1320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4178 - 41727\/10. Let m = -26445 - -529013\/20. What is the common denominator of u and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + u + 3 = 2*p, -4*u - 12 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h**3 - 92 + 19*h**2 + 392 + 215*h + 22*h**2 - 57*h**2 - 89*h**2 + 5*h**4 = 0. Calculate h.\nAnswer: -4, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 11*c**2 + c - 11. Let m be u(11). Sort 1, m, -1 in decreasing order.\nAnswer: 1, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 18. Let c be h(-9). Suppose x - 2*x - 2*u - c = 0, 3*x - 2*u = -11. Let a = 2 - 0. Put 4, a, x in descending order.\nAnswer: 4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2134 + -2?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 14*m + 103. Let z(u) = 13*u + 72. Let o(n) = 38*n + 215. Let p(r) = -4*o(r) + 11*z(r). Let y(c) = -8*p(c) - 5*x(c). Determine y(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from eeeeeeeeekkkee?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13275 and 13275.\nAnswer: 13275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -20 + 7 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 (base 9) in base 4?\nAnswer: 31120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700 divided by 350.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -35*t + 29*t. Let i(j) be the second derivative of j**3\/3 - 3*j**2 + 37*j. Give i(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k. Let w(i) = -i**2 - 13*i - 1. Suppose -n + 3*n + 2 = 0. Let j be (8 - 1) + (-1 - n). Let o = 6 + -4. Calculate j*h(q) + o*w(q).\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/(4465\/(-564))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 12 - (-2 - -6 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 183940125.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**3*m**3 - 36*h**3 - 39*h*m**3 wrt m.\nAnswer: -9*h**3*m**2 - 117*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 - 918*d**3 + 12171*d**2 + 27108*d + 14016 = 0.\nAnswer: -1, 16, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*u**2 - 205 - 2*u - 33*u**2 - 35*u**2.\nAnswer: -328*u**2 - 2*u - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(153) - (sqrt(153) + sqrt(153)*-1)))*-3)**2.\nAnswer: 108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4114251 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2415 - -6?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-2 + 21\/14). Let g(p) be the second derivative of 7\/2*p**2 + 1\/6*p**4 - 3*p + 0*p**h + 0. What is the derivative of g(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = -53. Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 1, b: 1, n: 2, f: 2}. What is prob of picking 1 f, 1 i, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23765909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-49)\/((-86807028)\/(-24))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and -109\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46718.\nAnswer: 2, 7, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1153 divided by -7\nAnswer: 1153\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.8 - -0.8. Let c = -10 - t. Let n be (-1)\/4 + (-1)\/(-8). Put 4, c, n in increasing order.\nAnswer: n, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 234*j + 471. Calculate a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 14*f + 6. Suppose 0 = -0*j - j - 2*x - 11, -3*j = 4*x + 43. Let l be (-2 + (-24)\/(-9))*j. Let s be y(l). Solve -v = s - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let i be n(-5). Suppose 3*q - 4*w = -14, 0*q - q + w - i = 0. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 = -20. Let j = i + -27. Is 2 - (-1214 + -3 + j - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/57 and 11\/291.\nAnswer: 5529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 44*s**2 - 42*s - 185. Calculate f(45).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = k - 5 - 28, -3*k = -3*l - 135. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79448213.\nAnswer: 13, 37, 165173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + 2*x + 2*x)*(4 + x**3 - 4) - 2*x**4 + 2*x**3 - 2*x**3 + 0*x**4 - x**4 - 2*x**4)*(-3 - 5 - 1).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 53 = -71. Suppose -2*f + f + n = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 + s**4 + 0*s**4 + 67*s**4 + 5929*s**2 - 5929*s**2 + (0*s + s - 2*s)*(s**2 - s**2 + s**3) to o*s**2 + j + t*s**4 + b*s**3 + y*s and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1098 and -5\/6563148?\nAnswer: 1201056084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -426319 + -506\nAnswer: -426825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3*r - c**3 - c**2*r - 25339*c*r - c - 21682 wrt r.\nAnswer: 3*c**3 - c**2 - 25339*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 2*d - 1. Let f(r) = -1. Let y = 3 - 1. Let h = 6 - y. Suppose 2 - h = 2*i. Calculate i*p(x) + 3*f(x).\nAnswer: -2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 2\/13 (c) -3 (d) -1\/5 (e) 4\/167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 387 - 385 = i, -16*i + 5*f = -32 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 - 1 - 3*o**2 + (-o + 0*o + 7*o)*(o + 4*o - 4*o) - 3*o**2 + o**2 - 3*o**2.\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607 by -607.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 2842*t - 123369 = 16981 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/667 and 59\/2552?\nAnswer: 58696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19785 + 0?\nAnswer: -19785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(340\/60 + -5). Sort 54, -44, i in increasing order.\nAnswer: -44, i, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/90 + 4*b**4\/9 + b**3\/27 - 8*b**2\/3 - 912*b. Determine l so that w(l) = 0.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 9*w + 7*w - 531, -2*w = 2*l + 1062. What is the common denominator of 55\/4 and l\/(-432)*(-12)\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q + 608. Suppose 0 = -3*i + 3*p + 19 + q, -i + 2*p = -55. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500010608 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {r: 7, f: 1, h: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 33. Sort 3, j, -4, -1.\nAnswer: -4, -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -15 + -2 - (0 - -2)) + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16395 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -42*t - 2175. Let c(z) = -17*z - 1088. Give 5*c(j) - 2*o(j).\nAnswer: -j - 1090","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose -q*f + 6 = 2*a, 4*f - 2*a - 13 = -5*a. Suppose 0 = -f*v + 167 + 333. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) -0.1 (c) -15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 100\/(-6) - (-6)\/9. Suppose -z + 8 = 4*a - 2*a, 0 = -5*a - z + 26. Let l be t\/6*9\/a. Is l bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -25, 4*z - 10 = y - 32. Solve y*n + 10 = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/6 + 38*q**3\/3 + 105*q**2 - 290*q. Factor a(i).\nAnswer: 2*(i + 3)*(i + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2507 + 0.344889967.\nAnswer: -2506.655110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3593 + 9327. Calculate the highest common divisor of 85 and o.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (1 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 4315665?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 30*z**2 + 39*z + 1191. Calculate q(0).\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4288 times 92\nAnswer: 394496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/6*3 - (-1)\/(-2). Put -0.4, -11, j in decreasing order.\nAnswer: -0.4, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 10*g**4\/3 + 18422*g**3 - 25844*g**2 - 773776*g\/3 + 265344 = 0.\nAnswer: -5528, -18\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/5 + 36*m**4\/5 + 232*m**3\/5 + 116*m**2 + 30*m - 200 = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 7836 and 3151244.\nAnswer: 3159080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.1. Let q = 68961 + -68966. Which is the closest to w? (a) -2 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence savv when four letters picked without replacement from {q: 2, d: 1, v: 4, s: 4, a: 9}?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1785 and 2609925?\nAnswer: 18269475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60267285 and 5804.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 - 530 = -x. Suppose 10*g = -g + x. What is the remainder when g is divided by (-2)\/((-3)\/(40 - 1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00214 times 1.48?\nAnswer: 0.0031672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from {i: 5, e: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18.5*-3220\nAnswer: 59570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633397978, 633397976, 633397972, 633397966, 633397958?\nAnswer: 633397948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -562\nAnswer: 40\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) - sqrt(315)*1*-4 - sqrt(315))\/sqrt(9))\/(sqrt(20)\/(sqrt(324) + sqrt(324) + sqrt(324) + -1*sqrt(324) + sqrt(324))))**2.\nAnswer: 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -244*b + 2942. Determine y(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -54, -80, -106?\n\"Answer: -26*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-6)*4\/(-5). Let v be 3 - (z - (3 + 0)). Which is the biggest value? (a) 5 (b) 2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + z. Let p be (2 - (5 - -2))*z. Suppose 2*k - 13 = -5*h + 5*k, 3*h = -k + p. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7469, -7289, -6979, -6533, -5945, -5209?\n\"Answer: i**3 + 59*i**2 - 4*i - 7525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/220)\/((-3)\/18*-3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/453 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/56 and -93\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*o + 239*o + 310*o - 167*o in the form u + s*o and give s.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.69005 - -13.6899. Let l = b - 8. What is l rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 122. Let b(k) = 4*k**2 + 1. Let z be b(2). Let x = z - l. Which is smaller: x or 2\/49?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 17680 = -45*g. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 36, 3, 122322, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1278*y**5 + 548*y**2 wrt y?\nAnswer: -76680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 3885.\nAnswer: 11655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -81079, -1\/3, 265?\nAnswer: -81079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47712*g**4 - 7*g**2 - 216*g wrt g?\nAnswer: 1145088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794000 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Suppose -4*r = n + n - 230, -q*r + 236 = -4*n. Suppose -10*f + r = -9*f. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -142906*g + 142902*g - 3*x + 26, -g + 2*x - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13144567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**2\/2 - 2*t + 4. Let b be c(-6). Suppose -9*y + 7*y = -b. Solve -y*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 - 50*t + 587. Is j(37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -129*h + 132*h. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 48*q**2 - 3*q - 147. What is w(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -107. Let j(y) = -14 + 24*y - 8 + i. Does 28 divide j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2187*a**5 - 16767*a**4 + 35802*a**3 + 2028*a**2 - 52728*a.\nAnswer: 3*a*(a + 1)*(9*a - 26)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - 1566 - 1874. Let n = -342 - a. Solve 7 = -n*z + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6093916*a + 12187828. Calculate z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 18. Let k(p) = 5 - 29*p + m*p + 14*p. Let u(w) = -6*w + 14. Calculate 11*k(y) - 4*u(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11961 and 1433991?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.9, 0.2, 17, 9, -0.3, -9 in decreasing order.\nAnswer: 17, 9, 0.2, -0.3, -6.9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1136*h**2*u**4 + h**2*u + 52*h**2 - h*u**5 + 59*u**2 wrt u?\nAnswer: -27264*h**2*u - 60*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9192*(55\/(-15) - -3). What is the tens digit of 1\/6 - l\/96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * -0.137.\nAnswer: 6.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*q - 102*q + 319*q + 548. Let l(a) = 50*a - 1. What is l(q)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (-12 - (-21 - -18)) + 11 + (0 - -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 81. Let x = -7 - -27. Let k = f - x. Solve l = 3, -l = b + k*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*o. Let q(i) = 7*i**2 - 6*i - 2. Let v = -305 - -300. Let p(d) = -d**2 + d. What is o*q(r) + v*p(r)?\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 996*d**2 - 29372*d - 28380.\nAnswer: -4*(d + 1)*(d + 33)*(d + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 844, 1271, 1700, 2131, 2564?\nAnswer: 2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 d when four letters picked without replacement from sndznbzbnz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -452 or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 32*k - 16. Let d be t(-10). Let l(m) = 16*m**3 + m**2 + 5*m - 28. Is l(d) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(804\/(-96) + 7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**4 + 7*n**4 + 4*n**4)*(18 - 19 - 10) to the form b*n**2 + l*n + f*n**4 + z + w*n**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (120\/28)\/((-6)\/42). Let t be (6\/8)\/(1 + q\/48). Determine s so that 4\/9*s**3 + 0 - 8\/9*s**t + 4\/9*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b + 1. Let x(r) = 3*r**2 + 5*r + 7. Let p(o) = -14*s(o) + 2*x(o). Find the second derivative of p(h) wrt h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 100 = -360. What is the remainder when p is divided by (2\/(-4))\/(1\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:32 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**27)**(-9\/2)*(q\/(q**(4\/3)\/q)*q*q**6)**(-2\/35) assuming q is positive.\nAnswer: q**(8413\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10014 - -28132. What are the prime factors of i?\nAnswer: 2, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062185 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3727877617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916472?\nAnswer: 2, 109, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 3:25 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-30)\/b)*b)\/(b\/(b**(-1\/21)*b)))**38 assuming b is positive.\nAnswer: b**(26296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 54125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39210 or -39231?\nAnswer: -39210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11*h - 6*h = -39, -5*f + 65 = -2*h. What is the remainder when 374 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 1 + 11. Solve -v - 4*t = g, -v - 3*t + 3 = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/4 - 175*t**3 - 63183*t**2\/4 - 404225*t - 1375304 = 0. What is t?\nAnswer: -599, -56, -41, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 474*g + 927. Let n be j(-2). Is -32 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5113\/15321 + 2\/5107. What is the third biggest value in -257, -5, 0, 1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) -28 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 5088.\nAnswer: 45792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*n**2 - 475*n**2 + 1433*n**2 - 484*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470312056.\nAnswer: 2, 257, 228751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 2*t**2 - 2*t - 1. Let w(d) = 0*d + 1 - 2*d**2 + d + 2*d + 0 + 5*d**3. Let g = 46 - 42. Suppose -q = g*q - 10. Determine q*w(z) + 3*f(z).\nAnswer: -2*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = 10. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965 less than or equal to -16.99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c + 2 = -k, 0 = -k - 2*c - 2. Let h be 21350010\/5 - (4 + k). Round h to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -q + 2. Suppose 1777 = -514*d + 111*d - 641. Does d = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15476180.\nAnswer: 2, 5, 83, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*f - 51981 + 82989 = 0 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22318405.2 minutes in weeks?\nAnswer: 2214.1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410136?\nAnswer: 2, 3, 23, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21561854.6+0.3\nAnswer: -21561854.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - 152. List the prime factors of (17 - w)\/((-8)\/(-136)).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2548) + 3*sqrt(1300))\/(3*sqrt(1296)*1)*1.\nAnswer: 43*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = -4*j + 3*v, 2*v = 3*j + 404 + 210. Let t = -60 - j. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j + 14. Give b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-845 + 726 + 701)*(1 + 1 - 3)*(-2 + 3*j**2 + 2) - 4*j**2 + 5*j - 2*j**2 + 5*j**2.\nAnswer: -1747*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391492.\nAnswer: 2, 347873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 255 + -359. Let k = -123 - w. Put -10, -0.2, k in descending order.\nAnswer: -0.2, -10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*f**3 + 1114*f**2 + 180165*f?\nAnswer: 228*f + 2228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -37*m**2 - 14*m - 3. Let h(g) = 13*g**2 + 5*g + 1. Let o(c) = -17*h(c) - 6*t(c). Let d(u) = -48*u**2 + 44*u - 44. What is -2*d(a) - 88*o(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*r = 34 - 312, -3*l + 3*r + 243 = 0. Let b = l + -59. Suppose t + b = 4*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43516 and 2.\nAnswer: 43518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 + 0*h**3 + 0*h**4 - 7\/30*h**5 + 0*h + 198*h**2. Let o(t) = -5*t. What is o(m(q))?\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1387238 (base 9) to base 11\nAnswer: -483876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from {p: 1, b: 6, w: 1, v: 2, j: 10}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30621?\nAnswer: 3, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-1)\/2). Let d = -6 - -8. Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068242 to seven dps.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 1*44\/(-4). Let y be (-8)\/4*(84\/c)\/7. Solve s - 3 + 7 = 4*v, -5*s + 3 = y*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 16*w**2 + 55*w + 22. Give p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (0\/(-2) - -9). Let f be (1 - 1)\/((-12)\/r). Solve f*d - 3*h + 28 = 5*d, 0 = 5*d - 4*h - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + j + 15 = 0, -3*j + 15 = 5*s. Let u be (-28)\/8 + s - 18\/(-4). Suppose 0*q + 3*q = -3. Which is the nearest to q? (a) 0.2 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 5*u**4 + 0*u**4 + 8*u**4 + (-6*u + u + 3*u)*(-4*u - 4*u**3 + 4*u).\nAnswer: 11*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/25 and 83\/1110.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10 - 6*t**2 + 9 + 7*t - 9*t. Determine c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 + -16.78. Which is the nearest to w? (a) -2 (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from {z: 5, y: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2 + 0*k + 0*k**2 + 10\/3*k**3. Let m(l) = -l**2. Give m(s(u)).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 867107\/405 - 2141. Let j be 80694\/102060 + ((-14)\/4)\/7*1. Let s = o - j. Which is the second smallest value? (a) -3\/8 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/24 and 133\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/8 + -2)*-2. Which is the third smallest value? (a) -2\/13 (b) 0.05 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 - 136. What is the second derivative of 0*m**3 + 386 + 3*m**3 + 6*m**w - 380 - 4*m wrt m?\nAnswer: 72*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 35.99999981. Round v to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from addsutd. Give prob of sequence ua.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 + 551*t**2 - 63 + 10 as o + w*t + a*t**2 and give a.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 14*x**2 - 11*x + 1. Give j(-11).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -73*h - 1371. Let x be m(-19). Solve x*a = 13*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -253 - 16*k + 52*k**2 + 245 - 14*k**2 - 14*k**3 = 0. Calculate k.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10d9 (base 16) to base 7.\nAnswer: -15401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1634 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhccchcccchhg. What is prob of picking 2 c and 2 h?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 1 + -28 + 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121722895 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -1582, -12, -2 in descending order.\nAnswer: 3\/8, -2, -12, -1582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -894494, -894286, -894078, -893870?\n\"Answer: 208*o - 894702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 5\/8*c**4 + 0*c + 1\/3*c**3 + 21\/10*c**6 + 236*c**2 + 0*c**5 + 0. Find the second derivative of r(q) wrt q.\nAnswer: 1512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 - 12*t + 35. Let y be q(3). Suppose 5*v = -1 + 16. Put v, -5, y in decreasing order.\nAnswer: y, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86469.77us in nanoseconds?\nAnswer: 86469770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4190256 divided by -598608.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18311, -36681, -55051, -73421, -91791, -110161?\nAnswer: -128531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 15, a: 5}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65308.\nAnswer: 2, 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*p - 14 = 0, -22 = 3*u - 3*p + 7*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 2. Let b be u(0). Let g(o) be the first derivative of 0*o**2 - 3 + b*o - 2\/3*o**3. Find y, given that g(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/3 + 170726*w**3\/3 + 56908*w**2 - 170726*w\/3 - 170725\/3 = 0. What is w?\nAnswer: -170725, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 19*m - 15. Suppose -4*z = 2 + 50. Let n be o(z). Let x be (-42)\/n*6\/46. Sort -4, -0.3, x in ascending order.\nAnswer: -4, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p + 5*p**3 + 3*p - 3*p**2 - 4*p**3 - 4. Let w be s(6). Suppose -5*l = -3*l - w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 664*f**2 - 2818*f**2 - 2352*f**2 + (1 + 1 - 4)*(f + 2*f**2 - f) to the form p*f + d + m*f**2 and give m.\nAnswer: -4510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/9 and -67\/1311.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:02 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204\/77 + -26\/11. What is the closest to k in -3, 0.4, -2\/13, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109143, -109119, -109095, -109071?\n\"Answer: 24*s - 109167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7592.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 982*s + 978*s - 55, -i + 2*s - 25 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -23*t**8\/112 - t**4\/12 + 3*t**3 - 3*t**2. Find the second derivative of x(d) wrt d.\nAnswer: -1380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -89349*z - 87. Let h be t(37). What is h rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1)\/((-2 - 1)\/(-3)). Let l = -3 + 2. Calculate the remainder when (6 + -23)*l*g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22913060 and -127\/2640.\nAnswer: 3024523920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8.5, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 244*o**2 - o + 9. Let a(y) = 81*y**2 + 3. Let q(v) = 7*a(v) - 2*l(v). List the prime factors of q(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -22.\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 105, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108604558138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 2. Let s(f) = 7*f**2 + 2*f + 91. Give -s(y) + 5*w(y).\nAnswer: -2*y**2 + 3*y - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 11:53 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10888\/17247 or 1?\nAnswer: 10888\/17247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 - 3*t - 7. Let o be l(5). Let v = -1 + -4. Let a be (v\/(-2))\/((-4)\/8). Put a, -1, o in decreasing order.\nAnswer: o, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -4 (c) 2\/5 (d) -0.3 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127\/(-508))\/(((-4)\/(-2))\/44)*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 51. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, 3, 15, 114 in increasing order.\nAnswer: -5, -2, -1, 3, 15, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18759468 by 6.\nAnswer: 3126578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67921787, 135843575, 203765363, 271687151, 339608939?\n\"Answer: 67921788*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 25. Let p = 28 + v. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.8 - 9. Let r = -1.1 + v. Suppose 284*j - 217*j = 335. What is the second biggest value in -2, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 204748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/14 - -11*(-8)\/(-308). Solve -16*z + 66 = -a*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 43*d**2 - 32*d - 419. Give j(42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72b4 (base 12) to base 5.\nAnswer: 400040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -2 - (-6 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 2*v - 0, -5*h = 5*v - 20. Let u = h + -6. List the prime factors of u\/16 + 642\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39478112 + 710404205\/18. Let s = z - -11216. What is the common denominator of 81\/10 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011348 rounded to seven dps?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.52558 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19773*p + 79096. Determine v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 53989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/((-21)\/9)*(19 + (21 - 44))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 + c**2 + 2*c**2)*(-1 + 0 + 0) + 0*c**2 + 0*c**2 + 2*c**2)*(-141*c**3 + 253*c**3 + 495*c**3).\nAnswer: 607*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from {k: 5, j: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, -8, -270, 3 in ascending order.\nAnswer: -270, -17, -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/84 - (-17)\/(-34)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2378 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 4*x - 944. Let z = -1137 + x. Let t be 18\/63 + z\/(-7). Calculate the greatest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -494, -1065, -2022, -3491?\nAnswer: -5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -431022 - -431500.303. Let d = 478 - a. What is d rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 + 0 + q**2 - 3*q**2.\nAnswer: -2*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -8. Let j(n) = n**3 - 6*n**2 - 7*n + 6. Suppose 0*p - 48 = -u + 5*p, -5*u = 4*p - 95. Calculate the remainder when u is divided by j(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345329441, -690658881, -1035988321, -1381317761, -1726647201?\nAnswer: -2071976641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 - 5*p - 3. Let g be b(7). Suppose 22 = -5*r - 8. Let z be (g\/r)\/((-4)\/24). Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82270 divided by -16454?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let k be o(5). Suppose 8 - 44 = -6*v. Let i = v + k. Solve 5 = -i*f + f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1. Let h(z) = z**2 + 7*z + 7. Let v be h(-5). What is the biggest value in 2\/17, x, v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b04 (base 13) in base 9?\nAnswer: -32610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*s + 49 = -2*s, -4*s + 10 = 5*r. Suppose -r*f + 2*f + 20 = 0. Let y = -19 + 17. Sort f, y, 0 in ascending order.\nAnswer: y, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:15 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 y, and 1 u when three letters picked without replacement from {b: 1, u: 1, y: 1, j: 2, l: 1, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2 + 2)*(42 - 42 + 23*g**2) + (-2*g**2 + 0*g**2 - 3*g**2)*(-3 + 2*g + 3) + (-2*g**2 + 2*g**2 - 3*g**2)*(5 - g - 4 - g) + g**3 + 0*g**3 - 2*g**3.\nAnswer: 41*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-373)\/(-5) + 260\/25 + -10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57659760.\nAnswer: 2, 3, 5, 53, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.14 * -0.76\nAnswer: -1.6264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(40\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 5)*(8 + 1 + 2)*(2 - 2 + 2*r)*(-r - 3*r + 2*r) in the form y*r + q + i*r**2 and give i.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1986 = -870*q - 5831 - 3115 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58163 or 58154?\nAnswer: 58163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8358, 16523, 24690, 32859, 41030, 49203?\n\"Answer: l**2 + 8162*l + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.77 - 0.02. Let x = 83.25 + n. Let p = 83.18 - x. What is p rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01647 + -0.016. What is f rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 - 33*p**2 + 67*p**2.\nAnswer: 55*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 255 = 0. Let y(i) = i**2 + 12*i + 28. Let b be y(-11). Calculate the greatest common factor of b and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/((-130)\/480)*(-4)\/(-10). Which is greater: 18 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/66 + 42\/308.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10599 > 0.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21161938.\nAnswer: 2, 7, 29, 47, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -634 - -1048. Let d = b + -415. What is the biggest value in d, 0, 2\/5, -0.01?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 28. Let f be c(-16). Let b be (9\/f)\/(2\/(-8)). What is the second derivative of -4*s**5 - b*s - 6*s**5 + 0*s**5 wrt s?\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -16 - 20. Solve -w*y + 2*y - t = -10, t = 3*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**2 - 4*s**2 + 13*s**2 to the form i + v*s**2 + y*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5322\/22175*(-5)\/4*20\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 9*g**2 - 11*g - 7. Let i be 25*(1\/(-5) + 1). Suppose 30 + i = h. Calculate the remainder when h is divided by y(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*v + 110*v - 2 - 59*v + v + 2*v - 4*v + 3*v - v - 3*v + (2 + 3 - 7)*(2*v + 2*v - 3*v).\nAnswer: 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = 5*q - 4*n, -5*n + 15 = 4*q. Suppose q*f - 22 = f. What is the common denominator of 4\/f*(-38)\/(-4) and -39\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 19*z + 75. Let p = -230 + 219. Is j(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -2\/93, -1, 260, 154?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -71169346\nAnswer: -7116934.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -423361*s**2 - 106*s + 267. Let f be h(3). What is f rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1714 - a91?\nAnswer: -25a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 19*u - 18. Determine p(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/15)\/(4\/40). Differentiate -z**2 - z**2 + p - 1 - 1 with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2668182 = -50695436\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2045246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 12*p**2 + 16*p + 20. Let n be u(10). Let d(g) = -g**2 - g + 4. Let l be d(-4). Let h be 2\/(-10)*n\/l. Which is bigger: 9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**3 - 232*q + 226*q. Let y(r) = 2*r. Suppose -4*n = 2*s + 22, -n - n + 5*s = 5. What is n*y(z) - 2*p(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 3*o**2 - 4. Suppose -5*m + 4*p = -27, 130*m - 133*m - 43 = 5*p. Let i(z) = z**3 + z**2 + z + 1. What is m*g(d) - 4*i(d)?\nAnswer: -3*d**3 - d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*q = -253*q - 52503 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 654234168 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -11*a**4\/12 + 4*a**3\/3 + a**2\/2 + 15*a. Suppose 2*i + 8 + 8 = 0. Let u(v) = -4*v**2 + 3*v. Determine i*u(m) + 3*s(m).\nAnswer: -m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -128, -235, -402, -617, -868?\n\"Answer: 2*y**3 - 42*y**2 + 5*y - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21 - 16*m**2 + 29 + 24 wrt m?\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3408\/13 - -262. Let g = 0.309 + -0.009. What is the smallest value in -0.4, p, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 21a4a?\nAnswer: -21a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 34. Let i be t(-11). Let v = i - -452. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2247 - 2222. What is the remainder when 72 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - 15 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 15*q + 16. What is the units digit of 36 - 2*(q + (-9)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*r - 24, 4*h + 4 = r + 16. Let z be 2\/(-3)*6\/r. Let w(u) = -8087*u**2 + 3*u + 4067*u**2 + 4030*u**2 - u - u. Determine w(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - (-77826)\/1547) + 90\/(-39)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36393 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 342*y**2 - 633*y + 99459. Give g(343).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4494)\/(-1284) - 4\/(-8). Let r(v) = -v - 5. Let t be r(-5). Solve 2*m - x + a = t, -m + 5*x + 0 = 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/3))**17\/(q**5\/(q\/(q*q**4)*q*q)))\/(q**(-6)\/(q*q**(1\/3)*q*q))**42 assuming q is positive.\nAnswer: q**(1240\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 - 6. Determine w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - 14\/3. Let c(h) = h**2 + 8*h - 20. Let t be c(-10). Let m = a + t. Let z(d) = d**3 + 6*d**2 + 6*d - 3. What is z(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 679 + 4 + 0\/2. What is the units digit of k\/21 + (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/5562732 and 45\/2251582.\nAnswer: 94566444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-42)\/(m**(-1))**(4\/31) assuming m is positive.\nAnswer: m**(-1298\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 1. Let d be t(1). Let f be d + 1 - (-1 - 0). Suppose f = 2*b + m - 56, -64 = -4*b + 2*b - 3*m. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (-5*sqrt(567))**2)*-2.\nAnswer: -28350 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from ixxi?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -4 - (-9)\/(12312\/3208)*-3. Put -3, g, -0.04 in descending order.\nAnswer: g, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2 + 71*j - 462. Determine t(9).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -1 (c) -3 (d) -0.3 (e) 49 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75.6877 + -309.6.\nAnswer: -233.9123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -28*v**3 - 3*v**2 - 2*v. Let m be f(-2). Suppose -5*n + 2*j = 7*j - 110, 86 = 3*n - j. Calculate the greatest common divisor of m and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than or equal to -17068\/1079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2408 and 8?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3352560\/488457 - 4\/(-158). Factor j*o**2 - 2\/9*o**3 - 448\/9*o - 512\/9.\nAnswer: -2*(o - 16)**2*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(3\/4)*b)\/b*b*(b*b**(-21)*b)\/b)**(-2\/85))**(-13) assuming b is positive.\nAnswer: b**(-897\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1066 and 14.\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2\/(-620000)*2). What is i rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 11\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3825 and 104805.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 + 3*p**2 - 3*p - 7. Let t(g) = -18*g**3 + 10*g**2 - 10*g - 22. Let c(x) = 10*m(x) - 3*t(x). Differentiate c(k) wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 17. Let n be u(-9). List the prime factors of (-4)\/n + (-12492)\/(-78).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 39858*b + 438560. Give r(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/284 and 35\/68.\nAnswer: 4828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*b + 29 = -36, 0 = -s + b - 5. Let z(w) = -15*w - 8*w + 2 + 22*w. Is z(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 13*r. Let t = -4 + r. Is 5 a factor of ((-80)\/t)\/(2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 + 3*n - 3. Let m(q) = 221*q**2 - 65*q + 65. What is 3*m(s) + 65*u(s)?\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 5. Let u be m(-5). Let o be 2\/(-6)*(u + 1). Let p(h) = -1 - h**3 - 1 + 2*h + 0 + 5*h**2 - 5*h. Calculate p(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -243502211?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -38 - (-5 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*(-68)\/3. Let r = 20 + p. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 + 99*f - 21*f - 1 in the form x + r*f and give r.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -448.59?\nAnswer: -448.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33643264 divided by 8410816.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 11. Calculate t(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2420, 10760, 25036, 45248, 71396?\n\"Answer: 2968*m**2 - 564*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 13) to base 4.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 25*k**2 - 5*k - 5. Let a(u) = 63*u**2 - 12*u - 12. Calculate 5*a(q) - 12*j(q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 548, 577, 606?\n\"Answer: 29*j + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32826\/61 at most as big as 538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z. Let h(g) = -6*g. Let c(s) = 3*a(s) - 4*h(s). Let u be c(-1). Let m = 14 + u. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v**3 + 173*v**2 - 472*v + 89. Give i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 22*q. Let l be 6\/10 - 2\/(20\/86). Let r(s) = 3*s**2 - 8*s + 8. Let f(a) = a**2 - 3*a + 3. Let d(t) = l*f(t) + 3*r(t). Calculate d(y(o)).\nAnswer: 9*o**4 - 132*o**3 + 484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83722, -2, 17 in decreasing order.\nAnswer: 17, -2, -83722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1495?\nAnswer: -747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*f - 207*f - 21 - 1246*f**2 + 22 to c*f**2 + n + g*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/(-2) + (-2)\/(12\/(-66)) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2)*(-4)\/5. What is the common denominator of 87\/8 and 903\/30 - z\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -1\/15*z**4 + 4\/5*z**2 - 12*z + 0 + 2\/15*z**3. Factor l(c).\nAnswer: -4*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 618097?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -w + 3, 0*u = -4*u - 4*w + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -0. Suppose -k*y - 2*u = -30, -5*y - u = -y - 25. Let d(f) = 2*f**2 - 4*f + 2. Calculate the remainder when y is divided by d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(891)*-3 + (sqrt(22)*-1)\/sqrt(2) + 5)**2.\nAnswer: -550*sqrt(11) + 33300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = 108*l - 113*l + 22, 0 = -5*l - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6 + 8 = 3*d, -5*d + 6 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280220.\nAnswer: 2, 5, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 20*d**2 + 32*d + 243. Give x(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 3*c**2 - 9*c + 2. Calculate l(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57216, 75571, 93924, 112275, 130624?\nAnswer: 148971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29619 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 423354 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {v: 1, k: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766749213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + 2*f + 12 - 3 - 14. Suppose -4*t + 5 = -23. Let v(g) = 13*g**2 - 7*g + 16. Give t*m(x) + 2*v(x).\nAnswer: -2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1073 divide 222795619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2445 - 1546. List the prime factors of j.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54860984 is divided by 74.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5 + 87*a**4 + 537*a**3 - 87*a**2 - 540*a = 0.\nAnswer: -20, -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from lfjlv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - w - 11 = 0, -3*n + 4*w = -0*n - 19. Let p = -726 + 726. Sort -3, n, p, 1 in decreasing order.\nAnswer: n, 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305 - 103. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.08, -24?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11729 and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -491*g + 490*g. What is the highest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 18*o - 416. Let v be n(-55). Suppose 72*j + 2*w + v = 76*j, -4*j + 4644 = 3*w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**4\/4 - 10*f**3\/3 + 5*f**2 - 12*f + 3. Let v be w(9). Is (111\/v)\/(2\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aac37 (base 13) in base 8?\nAnswer: -1134626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 2:02 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4443910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 17*y - 21. Suppose -5*p + 4*p = -14. Let c be u(p). Suppose z + 4*k = c, 49 = 4*z + 4*k - 11. Is 14 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310652922 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*4*(-4)\/(-32). Which is the closest to y? (a) -2 (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 - 5*v**4 + 8*v**4 + (1 - 3 + 1)*(0*v**4 + 4*v**4 - 3*v**4) + 107600 - 107600 + 257*v**4.\nAnswer: 265*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 85, 1, 31, -28 in ascending order.\nAnswer: -28, -5, -2, 1, 31, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8*3)\/((-113)\/1356).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 3:45 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*b + 112*b + 97*b - 2*b**2 + 29)*(-7*b**2 + 4*b**2 + 2*b**2).\nAnswer: 2*b**4 - 33*b**3 - 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 551565*f**3*v**2 + f**3*v - 13*f**3 - 28*f*v + 15*f + v wrt v.\nAnswer: 1103130*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2764 - -210506?\nAnswer: 213472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1280775235 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -569?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {d: 2, q: 1, p: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - 2*r**3 + r**3 + (-r + 6*r - 3*r)*(2*r - r + 3*r**2 + r).\nAnswer: 5*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -38 in descending order.\nAnswer: 5, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 57*o**2 - 4*o - 248. What is the thousands digit of m(32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v**5 + 0*v**6 + 0*v + 0 + 1\/4*v**4 - 6*v**2 - 1\/84*v**8 + 0*v**3 + 0*v**7. Find the second derivative of c(d) wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/1020 and 13\/113688?\nAnswer: 9663480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93 or -1022\/11?\nAnswer: -1022\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let v(u) = 8*u + 1. Let a = 84 + -81. Let p(n) = -n - 1. Let j(z) = a*v(z) + 3*p(z). Calculate k(j(m)).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 + 16*l - 5. Let y be f(5). What is the common denominator of -80\/21 and 154\/105*(y - (-65)\/(-16))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3680, -7317, -10954, -14591, -18228?\nAnswer: -21865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17002.16941 to the nearest integer.\nAnswer: 17002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199956 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/12 - 8*o**3\/3 + 5*o**2\/2 + 14*o. Let q be u(16). Solve -2*t - q + 15 = 0, t = -2*w - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 - 3*l**2 - 3*l + 46. Let x(h) = -h**2 - h + 1. Calculate f(b) - 3*x(b).\nAnswer: -2*b**3 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 478dd + -6?\nAnswer: 478d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-12) + (-1 + -11)*2\/3. Let a be (4\/(-6))\/((-16)\/(-21)). Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/9)\/u**(-3\/31) assuming u is positive.\nAnswer: u**(-35\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.91. Which is the closest to -2\/5? (a) s (b) 3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5965*z + 1162. What is the thousands digit of j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -9. Let h = y - 24. Solve 12 = 4*v - v - h*a, -3*a = -2*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from {l: 1, p: 3, d: 2, r: 1, k: 5}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -261880007 or -785640019\/3?\nAnswer: -785640019\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 103. What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673203 to the power of 1\/2, to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/30)\/(24\/(-15)))\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 times -8062\nAnswer: 29023.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -66 (b) -1 (c) 0.2 (d) 2\/9 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/60 + 2*f**5\/3 - 47*f**4\/12 - 68*f**3\/3 + 3288*f**2 + 1. Factor i(m).\nAnswer: -2*(m - 17)*(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 15\/(-45)*-72?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 - y + y**3 - 163 + 301 in the form p*y**3 + j + b*y**2 + r*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24339, 24338, 24337, 24336, 24335?\nAnswer: 24334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 32. Let i be (-40 + 8 - 5)\/((-2)\/j). Find the second derivative of -663*g + 684*g - 2 + 2 - i*g**2 wrt g.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27091 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t**2 + 0*t**2)*(17 + 90005*t - 11 - 6 - 77139*t).\nAnswer: 12866*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*v = 280*v + 284*v - 60 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -13\/10*h**5 - h + 82 + 0*h**4 + 0*h**2 + 0*h**3 - 1\/15*h**6. Suppose q(g) = 0. Calculate g.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62022332133 - 62022332133 + 21*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224682 and 6306.\nAnswer: 236140782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 5, k: 5, v: 1, m: 3}. Give prob of picking 1 v and 1 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.8382 - -0.1618. Is 0.8 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -292, -669, -1060, -1471, -1908, -2377?\n\"Answer: -q**3 - q**2 - 367*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1613528358 + -145215634703\/90. Let d = -107274\/5 + v. Let y = d - -149. Are y and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392\/327 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 236*k - 4. Let y(c) = 237*c - 3. Let b(u) = 4*x(u) - 5*y(u). Let t be b(-1). Suppose 0 = 3*g - 2*v - t, 0 = -2*g + 3*v + 71 + 84. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 3\/7 (b) -1\/8 (c) 13\/3 (d) -1\/3 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93*r**3 + 439 wrt r?\nAnswer: -279*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-84)*2*(-4)\/8.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -24*d - 228. Determine g(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*g - 5. Let s(n) = n**3 - 2*n**2 - n. Calculate s(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 25. Let f(c) = -c + 2. Give f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/20 and -121\/116950.\nAnswer: 233900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462564127 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145095012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjpx when four letters picked without replacement from jxhjjpa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:15 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20 + 44\/10. Let w = 1 + q. Suppose -8 = -3*r - 4*n, w*n + 4 = -1. Which is the biggest value? (a) r (b) 5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53043323 (base 6) to base 5\nAnswer: 343424403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*y + 206. Let w be -1 + 31 - (2 - 4). Let d = w - y. What is the remainder when 7 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*x = 11871, -2*z + 7202 = x - 4649. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 4, -4, -5 in decreasing order.\nAnswer: 4, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222117525?\nAnswer: 5, 19, 673, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -715, -2732, -6057, -10690?\n\"Answer: -654*c**2 - 55*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ppeeppeppppppepppepp?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-28)*(1\/3)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157662 and 108796.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23983 or 23981?\nAnswer: 23983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 12 (b) -1.368 (c) -4\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/7 and (18\/16)\/(2\/4*2096\/32).\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 787.1 - 824. Let g = d - -33.9. What is the third biggest value in g, 31, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f = 7*f + 289*f - 17136 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l**(-2\/15)*l*(l\/l**(-1)*l)\/(l\/(l**(-20)\/l)) assuming l is positive.\nAnswer: l**(-452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(112)*-5 + 4.\nAnswer: -60*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.009 - 0.009. Let o = 29.02 - c. Let n = o + 0.08. Sort n, -3, 2\/5 in descending order.\nAnswer: 2\/5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n**2. Let b = 10 - 5. Suppose -2*f - 14 = -3*y, 2*y + b*f + 6 = -10. Let o(s) = 7*s**y - 4*s**2 - 4*s**2. Calculate t(o(v)).\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-34) - 38\/323. Let z(n) be the third derivative of v*n + 1\/2*n**3 + n**2 + 0 + 1\/24*n**4. Determine z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2529*i + 308314 = -124883 + 106956 for i.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*b**4 - 47313*b**2*z - 2*b*z**3 - 18281613*z**3 wrt b.\nAnswer: 284*b**3 - 94626*b*z - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 290 - 324 = 0. Suppose 7*u = 6*u + m. List the prime factors of u.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -y + 3*x + 63, 108 = y - 5*x. Suppose -1169*g + 1170*g = y. List the prime factors of g.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*a + 13592*a**2 + 44*a + 16*a to the form m + d*a + u*a**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -37 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - -291. Suppose -7*y + r = -2*y. Suppose 4*l - 68 = -2*x, -5*x + 3*l + 45 = -y. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 5 (b) 554\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/21*1 + 6\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 10. Let r(c) = 12*c - 1. Calculate -3*m(g) - 2*r(g).\nAnswer: 6*g - 28","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 466 - 106 = 0. Let x = -392 + 213. Let g = r - x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**1)*s**(2\/13))\/(((s*s\/(s\/(s\/s**3*s*s)))\/s)\/(s**(2\/25)\/s)))\/((s\/((s**(1\/4)\/s*s)\/s*s*s)*s*s)\/s**(1\/4))**(-8) assuming s is positive.\nAnswer: s**(3326\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 500192\nAnswer: -1\/8932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8\/z*z**(2\/5)*(z**0)**(-5\/7))**(6\/7))**(-8) assuming z is positive.\nAnswer: z**(-1776\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/40250752 and -55\/26368?\nAnswer: 80501504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.1. Let z = -0.44 + 0.14. Is z < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 558 + -482. Calculate the remainder when 146 is divided by w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63883, 127812, 191741?\n\"Answer: 63929*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 3:03 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -5. Calculate the remainder when u*((-21)\/6 + 0) is divided by (-2)\/(-2) + -1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -746093 * -0.014\nAnswer: 10445.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -22, -26, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*o + 2 = o, -5*o = 3*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 857*g - 818*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c**2 - c + 4*c**2)*(-119*c + 229*c - 22 - 119*c).\nAnswer: -63*c**3 - 145*c**2 + 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11736 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -0.1 (b) -1.146 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35047 divided by 347?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69730515541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/100326 - 440323\/334420. Calculate the common denominator of q and -33\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 183, 442, 951, 1794, 3055, 4818, 7167?\nAnswer: 10186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*j - 22895 = -404*j - 1867 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*b - 28, -3*j - 10 = 5*b - b. Let o = 19 - j. Solve 3*p = 5*y - o, 4*p - 3*y + 14 = -5*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -0.0579, 4, 1\/3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.2579 (b) 3\/40 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t)\/t**(7\/3))**38\/(t**(2\/3)\/((t\/t**(-1\/9))\/t))**(3\/4) assuming t is positive.\nAnswer: t**(-3349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*k - 4*k + 81. Sort -2\/9, -3\/7, -39, 0.2, k in descending order.\nAnswer: k, 0.2, -2\/9, -3\/7, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p - 9. Suppose -p*k + 48 = 2*k. Solve 4*w - 8*w + k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 - w**3\/2 - 7*w**2\/2 - 3*w. What is the tens digit of v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 - 152 + 12*s - 9*s)*(3*s**3 - 2*s**3 + 2*s**3).\nAnswer: 9*s**4 - 51*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/2 - 6\/((-24)\/(-20)). Suppose -z + i = 17. Which is the closest to -0.1? (a) -0.8 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 3322911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121233 + 0 - (-313 + 289) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:09 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**3 + 21*u**2 - 11*u + 7. Let d(g) = 3*g**3 + 14*g**2 - 7*g + 5. Let n(s) = -5*c(s) + 8*d(s). Let x = 530 + -210. Let a = 327 - x. Determine n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*2\/4 + 1. Let a be -1*1\/d*53. Suppose -277 + a = -4*y. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 12 - 9. Let w(d) = 3*d**2 + 5*d - 6. Is w(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -1\/169, 6, -4, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 10*h + 1734. What is c(47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -31, 2.482056?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.00108 + -0.16892. What is the nearest to f in 0.2, -19\/8, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566346 is divided by 293.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3536938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -7659646 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-30)*1*-5. Let k be (3\/u + 8)*-1. Let p(q) = -6*q - 7. Is p(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 614, 940?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.012 (b) -2\/3 (c) -1.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3034 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, e: 3, c: 8, x: 3, y: 1}. What is prob of picking 1 x and 2 c?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 22. Let d(h) = h**3 - 3*h**2 + 4*h - 3. Let i be d(f). Let v(g) = 1 + 13*g - i - g. Let n(j) = 2*j. Calculate v(n(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -3. Let n = 1.25 - 1.35. Are i and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -38. Let p be (-3 + 7 + a)*-5. Suppose h = 6*h - p. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - (-24)\/(-15). Calculate the common denominator of u\/5 - (-1671)\/90 and (1 + 4308\/(-4836) - (-1)\/(-13))*-33.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41455 at least as big as 0.132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = w - 421, w - 3*w + 860 = -3*k. Suppose p = -3*d - w, 5*d + p + 599 = -110. Let f = d + 290. List the prime factors of f.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 58026*q**3 + 421311790*q**2 - 6302222334*q - 31953592152 = 0 for q.\nAnswer: -4, 19, 14499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*i - 76*i - 6399 = -208*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233648 is divided by 878.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65108288?\nAnswer: 2, 7, 19, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 7 (b) 426 (c) 6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3)\/(2\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 2*c + 3. Let o be (0 - -3)\/(-3) - -7. What is the remainder when 57 is divided by s(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**2 - 3*b**2 - 13*b**3 - 5*b**2 + (3*b + 0*b - 4*b)*(1 + b**2 + 1 - 2*b + 0).\nAnswer: -14*b**3 + 4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-4) + 0 - (-1060)\/1060)\/((-2)\/184).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.046 - -0.03. Let n = v + -3.984. Which is the nearest to -0.08? (a) 5 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = r + 4*r - 10, -4*r - 13 = -p. What is the second derivative of 4*k + k**5 - p*k + 0*k wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as -338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30634 and 50864?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27830, 27846, 27850, 27836, 27798, 27730, 27626?\n\"Answer: -y**3 + 23*y + 27808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3130 and -0.166.\nAnswer: 519.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 293653813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p. Let a be f(4). Suppose -5*t + a = -t. Suppose v - 151 = -5*h, -t*h + 190 = -2*v + 42. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 u when three letters picked without replacement from ktjeetktkjkukktuej.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, -5, 23 in ascending order.\nAnswer: -5, -3, 23, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -45. Let l = p + 15.6. Let i = -363\/4 - -90. Which is the second biggest value? (a) i (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211869 + c - 211869.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvggaccvvavvgqvvva. Give prob of sequence agg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 760 + 677. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**4\/24 - a**3\/3 + 2*a**2. Let s be j(3). Suppose -4*q + 44 = -5*g, -q - 5*g = -10 - s. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23152.34 nanoseconds in seconds?\nAnswer: 0.00002315234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2, 0.3, -80, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 1708?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -10 + 8 - 2 - -18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a746 (base 14) in base 5?\nAnswer: 24032304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:29 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 17348 = 14789 + 4648. What are the prime factors of p?\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*l**3 - 53*l**3 + 103*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 + u - 28. Let q be n(0). Let i be 4\/12*(2 - -175). Let g = q + i. Solve 2*y - 4 = -b, -5*b - g = -2*y - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/228123 and -1\/2965599.\nAnswer: 2965599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/18*2 + 38\/171.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/1232 and -99\/14.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/89519 and 13\/7.\nAnswer: 626633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**3 + 23. Let d(h) = 2*h. Calculate d(l(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366788 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 5*i**3\/6 + i. Let a be ((-2)\/5)\/((-4)\/20). What are the prime factors of v(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 7. Let y be i(10). Let t(d) = -d**3 + 4*d**2 - 2*d + 2. Let z be t(y). Solve -3*m - 2*s = -4, 2*m + z = 7*m + 5*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 3*l - 3. Let x be u(5). Suppose x*q - 31 = -3. Suppose 2*y - 12 - q = 0. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24914416*v**4 - 2*v + 335639 wrt v.\nAnswer: -298972992*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 + 2*d**3 + 0*d**2 - 3*d**3 + 79 + 3*d**3 - 4*d**2 to k*d + c*d**2 + l + s*d**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*y, 6*y = y + 25. Let n(o) = o**3 + 5*o**2 + 4*o - 13. What are the prime factors of n(m)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 3. Let a(k) = 7*k + 3. Let o(i) = 5*a(i) + 6*q(i). Give o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 48?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*x**3 + 11*x**4 + 40*x**3)*(13 + 5 - 22 + 1 - 4 + 1 + (-3 - 1 + 3)*(0 + 2 - 6)).\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*q = -131 - 7, t - 5*q - 66 = 0. Let p be (-3 + t\/15)*5. Suppose p*f - i = 132 - 7, -f + 61 = i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 58. Solve 2*w = -4 - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(7425\/88))\/((-150)\/(-1000)*16).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1850 and 563510?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -993*v + 645 = -950*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**6\/21 - 8*k**5\/7 - 19*k**4\/14 - 10. Factor t(w).\nAnswer: -2*w**3*(w + 1)*(w + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*g*s**3 - g*s**2 - 711*g*s - 59*h*s**4 + 9*h wrt s.\nAnswer: 234*g - 1416*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - c + 11, 0*p + 5*c = 4*p + 7. Suppose 296 = p*n + 70. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/5 - 18*r\/5 + 8 = 0?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:35 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**6\/90 + 3*m**5\/4 - 43*m**4\/36 - 5*m**3\/2 + 22*m**2\/3 + 1834*m. Factor x(l).\nAnswer: -(l - 44)*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 21*s + 70 = 0. Find the first derivative of s*l**2 - 31*l**2 + 3*l**2 + 152 + 2*l**2 - 11*l**2 wrt l.\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 30 - 3. Let n = 23 + -12. What is the smallest common multiple of i and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 113248*j - 10975647.\nAnswer: -(j + 97)*(j + 113151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*4*28\/64.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106417, -106410, -106403?\n\"Answer: 7*m - 106424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55a (base 14) to base 7.\nAnswer: -3043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3\/s*s*s**(-1\/4))\/(s*s*s**(-2\/9)*s)**(2\/23))**14 assuming s is positive.\nAnswer: s**(14539\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -643624 or -643614?\nAnswer: -643624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*c*x**3 - 9512*c*x**2 - 1089154*x**3 with respect to c.\nAnswer: 100*x**3 - 9512*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 40099803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-60)\/(-20). What is the third biggest value in v, -1\/4, 4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1591.3 + -1591. Let g = -0.13 - -1.53. Let t = -0.4 + g. What is the closest to q in 0.3, t, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 160. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305829?\nAnswer: 7, 101, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {f: 7, o: 2, h: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:54 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00936193 to 4 dps.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -349 and -60412.\nAnswer: 21083788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 2.7. Let v = m + -4.3. Let p = v - 0.7. Is p at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68299 divided by -6.\nAnswer: 68299\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + u**3 + 5*u + 4 - 4*u. Let g be s(0). Suppose 3*w - 3*m - 2*m = 82, -2*m = g. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvjjvjjjjjvjjjjvjj. What is prob of sequence jjj?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-11 - 6\/(6\/(-7))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4897*l + 2928.\nAnswer: -4897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13980 + 13983. Let k(m) be the first derivative of 6*m - 31 - 4*m**2 + 5\/3*m**a. Let v(d) = d - 1. Give -k(z) - 6*v(z).\nAnswer: -5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 861871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u + 7. Let g be i(-3). Let v be -3 + (g - -3) + -3. Sort v, 1, -3.\nAnswer: v, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/3*(-1 - 2). Let w = -9 - l. Suppose -d - d + 134 = w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 1841760.\nAnswer: 1841760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 685, 1306, 2113, 3106, 4285?\nAnswer: 5650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-10)*(-8)\/(-3). Let s = 1 + f. Calculate the highest common factor of s and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.131838 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 25*x**2 + 2*x + 34. Let v be o(-25). Let s(i) = 9*i + 1. Let g be s(-2). Which is greater: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 752.445+0.1248\nAnswer: 752.5698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-5)\/(-80)*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 4*d**2 - 2*d**2 + 3*d**2. Let n(u) = -2*u. Calculate n(z(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2214371 and -83\/1029940?\nAnswer: 44287420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h + 8 = 30*h, 4*w = -4*h - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107449.294 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14848580 and 580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 464.5927 millennia?\nAnswer: 46459.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*v + v + 34, -3*q + 4*v = -29. Let m = q - 43. Is 4 a factor of (1 + -8)*m\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 + -1110010101?\nAnswer: -1101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735268328?\nAnswer: 2, 91908541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 391427312 a multiple of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -0.2, 90, -2 in increasing order.\nAnswer: -2, -0.2, 1\/10, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2263355, -2263306, -2263227, -2263118, -2262979, -2262810, -2262611?\n\"Answer: 15*a**2 + 4*a - 2263374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 - -104. Suppose 5*l + 4*i + 66 = 2101, 5*l - h*i - 1990 = 0. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/(-68 + 70). Which is greater: z or -191?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 6*h - 1. Let s be y(-7). Let w be 148\/(-10)*(-3)\/s. Suppose 5*i = -5*n - 183 + 208, i = -3*n + 3. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7.8, -1.19 in increasing order.\nAnswer: -7.8, -2, -1.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*y = 14, -3*j + 5*y + 28 = -0*y. Let p = -3 + 7. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 16, -l + 39 = 4*l + t. Suppose l = 3*y - 5. Suppose -y = -2*h + 2. Solve -h + 18 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 667 + -667 - (2 + -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/7, -0.4, 3, -2\/19, 5, 0.05899?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76143923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Suppose -30 = 10*m - 0. Let w be 13 - 314\/18 - (m + -1). What is the biggest value in j, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -26*y + 3*t, -3*t + 545 - 554 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351464797*d**3 + 345328745.\nAnswer: -1054394391*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d + 4. Give j(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 2.06. Let r = 1 + h. Let g(d) = 3*d**2 - 78*d - 817. Let k be g(34). Which is the closest to k? (a) r (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476654 is divided by 1347.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9\/(t\/(t*t**(1\/6)*t))*(t*t*t**17)\/t**(-7) assuming t is positive.\nAnswer: t**(217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15511, 123214, 415549, 984832, 1923379, 3323506, 5277529?\n\"Answer: 15386*a**3 + a + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + sqrt(1300) - (0 + sqrt(13) + 2)))**2.\nAnswer: -72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001034 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 2*x**2 - 2*x - 1. Let g(f) = -f**3 - 4*f**2 + 6*f - 13. Determine -g(d) - 2*y(d).\nAnswer: 3*d**3 - 2*d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 631 = 5*r, -3*f = 6*r - r - 607. Solve -83*k + r + 456 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*x + 25, 3*x - 12 = -3*h - 3. Let j(y) = 0 + 0 - h - y. Let o be j(-7). Is 2 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, 12, 61, 148, 285, 484, 757?\n\"Answer: 2*b**3 + b**2 + 6*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 6\/11, 5\/22, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 15099\nAnswer: -754.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(48) + 0 + -4 + -2 + sqrt(3) + 0 + -3)**2.\nAnswer: 60*sqrt(3) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/17 - 974154*n\/17 = 0 for n.\nAnswer: -487077, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57525635459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43008 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:17 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - ((-204)\/(-4))\/(-1). Suppose 0 = d - 182 + h. Suppose -4*m = -w + 42, -5*w - 3*m = 2*m - d. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 529409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 84 = 5*d - 7, j - d - 16 = 0. Let u = j + 376. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16426005300 to the nearest one million.\nAnswer: -16426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108))\/sqrt(9) + (sqrt(3) - (sqrt(3) + 2)*2) + sqrt(297)\/sqrt(11) + 0)**2 + 1.\nAnswer: 16*sqrt(3) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q = -44*q + 8. Suppose 0 = -q*a + 406 + 166. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1800094347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 254?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f**2. Let p(z) = -9*z + 19*z - 8*z. What is p(l(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, 1 b, and 1 t when four letters picked without replacement from bttatstbbatssasts?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10864 and 134636?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 - 9*u - 3. Let w(p) = -2*p**2 - 5*p - 2. Suppose 25 + 0 = 5*t. Let o(h) = t*w(h) - 3*g(h). Let s be o(2). Which is smaller: 2\/49 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36\/13? (a) -1\/36 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - 6\/4. Let g(x) = -x + 5. Let r be g(5). Let p be (-1 - r)\/(q\/2). Solve 0 = -4*d - 2*b + 24, -2*d - 3*d + p*b = -21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 21a6ca?\nAnswer: -21a6c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549882196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 6. Let h be c(4). Let i be (-1 - -1)\/((-2)\/(-1)). Let g be 2\/h*i\/(-3). Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27 rounded to two decimal places?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1644397.6 and 0.5.\nAnswer: 1644398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1099 - 1097. Let g be (-9)\/4*s + 47 + -41. Determine c, given that 4\/3*c - 1\/6*c**2 + g = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 5*o = 2*p + 27, -3*p = -5*o - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 9. Let y = 0.24 + -0.4. Let h = y + -4.84. Put h, 0.3, g in increasing order.\nAnswer: h, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324831769 - 324831769 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16ca5 - a6?\nAnswer: 16bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1316470 divided by -10.\nAnswer: 131647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*2\/4*115\/(66010\/(-492))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2776777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7955806 rounded to two dps?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/112 - s**7\/70 - s**6\/10 + s**5\/5 - 2*s**2 - 115. Solve o(j) = 0 for j.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -989\/2, 7 in decreasing order.\nAnswer: 7, -0.01, -989\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 906 and 6.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171909 is divided by 85260?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x**2 - 394*x + 87. Let g be t(-36). Solve -g = -328*k + 331*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5, 20*u = o + 25*u - 27. Let m = 23.11 + -23. Let r = 3.89 + m. Which is the smallest value? (a) o (b) r (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75 - -1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 14*n - 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/8 + 5*s**3\/6 + s**2 - 1. Factor m(w).\nAnswer: w*(w + 1)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37913173 rounded to three dps?\nAnswer: 0.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -4279, -14296, -33645, -65398, -112627, -178404, -265801?\nAnswer: -377890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (1 - 3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/7 + 2052597*s**2\/7 - 351039750477*s\/7 - 19313395881285\/7 = 0.\nAnswer: -55, 342127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 a factor of 7889612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 3203.5338?\nAnswer: -3203.5338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 23. Which is the closest to 2\/3? (a) z (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9440 by 262.\nAnswer: -4720\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4069*z**2. Let s(d) = 8*d**2. Determine s(v(b)).\nAnswer: 132454088*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87\/2*s - 42*s**3 - 15*s**4 - 3\/2*s**5 + 30 - 15*s**2 = 0. What is s?\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 1 - (44 + -44) - (-22 + 4 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -1509 - 4163. What are the prime factors of m?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 8661, -2\/5 in descending order.\nAnswer: 8661, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p + 96. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 9?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62115 months in decades?\nAnswer: 0.00517625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*x + 7, 5*v + 3*x = 3*v + 19. Let s be (-24)\/13*-1 - v. Let k = -3.1292 + -0.8708. Sort s, -0.3, k, -13.\nAnswer: -13, k, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.128.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -32*o**3 + 5*o**2 + 27*o + 69. Is b(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 108, -153 in descending order.\nAnswer: 108, -1, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (2 + sqrt(112) + sqrt(112) - sqrt(112)) + sqrt(175)*2)*2)**2.\nAnswer: 288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/4 - 5*l**3\/4 - 7*l**2\/4 + 5*l\/4 + 3\/2.\nAnswer: (l - 6)*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36071317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d + 5*d + 0*d)*(-4*d**3 + 5*d**3 - 4*d**3) in the form s*d**2 + m*d**4 + h*d + i*d**3 + j and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2336578845.54 - 2336579335.539998668. Let y = n + 490. Round y to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 3*p**3 - 18*p + 11*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-6)\/39))\/(1\/1)*126242\/(-34918)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 228*q**3 - 3480*q**2 + 11056*q - 10080.\nAnswer: 4*(q - 9)*(q - 2)**2*(q + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6901*f + 358199. What is m(52)?\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (31 - 26) + -1 + 1 - -220. Calculate the highest common factor of u and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.9 + 8.1. Let m = d - 40.7. Sort -2\/13, 0.5, m in ascending order.\nAnswer: -2\/13, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54177 or -54175?\nAnswer: -54175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1542b0 (base 13) to base 3.\nAnswer: -222120220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - f = -258, 0*f + 4*f - 352 = -4*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89*p + 40*p + 3*p + (-1 + 0 - 7)*(-3*p + 2*p + 0*p).\nAnswer: 140*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1139030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21798700.94 + -4827?\nAnswer: 21793873.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1749*q**2 + 6*q - 8. Let d(h) = -h. Let u be d(-2). Let w be ((-8 - u) + 2)*3\/(-6). Let a be p(w). What is a rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*x = 600 + 24, 0 = b - 4*x + 171. Is (-2)\/(-7) - b*(-3)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*n - 1951*n - 271 - 135 - 4003*n.\nAnswer: -6362*n - 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w - 55 = 46*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054868013 to the power of 1\/3, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 7*k**2 + 14*k - 13. Let d be a(5). Suppose d*r = 386*r. Solve r = 3*w + 3*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v - 5. Let l = 17 + -12. Let i be b(l). Let p = i + 6. Solve p = 3*c + 4*a, -3*c + 0*c = -4*a + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 + 156. Let i(v) = -8*v - 3. Let s(u) = 19*u + 11. Let p(n) = -5*i(n) - 2*s(n). What is p(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-27))\/(10\/12). Let i = 0.87 + 1.13. Which is the smallest value? (a) -0.2 (b) u (c) i (d) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -429*j*t**4 + 5173*j*t**3 - 4*j*t - 2454*t**2 - 39*t wrt t?\nAnswer: -10296*j*t + 31038*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7478 + -7358 + (3 - (3 - -3)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 764 + -768 + (-1 - -2) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23*b + 136. Give l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4*x - 31. Determine p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let n = 65.018 - 0.218. Let i = n + -65. Which is the closest to 0.1? (a) 0.5 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141064, -141060, -141054, -141046, -141036, -141024, -141010?\nAnswer: -140994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z - 3. Let k(d) = -d**3 - 7*d**2 + 9*d + 11. Let f be k(-8). Is 10 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.305252 rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 252 = -i, 9*y - 12*y - 2*i + 252 = 0. What is the greatest common factor of 1218 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0, -875 in descending order.\nAnswer: 0, -26, -875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 498176108*v**2 + 384634838.\nAnswer: 996352216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 841, 1099, 1511, 2125, 2989, 4151?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 18*h + 11. Suppose 0 = -47*v + 45*v + 34. Let a be u(v). Let k(l) = -l - 3. Let g be k(a). Let i(p) = -4*p + 4. Determine i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44057 - -44068. What is the closest to 0.1 in -148, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160.905 + 322\nAnswer: 482.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + o + 55. Let w(s) = -2798*s**2 - 4*s - 220. What is -4*i(r) - w(r)?\nAnswer: 2794*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let h(a) = a**3 + a. Let p(m) = 3*m**3 + 6*m**2 + 2*m - 2. Let b(n) = f*h(n) - p(n). Suppose 26*r + 15 = 23*r, 45 = 4*g - 5*r. What is b(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3)\/s**(-3))\/(s\/(s**0\/s))**(-29))\/(s*(s*s\/(s\/s**(-2\/11)))\/s*s**0)**(3\/28) assuming s is positive.\nAnswer: s**(56591\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894 is divided by 1734?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -179*s**3\/6 + 125*s**2 - 3*s - 3. Differentiate x(c) with respect to c.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-9)\/(-34)) + -4. Suppose -g*d + 1993 = -3497. What is the remainder when d is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Suppose 3*l - 3*m - 26 = -5*m, l + m - 9 = x. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-125)*-5 - (-21)\/(-40).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m + 2*m + 3*m**2 - 2. Let n(r) = 2*r**3 - 83*r**2 + 41*r - 4. Let p be n(41). Calculate c(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20517 - -82073\/4. Factor 0 + 5\/4*s**2 + 5\/4*s**3 - n*s - 5\/4*s**4.\nAnswer: -5*s*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let j(g) be the third derivative of g**4\/24 + 5*g**3\/6 - g**2. Let x be j(-5). Let o(l) = x*l - l + 3*l. Give o(c(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (207\/(-621))\/(34\/6). Let i(m) = m + 4. Let c be i(-4). Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 15, -o + 2*o + 11 = 4*a. Suppose 3*j = b + a*j - 15, -5*b - 4*j + 111 = 0. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, -0.086, -3\/2, -8 in decreasing order.\nAnswer: 0.5, 0.2, -0.086, -3\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*i - 5. Let r(a) = 3*a + 16. Let c(u) = -2*u - 11. Let t(h) = i*c(h) - 5*r(h). What is the units digit of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from bffbffbfflbffflbfbf?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**8\/56 - m**4\/24 - 10*m**2. What is the second derivative of y(b) wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from rncczczccccncczcnc.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 7*r - 6. Let j be k(-5). Suppose -j*f = -2*b, 4*f = 3*b - 2 - 2. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 225. What is the remainder when q is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1444*q**3 - 117446600*q**2 - 24725552*q - 1301344 = 0.\nAnswer: -81334, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3\/6 + 9*a**2\/2 - 4*a + 1. Let o(s) be the first derivative of c(s). What is o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 576\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 17346*a**4 + 37653798*a**3 + 187887550*a**2 + 112545312*a - 338104008 = 0. What is a?\nAnswer: -4334, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3308\/17941 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -ac9169 (base 14) to base 16\nAnswer: -597b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133 - 125 - (1 - -5 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 221 = -30*x. Let z be -6 - x\/(-4)*1*7. What is the highest common divisor of z and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 25 = -23. Let f = -6 + 3. Which is the nearest to o? (a) 4 (b) 0.02 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 187*t - 6. What are the prime factors of o(2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 0*k**3 + 4*k + 0 + 1\/30*k**6 - 3\/2*k**2 + 0*k**4 + 0*k**5. What is the first derivative of v(o) wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 1. Let n(y) = -3*y**4 + 8*y**2 - 7*y. Let o(l) = -3*d(l) + n(l). Find the second derivative of o(t) wrt t.\nAnswer: -36*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 3 + (-8 - 4) + (-17 - -16).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 154 in 1\/2193, 11, -1, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 2*w + 6 + 0*w + 2*w**2. Let n be v(-6). Suppose 6*t - t = n. Put 2\/3, 0.3, t in descending order.\nAnswer: t, 2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/((o**0*o)\/o)))**5*o**(-6)\/(o*o*o**(5\/6)) assuming o is positive.\nAnswer: o**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**7\/1260 + c**6\/540 - 10*c**3\/3 - 6. Let x(r) be the third derivative of h(r). Factor x(j).\nAnswer: -2*j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*(b*(b\/(b\/b**(3\/5)))\/b)\/b)\/(b**(3\/2)\/b**(-1\/2)) assuming b is positive.\nAnswer: b**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.2. Let w = o + -0.3. Let i be (-37)\/22 - 3\/(-2). Which is the third smallest value? (a) i (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**7\/2520 + y**6\/90 - y**5\/40 + 17*y**4\/12 - y**3\/2 + 56*y. Let v(u) be the third derivative of s(u). Calculate v(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89972820*l*p**2 + 1941*p**2 + 1018 wrt l.\nAnswer: -89972820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 173. Let l(h) = 23*h**2 + 2*h. Give l(i(q)).\nAnswer: 92*q**4 + 15920*q**2 + 688713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 3708686?\nAnswer: 33378174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 18 = 3*j, 2805 - 44 = -251*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2)\/(4\/(1 + -5)). What is the common denominator of 49\/8 and s + 3606\/624 - 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.93 - -15. Let x = 809.9322 + -810. Let n = k + x. What is n rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 + 640*z + 636 = 0. What is z?\nAnswer: -159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 - 24*x + 6*x**2 + 11*x + 13*x + 13*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 361?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29.78, 23, -2\/5, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/19182 and -71\/3336.\nAnswer: 76728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 340 = 19*i + 5*i. Solve -18*t = -i*t + 2*d - 5, 5*t + 25 = 4*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(4 - (-22)\/(-5) - (-6)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Suppose 0 = 5*z - 67 - 208. Calculate the highest common divisor of z and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 5. Let h be r(4). Let k = h + 11. What is the highest common divisor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + (16 - 5)*1079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/3 + 2*t\/3 + 21 = 0. Calculate t.\nAnswer: -7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Let y(b) = -b**2 + b - 1. Let j(n) = -n**2 + 33. Let z(d) = -j(d) - y(d). Let k(a) be the first derivative of z(a). Give k(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 - s**4\/24 + s**3\/6 - 3*s**2. Suppose 5*d - 4*d = -2*k, 5*k + 7 = d. Let l be (-1)\/3*6*(0 + k). Calculate g(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 13182102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 4 (c) 319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.4 (b) -19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 448206*u**2 + u + 448205*u**2 + 42.\nAnswer: -u**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 9. Let m(u) be the first derivative of 0*u**z - 1\/2*u**2 - 1 + 0*u - 1\/4*u**4. Find the second derivative of m(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 773, 2654, 6319, 12362, 21377, 33958?\nAnswer: 50699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -19955 (c) -737 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6135\/8 - -767. Factor 0 + 1\/4*l - 1\/8*l**3 + z*l**2.\nAnswer: -l*(l - 2)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487475083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 18. Let g be r(-10). What is the smallest value in 2, g, -1\/10, 31?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -32, 0.55, 2?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 0 - (-312)\/8. Suppose -5*q = 3*o - t, -q + 2 = q + 4*o. Let d = 21 - q. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 47*j + 26. Let k be w(-23). Suppose k*p = 1525 - 166. What are the prime factors of p?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggf when four letters picked without replacement from {f: 3, g: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*k + 295*k - 1292*k + 5 + 496*k.\nAnswer: -5*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2\/19 (b) 9 (c) 0 (d) 7\/6 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4*1 + 221\/52)*532. Let p be 57\/q - (-1 + (-328)\/(-14)). Sort p, -5, 4 in ascending order.\nAnswer: p, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t - 3. Let u(r) = -r + 1. Let p(y) = f(y) + 5*u(y). Suppose 4*j + 5*i - 33 = 0, i = 2*j - 5*j + 11. Let a be p(j). Solve -z + a*z = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkaghhxxkxk. Give prob of sequence ghx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 8. Let i = -1 - o. Sort -2, -4, i in descending order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44833 from 20390.\nAnswer: -24443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by -3*(-3)\/(-3)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.92 rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 175\/21 + 4\/6. What is the highest common factor of t and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -8. Suppose 0 = -2*i - 3*i - s. Let l be i*(1*-2)\/2. Solve l*o = -3*d + 5*o + 14, -6 = -d + o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 38. Suppose 5*a + 15 - 7 = -2*i, -2*i = 3*a + 8. What is j(a)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1*(-1)\/(-6))*111\/333.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -10426?\nAnswer: 10432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -383, -1094, -2093, -3380?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -0.52 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**4\/3 - 154*v**3\/3 + 290*v**2\/3 - 86*v\/3 - 14 = 0?\nAnswer: -21, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1956 (b) -37\/2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = 3*z - 23, -4*z = -5*k + 46. Let c(t) = 5*t**3 - 6*t**2 - 2*t + 19. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871121 is divided by 28350?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -8. Let h(o) = 7*o**2 + 3*o. Let n(s) = 8*s**2 + 3*s. Let v(b) = x*h(b) + 6*n(b). Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 30\/(-15))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 55011*n.\nAnswer: 55011*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/273)\/((-12)\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Is 7 a factor of (-49 - -3)\/(-2 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -9*d - 6240. Round d to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6973, 13994, 21015, 28036, 35057?\n\"Answer: 7021*k - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 247900335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -185, -189, -193, -197, -201?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 26*k**2 - 15*k + 1. Let m = 368 + -370. Let c be d(m). What is the highest common divisor of c and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*g = 67*g + 5*d - 264, 2*g - 138 = 3*d. Solve -63*n - 48 = g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/10*-1*-2. Let y(o) = -o**3 + 3*o**2 + 4*o. Let z be y(4). Let p be ((-1)\/15)\/(((-130)\/(-60))\/(-13)). What is the nearest to p in w, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-6 - (0 + -1)). Let s be 9\/l*1*-1. Find j, given that 2*j**s + 4*j**2 + 0*j**2 - 2*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lssz when four letters picked without replacement from kssszlsyy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1042812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.106 + 5.106. What is the nearest to d in -0.2, -4.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 11289*i\/2 + 127441521\/4.\nAnswer: (i + 11289)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, y: 1, w: 1, e: 2, j: 1}. Give prob of picking 1 j and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12090.\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 28.51577?\nAnswer: -26.51577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 - 1988?\nAnswer: -1a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 = 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -570*r**3 + 144*r**3 - 24*r**3 + (2*r**2 - 2*r**2 - 2*r**2)*(-5*r + 0*r + 2*r).\nAnswer: -444*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1697*t + 1757*t - 660 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2493 + 2485.246. Let u = b - -7.5. Round u to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*x + 375*x - 8*x**2 - 756*x + 2.\nAnswer: -8*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**4 - 19*x**3 + 19*x**3)*(-2*x - x - 2*x + (4*x - 19*x + 5*x)*(-1 + 1 - 1)).\nAnswer: 30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.660792 millilitres in litres?\nAnswer: 0.004660792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21233213 to the power of 1\/2, to the nearest integer?\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4\/3 (c) -0.3 (d) -32 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1128 + 1133.01. Let j = 0.01 - a. Put -3\/5, -1\/4, j in descending order.\nAnswer: -1\/4, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*m + 197*m + 20 = -3*v, -16*v - 3*m - 76 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m**(-16) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*1*(-2)\/10*(-100)\/(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -28, -93, -212, -403, -684?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (4 - 6 - 7 - (-1 - -7)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(99)*-4*2)\/((sqrt(900) - 2*sqrt(900) - sqrt(900)) + (1*sqrt(27))\/sqrt(3)).\nAnswer: 40*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b = 28 - 109 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 4. Let w be 4*j\/(-2)*-4. What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*k + 37*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*n**4 + 7*n**4 - 51 + 0*n**4 - 16*n**4 + 13*n + 3*n**4 with respect to n.\nAnswer: 8*n**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 5*(sqrt(77)*1 - sqrt(77)) + sqrt(77) - sqrt(77)*1*3)\/(3*sqrt(448)*1).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -55. Let o = v - 28. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2047682750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6995693*n - 14116018.\nAnswer: -6995693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-80)\/(-4)*216\/(-17820)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-12)\/22 + -1. Let b be (105\/(-14))\/5*(-2)\/12. Put b, x, 2 in ascending order.\nAnswer: x, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 274*a*c**3 - 15256*a + 753*c**4 with respect to c.\nAnswer: 822*a*c**2 + 3012*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 - 536*y**4 - 37476*y**3 - 208528*y**2 - 165322*y + 411864 = 0.\nAnswer: -131, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 5601?\nAnswer: -5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**10\/4320 + j**6\/80 - j**4\/4 + 5*j. Let l(g) be the third derivative of m(g). What is the second derivative of l(t) wrt t?\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -24*d**3 + 4*d**2 - 35*d - 10. Let v be m(-4). Calculate the highest common divisor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3*(4 - 1). Let i = -4.42 + -0.48. Let w = i + 5.3. What is the nearest to z in 1, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1390758 - 680087 + 1815573 - 2*m.\nAnswer: -2*m + 2526244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120032 and 27544.\nAnswer: 37570016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.055 + -4.945. Let g = -30 + 9. Let p = -23 - g. Which is the second smallest value? (a) n (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (13 - 5) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*t**3 - 44\/13*t + 0 + 2*t**2 = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372193650 divided by -3\nAnswer: -124064550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45943, 45927, 45893, 45841, 45771?\nAnswer: 45683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19196 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/7 + 6759*x\/7 - 809514\/7 = 0 for x.\nAnswer: -2367, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 + 9326*d**2 + 390369*d + 4094244 = 0. What is d?\nAnswer: -9284, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/3, 47.9, 3980?\nAnswer: 47.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*b**4 + 54*b**2 + 0*b**4 + 23*b**3 + 53*b**2 - 105*b**2 to m*b + i*b**3 + d*b**4 + t + j*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.98 and 2?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glllllgggglkgkg. Give prob of picking 1 g and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4098 + -2142. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0236188 rounded to 4 dps?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 73. Let n = z + -44. Suppose n*t + 1 = -13. Which is bigger: t or -20\/11?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 23*c**2 - 23*c + 42. Let i be z(22). Solve 3*x + i = 8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*10*(-6)\/12. Solve -h*l + 8 = -9*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/n**15)\/n)\/n)\/(n**(33\/4)*n))**(-11))**(-34) assuming n is positive.\nAnswer: n**(-18887\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:45 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52\/21 in 4, -5, -0.3, -1.397?\nAnswer: -1.397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5624*v - 1592. Let d(m) = 5574*m + 1591. Let n(k) = 7*d(k) + 6*r(k). Differentiate n(u) wrt u.\nAnswer: 5274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110))\/sqrt(11))\/sqrt(2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292910091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 5*j. Let o(g) = -2*g**2 + 11*g + 1. Let u(d) = -5*m(d) - 2*o(d). Factor u(i).\nAnswer: -(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028744943 to 7 dps.\nAnswer: 0.0002874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/4 - (-24)\/(-32). Let u(c) = 2*c**3 - 8*c**2 + 12*c + 3. Let p be u(3). Let b be (-319)\/(-182) + 6\/p - 2. Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = w + 8, -5*l = -4*l - 2. Let a(f) = -f**3 + 39*f**2 + 80*f + 231. Let i be a(41). Suppose -i = -w*j - 69. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 - 17*o**2 - 2*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -27. Let f = -51 - h. Let j = 27 + f. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*h + 100 = 0, 2*x - 39 = 4*x + h. Let l = 12 + x. Let u(s) = s**2 + 7*s + 4. Let o be u(l). Solve -2*b + o*v - 16 = 0, 0*v - 9 = 3*b - 3*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4)\/((-66)\/(-22)). Let n be -41 - -41 - (d + -2 + -22). Put 4, n, -4 in decreasing order.\nAnswer: n, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212835718 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {r: 7, g: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 0 + (-108 - (-26 + -67)) + (0 - -9).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -424 - 1432001?\nAnswer: -1432425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 487 + -481. What is the highest common factor of n and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 4:34 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c. Let t(s) be the first derivative of s**3 - 3*s**2 - 2*s + 491. Let b = 3 - 2. What is b*t(j) + 4*d(j)?\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*t + 869 - 213*t - 869 - 218*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414483 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/739752 and 47\/5370.\nAnswer: 662078040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y + 2. Suppose -4*p = b - 25, 5*b = 2*p - 3*p + 30. Let q be 1\/(0 + (3\/(-1))\/(-12)). Suppose -j = -q*n + 6, 0 = j - 0*j - p*n + 8. Give z(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1801997599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 3*q)*(-26 + 5 + 3).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 7*c**2 - 3*c + 4. Let o be g(-7). Suppose 5*z + o = 5*u - 50, u - 5 = -4*z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -27\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - 5*k**2 - k - 2. Let q(d) = -5*d**3 + 6*d**2 + d + 2. Let h(v) = 6*q(v) + 7*y(v). Let c be h(-1). Solve 4*a = c - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*11\/((-363)\/(-12))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 13*z\/4 - 3\/2.\nAnswer: -(z - 6)*(2*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) -4.2 (d) -0.1 (e) 5\/3 (f) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = 2*p, 3*p - 5*p - 33 = -5*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 4*t - 1. Let n(j) = -j**2 + 3*j - 2. Let y(q) = -119*q + 591. Let u be y(5). What is u*n(a) + 3*c(a)?\nAnswer: -2*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 + 211. Let v = 122 - a. Let d = -7 + 19. What is the highest common factor of v and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 9*o**2 - 10*o + 3. Let b be p(-10). Suppose -3*s + s = 2*v - 26, 0 = s + b. Let k be (12\/(-10))\/((-6)\/80). Is k > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -76, -7, 4, -113, -0.1?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from hqqhgqgggqq.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {h: 8, s: 3, p: 5}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5011351 at least -5011351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 29*k**7\/210 - k**4\/12 - 922*k**3\/3 + 467*k**2. Differentiate s(t) with respect to t.\nAnswer: 116*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13122*k + 4477 = -12965*k - 1175 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -115. Let w be (x\/24)\/((-8)\/(-6))*-20. List the prime factors of (15 - 0)*4\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449 - 35. Let s = u + -413.9. What is the nearest to s in -0.1, 0.02, -2\/9, 1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + c - 17, 2*b + 2*c - 10 = -0*b. Solve 3*d + b = -11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w + 8. Let h(l) = 8*l - 5. Let i(m) = -8*h(m) - 5*q(m). What is i(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-515)\/65 - -8) + (-75)\/(-39). Factor 16\/3 - 2\/3*h**3 - 8*h + 4*h**a.\nAnswer: -2*(h - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*l - 343*l + 503*l + 738*l.\nAnswer: 1258*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(54) - 1*sqrt(48).\nAnswer: -11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {h: 3, e: 11, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1045 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10*1\/44)\/((-8)\/10).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*f - 1235700 = -1216712 for f.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8449, 9025, 9977, 11299, 12985, 15029, 17425?\n\"Answer: -i**3 + 194*i**2 + i + 8255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712 divided by 8.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 125?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -83 - 0\/(-3 - -7). What is the third smallest value in -3\/8, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 0.38 (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23115*v + 11 = 23104*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10208879 and 2.\nAnswer: -20417758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 313178*h**4\/5 - 144*h**3\/5 - 3758136*h**2\/5 + 5012576*h\/5 - 2304\/5 = 0?\nAnswer: -4, 72\/156589, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(33\/18)*54\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j - 4*z = -485, 0 = 3*j + 4*z - 299. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3*m - 19 + 6 as o + b*m and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2551 times 13.7\nAnswer: -3.49487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 11:49 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 7*g**2 - 1\/15*g**5 + 0*g + 0*g**4 + 0*g**3 + 0. Let i(l) = 7*l. Give i(z(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 254, 683, 1484, 2783?\nAnswer: 4706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -35113125152?\nAnswer: 35113125144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2885516, -5770990, -8656462, -11541932, -14427400?\nAnswer: -17312866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in 2\/15, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 58 - (0 + -11 - 1) - (-163 - -71)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 - -180. Let s be (1 - 9)*60\/8. Let w = s - j. Solve p + w = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -10. Let s be 16\/2*5\/d. Let v(p) = 0 - 2 + p**3 - 1 - p - 4*p**2. Determine v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -419 + 419.0296. Let z = h - 1.0296. Which is the biggest value? (a) 1\/4 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 132?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1189 + -553. Suppose -4235 = k*x - 643*x. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/10 (b) -5 (c) -280546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/5 + 150022*j\/5 + 5626650121\/5 = 0.\nAnswer: -75011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29106 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3603*c**3*k**4 - 16*c**3 - c**2*k**4 + 154 wrt k.\nAnswer: 14412*c**3*k**3 - 4*c**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**4 + 6*c**3 + 3*c. Let j = 0 - 15. Let v(z) = z**4 - z**3 + z**2. Let n(t) = j*v(t) + s(t). Factor n(q).\nAnswer: -3*q*(q - 1)**2*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173042?\nAnswer: 2, 31, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z**2. Let k be d(-1). Suppose -9*t + 324 = -5*t. Let l = t + -41. What is the greatest common divisor of l and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1158614\/7 or -165516?\nAnswer: -1158614\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.199 and -0.5.\nAnswer: 0.0995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**13*h*h**(-2))**(-50)*(h\/(h**(4\/7)*h)*h**9)\/(h**4\/h**(5\/6)) assuming h is positive.\nAnswer: h**(-31279\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10446 = -7*l + 4142. What are the prime factors of l?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(7) - (sqrt(7) - sqrt(7)*2 - sqrt(7)))*3)\/(-1*(sqrt(2) - (sqrt(72) - -2*sqrt(72)))))**2.\nAnswer: 5\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167056*b + 82933*b + 83106*b.\nAnswer: -1017*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 + 11*s + 2. What is x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 40 = -82. Solve -5*w - 3*t + 2*t = 5, -4 = 4*w - h*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10411*m**3 + 2*m**2 + 2*m - 110912?\nAnswer: 31233*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/3)\/(z**(-24\/7)\/z)*(z**(6\/13)*z*z)**(-5\/8))**42 assuming z is positive.\nAnswer: z**(668\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7417c (base 13) in base 3?\nAnswer: 101121200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307*a**2 + 3612 + 788*a**2 - 10837 + 3608 + 3613 + 2*a**3 to g + t*a + s*a**2 + w*a**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/176085 and -47\/1547.\nAnswer: 2993445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.4525 and 24.\nAnswer: -82.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**4\/24 + 3*a**3\/2 - 11*a**2. Calculate the smallest common multiple of 10 and p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 180\/2107099?\nAnswer: 180\/2107099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606136?\nAnswer: 2, 75767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2774 divided by 73.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2 = -4*n, -5 = -13*n + 14*n + 3*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r + 5*r**3 + 8*r + (-110*r**2 - 418*r + 418*r)*(0*r + 0*r - 2*r).\nAnswer: 225*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = q - 29, 1 = 2*f + 9. Suppose 0 = -37*w + q*w - 132. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88811, 88750, 88689?\n\"Answer: -61*s + 88872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 7*b + 3*b + 5*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 29 = -5*s. Let k(x) = 4*x**2 + 4*x - 1. Let r be k(6). Let z = r - 97. Calculate the highest common factor of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.2051028 rounded to 3 dps?\nAnswer: 42.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30828341.01644 + -30827842. Let a = 499 - b. What is a rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 30*v**2 - 48*v - 12. Let i = 26 + 2. List the prime factors of b(i).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3500 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 94. Solve -2*n = 3*g - a*g - 12, -g = -n + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/360 and -41\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n**(-2)*n)\/n)\/n)**(-31)*(n\/n**(-2))**(-29))\/(n**(-2\/5)*n**(-2\/25)*n)**(1\/5) assuming n is positive.\nAnswer: n**(-7013\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-12)*2\/(-40)*-4. Let h = -3 - -7. What is the third biggest value in h, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -756 - -755.7. Which is the closest to 3? (a) -3 (b) -91 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 92 (b) -1\/69702 (c) -2\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9235, -18475, -27715, -36955?\n\"Answer: -9240*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39613.\nAnswer: 7, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 42 = 5*a. Let g(q) = -13*q**2 + 1. Let d be g(1). Let i = d - a. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, w: 4, s: 2, m: 7}. Give prob of picking 1 p and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -837*z**2 + 7*z + 6228 wrt z.\nAnswer: -1674*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 331, 49, 85 in decreasing order.\nAnswer: 331, 85, 49, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 25749*j**3 - j**2 + 2*j. Let r be o(-2). What is r rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29527 - 29527.055878. What is q rounded to three dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112201 (base 3) to base 8.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 3. Let h = -2 + 12. Suppose 6*g + h = g. Let q(w) = -10*w - 16. Calculate g*q(n) - 11*j(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 - 4*d - 4. What is p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 6, i: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 + 18*c**2 + 28*c**2 + 13*c**2 - 47*c**2.\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43432.\nAnswer: 2, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2259 = -3*j - 5*g, -3*j - 5*g = -2*j - 763. Suppose t + 3*t = j. What are the prime factors of t?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226186732*s**2 + 279344*s + 775.\nAnswer: -452373464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/18471 and -131\/1288740.\nAnswer: 168824940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Calculate the smallest common multiple of (-4)\/(-26) - 37\/(-13) and j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29681\/7518 - 370\/179. Let l = t - 13\/6. Which is smaller: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2771970?\nAnswer: -2\/1385985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6970.632mg to kilograms.\nAnswer: 0.006970632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (10 - -12) - 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.057\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -32. Suppose j - 2*b - 8 = -x, 2*b = -2*j. Let k(t) = -t**2 - 4*t + 6. What is k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*z + 384 - 392, -z - 5*b = -12. Suppose 0 = 3*l + 3*w - 12, -5*w = 29 - 4. Solve z*h = 3 - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let y be (z - -2) + (-24)\/14. Let j = 0.6 + -2.6. Sort -3, j, y in decreasing order.\nAnswer: y, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5728 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 29394*j**3 + 4 + j**2 - 3.\nAnswer: -29394*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22101\/16 greater than 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/5, 18, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.076107898 to 3 decimal places.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66531781 or 66531769?\nAnswer: 66531769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7124?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 19 - 8)*(-2*l - 3*l + 3*l) as w*l + a and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89488\/3 - -407881\/10. Let g = v + -10956. What is the common denominator of g and (-72)\/(-128) + (-6)\/(-8)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 57933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 - x**3 + 2*x**2 + 11*x. Suppose -j + o - 22 = 6*o, -o = -5*j - 32. Let y be u(j). Are -2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2799, 2847, 2895, 2943, 2991?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 20. Suppose 3*n = t*h - 20, 5 = -2*n - 2*n + h. Find the second derivative of 5*w + w**2 - 5*w + n*w + 3*w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 8*r**2 + 6*r - 1. Suppose 3*a = -7 - 14. What are the prime factors of f(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**3 - x**2 + 8*x + 6. Let w(j) = 7*j**3 + j**2 - 7*j - 5. Let y(s) = 23 - 11*s + 14*s - 5*s. Let c be y(14). What is c*i(q) - 6*w(q)?\nAnswer: -2*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 126, 254, 422, 624?\n\"Answer: -f**3 + 29*f**2 + 2*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1353, -1\/8, 5, 1\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-5*j + 5*j - 6*j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 14 + 1 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17064, -17068, -17072, -17076, -17080?\nAnswer: -17084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*n**3 - 2192*h**2*n**2 - 3*h**2*n + 172*n**3 - 13767 wrt h.\nAnswer: 4*h*n**3 - 4384*h*n**2 - 6*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p + 1\/30*p**6 + 0 + 0*p**3 + 0*p**4 + 0*p**5 + 0*p**2. Factor i(a).\nAnswer: a**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 685614*g**4 - 235263 wrt g.\nAnswer: 2742456*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15037.3237 - -309.\nAnswer: -14728.3237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 7*m - 5. Let y be z(4). Let q(c) = -c**3 - 8*c**2 + 8*c + 6. Let h be q(y). What is the highest common divisor of 135 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 685 = 4*p, 204 = 3*s + 3*p - 207. List the prime factors of s.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 44 + (1 + -1 - 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -2*m**4 - 6*m + 6. Find the first derivative of h(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 8*f**3\/3 + 102. Let j(c) = -26*c. What is j(m(u))?\nAnswer: -208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3929835, -15719331, -35368489, -62877309, -98245791?\n\"Answer: -3929831*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135\/2926 or 0?\nAnswer: -135\/2926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**8\/n))\/(((n*n\/n**(-7)*n)\/n*n)\/n))**(1\/32) assuming n is positive.\nAnswer: n**(-15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 66046312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 294*z - 75*z)*(6*z - 20*z**3 + 43*z**3 - 25*z**3) in the form k*z**3 + i*z**4 + l*z**2 + v + b*z and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -210738 (base 10) to base 5\nAnswer: -23220423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d. Suppose 3*k - 8 = k. Give h(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -9*o - 19*o. Suppose o = 8*t - 5903 - 465. List the prime factors of t.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from fkfkkkdkdffkdddk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-15))\/4*(-1415)\/(-5660).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 14*r**2. Let h(j) = -3*j**2 - j - 1. Let a be (-2)\/10 + 4\/(-5). Let z(p) = a*t(p) - 3*h(p). Determine z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304736749 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(605))*3*3)**2.\nAnswer: -64152*sqrt(5) + 1767096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132214?\nAnswer: 2, 66107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.81864mg in micrograms?\nAnswer: 79818.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 13. Suppose -3*x + 3*g - 12 = 0, -g - 3*g = -4. Let k(u) = -11*u - 2. Let s(q) = 5*q + 1. Let i(f) = l*s(f) + x*k(f). Determine i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 15*u**2 - 33*u - 28. Let x(b) = -b**3 + 3*b**2 + 2*b - 7. Let q be x(4). Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -16. Suppose -6 = 2*j - f*j. Suppose 5*z - 2*p = -8 + 10, -z = -5*p - 5. Solve -2*t + j - 1 = z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7427946189 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -1. Let s(x) = x**3 + 4*x**2 + x - 2. Let o be s(v). Let i = 8 - 10. What is the third biggest value in i, 0.4, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -m - 1, 5*m = -0*m - 4*s + 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 149, 92, 1, -130, -307, -536, -823?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10513041 (base 6) to base 8\nAnswer: -1162421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**5)\/c*c\/(c*c**0*c))\/(c*c**(-4\/7)*c**(2\/3)\/c))**35)**(1\/12) assuming c is positive.\nAnswer: c**(205\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:12 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*x - 6922, -16*x - 2 = -15*x. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2196 take away 27902005?\nAnswer: -27901982.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 65 - 25 + 21.\nAnswer: 2*i + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 846954 and 4431?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -271\/6. Let z = 0.506 - -23.494. Put g, z, -2 in ascending order.\nAnswer: -2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41273, -82518, -123763?\nAnswer: -165008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/3, -10 in descending order.\nAnswer: 1, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225\/11 - 664\/33. Let y(f) be the third derivative of -1\/8*f**4 + 1\/60*f**5 + 0*f + o*f**3 - 8*f**2 + 0. Find v, given that y(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - 5*h + 6. Determine x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/6*(-54)\/120.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -171. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7872780899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158261 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1978689673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28872 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 144 = z, -u - 5*z - 46 = 15. Let t = u + 139. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15158)\/(-65))\/((-4)\/(-10)). What is the highest common divisor of j and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -3. Let q = y + 2. Let b = 2 + q. Sort b, -5, 4 in increasing order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 17*i**2 - 4 - 15*i**2 - 2.\nAnswer: -32*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a - 2. Let q(r) = -5*r + 3. Let t be 1\/2 - (-21)\/(-6). Let s(g) = t*i(g) - 2*q(g). Let l(k) = -k**2. Determine s(l(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/469564 and 149\/6.\nAnswer: 1408692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -428, -427, -426, -425, -424, -423?\n\"Answer: o - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.17 + 0.77. Let h = r + 8.4000018. What is h rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/30 + 2*x**2. Let b(n) be the second derivative of -n**4\/2 - 129*n. Determine k(b(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -19*z - 80. Which is the biggest value? (a) -9 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10 + (-158)\/(-10). Suppose 4*s = q, 5*m + s + 2 = 4*m. What is the remainder when 45 is divided by m\/(-30) + 59\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, 1, 13, 25, 37?\n\"Answer: 12*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i + 34*i - 58*i - 14*i.\nAnswer: -85*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from greuwrz. Give prob of sequence ewgu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1496)\/(-330) - 6\/(-20). Is a != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023932 to six decimal places.\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 105318?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 31980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8717.002 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-2)\/(-4). What is the nearest to -1 in 0.2, 1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 + 35*x - 35. Let l(b) = -2*b**2 - b + 2. Let g be l(-2). Let k(q) = -8326 + 8330 - q**2 + 8*q - 12*q. Calculate g*d(f) - 35*k(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:21 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/100 - (2\/15 + (-79)\/30).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*z + 246 = -186*z - 60 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 840*k**2 + 12285*k - 83050.\nAnswer: 5*(k - 5)*(k + 22)*(k + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/13 (c) 85 (d) 14 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1\/40*o**6 + 39*o**2 + 7\/60*o**5 + 2*o + 0 + 1\/3*o**3 - 1\/6*o**4. Find the second derivative of y(f) wrt f.\nAnswer: -18*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78588 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-12))\/((y*y\/(y**(-6)*y))\/y))\/(y*y**(2\/5))**46 assuming y is positive.\nAnswer: y**(-402\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-9)*6\/20. Suppose 4*y = 3*r - 83, -y - 6 = 2*y. Let h = 99\/4 - r. What is the third smallest value in 0.3, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*s**3 + 25*s**2 - 339*s - 3 wrt s.\nAnswer: -78*s + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4121*w - 636888 = -4567*w + 1106*w for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c**2. What is the remainder when (11\/264*6)\/(4\/336) is divided by u(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95408355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7142205 to the power of 1\/2, to the nearest integer?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 6*j + 31)*(-1 - 1 + 4)*(253 - 6*j**3 - 253).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.102*15580\nAnswer: 1589.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(1 + (-2)\/6). Let s = 6 - r. Let m(y) = 36*y - 986. Let q be m(28). Calculate the greatest common divisor of q and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30725000 rounded to the nearest 100000?\nAnswer: 30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*p - 245, 3*v - 150 - 207 = -p. Suppose -v = -3*n - 5*k + 60, -20 = 5*k. What is the greatest common divisor of n and 1518?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 64. Let r = -39 + w. Let q be (0*(12\/(-8))\/r)\/(-2). Is q smaller than 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8379*z**2 - 24*z + 30. List the prime factors of s(1).\nAnswer: 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 7*l**2 + 2*l. Determine u(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/149 bigger than 822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/20 - n**4\/12 + 9*n**3\/2 - 69*n**2 - 1. What is the tens digit of f(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/1464 + 11\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -908*q**2 + 564*q + 1.\nAnswer: -1816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.315966*-49.\nAnswer: 15.482334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4 - 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 76.1. Which is the second biggest value? (a) 4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + 10 - 10)*(-29 + 50 + 35).\nAnswer: 672*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-47935)\/(-3745) - 4*(-3)\/(-42). Let t = i + -3\/214. Find the common denominator of t and -7\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 86. Let h = s + 75.45. Round h to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -33\/5*q**5 + 2*q**6 - 15\/2*q**2 - 29*q**3 + 0*q - 117\/4*q**4 + 22. Solve p(m) = 0 for m.\nAnswer: -1, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)\/(c\/(c*c*c**(-7)*c*c)*c)*c**3*c**(-2\/7)\/c*(c\/c**(2\/3))**26\/(c**(4\/7)*(c\/((c*c**(1\/5))\/c))\/c) assuming c is positive.\nAnswer: c**(211\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -363.3 - -363.2. Which is the second biggest value? (a) 0.02 (b) o (c) 1\/2 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11 = -4*i + 9*i + 5, 9 = -3*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19922 - -19942. What is the greatest common factor of 3050 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.6336*-0.9\nAnswer: 10.47024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 + 34 + 7*g**2 - 34.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2779?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*r - 21*r - 22*r to the form d + o*r and give o.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 6, k: 4, u: 1, q: 1}. What is prob of picking 2 d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - o + 1, -6*o + 3*o = 2*a - 3. Solve -f = p + 2*f, a = -2*p - 4*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/19 + (1 - 2). Suppose -4*f + 6 = 2. Let d(i) = 5 - 22 + f + i**2. Calculate d(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*h + 3*r + 1 + 59 - 234, -r = 3*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 90 = 55*p, -3525*p + 3530*p + 5*u = -0*u + 90 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/132)\/(6\/(-4538)). Let w = -504\/11 - f. Find the common denominator of -55\/14 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016299222 rounded to 5 dps?\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-12) + (-1)\/2. Let q = 0.6 + -0.3. Suppose -3*k = -k. What is the nearest to i in 0.4, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 43 - (1 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 1 + 2 = 0, -17*k + 2*a - 180 = 7*k + 6*a + 312 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 7*q**2 + 4*q - 7. Let f be a(7). Suppose 0 = 5*u - 26 + f. Let w be 24\/9*6\/4. What is the greatest common factor of w and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (23 - 0)) + -23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 = -2*h. Let x be (1 + -1)\/(h + -9). Solve -18 = -s + 5*a, 3*a + 15 - 3 = x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 529*n - 529*n + 5*n**2 + (5 - 2 - 2)*(-n**2 + 0*n**2 + 0*n**2) - 1 - 2*n**2 + 1.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:07 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2509 less than -0.05?\nAnswer: 0.2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64268873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 2*c**2 - 2*c + 2. Let n(h) = -3*h**3 - 3*h**2 + 3*h - 2. What is 3*f(x) + 2*n(x)?\nAnswer: 6*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/7 (b) -0.5 (c) 61.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28106520022 + 1.\nAnswer: 0.71893479978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 530 - 550 = -5*d, 4*k - 2*d + 8 = 0. Solve k = -51*b + 64*b - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 4, -3*y + 67 = -z. Let j = 112 + y. What is the highest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 7*o + 2 = 0, a - 1125 = o - 1135 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368335 to the power of 1\/2, to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 2, k: 1, p: 1, t: 1, u: 2}. Give prob of sequence uk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 2)*(-3*z + 0*z + 2*z + (-2*z + 0 + 0)*(3 - 2 - 2) - z + z + 2*z) + 0 + 0 - 2*z)*(2 - 7 - 3) to the form w*z + d and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + b = 4*b + 11, -b = -2*v + 5. Let n(p) = -10*p + 0*p**2 - 23 - v*p**2 + 32 + 3*p**2. Let h be n(9). Solve -5*w + h*w = 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 31*u**2 - 71*u - 242. Calculate p(-29).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 53) + 35 + -43\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4302 - -11630. List the prime factors of c.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 2:53 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/((sqrt(77) + 2*sqrt(77) - sqrt(77))\/sqrt(11)))\/(2*(-1*sqrt(77))\/sqrt(7)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/4 and -1.3534 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 5*q + 5*c - 1837, 4*q = -3*c + 1372. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**(7\/6)*(p**(-2\/21))**49 assuming p is positive.\nAnswer: p**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48203 and 301?\nAnswer: 337421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2)\/(m*(m*m**(-2\/5))\/m*m))**(-13\/3)*((m*m*m**(-2\/9)*m*m)\/m**(4\/3))**48 assuming m is positive.\nAnswer: m**(1669\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**13\/(g\/g**(-1))**36)**50 assuming g is positive.\nAnswer: g**(-10150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4297950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0 = -12. Let l(f) = -f**3 + 11*f**2 - 11*f + 12. Let c be l(10). What is the second derivative of 5*g**2 - 7*g - 3*g**c + z*g**2 wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167 - -181.3. Let y = 11 - p. Let l = y + 2.3. Are l and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 2}. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4\/1029, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (567\/(-6))\/9*16\/28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-20)*(-8)\/(-1). Let c be 6*((-2)\/7)\/(u\/7). What is the hundreds digit of 2\/(-6) - (3 - 421\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -260215.604254 + 260213. Let t = 1.39581 - p. Let q = t - 4. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n + 31*n + 107*n**2 + 4*n + 10*n.\nAnswer: 107*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 4*a + 7. Let b be g(5). Find the third derivative of -25*q + 25*q - 11*q**4 - 5*q**b wrt q.\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(sqrt(24)\/sqrt(3)))\/(sqrt(8) + sqrt(800)\/sqrt(4)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**2 - k - 1. Let t(m) = 42*m**2 - 99*m - 1. What is -4*l(j) + t(j)?\nAnswer: 6*j**2 - 95*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 153*n**5\/20 - n**4\/6 - 11*n**3 - 5*n**2\/2 + 115*n. What is the second derivative of y(b) wrt b?\nAnswer: 918*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 2 - 8 - 12*p + 13*p to the form g*p + d and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 130 - 2*m**2 + 30 + 4*m**2 + 82.\nAnswer: 2*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29 + 3 = 5*s, 3*c - 26 = -s. Which is smaller: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -159238 or -159237?\nAnswer: -159237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 879 + -4413\/5. Let h = c - -4. Determine t, given that 2\/5*t**5 - h - 2\/5*t**4 - 4\/5*t**3 + 4\/5*t**2 + 2\/5*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.90804 + 0.89. Round f to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-744)\/32 - -3 - -19. Which is the third smallest value? (a) -10 (b) w (c) 3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -6*m**2 - 17*m - 2. Suppose 96*p - 35 = 101*p. Is y(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -96. Suppose 4*s - 93 = -4*w - u, 2*s = -4*w + 24. Let y be s\/(-3 - 25653\/(-8550)). What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 396.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 35 = 133. Suppose -6 + 5*z**2 + 34 + 12 + c*z - 11*z = 0. What is z?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 4*m**2 + 0*m - 8*m**2)*(-91*m + 143*m + 295*m).\nAnswer: -4164*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*(1 + -2))\/(-1). Suppose o = -2*w - 2*t + 12 - 4, -2*t + 13 = -3*w. Let h = 41.948187 + 0.051813. Is w bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-2)*57\/(-9))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*q**2 + 281*q**2 + 484*q**2.\nAnswer: 1022*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -325 divided by -1\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m + m - 2 + m)*(-1363 - 89 - 256) to the form o + w*m and give o.\nAnswer: 3416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v**4 + 9 - 8*v - 15 - 20 + 11*v**4 wrt v.\nAnswer: 32*v**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -535 or 46\/2575?\nAnswer: 46\/2575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1144 - -1163. What is the greatest common factor of 1691 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 175*g**3 - 2*g**2 + 4*g - 3. What is the remainder when h(1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1369831 and -1369831 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 59. Let s(d) = d - 1. Let g(i) = -i**2 - 9*i + 8. Let c(v) = -g(v) - 5*s(v). What is c(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 17*i**2 - 19*i - 44. Give s(-18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -2\/163, -5, -1?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14021757 or 14021754?\nAnswer: 14021757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7692, -8531, -9372, -10215?\n\"Answer: -g**2 - 836*g - 6855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2929220611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - d = -7, p + 2*d + 3 = 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12374236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (1*sqrt(63) + sqrt(63))\/sqrt(9) + -2 - (sqrt(112)\/sqrt(4) + -3*-2*sqrt(7))) + (5*2*sqrt(567) - (0 + sqrt(847) + -1)))**2.\nAnswer: -148*sqrt(7) + 38333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) -1395 (b) -3\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 1. Let k(o) = 4 - 3*o - 3*o**2 + o - 7. Let p(b) = -k(b) - 2*r(b). Determine p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:09 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 4, r: 1, q: 3, z: 4, e: 5}. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 18. Let n = p + -3. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11100, 17091, 23082, 29073, 35064?\nAnswer: 41055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.360111 less than 11.057596?\nAnswer: 13.417707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**3 - k**2 + 5*k**2 + 28*k**3 - 4*k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*j - 2*z + 17, -2*z = 2*j - 28. Suppose 0*c - j = -c. Let r(v) = -v**2 - 10*v - 7. What is the remainder when r(-6) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzttztttntnttntt. What is prob of sequence nz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 6*j**2 + 2*j + 5. Let w be s(4). Suppose 0 = 4*k - 75 - w. What is the remainder when k is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + r + r + 5*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1459 + 1458.8. What is the closest to 0 in -0.5, a, -2, -4.7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let v = 305 - 299. What is the remainder when v is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1062.79+7659.91\nAnswer: 8722.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1675415667.93809 and 0.1.\nAnswer: -1675415667.83809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14600 = 14600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1827840 and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 5 + (-9)\/(-7). Let g = -5 - -7. Let a = g - 4. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-1)\/(-3))\/(77\/(-33))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 335. What is the remainder when 88 is divided by (-4)\/((-120)\/(-6)) - k\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52752 divided by -1884.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j**2 + 20*j + 97. Let n be g(-7). Let i = n + -413. List the prime factors of i.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 3*k. Calculate v(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let q(c) be the second derivative of c**6\/144 + 4*c**4\/3 + 13*c. Let t(j) be the third derivative of q(j). Calculate t(x(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/134036, 2\/15, -1, 37 in decreasing order.\nAnswer: 37, 2\/15, -9\/134036, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.5. Let x = 1\/31 + -65\/93. Let u = -2\/227 - -464\/1135. Put x, u, c in decreasing order.\nAnswer: u, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 + l. Let d(a) = -6*a**2 + 7*a + 6. Let w(k) = -d(k) - q(k). Does 6 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*24*48\/384.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from mfyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1235 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000537 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 423*u - 27510. Give o(81).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52038 - 22038. Round r to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 33191707*t.\nAnswer: t*(t - 66383414)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057503 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + a - a**2 - 1)*(5 - 2 + 0) + 32*a**2 + 48*a**2 - 24*a**2 in the form p + k*a**2 + f*a and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2207736*n - 2207781*n + 2880 = 0 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54255 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*v**3 + 10*v**2 + 2*v + 29.\nAnswer: -126*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 47. Suppose h*w + 12 = 6*p - 5*p, -3*p = 3*w - 18. Solve p*b - 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than -56542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16978617 or 16978619?\nAnswer: 16978619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 56 + 54 - 12*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -60612?\nAnswer: 60620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**6\/240 + 17*o**4\/12 + 13*o. Let d(i) be the third derivative of t(i). Let l(h) = -3*h. What is d(l(p))?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + z**2 + z - 1. Let p(o) = 4*o**3 - 6*o**2 - 2*o + 2. Let v(y) = -p(y) - 5*q(y). Calculate the lowest common multiple of 2 and v(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1102.7 * -361.\nAnswer: -398074.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 7*v - 2130*v**2 - 1985*v**2 + 4335*v**2 - 13*v.\nAnswer: 220*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7209*u*y - 85753856*u + 7*y**2 + 164*y wrt y.\nAnswer: 7209*u + 14*y + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228034, -228063, -228092, -228121, -228150, -228179?\nAnswer: -228208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 13. Let n be o(4). Let f be 9*((-29)\/(-9) + n). Solve 3*a = -f*u + 15, -2*a - 2*u = -7*u - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 10*x**2 + x + 2. Let n be k(-10). Let g(v) = 3*v + 12. Let w be g(n). Let t = 14 + w. Solve -t*f = -y - y - 20, -3*y + 4*f = 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -65. Suppose 9*d - 14*d = 0. Solve h - 1 = -d*h + t, -h = 5*t - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4*r + 3. Let l be s(4). Let k(n) = 2*n**3 + 18*n**2 - 21*n - 10. Let a be k(-10). Suppose a = l*z - 1 - 17. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {w: 4, g: 1, l: 6, m: 1, v: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u - 3. Let g be n(-6). Let y be -3 - (0 - g\/18). Suppose 0 = -3*r + 1 + 2. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.8 + -363.8. Let f = -295.1 - i. Let v = -28.900334 + f. What is v rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 - 152*r + 156 = 0. What is r?\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/2 - 176*l**3 - 2773*l**2\/2 - 3621*l - 3096 = 0. Calculate l.\nAnswer: -344, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f**3 + 20*f**2 + 8*f - 3. Let c(l) = -30*l**3 - 40*l**2 - 17*l + 7. Let z(d) = -3*c(d) - 7*t(d). Suppose z(k) = 0. What is k?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9937.\nAnswer: 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 6 = -a. Suppose -5*g = 27 - 12, -105 = -a*r + g. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52433152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/3)\/(8\/180)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*n + 10262349, 5230*c + 6157395 = 5233*c - 3*n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7691*u**5 - 2*u**4 - 102*u**3 - 269409*u**2 + u - 32 wrt u.\nAnswer: -461460*u**2 - 48*u - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - 2\/(-2)*-9. What is the second biggest value in l, 1, 4.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.18 + -0.172?\nAnswer: 40.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let m(f) = f**3 + 2*f**2 - f + 31. Let h be m(0). Let o = 13 + h. Let l be o\/(-6) - (-20)\/15. Calculate z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 - (-82 - -94)) + 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018729998 to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 10*n**4 - 352\/3*n**3 - 512\/3 - 512*n + 448*n**2 = 0?\nAnswer: -4\/15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18933 - -18932.9. Is q greater than 5972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -3 - -4) + (-31 - (-21 + 45 + -2))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - p = -15, -2*p - 2 = -0*g + 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-720)\/120*(-2)\/(-28)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -15*u + 16*u + 223, 4*c + 3*u - 167 = 0. Calculate the remainder when 641 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/((z*z\/(z*z*z**3*z*z))\/z))*z)\/z*z)**(4\/9))**(-39)\/(z**(-1\/8)\/((z**6\/z*z)\/z)*(z*z\/z**5)\/(z\/z**(-5))) assuming z is positive.\nAnswer: z**(2003\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3 (c) 4 (d) -2\/3 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = -5*o, -4*o + 5 = -d - 0. Suppose r - 86*y = -91*y + 102, 4*y = d*r - 363. What is the remainder when r is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 4. Let i be h(2). Let d(v) be the third derivative of 1\/8*v**4 - 1\/3*v**3 - 1\/20*v**5 - 1\/120*v**6 + 0*v + v**i + 0. Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373203 at least -3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 106, 244, 438, 688, 994, 1356?\n\"Answer: 28*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.599 + 40.84. Round b to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -18. Let a(l) = -l**3 - 6*l**2 + 5. Let t be a(-6). Suppose 0 = -t*d - 5*s - 19 - j, 0 = 4*s + 8. Is -4 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 12 = -6*b. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5.04. Let d = -4.96 + h. Let k = 1 - 0. What is the second biggest value in k, 4, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m + 4. Let a = -666 - -661. Suppose -5*o + 2*h - h + 29 = 0, 5*o = -2*h + 32. Let l(f) = -9*f + 5. Calculate a*l(w) + o*b(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5041 + -1014425?\nAnswer: -1005344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 231\/2*o**3 - 48*o + 123\/2*o**2 + 6 = 0.\nAnswer: -1, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17457, 18322, 20665, 25224, 32737, 43942, 59577?\n\"Answer: 123*l**3 + l**2 + l + 17332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3235, -6860, -10485, -14110, -17735, -21360?\nAnswer: -24985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 5*n - 80, -4*y - 5*n + 66 = 0. List the prime factors of ((-2541)\/y)\/((-1)\/2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6.5. Let y = -1.50000065 + f. Round y to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (((-780)\/(-75))\/13)\/(2\/5) and 556?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 - 10*u + 12. Let x be t(7). What is the highest common factor of 32 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 23 = -u + 3*d, -5*d - 11 = -7*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 + 2*u**3 - 3*u**2\/2 - 9*u + 1. Let t be b(4). Let k = 0.07 + 0.03. Is t bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654 = 5*j - 621. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1. Let n(l) be the second derivative of -l**3\/6 + 21*l**2\/2 + 5*l - 695. Determine -n(i) + 6*r(i).\nAnswer: i - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 122265 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + h**2 - 5*h. Let j(m) = m**3 - m**2 - m. Calculate 3*j(y) - l(y).\nAnswer: 2*y**3 - 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/13802 and -57\/7800190.\nAnswer: 522612730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 24 + 24 = 0. Let r = 2 - -1. Suppose 33 = i + 3*f - 7*f, -r*i + f + 88 = o. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from nhnqndkananan?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:12 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53307*h**3 - h - 26985 wrt h?\nAnswer: -319842*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -65 + 1\/2*u**3 + 1\/4*u**4 + 0*u**2 + 2*u. Solve y(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose b*f = l + l - 5, 4*f + 4*l = -32. Let d(u) be the third derivative of u**4\/12 - u**3\/6 - 12*u**2. Calculate d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 616903786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1, -3, 3, 15185 in decreasing order.\nAnswer: 15185, 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116407453.\nAnswer: 116407453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00337976373 rounded to 5 decimal places?\nAnswer: -0.00338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182.8 - -181. Let h = x + 17.8. Let u be 40\/78 + 6\/(-9). Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 + 212. Let i be 1*(-16)\/f*33. Suppose -n + 6 = 2*o, -n + 3 = 4*o + o. What is the greatest common factor of n and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 30.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28916 - 28910. What is the remainder when 692 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/18)\/n**(-9)*(n\/n**(2\/9)*n)**(2\/91))\/((n**(1\/4))**(-27)*(n\/n**(2\/19))\/(n\/((n*n**(-2\/23)*n)\/n))) assuming n is positive.\nAnswer: n**(2374207\/159068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2638903 times 3?\nAnswer: -7916709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02805 and -340.\nAnswer: -9.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -57*r**3 - 33*r**2 - 33*r. Let l = -91 - -97. Let j be (-112)\/(-42)*l\/(-4). Let h(i) = i**3 + 7*i**3 + 4*i**2 + 4*i - i**3. Give j*a(t) - 33*h(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 13) in base 12?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, -11, 10610, 0 in increasing order.\nAnswer: -28, -11, 0, 3, 10610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 + 864*t**2 + 44352*t + 301056 = 0 for t.\nAnswer: -224, -56, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20278 by 1.\nAnswer: 20278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:45 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -878*u - 22131. Calculate s(-26).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/2 - 3*l**2 - 31*l. What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 31259610?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7809 + 11673934*x - 11673934*x + x**4 - 587*x**2 wrt x?\nAnswer: 4*x**3 - 1174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (2*sqrt(76) + sqrt(76))*1)\/((sqrt(4) - sqrt(36))*5)*-4)**2.\nAnswer: 304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26336 is divided by 6409?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-170)\/(-25) + (-2)\/(-10). Which is smaller: -2\/11 or d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6154797 is divided by 16369.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a microgram in nanograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/290 and -61\/335?\nAnswer: 19430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - 18. Let r = 127 + i. Let u be ((-2)\/(-18))\/(1\/(-2)). Sort r, u, 0.5 in ascending order.\nAnswer: r, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -380*d - 242. Calculate the remainder when r(-3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3274445 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23610535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861*j**2 - 825*j**2 + 1687*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 - 476*v - 12. What are the prime factors of q(-6)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5 + 90\/50?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.10054 - -0.72733485.\nAnswer: 0.82787485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454991908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -256, -273, -290?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40139 - 12?\nAnswer: 40127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15*952\/(-2380).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 + 2*y + 13. Determine j(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**2 - k. Let r(l) = -l**3 + 5*l**2 - l + 6. Let q be r(5). Let z be x(q). What is the tens digit of (-26)\/(-5)*(-25)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - -5?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 419577 and 105219.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 12*b - 42. Give s(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83780, 0.3, -18\/227 in decreasing order.\nAnswer: 0.3, -18\/227, -83780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 11) to base 15.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29326423?\nAnswer: 7, 4189489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21770 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0*l**2 + 0*l**7 + 1\/30*l**6 + 0*l**5 + 0*l**3 + 13\/28*l**8 + 6*l + 9\/4*l**4 + 0. Find the third derivative of i(j) wrt j.\nAnswer: 3120*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14756, 29410, 43966, 58424, 72784, 87046, 101210?\n\"Answer: -49*d**2 + 14801*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 738*l**3 - 44640*l**2 - 92256*l.\nAnswer: -3*l*(l - 124)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, 104, 0 in decreasing order.\nAnswer: 104, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + j. Let m(d) = -40*d**2 + 8*d + 19*d**2 + 13*d**2. Let f(b) = -2*m(b) + 14*r(b). Factor f(i).\nAnswer: 2*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 + 200012?\nAnswer: 201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**4\/12 - 3*f**2. Let i(u) = 9*u**2. Calculate y(i(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6574244608.\nAnswer: 2, 25680643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 661 = 789. Suppose 11*w - l*w + 2540 = 0. List the prime factors of w.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4124821 is divided by 209.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7cd956 + -2?\nAnswer: -7cd958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*j + 216, -2*c + 26 = 20. Is -101 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14085 and 142728.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7718.08663 - 7718. Let m = 0.087 - p. What is m rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 352, 1279, 3136, 6247, 10936, 17527, 26344?\n\"Answer: 54*q**3 - 21*q**2 + 6*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605200 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4959305.\nAnswer: 5, 13, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 + (-29 - -56) - -18\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + m**2 + 1455*m + m**2 + 1418*m.\nAnswer: 2*m**2 + 2873*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 5*m**2 - 5. Let t(b) = -913*b + 4572. Let y be t(5). Let x(c) = -3*c**3 + 4*c**2 + 4. Give y*x(n) + 6*g(n).\nAnswer: -3*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*j = 284*j - 792. Put j, 3, 38 in decreasing order.\nAnswer: 38, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53\/25 + 131\/50. Which is the second biggest value? (a) -3 (b) -8 (c) g (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q + 95 + 78 - 173. Let y(z) = 15*z**2. Give s(y(l)).\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m - 1. Let d(r) = -6*r**2 + 5*r + 5. Calculate -d(v) - 5*l(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r*t**3 + 6*r*t - 1358*r - 1354*t**3 + 3*t - 3 wrt t.\nAnswer: -42*r*t - 8124*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003569877 to 6 dps.\nAnswer: -0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9912052 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 991*l - 991*l + 10*l**2. Let s(o) = -5*o. Calculate q(s(d)).\nAnswer: 250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/10)\/a*a*a\/a**(-1\/13) assuming a is positive.\nAnswer: a**(257\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 46514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 318668 + 318476 = -4*s + 2*y, 2*s - 4*y = 106 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 329874.2 milligrams?\nAnswer: 0.3298742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -131 - 8*v**4 + 131 + (3 - 6 - 26*v + 27*v)*(-23 + 23 - 10*v**3).\nAnswer: -18*v**4 + 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 13, 6, -17, -62, -135, -242, -389?\n\"Answer: -q**3 + q**2 + 7*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 - 6 = 0. Suppose 0 = -l*u - 47 + 14. Calculate the common denominator of 37\/3 and (21\/u)\/((-9)\/24).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.40781 - -0.00781. Let l be (0 - -2)\/6 + -1. Which is the nearest to 0? (a) l (b) -0.7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 597 + -562 + -15 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/7, -8, 18, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + 6. Let z(r) = -7*r + 9. Calculate -5*x(j) + 4*z(j).\nAnswer: -3*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63623838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21.8588 * -0.4\nAnswer: -8.74352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19106 by 233.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 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: Expand 5*y**5 - 5*y**5 - 5*y**5 + (1 - 1 + 3*y**4)*(-y + 4*y - y).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4))\/((-1400)\/100)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (495\/21)\/(-5) - (-8)\/(-28). Let h(i) = i**2 - 7*i - 2. Let j be h(x). Let c = 72 - j. Solve -3*p - c = b - 5, 2*b = -4*p - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 6 = -8*h. Suppose -4*m - 5*c + 30 = 0, -5*m + 4*m + 4*c - h = 0. Find the first derivative of 413*w - 3 - 13*w**2 - 413*w + m - w**3 wrt w.\nAnswer: -3*w**2 - 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.6894cm to micrometers.\nAnswer: 5956894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25381203173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11863, 23718, 35573, 47428?\n\"Answer: 11855*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1*(20\/6 - 3). Is ((-8180)\/10)\/(-1 + z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194637.\nAnswer: 23, 95419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359 - 357. Suppose 4*g + 4 = -b*j + 12, -3*j - 3*g = -9. Solve -2*t + 2 = -j*z, 4*z - 16 = -4*t - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*o - 8, 4*o - 10 = -13*i + 42 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2241075266549423.8 + 2241074057589949.8000147. Let v = -1208959319 - i. Let r = 155 - v. What is r rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002834595 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882504 is divided by 871?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -168332, -48 in decreasing order.\nAnswer: 5, -48, -168332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**2)**22\/(k**(-3\/4))**(5\/11) assuming k is positive.\nAnswer: k**(15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/(1\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 16 = -4*f. Let o be f\/(16\/(-4)) - -1. Factor -3\/2*g - 1\/2 - 1\/2*g**3 - 3\/2*g**o.\nAnswer: -(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 5*k + 103*k**2 - 2*k**2 - 4*k.\nAnswer: 101*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 - 79. Suppose -4*r + x + 22 = 0. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -46*n - 372. Is 8 a factor of y(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 1. Let h be -9 + (-1 - 2\/(-2)). Let n be ((-3)\/h)\/(2\/6). Let t be s(n). Solve -5*a + 4 + 6 = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 3. Let w be c(8). Let q(l) be the second derivative of -l**4\/12 + 3*l**2 - 38*l. Let v(z) = 0 - 1 + 0. Give w*v(k) + 2*q(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**2 - 8*v - 5. Let g(c) = 23*c**2 - 22*c - 15. Let p(h) = -6*g(h) + 17*k(h). Let i(f) = f**2 + 3*f - 4. Let w = -2 + -2. Give w*i(j) - 3*p(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473564 is divided by 466.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 n when four letters picked without replacement from annna?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttdtdtdttddd. What is prob of picking 1 t and 2 d?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1ca86a (base 14) to base 4\nAnswer: -3322331032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157 take away 37987267?\nAnswer: -37987267.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {e: 2, x: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -96. Suppose 11*k**p + 3*k**4 + k**2 - 16*k**3 + 16*k - 9 + k**4 - 7 = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174501 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7229493 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*f + 3*f. Let d be (f\/(-6))\/(3\/(-18)). Suppose -d*k = -7*k - 1580000. What is k rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 44 - (8 + -12)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p = -130*p + 132 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/(-28) + (-2)\/(-7). Let t be (5\/(-5) + -7)*(-2 + 1). Let h be (-36)\/(-10) - (-3)\/(60\/t). What is the closest to 0 in 1\/3, l, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 17. Give w(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.42 at least as big as -35.07949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:19 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 5\/((-25)\/35). Find the second derivative of w**y - 3*w**4 - 16*w - w**4 wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 122 + 152 = 0. Suppose -2*p - l = -828, i*l + 1330 + 740 = 5*p. Is p a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:40 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -1de?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -2*a - 0*a, 2*a + 5*r = 28. Solve 3*b - 4*k = -20, k - a*k + 2 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r + 379758000 = 187*r - 108*r. What is r rounded to the nearest 100000?\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 7 - (1 + 2 + -7)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 24*i - 51. Let g be d(-21). Suppose 0 = -b + 15 - g. Put 0, b, -10, 4 in decreasing order.\nAnswer: 4, b, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxl when three letters picked without replacement from {n: 1, x: 1, l: 2, w: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 894*m - 17542. Let o(u) = 1330*u - 26314. Let r(s) = -8*h(s) + 5*o(s). Find the first derivative of r(f) wrt f.\nAnswer: -502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 794 = 5*w + 6*i + 112, 2*i + 286 = 2*w. What is the greatest common factor of w and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-71 + -21 - 1) + 23?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*a - 3*a + 59, 43 = -2*f + 5*a. What is the remainder when 827\/15 + f\/105 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*m - 4*m = -m - m - 77 - 39, 2*m = -100 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + -23 + 342\/12 - 6. Let n(f) = -f**2 - f. Let h(a) = -11*a**2 - 4*a - 7. Give u*h(x) + 4*n(x).\nAnswer: 7*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((-500)\/(-175))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 3*p - 4. Give r(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 11 - 27 - 7*y + (3*y - 2*y - 3*y)*(5 + 0 - 3))*(-y**3 + 2*y**3 - 2*y**3).\nAnswer: 3*y**4 + 38*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 + o**2 + 6*o - 5. Let v be q(3). Let w = v + 195. Let j = 149 - w. What is j rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1518, 1519, 1520, 1521?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 596984127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.9 + 21. Let i = -1 + h. Let v = 4.73 + 0.27. Which is the nearest to i? (a) 0.5 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 - -1672235?\nAnswer: 1672166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086672051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 34*v**2 + 71*v + 122. Let r be g(-3). Is 221 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, c: 1, a: 2}. Give prob of sequence ae.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -2)**2 - sqrt(76) - (-2 + sqrt(19)*2)) + (-3*(sqrt(19)*2)**2 - sqrt(171)*3).\nAnswer: -146 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-205)\/902*((480\/(-25))\/6)\/2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, 0, 24, 4, 1, -44 in increasing order.\nAnswer: -167, -44, 0, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 2*p - 2*p)*(0*p**2 - 5*p**2 + p**2) + (-19*p**2 + p**2 + 5*p**2)*(2 + p - 2) + p**3 + p**3 - 3*p**3 as t*p**2 + n*p + k*p**3 + m and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21332210 (base 4) in base 16?\nAnswer: -9fa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*32\/48. Suppose 10*t = 9*t - j. Let u be (-1)\/(-7)*-1 - 0. Is u at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -151*71\/(-9) + 36\/(-162)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 0*a**2 - a**2 - 2*a**2. Let m(r) = 10*r + 6. Let k(u) = -3*u - 1. Let s(x) = -12*k(x) - 2*m(x). Calculate q(s(b)).\nAnswer: -768*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(8\/(-3)) + 35\/10. Let q(v) = -v**3 - v**2 + 8*v - 1. Let l be q(r). Factor -2\/5*k**4 + 6\/5*k**2 + 0 + 0*k**l - 4\/5*k.\nAnswer: -2*k*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * -5.644264.\nAnswer: -10.1596752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1162 and -25\/271?\nAnswer: 314902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:00 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-4)\/((-12)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)\/n*n\/(n*n\/n**(-15)))\/((n*n*n**(-4))\/n**(-12)) assuming n is positive.\nAnswer: n**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 18*c + 22. Let p be (24\/(-32))\/(1\/(-12)). Let x be k(p). Suppose -4*g - 7 = -x. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -11) + (35 - -12 - -25).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4\/7 (c) -1183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0. Suppose -22*w = u*w - 25. Solve -z + 3 = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 + -354. Let j = 281\/6 + -95\/2. Which is the fourth smallest value? (a) -3 (b) 3 (c) j (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 1 - -2) + (-100 - (75 + -178))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-238)\/6). Let h(r) = r**2 - 15*r + 30. Let j be h(4). Let z be j\/60 - 12\/120. Which is the biggest value? (a) s (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 58091072 = 3*n, -2*u + 3*n + 14959862 = -8276565. Let w = u - 418215. What is w rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:33 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -35945693\nAnswer: 5\/35945693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568729.\nAnswer: 1568729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -244*d**2 + 6813*d + 321. What is k(28)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -597*d + 290*d + 284*d - d**2. Let z be a(-23). Solve z = 4*y - 0*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 973853*n**3 - 3*n - 143188472 wrt n.\nAnswer: 2921559*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 17*b - 6*b**2 - 1\/4*b**4 + 37 + 6*b**3. Does 15 divide s(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53.62318 kilometers?\nAnswer: 53623180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-80) - (-6)\/4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35763.5 rounded to the nearest ten?\nAnswer: 35760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -199 + 4?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-15))**41*h**(-17)*h**11*h assuming h is positive.\nAnswer: h**692","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 163921 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w + 5. Let h be g(-9). Suppose h = -2*d - 3. Let k be ((-20)\/6)\/((-4)\/(-6)). Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 + -236. Which is the smallest value? (a) 4 (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100001011 (base 2) to base 15\nAnswer: 121b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14321284 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 22167.9273 to the nearest 100.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 5. Let j be z(-7). Let u(y) = -3*y - 26. Let d be u(j). Solve 0 = -3*c + 10 - d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2311 = -3*k + 5*x, -1504 = -4*k + 2*k - 4*x. Let a(r) = -2*r - 758*r**2 + 1 - k*r**2 + 1512*r**2. Calculate a(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:11 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 8. Let n be h(6). Suppose 3 = -n*l + 5. Find the second derivative of l - 1 - t + 2*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 148618*j + 43163151. What is m(-291)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/768 and -13\/20760.\nAnswer: 664320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y**3 + 7*y**2 + 14*y - 363. Let o(w) = -9*w**3 - 4*w**2 - 8*w + 182. Let a(x) = 4*h(x) + 7*o(x). Find the first derivative of a(k) wrt k.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - -1*(4 + -2). Suppose -s + 75 = 4*k. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3*30\/25. Suppose -3*a - a + h*l = -4, 5*l = 2*a + 7. Suppose 3*q + n - 6*n - 98 = 0, -a = n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 - 598618 + 598597 - 12*x**2.\nAnswer: -25*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -7. Let c = t - 7. Let i be (-3 + 2\/2)\/(-11). Is i < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6658267*u**2 + 6882135 wrt u.\nAnswer: 13316534*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 16. Suppose 0 = b + b. Let u be s(b). Let i = u + -5. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20. Solve q = -432*y + 427*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 29172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 4*k = 11. Put 4, k, -5 in ascending order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 160 = -3*w, -2*k = -w - 0*w + 56. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239829*g**3 - 479737*g**3 + 239906*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -12662, 0.3, 0, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -5, 3 in ascending order.\nAnswer: -52, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338\/3*(2052\/18 + 15) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/231)\/((-2)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 14?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -123*m - 925. Let s be d(-8). Solve s = -11*x + 37 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:19 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 19*r**3 + 4*r - 3*r.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -126 + 7 + 73?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.24+7869\nAnswer: 7868.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32810 and 16405.\nAnswer: 32810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19576*x + 19500*x = 2128 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1651\/280 + 43\/35. Suppose -2*s + 2*u - 44 = s, -3*s - 2*u = 28. Let h = -23\/2 - s. Find the common denominator of h and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/13*14\/((-2170)\/(-93))*(-6)\/9\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 30*h - 219. Suppose 2*y - y - 14 = -2*i, -52 = -3*y - 4*i. List the prime factors of r(y).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 < -3301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2 = -n, -8*n + 5*n = 3*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 4*b**2 + 17 - 7*b**2 + 10 + 3.\nAnswer: -b**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m - 50. Let a(v) = 4*v + 17. What is -17*a(z) - 6*n(z)?\nAnswer: -2*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1974 + 9846\/5. Put 1\/5, -0.1, u in decreasing order.\nAnswer: 1\/5, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 466935 - 1046124. Let c = -28189 - y. What is c rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.42 - -4.68. Let x = -5.138 + w. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*d**2 - 2*d**4 + 16 + 123*d**2 + 2*d - 3*d**3 + 13 - 29 in the form t*d**4 + s + h*d**2 + j*d**3 + c*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618731324?\nAnswer: 2, 154682831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 113*z**3 + 8027*z**2 + 281*z - 218. Calculate a(-71).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6363*d - 1711638. What is o(-269)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m + 163. Let f be a(7). Solve 28 = -f*d - 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from tyylyyyltyyyltytyyyn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -4 + -3)*1 - 1. Suppose 2*i + 35 - 3101 = c. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123 + 4*f**3 - 123)*(-6 - 6 + 4) - f**3 + 7*f**3 - 4*f**3 to b*f + m + i*f**3 + h*f**2 and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10709*b**3 - 10344*b**3 + 2 + 32069*b**3 - 10666*b**3 - 4*b in the form v*b**3 + k*b**2 + m*b + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let y = -0.66 - -0.76. What is the nearest to y in 0.1, 1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11)\/(c\/c**(23\/3)))**(-16) assuming c is positive.\nAnswer: c**(-3472\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15. Let o(m) = m - 29. Determine 2*o(l) + 5*w(l).\nAnswer: 2*l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000110011100011110 (base 2) to base 6.\nAnswer: -245411314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**5 - 737*n**4 - 31899*n**3 + 43601*n**2 - 10962*n = 0?\nAnswer: -189, -58, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 10*w**4\/3 + w**3\/6 - w**2\/2 + 14*w. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3129423*q**5*u + 3*q*u + 2*q - 488590*u wrt q.\nAnswer: 62588460*q**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 16.99, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6578 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -6, -2 in decreasing order.\nAnswer: 3, -2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247340 - 115381. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -296*b**5 + 8678*b**3 - 5173351*b wrt b.\nAnswer: -5920*b**3 + 52068*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 5.01. Which is the biggest value? (a) n (b) 1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9554345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.17, 3764.91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3136007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 8*x - 8. Let v be o(9). Let l be 4\/6*(-3 + 6). Suppose -f = 2*s - 1, 5*f - 7 = 2*f - l*s. Solve -v + f = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**6\/3 - 4*s**5\/5 - s**3\/3 + 41*s**2\/2 + 18. Find the third derivative of i(b) wrt b.\nAnswer: 120*b**2 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1313 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.3147 and 82169.\nAnswer: 82156.6853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -851910, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*l + 6, -3*l + 3*o + 13 = -2. Sort l, 5, -1.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -224727.\nAnswer: 22472.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 923 = 316*j - 1289 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - q = 0, 10*q - 24 = 4*g + 6*q. Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 8. Calculate z(15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**31*i*i))\/i**(2\/5))\/(i**(-15))**(11\/4) assuming i is positive.\nAnswer: i**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 141 + 21 = 0. Calculate the remainder when 78 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1421 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -380, -347, -314?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/263927100 and -71\/456?\nAnswer: 527854200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415.9166 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51\/227 - -11633\/2270. Suppose 2*w + 0*w = 16. What is the common denominator of p and (-2)\/w*(-24)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 17214626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70532 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12433\/19 or -2?\nAnswer: 12433\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**2 - 11*h**2 + 5 + 21*h**2 - 2*h**3 to s + r*h**3 + b*h + i*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggqgg. What is prob of sequence gg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 384095303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12459222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9287, 37083, 83391, 148211, 231543?\nAnswer: 333387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-1 + 3) - -57. Let a be ((-44)\/l)\/(2\/(-10)). Find the third derivative of 8*t**3 + 7*t**3 - 15*t**3 - 9*t**a - 4*t**2 wrt t.\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 497 (b) -3\/4 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 171. What is u(35)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 6*t + 11. Give a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/360 + u**4\/24 - u**3\/6 + 2*u**2. Let x(f) be the first derivative of r(f). Differentiate x(a) with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 1\/60*c**6 - 5 - 4*c + 0*c**2 - 1\/6*c**3 - 1\/10*c**5 + 5\/24*c**4. Let o(h) be the first derivative of j(h). Factor o(m).\nAnswer: m*(m - 2)*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d**2 - d + 6. Determine n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*q - 12, q = -4*d + 2*d. Let h = d + 4. Which is the nearest to h? (a) -1\/7 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f - 10. Let s be (556\/834)\/((-1)\/9). Give g(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1021153 + 31?\nAnswer: -1021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 254.635933 to 2 decimal places.\nAnswer: 254.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 + 41406*a - 82820 = 0. What is a?\nAnswer: -20705, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 527, 792, 1057?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2359473 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56592550 is divided by 2263702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmvvv. Give prob of sequence vv.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -108 + (3 + (4 - -1 - (-58 - -64)) - 3)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10 - (0 + 5 + -8)) + (-471 - -405).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3))\/m*m*m**(-3\/10)*(m\/m**(-2\/13))\/(((m**(-7)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(3713\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 49 + 157 + -64 + -61\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01538 times -0.5?\nAnswer: -0.00769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314201 + 4?\nAnswer: -314142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87*3\/(-18))\/(6\/12). What is the highest common factor of 377 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178084*s**4 + 1058376*s**3 - 4868892*s**2 + 274320*s - 3888 = 0. Calculate s.\nAnswer: -9, 6\/211, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 173 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 26. Let l be u(15). Solve -f - 3*o = 5, l*f - 3*o - 7 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0) + (-25)\/(-20). Let y be (1\/(-5))\/((-12)\/(-10)). Which is the nearest to 0.09? (a) -0.3 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, t: 7}. Give prob of sequence bu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 + 9*u + 9. Let m be t(-6). Let j be (-2)\/10 + m\/15. Suppose -4*s - 3*k = -1, 0 = -28*s + 23*s + 2*k + 30. Solve -s*z + 0 = j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-200)\/(-5) + 2*1. Let s = 206\/5 - y. Let m = 131685 + -131685. Is s smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + u - 4*i, 2*u - 5 = 3*i. Let w = u + -10. Let d = -4 + 2. Which is the nearest to 2\/5? (a) -1 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3457.43 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 31. Let z = 40 - j. Solve 0 = 5*g + 3*n, -2*n = -z*g + 28 - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) - (-7 - 1415\/(-175))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k**2 + 1. Let y(f) = -4*f**3 + 6*f**2 + 11*f - 12. Let l(o) = 3*q(o) + y(o). Let a be l(7). Let h = -86 - a. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 8564*h**2 + 7*h + 7*h.\nAnswer: 8564*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(77) + sqrt(77)) - (-5*sqrt(77)*1 - sqrt(77)))*-5)\/((2*sqrt(77) + sqrt(77))\/sqrt(11) + (sqrt(7) - sqrt(7)*-3)*1).\nAnswer: -10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37070029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77*((-107109)\/(-126))\/((-30)\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -12, -478, 4, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (111949 - -7)*6\/8. Suppose -12*h = -j + 10011. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 - 4*u. Let t be p(-6). What is the second biggest value in 4, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, y: 4, m: 8, e: 1, i: 1}. Give prob of sequence fim.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3555, -2 in ascending order.\nAnswer: -3555, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*l - 8792 = 1688 + 6160 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1004*j + 1416 wrt j.\nAnswer: 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 6.299.\nAnswer: 3.7794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 6. Let c be l(4). Let f be 14\/c*24\/(-56). Suppose 2*b + 0*b + 5*t - 41 = 0, 0 = -f*t - 9. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*(-28)\/1470 + (-4)\/(-2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -2*k, -v + 2*k - 3*k = 1. Let f(o) be the third derivative of 0 - 1\/20*o**5 + 1\/3*o**3 + 4*o**2 - 1\/120*o**6 + 0*o - 1\/24*o**4. Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76892.\nAnswer: 2, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -46 + 84 - 38 - 5*c. Let i(d) be the third derivative of d**4\/8 - d**2. Determine i(r(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + -11 - (-12 - -10 - -18)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -371 + -12443?\nAnswer: -12824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -53. Let j be 6 + (s + 2 - (-9 - -7)). Let w = j - 4. Solve -q = -w*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 0.7. Let w = -2 - -1.96. Let f = w + -2.96. What is the closest to 0 in 5, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030109133 to 7 decimal places.\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63127549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, u: 6, f: 1, a: 1, z: 1}. What is prob of picking 1 a and 1 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 174 + 180 = 0, -3*c = 3*r - 6. Solve -5*l = -r*x, -x - l = 4*l + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 11*r**2 + 114*r - 749. Calculate t(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -3, 0.2, 18643\/8, -0.2, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 707367 and 386066.\nAnswer: 1093433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/11*d**3 + 2\/11*d**4 + 0*d + 2\/11*d**2 + 0.\nAnswer: 2*d**2*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -410402?\nAnswer: 410442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 35*r + 151. What is o(28)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 187, 149, 111, 73?\n\"Answer: -38*t + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56467 - 26730. List the prime factors of n.\nAnswer: 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/36 and (((-5)\/64)\/5)\/((6321\/(-2982))\/(-7))?\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, c: 2}. What is prob of sequence kz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6987 rounded to two dps?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(154))\/sqrt(7)*6)\/(sqrt(18)\/(sqrt(81) + (sqrt(81) + (sqrt(81) - 2*sqrt(81) - sqrt(81) - sqrt(81)) - sqrt(81)) + sqrt(81)))*6.\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3\/8, 2\/7, 65 in decreasing order.\nAnswer: 65, 31, 3\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t = 20. Let r be (-30)\/t + 3\/(-6). Suppose -l + r = -0*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211339 divided by -7.\nAnswer: 211339\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7012, 8152, 9292?\nAnswer: 10432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/60)\/(-17*28\/(-2856)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15009)\/(-39) + (6 - (-456)\/(-78))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14618\/19 greater than or equal to -769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109047458999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*q + 918 = 0, -5*q - 276 = -i - 9*q. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451591615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15340 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -9?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.068, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3 + 58998472*x**2 - 870204865585221*x - 1740409967164338 = 0.\nAnswer: -2, 29499237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-2\/7))**(-32)\/((l*l**(-2)\/l)\/(l**(-2\/3)\/l))*l**(-2\/3)\/l*l**(-5\/3)*(l\/l**(5\/3))\/(((l\/l**(-4)*l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-1718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 891586739 to the nearest integer?\nAnswer: 29859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o - 86. Let v be u(0). Is v\/(-2 + 3 + 0 - 3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 38. What is m(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 999*l - 1004*l = -5*r + 1575, 4*l = -r + 250. What is the remainder when r is divided by (-534)\/(-7) + (-6)\/21?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-45))\/(7*(-10)\/(-175)). Which is the nearest to 3? (a) 1 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w*w*w*w**(-3\/4))**5 assuming w is positive.\nAnswer: w**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 2?\nAnswer: -255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*x - 64*x - 26*x.\nAnswer: -311*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/214336 and 55\/3152.\nAnswer: 214336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995?\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 363594962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253852393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 15*q - 348 - 822 = 0. Solve 160 = -13*f + q*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*u + 66 - 8186 = 0 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/7 - 65*c**4\/7 + 248*c**3\/7 - 244*c**2\/7 = 0.\nAnswer: 0, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 616, 606, 596, 586?\n\"Answer: -10*t + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(204) + 3*-2*sqrt(204))\/(sqrt(108)*2 - sqrt(12))*-5.\nAnswer: -2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 183\/21 + 2\/7. Suppose -2*n - 22 = 3*h + 2*n, 3*h = -5*n - 23. Let z = y + h. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 2*i + 2*i + 5)*(-3*i + 5*i + i).\nAnswer: -3*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 16*z**2 - 13*z + 32. Let q be u(-15). Solve 2*n - q*r = -3*r - 3, -5*r = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23832 divided by -24\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128486 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i + 10\/3*i**3 + 0*i**2 - 19. Let m(u) = -3*u. Calculate a(m(s)).\nAnswer: 90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 15*v + 39. Let t be m(17). Suppose 4*r - 9*r + t = 0. Which is smaller: r or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66.93 - -67.13. What is the nearest to v in 2, -1\/7, 31, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/360 + j**5\/40 - j**4\/8 + j**3\/2 + 7*j**2. Let q(a) be the first derivative of x(a). Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400051 (base 8) to base 11.\nAnswer: -249507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 6\/3 - -309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3682806 and 58.1.\nAnswer: -3682747.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + (sqrt(99) + 3)*1 + -4)**2 + -2)*-6.\nAnswer: -636 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1416\nAnswer: 1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -561, -1, -0.2256 in decreasing order.\nAnswer: -0.2256, -1, -26, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -47\/10, -60158?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/14 and -23\/20082.\nAnswer: 140574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77980, -155584, -233186, -310786?\n\"Answer: k**2 - 77607*k - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 14*c + 38*c - 15*c - 10*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 587 + 605. Is 68 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91632 - -108125747\/1180. What is the common denominator of w and -73\/33?\nAnswer: 38940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 616 - 8012\/13. What is the common denominator of d and (2\/(-5) + 1520\/(-200) - (-230)\/(-12)) + 4?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -44. Let g = m + 47. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 60 = 4*p. Let b = -10 + p. Suppose -15 = 3*s - 0. Sort 6, b, s in ascending order.\nAnswer: s, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*i - 5*u, 0 = u - 6 + 1. Let w be (6\/i)\/(63\/105). Solve 2*n - 3*c - 4 = n, 5*c = w*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1385 + -769. Suppose -13*h + r = -2*h. What is the highest common factor of 42 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2*y**2 - 2*y**2 - y**2) + 2*y**2 - 3*y + 3*y + 0 + 0 + 2*y**2 - 3 - 2*y**2 + 0 - 11*y + 13*y.\nAnswer: y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 6}. What is prob of sequence fi?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(4 + (sqrt(28)\/sqrt(4) - sqrt(7))**2).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 50. Is 43 a factor of (-6)\/(-4)*((-17920)\/z)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1231*l**7\/70 + 2737*l**5\/20 - 242*l**2 + 2. Find the third derivative of r(w) wrt w.\nAnswer: 88632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -4*m + z*n - 5 = 0, m + 2*n = 8 - 1. Let s be 2*2\/(3 + m). Solve -s + 2 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -4\/3*g**2 - 1\/18*g**3 - 32\/3*g + 4. Factor u(m).\nAnswer: -(m + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-15))\/((-7)\/(-14)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 30*z**4 + 45*z**3 + 20*z**2 - 60*z.\nAnswer: 5*z*(z - 3)*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -4216, -14242, -33770, -65968?\nAnswer: -114004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75074472*r**2 + 94074210*r wrt r.\nAnswer: 150148944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 14*r**2 + 37*r + 55. What is p(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.4, 992833?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4140 and 321720?\nAnswer: 22198680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h**2. Let r(z) = 8 + z**2 - 13 - 5*z**2. Let a(o) = -5*o**2 - 2*o**2 + 11*o**2 - 1 + 4 - 2*o**2. Let y(x) = -5*a(x) - 3*r(x). Give f(y(u)).\nAnswer: 68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2338 + 29*q + 2338.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -453.16 * -0.2\nAnswer: 90.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(342) - sqrt(342)*2)\/sqrt(6))\/((sqrt(3) - ((sqrt(75) - sqrt(3)) + sqrt(3)))*-2).\nAnswer: -sqrt(19)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 3. Let q be g(3). Let s(v) be the first derivative of v**3\/3 + 2*v**2 + 4*v - 263. Calculate the remainder when 47 is divided by s(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 24. Let c be 33*(-1 - 4\/(-3)). Let q = c + a. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75492 = -468*a + 552*a - 166*a - 2015*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.0555 - -0.1105. What is r rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3373 by -12.\nAnswer: 3373\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-26))**(2\/73)\/((p*p**(2\/3)\/p)\/p*p**(-3)*p**(-2\/15)*p**(-4\/7)\/p) assuming p is positive.\nAnswer: p**(44077\/7665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 43 (c) 3 (d) -3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 + -8)\/11)\/((-306)\/(-410652)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 47 + 25. Let m(x) be the second derivative of 2*x**4\/3 - 23*x**3\/6 - 8*x**2 - 216*x. Calculate the remainder when p is divided by m(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 12*n - 30. Let y be d(-4). Let l(q) = 2 + 0 - 577*q**2 + 551*q**y. Let z(o) = 4*o. Calculate l(z(s)).\nAnswer: -416*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/170 - (-2)\/2. Let s = -3\/17 + i. Let y = 1.607 + -3.607. What is the closest to s in y, -4\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/8 - 13\/8. Let i = -4 + 4.5. Let s(z) = -z**2 - 4*z + 7. Let o be s(-5). Which is the closest to f? (a) i (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(567) + 0) + sqrt(567))*4)**2 + 0.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:23 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1178 + -1165. Calculate the highest common divisor of x and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 470*s + 645. What is the units digit of c(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let a(v) = 4*v - 2. Let x(i) = 34*i - 18. Let t(s) = 52*a(s) - 6*x(s). Give t(m(d)).\nAnswer: -4*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-2\/31)))\/v)**(-1\/2))**33 assuming v is positive.\nAnswer: v**(1089\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 675243871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/8)\/((-10)\/68). Let z = 3\/5 + u. Let y = 0.055 - 0.055. What is the nearest to y in 3, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111012112 (base 3) to base 11\nAnswer: -7261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-3 + (-5 - -9) + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/31 + 29\/341. Is v greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let u be (-4)\/(l\/(-1) - 3). Differentiate -3*y**u + 0 + 1 - 2*y**2 + 9*y**2 wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let h be 0*(q\/4 + 0). Suppose h = -0*a - a + 53000. What is a rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 0, 1\/3, -1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:03 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 18*l. Let v(f) = -8*f. Give h(v(u)).\nAnswer: 128*u**2 - 144*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = b - 3*u, -6*u = -2*b - u + 43. Solve 0*a + 4*a + 18 = -y, 3*y + b = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21294029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*1015317\nAnswer: -2030634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5354*g. Let m(x) = -1254*x. What is j(m(o))?\nAnswer: 6713916*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**8\/112 - 48*o**7\/35 - 551*o**6\/10 + 2449*o**5\/10 + 2205*o**4\/8 - 2401*o**3 + 775*o**2. Suppose r(z) = 0. Calculate z.\nAnswer: -49, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 210*x + 7 = 213*x - f, 2*x - f = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2070*y + 2. Let k(z) = -577533*z - 559. Let v(m) = -1118*a(m) - 4*k(m). Let w(j) = -j**2. Determine w(v(b)).\nAnswer: -17040384*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -4\/17, 157602?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 164, 168?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1536258 by 3.\nAnswer: 512086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o - 110.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 365383 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262*k*l**2 - 6*k*l + 25*l**2 - 60 wrt k?\nAnswer: 262*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-421418)\/(-50380) - (-6)\/(-33)). Let c = x + -19\/229. Find the common denominator of c and -17\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from mmkllrrkl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 10*p**2 - 2*p + 14. What is b(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0 - (44 + -45) - -39 - (-14 + 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 27*m**2 - 5*m - 12. Let i be d(-4). What is the greatest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79157*a**3 - 43801*a**2 wrt a?\nAnswer: 474942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/10)\/d*d**(5\/2)*d)\/((d**(-4)*d)\/(d*(d*(d\/(d*d\/(d\/(d**4*d))))\/d)\/d*d)) assuming d is positive.\nAnswer: d**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22103?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**5\/60 - x**4\/4 + 2*x**2. Let d be y(-5). Suppose d*l = 14 + 11. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:09 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 21. Let j = -0.1198 + 17.2198. Let y = s + j. Is y greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -101. Let z be 45\/3*(-2)\/m*-3. Let v = z - -202. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 - 38649*y**2 + 270504*y - 386420 = 0.\nAnswer: 2, 5, 38642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 0, -3, -6?\n\"Answer: -3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77314.18 rounded to the nearest one hundred?\nAnswer: 77300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 444724 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 6, 26265.\nAnswer: 5\/4, 6, 26265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -786074 take away 6?\nAnswer: -786080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2052, -2061, -2118, -2247, -2472?\nAnswer: -2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0476 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 + m**3 + (0*m**2 - m**2 + 2*m**2)*(2*m - m - 3*m) + (-3*m - 1 + 1)*(2*m**2 + 2*m**2 - 2*m**2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2 - (182166 + -6)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*h + 4918 - 5344 - 12726 = 0 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -41001?\nAnswer: 41004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) 1\/5 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731.9435 decades to millennia.\nAnswer: 7.319435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20974, -41863, -62752, -83641?\n\"Answer: -20889*l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279906 + -157873. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121142.\nAnswer: 2, 7, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 7*z, 2*w - 30 = -z. Let y = 66 + -8. Calculate the remainder when y is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 165900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 105556 rounded to the nearest one thousand?\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(1\/4)))**(-6)*(g**0\/g)**(-14\/9) assuming g is positive.\nAnswer: g**(163\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7392554 and 6255238?\nAnswer: 81318094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 5 + 10*x**2 - 11.\nAnswer: 8*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210943741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-907 - 4 - -9) + -3. Let q = -138 - d. Is 46 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2*h**2 - 1. Let b be (8\/(-24))\/(2\/18). Give g(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62965, -126006, -189047?\n\"Answer: -63041*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 - -132. What is the closest to p in -1\/3, 8\/9, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 539 and 917329.\nAnswer: 10090619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (10 + -11 - -48) - (0 + -5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18384 + 35125. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1661975, -3324293, -4986611?\n\"Answer: -1662318*n + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260)*5 - sqrt(1260)) + sqrt(1260))\/sqrt(7) + 4.\nAnswer: 4 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -210. Factor 4*p**3 - m*p**3 + 6295*p + 30*p**4 - 9*p**5 - 6295*p.\nAnswer: -3*p**3*(p - 3)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + 0 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 96\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.45057 rounded to one decimal place?\nAnswer: 97.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 0 + 2*s**2 + 4*s - 7. Let u(v) = v**3 - 5*v**2 + 5*v - 2. Let h be u(3). Is o(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100274, 100246, 100168, 100016, 99766, 99394?\nAnswer: 98876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/1637 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23\/4))**(-13) assuming d is positive.\nAnswer: d**(299\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let j(m) = -1. Let r(d) = j(d) + u(d). Let a(q) = -q + q + 2 - q. Let i(s) = -5*s + 11. Let w(k) = 11*a(k) - 2*i(k). Determine w(r(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(-1) - (822\/(-84) - 5) and 85\/784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41800 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 14 + 4\/(-8))*6. Suppose -10*l + 49 = -k. Let v(d) = -d + 1. Calculate v(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11297338 from -169.\nAnswer: -11297507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:56 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - -0.05. Let z = 2.4 - d. Let r = -0.365 + -0.035. Which is the nearest to -1? (a) r (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -28*b**2 + 5*b**2 + 9*b**2 + 2*b**2 + 7*b**2. Let h(c) be the first derivative of -2 + c**3 + 1 + 0. Calculate s(h(v)).\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 470, 927, 1386, 1847, 2310?\n\"Answer: u**2 + 454*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (1 + 1)\/(206\/40479)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101101010110001 (base 2) to base 5.\nAnswer: -12342041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 - -91. Let b = 37 - n. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.766 + 14.782. What is the second smallest value in -1, y, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 32*o**3 - 9*o**2 + 9*o + 8. List the prime factors of i(4).\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198 (base 13) in base 6?\nAnswer: -15311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1137\/325 + -46\/13. Let f = w + -23\/50. Which is the closest to 0? (a) f (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292656 <= -292556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1753, 3586, 5419, 7252, 9085?\n\"Answer: 1833*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254135 + 19704836.\nAnswer: 19958971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 4*h**2 + 2*h - 3. Let g(s) = 5 - 2*s - 2*s**2 - 2 - s + 3*s**2. Let r be g(3). Give c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3911658951 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253 - 7561653?\nAnswer: -7562126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33160606 (base 7) in base 9?\nAnswer: -5331401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48632.6 and 11239.\nAnswer: -37393.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7))**(-4\/37) assuming d is positive.\nAnswer: d**(28\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 7. Let h(j) = -5*j + 8 + 9*j + 3*j. Let o(t) = 5*h(t) - 6*z(t). Differentiate o(g) with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -9 - -21 - 6 - (5 - -1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11912 is divided by 312.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 254715*o + 2037665. Calculate p(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = 18*y - 77*y - 763 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r. What is the closest to 0.1 in r, 2, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25928228 rounded to 4 dps?\nAnswer: 0.2593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00756123 rounded to 5 dps?\nAnswer: -0.00756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 17*n**3 + 3*n**2\/2 + 3*n + 10. What is the units digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2849*c - 2*c**2 + c**3 - 2862*c - 2 - 3*c**3 as q*c**2 + d + a*c + v*c**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -41. Suppose -3*w = -m + 117, 2*m = -2*w - d - 21. Let s = 5 - w. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 3*g**3 - 7*g**3 + 5*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 4 - 2*q + 0 + 6*q + q**2. Let j be u(-7). Factor 1\/2*g + 1\/4 - 1\/4*g**4 - 1\/2*g**j + 0*g**2.\nAnswer: -(g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99427\/7 - 14204. Is -2.1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34815 - -34811.6. Put 2\/5, 5, -4, c, 2 in ascending order.\nAnswer: -4, c, 2\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -396, -767, -1114, -1425, -1688, -1891, -2022?\n\"Answer: 2*q**3 - 385*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*y + 16, -y + 11 + 0 = 3*t. Let f(c) be the third derivative of -1\/30*c**5 + 0 + 0*c + 0*c**t - 7*c**2 + 0*c**4. Let l(g) = -4*g. Give l(f(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*z + 1622 - 1622)*(-5*z - 5*z + 4*z + z**4).\nAnswer: 111*z**5 - 666*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 28. Suppose -x*o + 4*y = -6*o - 10, 0 = -4*o + 5*y + 23. Suppose u - f = -9, f + 0 = -o*u - 12. Is u less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 = b - 0*b, 3 = -3*b. Let g = -1 - k. Find the third derivative of y**2 - y**3 - 3*y**g - 5*y**2 + 2*y**2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.33 - 0.33. Let w = 8 - o. Which is the second biggest value? (a) 0.2 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)*v\/(v*(v**(4\/9)\/v)\/v*v*v))**18*(((v\/(v\/(v**(-2\/3)\/v)))\/v)**(-13\/4))**11 assuming v is positive.\nAnswer: v**(1942\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 + 59453?\nAnswer: 59501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Let b be (5 - m)\/(1\/3). Let c(p) = 1. Let o(s) = -3*s - 3. Let k(h) = c(h) - o(h). Give k(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Suppose i*w - 7961951 = -66161951. What is w rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 12*y**2 + 5*y - 2. Let k(b) = b**3 + 5*b**2 + 3*b + 1. Determine 2*k(a) - z(a).\nAnswer: a**3 - 2*a**2 + a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16909 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-19)\/(-76)*(-54)\/729?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 6. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/253 and 111264\/12236 + (-7 - 2)?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165582\/5 + -33257. Let m = -141 - h. What is the biggest value in 3, 1\/4, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 16) in base 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/26 - (0 + -1). Let r = -0.54 - 0.06. Let h = r + 0.7. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1 - (sqrt(576)\/sqrt(3) - sqrt(12)))\/(-6*(sqrt(6) - sqrt(216)*-2)) + 0.\nAnswer: sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31050166, 62100314, 93150462, 124200610?\n\"Answer: 31050148*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 82 = -4*g - 75, 2*g - 4 = 0. Let z = 48 + q. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50d13 (base 15) to base 4\nAnswer: -332201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*x - 1053*g**2 - 85*g*x wrt x?\nAnswer: g**2 - 85*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-127)\/124*84\/(-126) + (4 - (-112)\/(-24))\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - (-3 - (1 - 1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200137 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m - 750. Give g(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00101734754 rounded to six dps?\nAnswer: -0.001017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 20 (c) 0.4588 (d) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose y = -2*x - 3*x + 10. Suppose 5*r = x*r + 6. Solve r*o - 5 + 1 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 2. Let o be i(7). Let j(s) = -s**2 - 6*s + 1. What is the remainder when 10 is divided by j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*1)\/sqrt(5))**2 + (sqrt(22) - (sqrt(22) + 2*sqrt(22)))\/sqrt(2).\nAnswer: -2*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.28 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**4 + 3*j - 724*j**2 + 2*j**4 - 1 + 711*j**2 - j in the form r + g*j**3 + w*j**2 + t*j + d*j**4 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4505 - 2251 + 24837 = -369*s for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 81 and -2.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10096390 divided by 5048195.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938 is divided by (-775)\/(-8) - -2*8\/128?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/15?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*o - 2, 4*c = -4*o + 3 - 7. What is the closest to c in 0.1, 2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 229, 411, 535, 601, 609, 559?\n\"Answer: -29*m**2 + 269*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {r: 1, h: 4, a: 3, l: 1, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b = 5*b - 2367 - 14853 for b.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 24, 4, -298, -4.\nAnswer: -298, -58, -4, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 3 (b) -1.5 (c) 1115\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 17. Is (-23*(-55)\/15)\/(2\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 38 + 38.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/10*52*(-2)\/(-6). Let l(a) = a**2 - 27*a + 24. Let t be l(y). What is the units digit of (0 + -5)\/5*t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3298680 and -197\/33316668?\nAnswer: 333166680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 208*j + 192. Let s(g) = -13*g**2 - 627*g - 572. Let x(n) = 4*s(n) + 14*z(n). Suppose x(t) = 0. Calculate t.\nAnswer: -100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from oooooooeeooooeow?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338606740 divided by -5.\nAnswer: -67721348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*k - 114 = -3*k, 2*t - 3*k - 83 = 0. Calculate the remainder when t is divided by (26\/6 + 0)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-229*h + 235*h + 275*h + (0*h + 2*h + 0*h)*(4 - 1 - 1))*(-2*h**2 + h**2 + 5*h**2) to a*h**2 + f*h**3 + o + c*h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2423*z + 39777 - 39779 + 920*z as o + i*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*g - 433 - 152 + 147. Which is the second smallest value? (a) 4 (b) g (c) 4\/107 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (180\/(-16))\/(3\/(-8)). Suppose 2*r - 7*r = 45. Let g be (-29)\/r - 4\/18. What is the greatest common divisor of u and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*a*t**3 - a*t**2 - 527*a + 3*t**3 wrt t?\nAnswer: -156*a*t**2 - 2*a*t + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b + 22*b - h - 7, 0 = -b - 2*h + 6. Let a(k) be the second derivative of 1\/3*k**b + 0*k**2 + 4\/3*k**3 - 8*k + 0. Find l such that a(l) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 15)\/((-3)\/(-4)). Let i(f) = f**3 + 4*f**2 - 2. Let j be i(v). Is -1*(-213 - j\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 424.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, c: 1, s: 12}. What is prob of picking 2 s?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:13 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -159344, -318681, -478018, -637355, -796692?\n\"Answer: -159337*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107.99999827 - -108. Round v to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119023.\nAnswer: 41, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*v - 3249, -q = 2*v + 279 - 2444. List the prime factors of v.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -0.1, 182\/9, 0, 59\/5, 7, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1975, -3654, -5333, -7012?\n\"Answer: -1679*a - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2 + 9*n - 9. Let s(l) = -3*l**2 + 5*l - 5. Let r be 42\/(-56) + (-14)\/(-8). Let f be ((-14)\/((-28)\/(-18)))\/r. What is f*s(h) + 5*v(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -135. Let y = u + 107. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20491786 is divided by 184610?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161208 divided by -171.\nAnswer: -17912\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11434*a - 11240*a - 388. What is q in 0*q**a + 1\/4*q**4 + 0 + 0*q - 1\/4*q**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29078218 rounded to 3 decimal places?\nAnswer: 1.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/12 - 7*f**3\/9 + 5*f**2\/6 + 25*f - 743. Let z(l) = 0. What is l?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1573) - (1*(sqrt(1573) + -1) - sqrt(1573))) + -5 - (sqrt(1573) + 0 + sqrt(1573))*3*-3*-1)**2.\nAnswer: 1496*sqrt(13) + 454613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 6*b**2 - 5*b**2 + 4*b**2 + 5*b - 23 + 13 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**8\/1176 - j**6\/210 + j**4\/84 + j**2 + 2. Let c(z) be the second derivative of m(z). Factor c(s).\nAnswer: 2*s*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-23)\/(a**(-2\/7)\/a**(-7)))\/(((a**(-2\/7)*a)\/a*a*a**(-4))\/(a**(-2\/11)\/a**(-7))) assuming a is positive.\nAnswer: a**(2032\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101\/329 + 1\/47. Let p = -1.413 - -0.413. Suppose 1 = 3*h - 11. What is the smallest value in h, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w + 86. Let a be t(-9). Suppose -a*n - 1098 = -3*h, -5*h + 1830 = 2*n - 4*n. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.02 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-13))\/t)\/t*t*t**(2\/25))\/((t**(-1\/2)*t)\/t)**(-46) assuming t is positive.\nAnswer: t**(-898\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34516634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348132350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1606 - 1142. Calculate the greatest common factor of x and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-4\/3)\/m))**38\/(m**16\/m**(-8)) assuming m is positive.\nAnswer: m**(194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + 0 + 0)*(-2*u - u + 4*u - 4*u - 3 + 3 + (1 - 3 + 0)*(3*u + 3*u - 4*u)) to i*u + a*u**3 + d + l*u**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:45 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.8. Let j = -0.3 - -0.5. Let n = -0.21 + -0.19. Which is the closest to i? (a) 1\/6 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1742955232 to the nearest integer?\nAnswer: 41749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b101 (base 12) in base 2?\nAnswer: 1001011100011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19201439\/155320 - -1\/38830. Let t = n - -124. Let d = 0.6 - 0.1. What is the closest to -4 in d, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let w(i) = 3*i**2 - 6*i**2 - i**2 + 2*i**2. Determine w(d(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2050 + -2045. Solve -4*o - l*q = -5, 14*o + 3 = 10*o + 3*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 45.06. What is the biggest value in g, 5, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a - 100. Let j be b(-18). Let r be ((-624)\/10)\/(j\/(-20)). What is the highest common divisor of r and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27408.43 millilitres?\nAnswer: 27.40843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - -2335?\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let b(l) = -7*l**2 + 15*l. Let z(x) = b(x) - k(x). What is the second derivative of z(m) wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 + 5. Let n be r(0). Suppose -n*h + 3*h = -24. Is 2\/6 - (-1424)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19504 + 19504 + 7746*w)*(-4 - 3 + 6)*(0 - 3 + 2) to the form r + x*w and give x.\nAnswer: 7746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from eeeeeereree?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*l + 24, -5*b + l - 2*l + 14 = 0. Let h be (9\/3 - -1)\/4. Let v = 6 - h. Sort -4, b, v in descending order.\nAnswer: v, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/v**15*v*v*v))\/(v\/v**(-17)))\/(v**(-4))**24)**(5\/14) assuming v is positive.\nAnswer: v**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0*y + 5*i + 45, 5*i = -y - 15. Solve -2*x + 2*u = -u + 4, y*u = x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-13)\/((-130)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25400 > 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18.6 - -8134.703278\nAnswer: 8153.303278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -3. Let i be 36\/u - (-2)\/(-4). Sort 5, 1, i in increasing order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**8\/28 - 221*k**6\/10 + 160*k**4\/3 - k**2 - 2*k - 79. What is the third derivative of s(w) wrt w?\nAnswer: 240*w**3 - 15912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 28*d + 5*k = -29, -d + 29 = 3*k. Solve -2*f + 25 = d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3382225993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6 + -1)*(31 - (-1320)\/(-42)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96702 and 4540.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -2, -17, -2\/31, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b - 98 = 0. Let d = b + -583\/6. Sort 5, d, -0.1 in decreasing order.\nAnswer: 5, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*t = 100, -4*t + 78 - 8 = k. Is 30 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26008.03 micrometers?\nAnswer: 2.600803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173437208.\nAnswer: 2, 3, 29, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a + 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15628 is divided by 1976.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1164 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 <= -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -705 - -1180. Let u = q + -139. Does 42 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/(-45) - (-6)\/54*6. Let n be 9\/6 + 3 + -4. Which is the second smallest value? (a) f (b) -8 (c) 12 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (-42 + -10 - -30)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -53, -54, -37, 4, 75, 182, 331?\n\"Answer: g**3 - 20*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -116. Let m = x + 55. Sort m, -0.1, 0.5 in decreasing order.\nAnswer: m, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 1. Let a be l(-1). Let k be 4 + -2 + (-3 - a). Let h be 20\/(-8)*(-2)\/1. Sort h, -3, k in increasing order.\nAnswer: -3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = -4*y + 1, -2*y + f + 11 = 0. Let n be -13 + (-9)\/(-3) + -5. Let q be (-9)\/(-12) - n\/(-4). Sort q, -4, y.\nAnswer: -4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 11*j + 3. Let z(r) = -r**3 + r**2 - r + 1. Let m(l) = -6*l**3 + 5*l**2 + l + 5. Suppose 153 = -5*d + 178. Calculate d*z(t) + j*m(t).\nAnswer: t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -65*n. Let w(t) = 4*t**2 - 339*t. Calculate w(a(q)).\nAnswer: 16900*q**2 + 22035*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*i + 31*i + 179*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(170) + sqrt(170)*2)\/sqrt(10))**2 + 1)*-3 + 4.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 116*q**2 - 363*q - 716. What is x(-119)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.603 - 0.203. What is the closest to 2\/5 in 1, v, 0.5, 92?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 202 and -4295.\nAnswer: -867590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 134. Calculate the highest common divisor of 735 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4a415 (base 13) to base 15.\nAnswer: 510a5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -779 by 779.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631151.\nAnswer: 631151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292026 and 13088.\nAnswer: 4672416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 125, 121, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 + 0.157. Let c = i - -5.023. Let p = 71 + -71.2. What is the third biggest value in 1\/3, c, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85.2244 + -0.0244. Let k = -89.21 + l. Let g = -4 - k. What is the second biggest value in 0.5, g, 0.4, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 31*h**2 + 82*h - 5. Let a be l(-15). Calculate the greatest common divisor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-70) - 8781\/(-42). Let a be 3 - 2 - 275*-4. Suppose a = 4*h + x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1926*f - 1924*f - 11 - 3 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2229 + 1.2229. What is the nearest to h in -0.6, -23, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 29*r + 19. Let a be h(30). Let d(q) = -156*q**2 - 11*q. Let f(l) = -31*l**2 - 2*l. Calculate a*f(j) + 2*d(j).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/6 - (4 + -2). Suppose -o - n = -166 + 150, 5*o + 2*n - 56 = 0. Which is the biggest value? (a) 3 (b) -0.5 (c) o (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2. Let f = 9 + -14. Let p(c) = -7*c**3 - 7*c**2. Suppose 3*u - 4 = -u. Determine f*n(h) + u*p(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or -191?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 472 and 6844.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/2 - 5*z**3\/3 + 5*z**2 - 12*z. Let i(d) = 2*d**2 + 3*d - 3. Suppose 0 = -5*w - 0*w - 50. Determine w*i(n) - 3*g(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 2\/13 (b) -4 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -1236, 5 in descending order.\nAnswer: 5, -4, -10, -1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147 by 200.\nAnswer: -1147\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.921?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 4*q - 6*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 0*o + o**2 + 3 + o in the form y*o + l + a*o**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*g**3*y**4 + 2*g**3*y - 4*g**2 - 40*g*y**5 + 53*g*y - 4*y wrt y.\nAnswer: 996*g**3*y**2 - 800*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.2000005. What is b rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-285)\/10)*3*(-10)\/9\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 92 - 1?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 178*a + 175*a = -4, 4*a = 3*z + 26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3110 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 53. Let d be t(6). Suppose -d + 85 = 31*y. Solve y = -19*q + 21*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r + 21. Give t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-18)\/60). What is the greatest common factor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -21. Which is the closest to -1? (a) l (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1377) - (-3 + (1 + sqrt(1377) - sqrt(1377)) + sqrt(1377)))**2*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 - 44749084*m**2 + 125155054801980*m - 125155010052900 = 0.\nAnswer: 1, 5593635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/((-638)\/352)*3*(-1)\/(-44)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:17 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7678, 14034, 20390, 26746, 33102, 39458?\nAnswer: 45814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 83122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + g**3 + 4*g**3 - 3*g**3 - 2*g**3 + (3*g**3 - 3*g**3 - 2*g**3)*(-1 + 3 - 3) + 65 - 65 + 88*g**3 + (-4 - 2*g**2 + 4)*(-6 - 6*g + 6).\nAnswer: 102*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, -5, -731, -29, 4.\nAnswer: -731, -29, -5, -4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {m: 1, q: 2, k: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b. Let g(t) = t**2 + 9*t - 51. Let c be g(4). Sort c, -4, b in descending order.\nAnswer: c, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630522.8 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - u - 40 + 26 = 0, 0 = 4*a + 3*u + 2. Let b(k) = -k**3 + 3*k**2 + 7*k - 13. Calculate b(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 8*j - 7. Let m be p(-6). Factor -m*b**2 + b**2 - b - 2*b**4 + b**5 + 6*b**2.\nAnswer: b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -840 in 0.5, 0, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -292818, -585483, -878148, -1170813, -1463478, -1756143?\n\"Answer: -292665*d - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 597929041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 3 (b) 597 (c) 0 (d) -4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-11*b**2 + b**2 + 3*b**2)*(-2 - b + 2).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 2, -1\/4, 4\/5, -1 in decreasing order.\nAnswer: 2, 4\/5, -1\/4, -1, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w**4 - 3*w**3 - 60*w**2 - 36*w.\nAnswer: 3*w*(w - 3)*(w + 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10006 to 3 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22*w + 15. What is b(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.2878 - 11.312. Let q = l - -0.0242. Which is the second biggest value? (a) -1\/4 (b) q (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -4\/3, 0.5, 273.91, 728 in increasing order.\nAnswer: -4\/3, 0.1, 0.5, 1, 273.91, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 554613581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 31. Let q be (-71)\/(-2)*(6 - n). Round q to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2081 at most as big as -74941\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*sqrt(18)*-2)\/((-2*sqrt(63))\/sqrt(7)) + (sqrt(88)*-1 + sqrt(22))\/(3*(sqrt(22)\/sqrt(2) + sqrt(11))))**2.\nAnswer: 343\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1, 42447, -0.3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.06 (b) 0 (c) -2\/21 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*n - 3*r - 0, -4*n = 3*r - 28. Suppose -s = -n*f + 26, s + 10 = -4*s. What is the common denominator of 38 and (f\/9)\/((-4)\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - x, -4*x - x = -h + 24. What is the second derivative of -15*b + h*b**2 + 13*b**2 - 4*b**2 wrt b?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4. Let h(d) = 6*d**2 + 20*d + 59. Let x(w) = w**2 + 3*w + 9. Let c(o) = 2*h(o) - 13*x(o). Give 2*c(y) - s(y).\nAnswer: -y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*z**2 + 141 + 38*z**2 - z - 141 - 280*z**2 to the form s*z + f + w*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 221731.8 and -1?\nAnswer: -221731.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85520 is divided by 42753?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-16) - 4\/16. Is (k + 3 + -6)*2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 649 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*l - 68, 1 = 4*l - 7. Find the common denominator of q and 4\/18 + 10\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2184040 and -846.\nAnswer: -2184886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -35*(-35 + ((-64)\/12 - (-96)\/72)) is divided by 112?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 30*o**2 + 9*o + 18. Let d(s) = s**3 + 6*s**2 - 2*s + 4. Let h be d(-7). What are the prime factors of v(h)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30304*g**2*i*z + 36*g*i**2*z**3 - 3*i**2*z**3 + i**2*z**2 - 4*i - 595*z**3 - 7 with respect to g.\nAnswer: 60608*g*i*z + 36*i**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 755704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*g - 2, -r - 8 = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysesemyyyyyyyeeymss. What is prob of picking 1 m, 1 e, 1 y, and 1 s?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -40*-3\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328 + -327.8. Which is the nearest to -0.2? (a) l (b) -10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38744*r**5 + 214*r + 54 wrt r.\nAnswer: 774880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + o**2 + 3*o**5 - 5*o**3 + 3*o + 3*o - 4*o - 3*o**4.\nAnswer: o*(o - 1)**2*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -634\/17 (c) -6 (d) -0.071 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3540098 is divided by 10599.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2000000 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + v**3 + 0*v**2 - 15*v**2.\nAnswer: -13*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5234 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j + 13*j)*(-4 + 1 + 5)*(0 + 1 - 3)*(-3 + 2 + 3).\nAnswer: -104*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14*(64\/28 - 2). Let t(u) = 2*u - 9. Let b be t(7). Put o, b, -2 in decreasing order.\nAnswer: b, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 18. Let n(f) = -3*f - 54. Let j(h) = -n(h) - 3*o(h). Let l(q) = 110*q. Let p(w) = w. Let m(s) = -l(s) + 30*p(s). Calculate 55*j(k) - 2*m(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/6*6\/(-4). Let g be n\/8 + (-7)\/(-2). Suppose 8*x = g*x + 196. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65072 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2432, 4163, 5894, 7625?\nAnswer: 9356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 37*x**2 + 54*x - 1. Let h be t(35). Let r = 234 + h. What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 3 + 4*w + w)*(65*w**2 - 576 + 576) to s*w**3 + p*w**2 + q*w + l and give p.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuwuuuuwuuuuuuu. Give prob of sequence uww.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 18*u + 66. Let w be a(13). Let y = -21 + 11. Let x = y - -8. Put 3, w, x in descending order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.963 and -26.\nAnswer: -26.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*d**3 + 120*d**3 - 22*d - 243*d**3 + 22*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/3 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623.4834 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123, -1119, -4483, -11031, -21825, -37927?\n\"Answer: -177*i**3 + i**2 - 6*i + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11547972 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 446644 (base 7) to base 2\nAnswer: 10011010101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3 - 2. Let q(o) be the first derivative of o + 1\/2*o**2 + 4\/3*o**3 - 24. Calculate q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45704 = -72*t + 860*t for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3 - (-4)\/2. Let w = 33 - 32.9. Let o = 2.48 + -2.59. What is the nearest to w in n, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27697429 to the power of 1\/2, to the nearest integer?\nAnswer: 5263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 5*h - 3. Let v be a(-5). Let g(r) = r**2 + 4*r - 2. Let m be g(v). Let w(u) = -u - 3. Give w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*j - 1687, -24*w + 1722 = -23*w + 3*j. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - y**2 + 2*y**2)*(0*y + 5*y - 3*y)*(-71 - 229 - 7).\nAnswer: -614*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -77, -172, -305, -476, -685, -932?\n\"Answer: -19*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15))\/(1\/(-45)). Let p be 86\/d + 1 + 4. Let a = -0.1 + 0. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {s: 2, o: 4, a: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -52*p**2 + 11923*p - 11926. What is h(1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5 - 4, 0 = -2*u - 4*p + 850. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5376167l to millilitres.\nAnswer: 537.6167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6. What are the prime factors of (-20)\/(-2) - v*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -82*t**3 - 3*t**2 - t + 2. Determine k(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**3 - 1300*h**2 + 8115*h + 35910 = 0.\nAnswer: -266, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from fbbbfbf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.13, -3\/2, -0.4, -6, -358, 17, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002665794 rounded to six dps?\nAnswer: 0.002666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j**3*o**2 + 3*j**3*o - 2*j**3 - 4108*j**2*o + 6*j*o**3 - 8403*o**2 - 1 wrt o.\nAnswer: -24*j**3 + 36*j*o - 16806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 1595 = -11*f. Let z = 150 - f. Solve -5 = -z*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206 - 350. Let d = 181 + k. Suppose v = -u + 112, 0 = -4*v + u - 3*u + 446. Calculate the highest common factor of d and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 25*b - 18. Suppose 78 = -108*t + 105*t. Determine i(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334160441.\nAnswer: 79, 97, 43607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 17*a - 6 = 0. Put 1\/3, -0.1, a, -0.5 in descending order.\nAnswer: a, 1\/3, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 7. Let w be (-4)\/q + 11\/2. Is (-2)\/5 - (-637)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1686 * 127574\nAnswer: 215089764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/26073 + -17728\/4510629. Let o = u + -2579\/4152. Find the common denominator of o and -54\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 18 - 18)*(-2*t + 14*t - 2*t).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.2. Let r = 0.011 - 0.011. Let f be 5*(-1)\/((-5 + 3)\/(-2)). Which is the nearest to g? (a) -0.2 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -795134?\nAnswer: -795140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.08215 + -51942958\nAnswer: -51942958.08215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*((1*sqrt(432) - sqrt(432)) + sqrt(432)))**2 + 1.\nAnswer: -192*sqrt(3) + 1745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003146566563 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/10)\/(1\/2). Let k be -48*2*(n + -26). Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274795883551 + -0.045.\nAnswer: 274795883550.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/720500773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 11 = -17. Sort 2.6, 2, w, 0.1 in decreasing order.\nAnswer: w, 2.6, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4505 + 4519 + (-12 + -1 - (-2 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/80)\/(10860\/(-5792)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - 122002101?\nAnswer: -122011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095835?\nAnswer: 5, 7, 233, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 59*p - 187 = 0. What are the prime factors of p?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-70)\/(-25)))\/((-10)\/14)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 45*w**2 + 14. Determine s(-45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2749385532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26628, -53222, -79806, -106374, -132920?\nAnswer: -159438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 3*u + 66. What is the highest common divisor of u and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (33 - 19 - -10) - -16.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16206257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 4880.1 and 399456.\nAnswer: 404336.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - l = -76, 2*i - 5*l = 5*i - 28. Let k(z) = -z**3 + 15*z**2 + 16*z + 27. What is the remainder when 52 is divided by k(i)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*j**6 + j**4 - j**3*t**2 + j**2*t**2 + 134*j**2*t wrt j.\nAnswer: 6600*j**3 + 24*j - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/(-4))\/(537 + -534)*2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 7*i**2 + 11*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 5:46 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, -5, -0.03 in descending order.\nAnswer: 2, 0, -0.03, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 502*k**2 + 27878*k + 27378.\nAnswer: 2*(k + 1)*(k + 81)*(k + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -144, -143, -142, -141?\n\"Answer: z - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2551137035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 6*h**2 - 2*h**2 + (-5*h + 3*h + 4*h + 1 - 1 - 3*h + 2*h - 2*h + 3*h + (0 - 1 - 1)*(1 - 1 + 2*h))*(3*h - h + 3*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 12*g**3 - 3*g - 14*g**3.\nAnswer: -2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.99 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16900?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 5*l + 96*i - 109*i - 10 = 0, -32*l - 31 = -8*l - 3*i + 218 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1299 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5831210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.382 + -0.082. Let o = 7.3 - q. Let l = 0.21 - -10.79. Is o at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0) + 5 + -1 + -1. Suppose -5*l + 0*l - c + 21 = 0, -y*l + 25 = 5*c. Is 4 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 2. Let x(y) = -43*y + 215. Let t(p) = 2*p - 5. Let f(b) = -43*t(b) - x(b). What is the tens digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.051517.\nAnswer: -0.948483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*n**5 + 2*n**3 + 4*n - 3?\nAnswer: 540*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 145*m - 142*m - 7, 0 = -s + 5*m + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**36)**(29\/5)*((r*r**1)**(3\/5))**29 assuming r is positive.\nAnswer: r**(522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84470 or -1446?\nAnswer: 84470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23694, -47002, -69928, -92478, -114658?\nAnswer: -136474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*l**3 - 15*l - 151*l**3 - 16*l + 49*l - 18*l.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846309600 to the power of 1\/2, to the nearest integer?\nAnswer: 42969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -k + 6189, -5*k - 2*p + 13170 = -17667. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1015, 1075, 1183, 1345, 1567, 1855?\n\"Answer: h**3 + 18*h**2 - h + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.41709959 - -72127.41729959. Let u = 72100 - o. Let q = -20 - u. Round q to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9724 + 9814. Let l be (6 + -1)\/((-2)\/(-54)). Calculate the highest common divisor of k and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(39\/(-33) - -1). Let i(z) = -z**2 + 14*z + 15. Let f be i(q). What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1553\/2 - -776. Which is the smallest value? (a) -4\/9 (b) 0.06 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*z - 3, 9*b - 3*z = 12*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/183 + -4976\/915. Let s = 69\/10 + f. What is the nearest to 2\/19 in s, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + j)*(11*j + 14*j + j) - 3 + 3 + j**2 + (5*j**2 + 2*j**2 - 4*j**2)*(0 + 1 + 1) - 2*j + 2*j**2 + 2*j + (-j - 3 + 3)*(j - 2 + 2).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (6 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**4 - 4*s**2 + 4*s**2 - 8*s**2 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047582 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139416 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/15)\/((-4)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -15. Let o be h\/((-5)\/(-1910)) + -4. Does 12 divide o\/(-4) - 10\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 275, 397, 517, 635, 751, 865?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0365, -1452\/7, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (2 - 1) - (-9)\/(-108)*-88. Factor 2\/3*x - d*x**4 + 4\/3 - 6*x**2 - 26\/3*x**3.\nAnswer: -2*(x + 1)**3*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-d - 2*d**2 + d) + 4*d**2 - 22*d + 22*d + 9*d**2 - d**2 + 9*d**2.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -11*o + 10*o. Let b = 13 + -4. Suppose -3*k + 8*k - 4*r - b = 0, -5*k - 4*r + 41 = 0. Sort -1, o, k in ascending order.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 7*a - 5. Suppose -o + 6 - 1 = -2*h, 2*h + 5*o + 35 = 0. Determine p(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(1053) + 3))**2 + -4 + (sqrt(1053) + sqrt(1053) + 2 + sqrt(1053))**2*-3 + 0 + (2*sqrt(1053))**2.\nAnswer: -7371 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2466601292 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -314272000 rounded to the nearest 100000?\nAnswer: -314300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:03 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 46*g - 222*g - 402 + 218.\nAnswer: -268*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-65))\/(-2*(-2)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d**3 - d**2 - d - 1. Let j be m(-1). Let h(l) = -3 - 2*l + 4*l**2 - 3*l**2 + j*l. What are the prime factors of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2365 (base 14) in base 2?\nAnswer: 1011111010010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5392 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.491 - 0.75. Let f = -0.259000117 - p. What is f rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*k**2 + 1\/5*k + 0.\nAnswer: -k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 151048*z**2 + 23*z - 1. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11\/28 and 0.268 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(44) + -4 + -2.\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5255829141 to the power of 1\/2, to the nearest integer?\nAnswer: 72497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 208*n**2 - 39. Let s(x) = -11*x**2 + 2. Suppose 6*a - 1576 + 1564 = 0. Calculate a*u(d) + 39*s(d).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a*h**2*u - 46*a*h*u + 2*a*u**2 + 9*h**2*u**3 + 2*h**2 - 34*h*u**3 wrt h?\nAnswer: -20*a*u + 18*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/6*(0 - 56).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220221100 (base 3) to base 14.\nAnswer: db27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z + 106. Let k be x(21). Let j(o) = -2*o - 14. Let u(q) = 1. Calculate k*j(y) + 12*u(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6112393 divided by -6112393.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116539.\nAnswer: 116539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from mssmmmmammaass.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 5*a**6\/18 - a**5\/6 + 44*a**3\/3 - 118. Let h(v) be the third derivative of l(v). What is the second derivative of h(t) wrt t?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.1 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107406 and 1552746.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 6. Let i(t) = -5. Let c(j) = 5*i(j) - 4*v(j). Suppose -2*k = -0*k - 10. Suppose 1 = -x + 4*p + 6, -4*x + k*p = -9. Calculate c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11110101000?\nAnswer: -11110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-130)\/(-195))\/(20\/(-6))*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113170 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48006314 divided by 5?\nAnswer: -48006314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 183. Let t(o) = v + 134*o - 1 - 137*o. Let g(f) = 13*f**2. Calculate t(g(m)).\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 5*l = 0. Suppose l = -5*y + 5*u + 595, -466 = -4*y - 0*u - u. Let t(h) = 3*h + 39. What is the remainder when y is divided by t(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779.31 smaller than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.73 + 1.73. What is the nearest to -1\/13 in -3, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*p - 32 + 30 = 0, -d - 2 = -p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -335 (base 8) to base 11\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424752566 and 1834?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 + 5. Let g = 43 + -61. Let k = -11 - g. Which is the closest to 0.1? (a) v (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.4 - 3.4. Let r = -16.9 + n. Sort 1.3, -3, r in decreasing order.\nAnswer: 1.3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 - -2. Suppose 6 = z - 0*z. Let n be 1\/2*(-12)\/z. What is the third smallest value in -2, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358048685?\nAnswer: 5, 113, 5943449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12873, -12823, -12723, -12561, -12325, -12003?\nAnswer: -11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/13 - 10510128*n\/13 - 13807848822048\/13 = 0. Calculate n.\nAnswer: -2627532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202046 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 180, 267, 354, 441?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 25*g + 4. Let v be n(8). Let y = v - -85. Calculate the greatest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, k: 9, x: 2}. What is prob of picking 3 k and 1 x?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*m = 8, 0 = 4*w + 3*m - 2. Suppose -s + 4 + 6 = 3*v, 5*s = v + w. List the prime factors of (-1 + (-3)\/15)\/(v\/(-300)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627927?\nAnswer: 7, 33223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1418543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000084901 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c**2 + 403*c + 87. Give y(7).\nAnswer: 3398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/11 (c) 0.1 (d) -9 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = 52*s - 68 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 plus 0.208784?\nAnswer: 0.267784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15954 - 1a?\nAnswer: 15939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 182.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*v - 2*r - 10, 0 = 2*v - r - 4. Let c = -3 - -2. Let a(p) = p. Let o(i) be the first derivative of i**2\/2 + 3. Give c*o(f) + v*a(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/4 - -6)*(-1)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Let w(o) = -o**3 - o**2 - 4*o + 8. Let k(q) = -3*g(q) + w(q). What is k(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u**3 - 58*u - 7. Let q(m) = -9*m**3 + 39*m + 5. Determine 5*i(a) + 7*q(a).\nAnswer: 2*a**3 - 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 902*p**3 - 6*p**2 + 8*p - 4. Let s(c) = 2*c**3 + 2*c**2 - c + 1. Let n(m) = -j(m) - 4*s(m). Find the third derivative of n(y) wrt y.\nAnswer: -5460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 23*l - 20. Determine t(19).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.237601 to 3 decimal places.\nAnswer: -1.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + v - 6 = -26, 4*p = 2*v - 8. Is -17*(8\/2)\/p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(612)*2 + sqrt(612) + sqrt(612) + sqrt(612)*3*-4)**2.\nAnswer: 244804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8829? (a) -5 (b) 1\/4 (c) 3\/2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508156, -508157, -508158, -508159?\nAnswer: -508160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 16, 48, 100, 178, 288, 436?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s**2 + s + 5. Let g(a) = -a**2. Let r(y) = -f(y) + 3*g(y). Let d(v) = -16*v**2 + 4. Let o(n) = -3*d(n) - 2*r(n). What is the units digit of o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52533, 104981, 157329, 209577, 261725, 313773, 365721?\nAnswer: 417569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -191 - -191eb1?\nAnswer: 191d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94818, -189628, -284434, -379236, -474034, -568828, -663618?\nAnswer: -758404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 3}. What is prob of sequence ooop?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 46. Let k be v(60). Put k, 0.11, 3 in increasing order.\nAnswer: k, 0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 314. Let q be (5 + (-55)\/g)\/((-1)\/(-1)). Factor 3*o + 1 + q*o**2.\nAnswer: (3*o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323457 (base 8) in base 15?\nAnswer: -74b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 8*o - 571. Suppose -31*d = -41*d + o. Solve -d*l - 14 = y, -2*y = 4*l + l + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12313 (base 4) in base 15?\nAnswer: -1e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*t)*(t + 2*t**2 - t**2 - 2*t**2) in the form y*t**3 + x*t + m + s*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-12 - 2) - 2. Suppose -x*m = -7*m - 18. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386571?\nAnswer: 3, 128857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-33 + 41))*15\/42*-1?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 5. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 26*s - 39*s - 180 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1045399075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 + 2*w**2 + 2*w + 1. Let x(u) = -2*u - 6. Let f be x(-5). Suppose 8 = -f*a + 4. Let j be y(a). Solve m = -0*m + j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4635693ng to milligrams.\nAnswer: 0.0000004635693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 854080 divided by 5440?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42452 divided by 118?\nAnswer: 21226\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 16534908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2\/13, 5, -0.1, 1\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.43 times 628?\nAnswer: 140314.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.703 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-80)\/(-6) - (-20)\/60. Is a greater than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521194134.\nAnswer: 2, 3, 31, 199, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18812 + -5?\nAnswer: 18808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.5. Let d = 0.4 + u. What is the third smallest value in -0.3, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4505701908 + 0.25119?\nAnswer: -4505701907.74881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 219160\/(-320) - 1\/8. Let u = j + 1348. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 11*m + 255 = 0. Let c be 2\/(-6) - 68\/m. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -80718, -4\/5, -4, 0.3, 1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 50*d**2 - 5 - 4.\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**3 + p**2. Let l be ((-18)\/8)\/(6\/(-16)). Let x(y) = -9*y**3 + y**2. Let v(s) = l*x(s) - 5*i(s). What is the third derivative of v(b) wrt b?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}