diff --git "a/data/dm_maths/full_data_2/132_11255.jsonl" "b/data/dm_maths/full_data_2/132_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/132_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 2.285101 years in centuries?\nAnswer: 0.02285101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 42*q - 47*q - 46 = 0, -5*p = -3*q - 64. Solve -8 = 2*w - p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - q - 3111 = -0*z, 2352 = 3*z + 3*q. Is z a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69657.34 or 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6528010 and -103\/49050.\nAnswer: 293760450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 701310501 - 474113068. Let t = k - 227197439.34000606. Let o = t + 6.34. Round o to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7579 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**8\/240 - a**4\/4 + 3*a**3 + 24*a. Let h(m) be the second derivative of t(m). What is the first derivative of h(z) wrt z?\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14092 plus 47.61?\nAnswer: 47.75092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**7\/105 - a**6\/18 - 2*a**5\/15 + a**4\/2 + a**3\/6 - 5*a**2 + 16*a. Let b(q) be the second derivative of h(q). Factor b(c).\nAnswer: 4*(c - 3)*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-66162)\/4)\/(2\/(-12)). Suppose -500757 - n = -3*m. Suppose -240471 + 40471 = -y + 5*j, y - 2*j = m. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1053\/4 + 262. Let t be 5\/(1 + 1 + -1). Which is the second smallest value? (a) 3 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*g**2 - 394*g**2 + 86*g**2 - 363*g**2.\nAnswer: -812*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bba5c6 - 5?\nAnswer: 1bba5c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:57 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 6*g**2 + 4*g - 6. Let d(n) = -6*n**3 - n**2 + 1. Let v be d(-1). What is the tens digit of t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 + 768594*x\/5 + 4611672\/5.\nAnswer: -3*(x - 256204)*(x + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.09 (b) -3 (c) -4\/7 (d) 4\/9 (e) 1.1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -5 (c) 25.4 (d) -0.4 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -190515.4*-0.01\nAnswer: 1905.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 145\/(-25))\/(4\/(-20)). Let q(v) be the first derivative of -31*v**2\/2 + 9*v - 1. Is q(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3))**4\/(i**1\/(i\/(i\/i**(-1\/8))*i*i)) assuming i is positive.\nAnswer: i**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3 + 22. Let v(j) = j**2 - 4*j - 2. Let c be v(w). Solve -c = -6*s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*w + 1576 = 4*w, 2*z + 4*w = 794. What are the prime factors of z\/4 + (2\/8)\/1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -203, -303, -401, -497?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**6\/15 - 2*w**3\/3 + 41. Let i(m) be the third derivative of j(m). Let g(z) = -z**2. What is g(i(n))?\nAnswer: -576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1288862\/15 - 85924. Factor 0 + 2\/15*u**5 - p*u**2 + 2\/15*u**4 + 0*u - 2\/15*u**3.\nAnswer: 2*u**2*(u - 1)*(u + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:41 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7)*(-12875)\/2575\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 763272.3 centimeters in nanometers?\nAnswer: 7632723000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9103, 9096, 9085, 9070, 9051, 9028, 9001?\n\"Answer: -2*b**2 - b + 9106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105666, -105655, -105630, -105585, -105514?\nAnswer: -105411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((540\/80)\/((-12)\/64))\/2. Let k(w) = -5*w - 85. Determine k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -821\/1999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4 - p + 1 - 1. Suppose 3*t - 3 - 6 = 0. What is the units digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32854 plus -0.7?\nAnswer: 32853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 2122053*p - 4244110*p + 2122059*p + 6*p**3.\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.3 (b) -0.2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34383507 divided by 3?\nAnswer: -11461169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y + 0*y**2 + 3 - 1\/20*y**5 - 1\/6*y**3 - 1\/6*y**4. Let i(w) be the first derivative of u(w). Factor i(d).\nAnswer: -d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 - 13*c**3\/2 + 6*c**2 + 2*c. Let s(x) be the first derivative of i(x). Let m(t) = 2*t. Calculate s(m(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 473955 (base 11) to base 4\nAnswer: 2313203121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 5*d - 1. Let h be a(-4). Let f = h - 2. Suppose p**2 + f + 2*p**2 - 2*p**2 - 2*p = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -4954.\nAnswer: 4953.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575145389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - i + 2 = 0, 3*i + 19 - 18 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 128, 138, 150, 164?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281105*k**3 + 277206 with respect to k.\nAnswer: -843315*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 337, 22683 in descending order.\nAnswer: 22683, 337, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - q - 156 + 74 + 82.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -623 + 355. Let r = -267.88 - f. Which is the closest to 2\/7? (a) -0.3 (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132 - 132 + 147*a**5 - 2*a**3 + (-6*a**4 + 0*a**4 + 4*a**4)*(-2 + 2 + 2*a).\nAnswer: 143*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64186 by -67.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 = 5*i - 52, 4*i - 3*w - 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-28) + ((-76)\/(-14) - 0). Let q(p) = 4*p**3 - 15*p**2 + 6*p + 6. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 344 = 316. What is the first derivative of -6253*i**c - 196 + 6154*i**4 - 23 wrt i?\nAnswer: -396*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1032037295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 2. Let z be o(7). Suppose -2*b + 7*b - 155 = -z*i, -5*i - 37 = -b. Let q = b + -17. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/12 + b**3\/6 + 3*b**2. Let v be h(-1). Solve 4*u + 14 = u + 2*c, 5*c = -v*u + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -28. Let f(q) = q**2 + 13*q + 24. Let z be f(c). Solve 3 = -z*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 106497567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8931448?\nAnswer: 2, 1116431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2414225 (base 6) to base 2\nAnswer: 11110111011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnjjnfrr. What is prob of picking 1 j and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1774862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -30) + 0 - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 3*z**2 + z + 1. Suppose 2*a - 42 = -a. Calculate the remainder when x(-2) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4709969354.\nAnswer: 2, 2354984677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523 - 515 = -72*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 129 = -5*g + 164, -2*d + g - 11 = 0. Put d, 1\/8, -5, 0.09 in decreasing order.\nAnswer: 1\/8, 0.09, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + 3 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/5 - -2*2. Solve 2*z + v - 12 = 0, 0 = 3*z - g*z + 4*v - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589 and 3255713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 - 320 + 106 + 108 + 679*n to m*n + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.3 (c) -7\/4 (d) -8\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -557 in ascending order.\nAnswer: -557, -15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 1621*h**2\/3 + 26128*h\/3 - 104768\/3.\nAnswer: -(h - 8)**2*(h + 1637)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2. Let f(j) = -2*j. Let q be f(-1). Let g(a) = a + 1. What is q*g(u) + 2*i(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0 - 5 - 3*z**2 - 4*z + 4*z**2. Suppose -6*u + 3*u = 4*n - 4, -2*n = 3*u - 8. Determine r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5\/9 (b) 12.4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064178179, -1064178181, -1064178183, -1064178185?\nAnswer: -1064178187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -62*i - 7. Let k(w) = 31*w + 3. Let z(c) = 9*k(c) + 4*u(c). Let n(a) = 14*a. Determine z(n(m)).\nAnswer: 434*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121002 is divided by 2420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 - -0.1. Let l = j + 0.13. Is 1\/5 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23101222 (base 4) in base 8?\nAnswer: 132152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 times 0.5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 7*a - 28. What is the units digit of w(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 26714290766\nAnswer: -26714290765.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4 = -g, -4*g + 5 - 3 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10764284.\nAnswer: 2, 97, 27743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -457968 divided by -76328\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16402016 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 2214*c - 179818. Calculate f(-76).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 8*x - 8. Let q be i(6). Let z = 5.78 + -6. Let o = z + 0.22. Which is the smallest value? (a) o (b) q (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 2*q**2 - 5*q - 3. Let d(o) = -o**3 + 4*o**2 + 6*o - 1. Suppose 6*u + 25 = 3*t + 4*u, -u = 5. Let r be d(t). Give h(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - 2*-3*sqrt(112)) + -4)**2 + (5 + -5 + sqrt(112) + -2)**2)*3.\nAnswer: -720*sqrt(7) + 16860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/42, -0.001, -2\/7 in ascending order.\nAnswer: -2\/7, -1\/42, -0.001, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -164*y + 1826. Give t(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 - 6 = 0. Let u be 5 + (2 - a) - -11. Calculate the highest common divisor of 98 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535825613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853 (base 11) to base 6.\nAnswer: 14525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkki. What is prob of picking 2 k and 1 i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/42 - (-75)\/(-7). Let h = -10 - r. List the prime factors of ((-3)\/(-2))\/h*10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7501 + 1457 = -4*u + 3*p, u = p + 1511. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 15*n**4 - 24295*n**3 + 40395*n**2 + 88975*n + 24270 = 0.\nAnswer: -1, -1\/3, 3, 1618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**7\/105 + 5*l**3\/3 + l**2 - 1. Let i(d) be the second derivative of x(d). Find the first derivative of i(z) wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26750 and 26749 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 173 in -8, -3, -42?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -719 + 719. Let g = 21 - 18. Let v = -6 + 6. What is the closest to q in g, -1\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.027 or 0.059?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 73.8, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = 4. Let k(s) = -s - t + 2. Let l(m) = 22*m**2 + 42*m**2 + 2*m**2 - 43*m**2. Determine k(l(n)).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-21 + 22 - (-4 + 25))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 777 = 377. Let d(a) = 4*a**2 + 3*a - 1. Let f be d(-5). Let l = u + f. Solve 15 = j + l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5875 or 5879?\nAnswer: 5879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -250123030 (base 6) to base 11\nAnswer: -2768805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose 5*u = 5*y - 35, n*u = -5*y + 4*u + 31. Suppose -69*p = 181 + 601 - 4094. What is the highest common factor of p and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 13*c**2 + 585*c + 8226. Calculate w(-15).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*s + 156, -2*a + 4*s + 71 + 49 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 5*h = -13*g - 17, 2 = g + h. Solve l = 2*w - 14, 2*w - 3*l = -g*w + 37 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**8\/5040 - v**7\/945 + v**6\/180 - 3*v**4\/2 + v. Let u(q) be the third derivative of w(q). Factor u(d).\nAnswer: -4*d*(d - 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8585872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*a**6*i + 5*a**6 + 1247*a**2*i wrt a.\nAnswer: -4440*a**3*i + 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 441, 1463, 3149, 5499, 8513, 12191?\n\"Answer: 332*d**2 + 26*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let f = -30 - -34. Put m, 2, f in ascending order.\nAnswer: m, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:48 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/5 of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w)\/w*w*w*w**(-4\/7)\/w*(w\/(w\/w**(1\/3)))**(-37) assuming w is positive.\nAnswer: w**(-376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.048 - 0.052. Suppose -g = g + 24. Let c be (-3*(-8)\/g)\/(-4). What is the nearest to 4 in m, -1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -60?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, 13\/6, 18, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250880445 to the power of 1\/3, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10612, 21300, 32058, 42922, 53928, 65112, 76510?\n\"Answer: 6*v**3 - v**2 + 10649*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 311*j**2 + 1299*j + 12572. Calculate i(-315).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -18*f + 1. Let l(o) = o. Let k(g) = -78*l(g) - 6*u(g). Find the first derivative of k(q) wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.26962917.\nAnswer: -1.07851668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 3\/6941 (c) 1\/215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(2\/(-12))\/((-8)\/72). What are the prime factors of ((-1935)\/(-27))\/(3\/g)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + l + 1. Let q be f(-1). Suppose -3*u + 16 = -q*s + 4*s, u = 4. Suppose -4*h - 3*t = -8621, -2*h + 6467 = h + s*t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 + 25775*p**3 - 1228015*p**2 + 11926945*p - 10724700 = 0?\nAnswer: 1, 12, 35, 5107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -1630, -3866, -6998, -11026, -15950, -21770?\nAnswer: -28486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 9824?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -888 * -0.1.\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*n - 947, -15*n = -18*n - 5*z + 557. What is the remainder when n is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*i + 3, -2*z + 4*i - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29559*d**2 - 6791.\nAnswer: 59118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 309*q**2 - 2161*q + 966265. Give z(312).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.12 + -0.42. Let n = 0.7 - i. What is the closest to -0.1 in 3, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**6\/720 + 56*t**4\/3 + 26*t - 1. Let z(a) be the third derivative of w(a). Determine z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2181, 3945, 5709, 7473, 9237, 11001?\n\"Answer: 1764*n + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6306, 6339, 6372, 6405, 6438, 6471?\nAnswer: 6504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twbdswwbsxbt. Give prob of picking 2 b and 2 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153.9 - -154. Which is the nearest to n? (a) 1\/7 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m. Let p(r) = 2*r**2 + 6*r. Let w(x) = -x. Let q = 8 + -2. Let b(h) = -h + 5. Let a be b(q). Let j(t) = a*p(t) - 6*w(t). Determine z(j(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 14. Let q(i) = 7*i**2 - 47*i + 10. Let o be q(u). Calculate the least common multiple of o*(3 + ((-4)\/(-6) - 3)) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9654 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41747625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1015\/(-154) + 4\/8\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29293016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24*-18)\/(-3) + 10*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, -622, -1564, -2474, -3340, -4150, -4892?\nAnswer: -5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 41879943 divided by -9\nAnswer: -4653327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + -108628)\/((-10)\/((-100)\/(-2))*5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -707687.9997 - -707725. Let q = 36.6 - -0.4. Let u = q - o. What is u rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 + 5*d**2 + d - 2. What is the units digit of z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -53. Suppose -2*h - x*h = 5*h. Let c be (2 + 4\/(-3))*3. Solve 3*z + c*z + 20 = h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96.2 + -96. Let u = -4.2 - 0.8. Let j = 4.9 + u. Which is the closest to j? (a) n (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + b + 191 = 176, -7*k - 4*b = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0189249 to 4 dps.\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10 + 86)*(-2*v + 4*v - v).\nAnswer: 107*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -71. Solve 3*g + 2*g + 8 = 2*c, -d*g + c - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1 - 2*t - 44*t**3 + 2 - 4 - 3*t**2 + 2*t**2. Let a be c(-1). Suppose 0 = -3*u + a - 14. What is the least common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00166755 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*f**2 - 222*f**2 + 42*f**2.\nAnswer: -273*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 5. Let h be 32\/(-12)*(-1 + -2). Suppose -3*g = -v + g - h, -4*v - 4*g = -68. Calculate the remainder when y(5) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4196*z + 7176. Let q(o) = 4196*o - 7190. Let n(f) = -6*i(f) - 5*q(f). Differentiate n(r) with respect to r.\nAnswer: 4196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + t. Let z(f) = -f**3 - 2*f**2 + 18. Let w be z(t). Suppose 24900 = -w*o + 15*o. Round o to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9991744 or 9991732?\nAnswer: 9991732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 7, m: 1, y: 2, x: 2}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {l: 3, w: 2, f: 7, i: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3664670 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 + 11)*(0*l**4 + l**4 + 0*l**4).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 563 = m + 484, -79 = -m + 4*x for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 10 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281584600 rounded to the nearest 1000000?\nAnswer: -1282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475182952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zej when three letters picked without replacement from tjeeeddjjeezdsdjzjd.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1882143, -1882142, -1882141, -1882140?\nAnswer: -1882139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52320 is divided by 513?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2476 * 1.3\nAnswer: -0.32188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21110313 (base 4) to base 14\nAnswer: -dcc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.95162 litres in millilitres?\nAnswer: 5951.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 4*q**2 + 0 - 1\/10*q**5 - 1\/30*q**6 + 0*q**3 + 0*q + 0*q**4. Find the third derivative of r(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(833))*2 + (sqrt(153) + -1*sqrt(153) + sqrt(17) - -1*sqrt(153)))**2.\nAnswer: 108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 - 76752*o + 100629760 = 0.\nAnswer: -20420, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090186 rounded to five dps?\nAnswer: -0.00902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 25 in decreasing order.\nAnswer: 25, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06694914466 rounded to four dps?\nAnswer: -0.0669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481198 is divided by 51074.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 7) to base 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2115048269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) -5 (c) 2\/69 (d) -0.4 (e) -1 (f) 125 (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a week in minutes?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1501210, 3002417, 4503624, 6004831?\n\"Answer: 1501207*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11816, 47523, 107034, 190349?\n\"Answer: 11902*r**2 + r - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 + 187377*z - 187377*z + 0*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 161 = 7. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiavdvx. What is prob of sequence viva?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665447 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5, 3\/4, -11, -0.3, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -344\nAnswer: -3\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -936*b - 931. Let g be n(-1). Sort 6, 0.5, -4, -5, g.\nAnswer: -5, -4, 0.5, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 + 38*f**2 + 75*f**2.\nAnswer: 124*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 19*x**2 + 22*x + 107. Calculate k(-18).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/3 + 22142*l\/3 + 22144\/3 = 0.\nAnswer: -1, 11072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c + 2*v - 0, 19 = 3*c + v. Let s = -7 + c. Solve 0*q + q + 3 = s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4719))\/(sqrt(3)*-1*3).\nAnswer: -11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 264310000 to the nearest 1000000.\nAnswer: 264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -4724.1, 3 in ascending order.\nAnswer: -4724.1, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose 0 = l + 1, 0 = i*y - 2*l + 7. Is (14\/y)\/((-4)\/894) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**6\/60 - 5*d**4\/24 + 7*d**2\/2 - 6*d. Let r(z) be the first derivative of i(z). Find the second derivative of r(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:45 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 871*c**3*r**3*z + 53*c**3*r**2*z - 14*c**3*r**2 + 15*c**3*r*z + c**2*r**2*z + 6*c*r**3*z - c*r**3 wrt r.\nAnswer: 5226*c**3*z + 36*c*z - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 1)\/(2\/3). Let g(w) = 3*w - 11. Let c(i) = 13*i**3 - 2*i**2 + 2*i - 1. Calculate the remainder when g(n) is divided by c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450532394711 + 3?\nAnswer: -2450532394708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 354*o**2 + 72 - 30 as n*o + w*o**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = 5. Suppose v*x = x + 4. Let h = x + 1. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2044 or -165709?\nAnswer: 2044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 7) to base 15.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 16*z**2 - 13*z + 7. Let w be b(-17). Let l = w - -81. Calculate the greatest common factor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(13) - (sqrt(1872) + 0 + sqrt(1872)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q = -23 - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zygygjg. Give prob of sequence zyj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**4 - 39*p**3 - 328*p**2?\nAnswer: -168*p - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9*o + 32 = 13*o + 8, -d - 27*o - 4*o - 105 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 63440\/4 + 1 + (-34)\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -18*b - 980. Calculate n(-55).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85784053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 98 = 3*l, 2*i - l - 145 = -31. Let w = i + -51. Suppose -k = w*k - 5*j - 40, 4*k + 3*j = 18. Let h(d) = -d + 11. Calculate h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 78 - 42 = 0. Solve d*s + 2*a = 6*a + 20, 3*s + 3*a - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3008 and 21479?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2198 - -0.2798. Put 4, 2, 18, q in increasing order.\nAnswer: q, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 - 18*v + 3. Let a be l(6). Suppose 0*r = a*r + r. Suppose r = -z + 4*b, z - 5*z = -4*b. Which is smaller: z or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 - -82. Let s = -29 - v. Solve -2*m + 0*m + c - s = 0, 3*m + 8 = 2*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -50, -8, 62, 166, 310, 500, 742?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 162, -3, -1\/5, 579?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1193*o - 29. Is d(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3316*-4\nAnswer: 13264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -79076092 divided by 1?\nAnswer: -79076092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6444.36059 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(6*sqrt(720)*2 + sqrt(720) + -5*(sqrt(720) + 1))*-1)**2.\nAnswer: -829890 + 17280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - 3*r)*(r**3 + r**3 - 3*r**3) + 2*r**4 + 0*r**4 - r**4 + (2*r + 0*r - 3*r)*((-2 - 2 + 3)*(3*r + 2*r**3 - 3*r) - 13 + 3*r**3 + 13 + r**2).\nAnswer: -2*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v - 13. Let y(w) = 11*w - 12. Let p(j) = 5*i(j) - 6*y(j). Let z(d) = 6*d - 6. Let n(s) = 5*p(s) + 6*z(s). What is the units digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1354*z**3 + 2672*z**3 - 78*z - 1328*z**3 + 78*z.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 - 221. Suppose r = u - 11 - 7. Calculate the highest common factor of 774 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 + 4*v - 6. Suppose -12 = -4*p, -3*b - 8 = p - 20. Let t(d) = -d**3 - 15*d**2 - b*d + 29*d**2 - 15*d**2 + 5. Calculate 4*t(h) + 3*w(h).\nAnswer: -h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11467357 or -11467358?\nAnswer: -11467358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from aoa?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -v + 173, 4*c + 22 = -v + 51 + 1 + 23 + 48 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 694, -0.4, 16, -144, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3312 - 212223220?\nAnswer: -212213302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59913829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6975842.\nAnswer: 2, 3487921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7\/2, -75, 1.6, 28 in decreasing order.\nAnswer: 28, 7\/2, 2, 1.6, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 - 2) - (-4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114.81692756 - -0.81692556. Let o = 114.103 - 0.103. Let k = o + j. What is k rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 + 185*n + 180 = 0. Calculate n.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 30*f - 58. What is the units digit of q(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 8 + 0)*(-3*k + 4*k + k) + 180*k + 182*k + 45*k as v*k + w and give v.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(sqrt(32)\/sqrt(50) + sqrt(16))\/sqrt(8))**2.\nAnswer: -144*sqrt(2)\/5 + 1048\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 8, 49, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1813*i + 1120*i - 682*i)*(0*i + i + 0*i)*(2 + 3 - 4).\nAnswer: 2251*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 77*i**2 + 109*i + 79. Give a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000297063 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 6) to base 11\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 196. Let f be 1\/5 - n\/10. Calculate the lowest common multiple of (f\/(-4))\/3*20 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.2, -14, -0.3, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.2. Let n = 3\/2 - 3\/4. Which is the closest to t? (a) 3\/5 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a - 16*a - 10*a.\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 280147 at least as big as 280189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.18, 175, -7078, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 639032455*q**3 - 844954873*q**2.\nAnswer: 3834194730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 2, o: 2}. What is prob of sequence ooh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-708)\/66 + -2 + 429\/33?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29211064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 71?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -500657 + -47?\nAnswer: -500715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:32 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g - g)*(2 - 3 + 0)*(2*g**2 + g**3 - 2*g**2).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -161. Solve 3*k = -3, 2*q = 3*q + x*k + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -131, -213, -305?\n\"Answer: -5*u**2 - 57*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27996, -55975, -83940, -111891, -139828?\nAnswer: -167751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2129 = -2099. List the prime factors of 32403\/35 + w\/(-5).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let b(c) = 7*c**2 + 0*c**2 - c**2 + 3*c**2. Calculate t(b(x)).\nAnswer: 81*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-3)))\/(n\/n**(-4)))\/(n*n**(-3)*n*n*n*n\/n**(-2\/25)))**(-9) assuming n is positive.\nAnswer: n**(918\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18997, -37998, -56999, -76000, -95001?\n\"Answer: -19001*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7*69\/(-322))\/((9\/(-28))\/(12\/2))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27485\/2 or -443?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 3.3. Let w = -2.999993 - k. Round w to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/120 + z**5\/30 - z**4\/12 - z**3\/3 - 2*z**2. Let i be (-8)\/28 - 69\/(-21) - 5. Determine d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3630, 3629, 3628, 3627, 3626?\n\"Answer: -z + 3631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.95946343 and -0.2?\nAnswer: 5.15946343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Suppose -w*s + 29 = -5*q, -2*q + 20 = -6*q. Let v be 1\/4 - (-28)\/16. Solve -s + 10 = -v*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.1. Let b be 0 - -4*(-4)\/(-6) - 3. Put 0.1, b, p in increasing order.\nAnswer: b, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -615 + 4741. Calculate the remainder when y is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {w: 4, o: 12, l: 2, h: 2}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*o + 4054 - 1431 = -3571 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*x**3 + 45 - 45)*(377 - 33*x - 377) + (3 + 1 - 2)*(0*x**4 + 0*x**4 - 2*x**4) - x**4 + 3*x**4 + 0*x**4.\nAnswer: -1058*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/63, 2\/9, -1, 6, -0.2, -2 in decreasing order.\nAnswer: 6, 2\/9, 1\/63, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.073 + 0.073. Let s = j - -28. Which is smaller: -0.01 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 16*s = -9. Suppose -5*p + 7*p - s*x + 10 = 0, -4*p - 4 = -2*x. Is p smaller than 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1096, -1742, -2388?\n\"Answer: -646*q - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 31*q**2 - 2*q - 9. Calculate the least common multiple of o(-4) and 33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 389 (b) 4\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -9 (b) 3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 3, i: 1}. Give prob of picking 2 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10100101000 (base 3) to base 16\nAnswer: 10158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871312?\nAnswer: 2, 29, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 34052*y**2 - 1875435*y - 15348150.\nAnswer: (y - 34107)*(y + 10)*(y + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/12 - k**3\/6 + 5*k**2 + 2*k. Let t be r(0). Suppose -3*s + t - 4 = 0. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -318*m**2 + 318*m**2 - 3*m**3 + 19*m in the form w + s*m + x*m**3 + d*m**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/11)))\/((c*c*(c*c**(1\/11))\/c*c*c*c)\/c) assuming c is positive.\nAnswer: c**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**5 + 19*i**4 - 316*i**3 + 1898988*i**2 wrt i.\nAnswer: 600*i**2 + 456*i - 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1041\/2, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6793, -13492, -20121, -26644, -33025?\nAnswer: -39228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78688.3 rounded to the nearest one hundred?\nAnswer: 78700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2267.\nAnswer: -5\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 2*h = -16*i - 4, 0 = 5*i - h + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 - -11 - (192 + -178) - (-44 + 0)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*3\/45)\/(-1)*(-30)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -176 + 186 + (-2 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = -4*g, 2*g - 5*t - 651 + 629 = 0. Sort 1, 3, 8, 28, g in ascending order.\nAnswer: g, 1, 3, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x - 301. Give w(18).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*b + b. Let w be (-2)\/b + -4 + 0. Does 21 divide ((-258)\/4 - 2)*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -712*f*k*n**3*q**2 + 8*f*k - 25*k*n + k*q - n**3*q**2 - 48*n**3*q - 2*q wrt f.\nAnswer: -712*k*n**3*q**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4692648 millennia in centuries?\nAnswer: 4.692648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 61*z**2 + 7*z. Let v(g) = -173*g**2 - 22*g + 1. What is -17*k(t) - 6*v(t)?\nAnswer: t**2 + 13*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 - 117*b**4 + 1488*b**3 - 6948*b**2 + 13440*b - 9216 = 0. Calculate b.\nAnswer: 2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 536, 9, 5, -6 in decreasing order.\nAnswer: 536, 9, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1460 + 1831 + 280 + s - 2359 + 5258 as r*s + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51923 is divided by 769.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 8) to base 6\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 2*t - t**2 + 3*t.\nAnswer: -t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17417 - -27431. List the prime factors of w.\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 12, 2*f - 3*y - 82 = -2*y. Let u be 2*f\/12*22. Is 142 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**2 - 2644*t + 5 + 49*t**2 + 2644*t to the form o*t + a + k*t**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 4, f: 4, h: 3, i: 7, y: 1}. What is prob of sequence hys?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20941251 or -20941250?\nAnswer: -20941250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107130 is divided by 782?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -720 + 452. Let t = y - -262. Which is the third biggest value? (a) 3 (b) -2 (c) t (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -2\/9, -5972, -25?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = -3*t - 1, -5*t - 16 = -2*a. Suppose -15 = -g - a*s, 2*g + 4*s + 6 = 30. What is the units digit of (-37)\/(-7) + g\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuguuuugugugguuuuu. Give prob of sequence gug.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (85\/30)\/17 + 380\/(-1710)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/19 and 89\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9)*-3 - -5) + 0. Put 0, a, 1 in descending order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let n be (-34)\/36 - 2\/d. Let m = -11 - -119\/11. Which is the biggest value? (a) n (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 - -216.54. Let t = r - 216.99891. What is t rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 885*b**6*j - b**3*j**3 - 36*b**2*j**3 + 4*b**2*j wrt b?\nAnswer: 106200*b**3*j - 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.095\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -6*l - 1\/6*l**3 - 1\/2*l**2 + 0. Let i(t) = t + 1. Determine 6*a(r) + 5*i(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, 1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - z - 3*z - 11 + 11.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1)*(23 - 22). Let m be 1 + 6 + 1 - l. Suppose -4*v = k - 38, -m = -3*k + 5*v + 52. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11.2. Suppose 4*t = 2*m + 4 - 2, 2*t - 16 = 4*m. Let h = 0.06 - -1.94. Which is the third biggest value? (a) h (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112953581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -70, -6, 182, 536, 1098, 1910, 3014?\nAnswer: 4452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:14 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-4)\/(-7)*(-45)\/240)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -114. Let p = -34 + l. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 535205, 1070393, 1605579, 2140763, 2675945, 3211125, 3746303?\n\"Answer: -g**2 + 535191*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = -6. Determine c, given that -5*c**4 - 12*c**2 + 8*c**3 + 2*c + c + q*c - 2 + 3*c**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 - 13*j - 2. Let k(p) = 5*p**2 - 12*p - 2. Let f(c) = -7*k(c) + 6*l(c). Let w(g) = -g**2 + 21*g + 19. Let y be w(22). Give f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291007.\nAnswer: 291007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48527, 97097, 145669, 194243, 242819, 291397?\n\"Answer: k**2 + 48567*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 1074*h**3 + 65728*h**2 + 206904*h = 0. Calculate h.\nAnswer: -3, 0, 74, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*(-24)\/27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*v**5 + 3*v**2 + 8*v**5 + 17*v**4 + 43*v**2 - 31*v**5 wrt v?\nAnswer: -60*v**2 + 408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2396 is divided by 415.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 36, 0.04, -0.4, -0.0003 in decreasing order.\nAnswer: 36, 0.04, -0.0003, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23911 - -0.0117.\nAnswer: -23910.9883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1872 + 1872. Which is the second biggest value? (a) v (b) 2 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16*q**2 + 4*q - 17. What is the tens digit of f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - 122. Let a = -146 - d. What is the third biggest value in a, -3\/8, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 262.9, 0.5, -0.3, 5, 3\/8 in increasing order.\nAnswer: -0.3, 0, 3\/8, 0.5, 5, 262.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + (-1 - 0) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53664240 divided by 105.\nAnswer: 511088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + (-598)\/(-78)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8483541?\nAnswer: 3, 11, 257077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a11be + 1?\nAnswer: -a11bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1)*((-976143)\/(-774))\/329.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*x - 7, -x = 15*p - 14*p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y*(y*y\/y**0)\/y*(y**(3\/8)\/y)\/(y*((y\/(y*y**(-5)))\/y)\/y))\/(y**(-6)\/y*y*y*y\/(y\/y**(2\/11)*y)*y**6*y**(-5\/4)) assuming y is positive.\nAnswer: y**(-1135\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2*t - 3. Suppose 0 = -2*b + 2, 27 = -4*s + b + 170. Let a = 32 - s. Let x be d(a). Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = -13. Let l = g - -160. Calculate the highest common factor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2010699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 7. Let i be x(9). What is the greatest common factor of i and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4077601\/78 less than -52276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18135120 divided by 477240.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -3, 1\/6, -3\/4, -0.4 in increasing order.\nAnswer: -3, -3\/4, -0.4, 1\/6, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 230418514 to the power of 1\/2, to the nearest integer?\nAnswer: 15180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2751528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28942 and 3364?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66906494 to the nearest integer?\nAnswer: 8180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Put -0.3, -1\/14, u in decreasing order.\nAnswer: u, -1\/14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1720295\/3 + 573433. Factor -2\/3*u**2 - 2\/3 - b*u.\nAnswer: -2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 8\/7 (c) -581 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9152 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 7)*(15*l**2 + 11*l**2 - 7*l**2) - 3*l + l + l**2 + 0*l**2 - 2 - 37*l**2 + 21*l**2 + 0 as v*l + s*l**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71892480 by -5106.\nAnswer: 14080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/20 + 396\/3960. Let n(k) = 2*k + 2. Let q be n(-3). Sort -7, q, u in decreasing order.\nAnswer: u, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 + -3.65. Let u = -4 - t. Sort -0.06, 2, u in increasing order.\nAnswer: u, -0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2227762 - -4\nAnswer: -2227758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2. Let w be (-6)\/(-8)*8\/3. Let r(k) = k**2 + 7*k**w - 5*k**2. Calculate r(q(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 89190?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 13. Let r be l(9). Suppose 3*w + t - 291 = -t, -w = -r*t - 111. What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttpt when four letters picked without replacement from {f: 2, q: 1, y: 1, t: 3, p: 4, s: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -8. Let x be 88\/220 - 2\/5. Let c = b - x. What is the highest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*i = -113*i + 7. Let m be (15\/12)\/((-2)\/(-16)). Let h = m - i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -11744.6, 4\/5 in increasing order.\nAnswer: -11744.6, 4\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(-15)\/42*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:39 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237\/15 + ((-2)\/(-10))\/(-25*(-3)\/75).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -263367*l**2 + 724*l**5 + 263367*l**2 + (1 - 1 + 2*l**5)*(3 - 3 + 2) + 2*l**5 + 0*l + 0*l.\nAnswer: 730*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 94*h**3 - h**2. Determine t(2).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16870397 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83912 is divided by 378?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 50*n + 8682. Give g(-174).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 + 262*d**2 - 3*d + 0*d**4 - d**3 - 2*d - 263*d**2 to g*d**2 + n + k*d**4 + u*d + c*d**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/4 - -12. Suppose -d + 5 = -3*k - 151, 4*d + 90 = -2*k. Let r be 1\/(k\/(-6) - 2). Which is the third smallest value? (a) r (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:36 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 14268 = -2*d. Suppose -d = 14*x - 4619. Is 39 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + n**2 + 3*n - 1. Let w(t) = -2*t**3 + 3*t - 1. What is 2*b(h) - 3*w(h)?\nAnswer: 2*h**3 + 2*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011807190212 to 6 decimal places.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/228 and -1\/84.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-400)\/(-150).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34141743 divided by -2?\nAnswer: -34141743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is (-25*(-90)\/525)\/(20\/(-140))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (16965\/20)\/13*24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 26. Solve 0*z - y = -4*z - 2*o, 0 = -2*z - 3*o + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 - ((-4)\/(-2))\/(-2). Let m be (-2*(-1)\/1)\/1. Suppose -3*b = -m*w - x*w + 10, 3*b - 20 = -4*w. Solve w*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 3, i: 8}. Give prob of picking 3 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 7. Let o be k(5). Let i be (4752\/(-308))\/(4\/42). Let t = 167 + i. Sort o, 3, t in increasing order.\nAnswer: o, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let q = -71 - -75. Let g(s) be the third derivative of 0 - 1\/4*s**q + s**2 + 0*s**3 + 0*s. Determine g(m(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53620 or 54630?\nAnswer: 54630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 225*d**4 - 9*d**3 - 11293*d**2 wrt d?\nAnswer: 60*d**2 + 5400*d - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60693914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - (-1 - (-2 + 2)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120200 (base 3) in base 7?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1802\/(-86) + 7\/((-28896)\/192).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 1320*q - 1311*q = 54, a = 3*q - 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1503784?\nAnswer: 4511352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/7 (c) -9310 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**2 + 10*t - 2. Let m = 147 + -145. Let z(d) = -544*d**2 + 276*d**m + 269*d**2. Calculate c(z(j)).\nAnswer: -2*j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 18 = 3*g, 17*y + 3 = 3*g + 14*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + k + 10 = 0, 0*k = 2*z - 4*k - 16. Suppose v - 25 = -3*m, -z*m + 3*v + 37 = 8. Suppose -32 = -4*h - m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.72*0.3.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m + 8. Let d = 1.09 - -0.66. Let h = -1.87 + d. What is the nearest to h in m, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*c**3 + 4*c**3 + 0*c**3)*(-3*c + 4*c - 3*c) to the form d + v*c**4 + p*c**2 + s*c + n*c**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 201745 = 4159*w - 257945 for w.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1047, -984, -887, -762, -615?\n\"Answer: -v**3 + 23*v**2 + v - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.098 + -0.0980169. Round o to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times 13.03?\nAnswer: -1185.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 11. Sort 4, y, -4 in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 153 = 3*r, 3*g = 135157*r - 135152*r + 51 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/27)*l*l)\/l**9*l**(-3\/2)*l*l**(4\/9) assuming l is positive.\nAnswer: l**(-323\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 183*r - 1614. Calculate the remainder when y(13) is divided by 271.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 - 849. What is the remainder when 159 is divided by t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k - 147 = -50*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2296 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -256, -368, -464, -538, -584, -596?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 974\/2922*(-2)\/26.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*r - 258160 = -305*r. What is r rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggrr. Give prob of sequence gr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:28 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.916301 + -2.02541. Let i = -141.046109 - j. Let m = i + 141. Round m to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/537 and -73\/936.\nAnswer: 167544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5)*(-r + r + r + (r + r + 0*r)*(1 - 1 + 1) + 2*r + 9 - 9).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m - 0*m. Let f = m + 2. Solve -f*b + 6 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*j + 30*j + 4*j + 61*j)*(-58 - 29 - 8 + j).\nAnswer: 139*j**2 - 13205*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*s**2 + 118*s**3 - 2702*s + 2820*s + 199*s**2.\nAnswer: 118*s**3 + 118*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13*q\/(q\/((q**8*q)\/q))*(q**11\/q)\/(q*q*q**(-9)*q) assuming q is positive.\nAnswer: q**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2043497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 159121129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:28 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 2, b: 1, e: 1, r: 4}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 + 313. What is the second derivative of 23*o**3 - 1066 + 1066 - f*o wrt o?\nAnswer: 138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/7))**(2\/75) assuming t is positive.\nAnswer: t**(16\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539055.8 millilitres to litres.\nAnswer: 539.0558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -89a3a2?\nAnswer: -89a397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*h + 3*j, h + j = -j + 11. Let x(k) = 1276*k + 35. Is x(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-72)*2)\/(75\/375)*3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 - 824*n - 526*n**2 + 372*n**3 + 3*n**4 + 349*n**3 - 833*n**3 - 5*n**4 = 0. What is n?\nAnswer: -51, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1445\/34)\/(-17)*4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 97. Let s(r) = 5*r + 60. Let c(l) = -16*l - 200. Let k(q) = 3*c(q) + 10*s(q). What is k(x(y))?\nAnswer: 4*y + 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ce + -41b0?\nAnswer: -3bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**4 + 8*a**3 + 9*a**2 - 106471*a.\nAnswer: -96*a**2 + 48*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-80)\/280)\/((-3)\/42). What is the nearest to -2 in z, -2, -0.36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436472.3 centimeters to millimeters.\nAnswer: 4364723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2 - z**2 + 2 + 1. Let w(h) = 5*h**2 - 3*h**2 + 2*h**2 - 1 - 3*h**2. Give -5*r(x) - 6*w(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*j**3 + 24*j**3 - 73*j**3.\nAnswer: -117*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipllllllpiplcipiull. What is prob of sequence pp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1940, -15421, -52004, -123239, -240676, -415865?\nAnswer: -660356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 381440*l*o**2*u**2 - 330*o**2*u**2 + 5*o**2*u + 6*o**2 - 3*u**2 wrt l.\nAnswer: 381440*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8 + h + 0*h**3 + 7*h**2 + 5*h**3 - 2*h**3 - 2*h**3. Let t be d(-6). Suppose -2*b = 5*i - 80, b + 3*b + t = i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 31122.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14594, 29253, 43912, 58571?\nAnswer: 73230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 147\/140356?\nAnswer: 147\/140356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5\/5 - 174*y**4 - 63939*y**3\/5 - 25056*y**2 - 62208*y\/5.\nAnswer: -3*y*(y + 1)**2*(y + 144)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15907516 divided by 3976879?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/2)\/((-477)\/(-106)). Which is greater: -1\/12 or z?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -41386*d + 1531271. Calculate v(37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.5069 milligrams in nanograms?\nAnswer: 160506900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3\/7, -0.033, 0.3?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 511439111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -49, 2\/9, 4\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (17 + -1 - (312 - 314))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6*(-2)\/8). Suppose -s*j = 3 - 13. Let o(u) = -u**3 + 5*u + 7. Let m(d) = d**3 - 2*d - 3. Give j*m(z) + 2*o(z).\nAnswer: 3*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/6 + 2818*f**2 + 16910*f\/3.\nAnswer: -f*(f - 16910)*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*o - 6188 - 3063 = 4774 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 4 (b) -0.13 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*i**3 - 2\/7*i**4 - 24\/7*i**2 - 6\/7 - 20\/7*i.\nAnswer: -2*(i + 1)**3*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17061*q - 3999*q + 12179*q to y + b*q and give b.\nAnswer: 25241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 y when four letters picked without replacement from {g: 1, t: 2, y: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -4*k + 3*s, -5*k - 12 = 4*s. Solve 2*i + 2*i + 16 = k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 4:06 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-12 + 6 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2133\/(-54) + (-2)\/4. Let o = 43 + s. Find the third derivative of 46 + 37*b**2 + o*b**4 - 46 - 25*b**4 wrt b.\nAnswer: -528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -2\/3 (b) -0.1 (c) -2 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*x = 4*o + 622*x - 8, -4*x - 18 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81387 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 665*h**4 - 649 wrt h?\nAnswer: 2660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*s**3 + 567*s**3 + 806*s**3.\nAnswer: 935*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18579329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214135976*g**2 - 1205702*g + 1?\nAnswer: 428271952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*u**2 - 1665*u + 1240.\nAnswer: -5*(u + 31)*(11*u - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 18437518*c\/9.\nAnswer: 2*c*(c + 9218759)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1245 and -1245 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3\/7 - 11*h**2\/7 + 43*h\/7 - 10\/7 = 0?\nAnswer: -5, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:34 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/4 - 1\/(-4). Sort -2, d, 0.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 17*j - 12. Suppose 4*c = -j*o - 941 + 2865, 4*o = 12. List the prime factors of c.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 9. Let a be 26\/(-5) + (-19)\/(-95) + 8. Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -64, -2 in descending order.\nAnswer: 5, 0, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 518*b - 12794. Calculate u(492).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 404 + -246. Calculate the lowest common multiple of j and ((-40)\/(-12) - 4)*-6.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-96)*6\/21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 173315575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*a - 36 = -171*a. Calculate the remainder when 38 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o. Suppose 2*f + 14 = 0, f + 6 = m - 3. Let g(v) be the second derivative of 0 + 6*v + 0*v**m - 1\/4*v**4 + 0*v**3. What is g(q(y))?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose -w - w = -2. Let y be 2 - (-2 + 2)*w. Sort -3, f, y in decreasing order.\nAnswer: y, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 - 35*l - 34 = 0.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34331 + -6431. What is b rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.81 + 1.81. What is the third smallest value in -2\/19, 2\/101, m?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1006 and -0.14.\nAnswer: 0.154084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 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 the highest common divisor of 616 and 23576?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:13 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-77612)\/(-2))\/(4\/536). Let s be 1 + (-4 - -1) + d. Suppose 2*h = -g - s, 2*g + 20800003 = -2*g - 3*h. Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17549 = 968*p - 5683 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2530, 2\/17, 0.06, 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 + -3. Suppose -312*p = -153*p - 149*p - 50. Put p, 10, s in descending order.\nAnswer: 10, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 584985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285 + -275. Let g be 26\/7 - (-6)\/21. Suppose 22 - w = g*z. Solve z*r + 4 - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 846 and 2538.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 7*h**2 + 4*h + 9. Let g(f) = f**2 + 12*f + 13. Let j be g(-10). What is a(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*r = -2, 0 = -2*n + 4*n - 4*r + 2. Let m(u) = 0*u - 2*u + 1 + u. Let o be m(-4). Sort -5, o, n in descending order.\nAnswer: o, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 7*p + 2*p - 2*b + 43, 17*p + 5*b - 27*b = -131 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/7, 2, 0, 25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391545 times 43?\nAnswer: 16836435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 - s + 4 + (-11 + 11 - 9*s)*(-2 + 0 + 1))*(-s + s - s).\nAnswer: -8*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-172)*10)\/((-7)\/(-1260)*-75).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016538 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 57 = -o - 53, -3*x - 38 = -x + 4*o for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*z + 7, 32 = -3*y + 4*z + 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 250 and 460882.\nAnswer: 461132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13086379 divided by 13086379\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3*i - 3*i)*(-24*i**3 + 59*i**3 + 98*i**3) - 2*i**4 - 1 + 1 in the form r + a*i**3 + n*i**2 + u*i + y*i**4 and give y.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 153073.095 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1. Let z(f) be the first derivative of -2*f**3\/3 - f**2\/2 - 4*f - 6. Let a(m) = -4*u(m) - z(m). Let w be a(1). Solve w*y - 11 = p, 3 = y - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -32. Suppose 0*y = -3*y + z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6030?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13745, -13760, -13773, -13784?\n\"Answer: s**2 - 18*s - 13728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, -0.6, 11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552642473.\nAnswer: 3, 1517547491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 0 = m + 4*m + 4*o. What is the second smallest value in m, -1\/4, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 - 28\/(-8). Suppose 5*i + 5*u + 0*u = 260, -u = -d*i + 164. Let m be 4 - (i + 1 - 4). Round m to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100212122110 - 12?\nAnswer: -1100212122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 + 2*p - 2. Let h(y) = 26*y**2 - 11*y + 11. Let f(n) = -2*h(n) - 11*l(n). What is the units digit of f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*p - 1, -4*c + 56 = 5*p + 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((48\/(-360))\/(2\/6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 549\/46 or -0.0621?\nAnswer: 549\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m - 0*m. Suppose -4*c - 2*g = -10, 1 = m*c + 3*g - 6. Suppose 35 = 4*i + 5*s, 5*i - 8 = c*i - s. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511\/21*3*(1 + 4).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:44 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -401*f + 19666. Give p(49).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69288?\nAnswer: 2, 3, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + k = -22, -3*w + 5*k = -w - 6. Let g(o) = o + 2. Let j be g(-7). Let v = j - -29. What is the remainder when v is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*j - j + 12, -2*j = -3*y + 13. Solve -3*g - 5*q = -10, 3*q = -y*g - q + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let a be t(-1). Let y be a\/((-12)\/(-9)*3). Is y greater than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a844 (base 16) to base 10\nAnswer: -43076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 621606 (base 7) to base 13\nAnswer: 394bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, o: 3}. Give prob of picking 4 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3 - 3 + g**4)*(0 - 1 + 4 + 0 - 4 + 2 - 2 + 1 + 5 + 0 + 2 + 0 + (0 + 3 - 1)*(1 + 5 - 5)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1117536, 1117531, 1117526?\nAnswer: 1117521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4635, 4815, 4969, 5085, 5151?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*g + 61*g - 125*g + 27 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.6. Let x be (-130)\/240 - 2\/(-3). Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + 0 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = -2*c + 19, 0 = -d + 4. Suppose -3*s - 15 = 0, 2*r = c*s - 5*s + 26. Solve -2*j - 5 = -k, 5*k + 2 = -r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.908481 kilograms?\nAnswer: 2908481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5*k**2\/2 - 11*k + 4. Let j be v(3). Is 6 a factor of 7 - (j + -4 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c. Let m(w) = 143*w**3 - 27*w**2 - 4*w - 2. Let s(h) = -4*a(h) + m(h). What is the third derivative of s(l) wrt l?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41825, -83624, -125423, -167222, -209021?\n\"Answer: -41799*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 46*b**2 + 22*b - 121. Let m be z(46). Calculate the greatest common factor of m and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -l + 2, -2 = -0*l - l + y. Let v = l + -2. Let i = 10 - v. Solve -2*q - 3*q = i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*(-1 - -3). Suppose 2*k + 4*j - 20 = 0, k + 3*k = 3*j - 15. Solve -f*x + 5*w + 16 = 0, 2*x - 6 = w - k*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 97893.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.3 - -8. Let z = 0.4 + s. Let i = -0.2 + 0. Does i = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -100.3, 0.03549, -4\/7?\nAnswer: 0.03549","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60739839.\nAnswer: 3, 47, 143593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1311404171 + -3?\nAnswer: 1311404166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*-3)\/(3*sqrt(63)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 168*a + 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 544*y + 11 = 541*y, -4*c = -4*y + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 5, c: 4}. Give prob of picking 1 c and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62560 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.907 + 0.093. Which is the nearest to d? (a) -0.1 (b) 3 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, 16\/3, 404\/5 in descending order.\nAnswer: 404\/5, 16\/3, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 670211240 and 0.07744.\nAnswer: 670211240.07744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (6 - ((-4 - 4) + 13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 6.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 316 - 275. Find the third derivative of n**3 + 40*n**3 + n - 24*n**2 + 52*n**6 - v*n**3 wrt n.\nAnswer: 6240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdbmxbbxmxxxmm. Give prob of sequence mmxx.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(40)\/sqrt(2) - sqrt(45)\/sqrt(144))**2 + 0 - (sqrt(5) + 0 + 1 - (4 + sqrt(125))).\nAnswer: 4*sqrt(5) + 1173\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i**3 - 7*i**2 + 5*i + 11. Suppose 4*v - 8 = 2*b, 20 = 5*b + 2*v + 4. Let x be (-150)\/24 - b\/(-8). Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/17 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 721 = 7*f. Let v be (-8 - -7) + f\/(-10). Let q = v - 31\/5. Find the common denominator of -37\/9 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -35*m**2 - 10*m - 203. Let i(v) = 76*v**2 + 22*v + 407. Let n(c) = -6*i(c) - 13*q(c). Calculate n(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1795914 and 47226?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22952181 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5 - 3181*x**4\/4 + 179673*x**3\/4 - 2430567*x**2\/4 - 618921*x\/4 = 0.\nAnswer: -849, -1\/4, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 36 = -11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365498, -730990, -1096480, -1461968?\nAnswer: -1827454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 2*j + 4*j)*(-46 + 16 + 2)*(-5 + 0 - 7) in the form w*j + r and give w.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/11 (b) 0 (c) -3\/7 (d) 1\/3 (e) 0.667 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let y(a) = 2 - a**2 + 0 + 4 - a - m. Let r(p) be the third derivative of p**5\/60 - p**3\/6 + 36*p**2 - 2. Calculate 3*r(k) + y(k).\nAnswer: 2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31735410 to the nearest integer?\nAnswer: 5633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4174?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-15)\/(-5))*-1. Suppose -15 = -q*r - 3*l, 2*l - 4*l + 5 = r. Suppose r*d + 13 = 6*d. What is the greatest common factor of 117 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891405 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 193. Let y = 0 - -2. Which is the third smallest value? (a) -3\/4 (b) y (c) 3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 586640?\nAnswer: 586640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4110 is divided by 508.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = -15. Let a be ((-2)\/(-20))\/(2\/k). Let h = 0 + 2. Sort -3\/4, h, a in increasing order.\nAnswer: -3\/4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from waiiwwcwwacwwwtwawa.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 26. Suppose b*q = -d - 43, -13 = q - 5*d + 6*d. Is 11 a factor of (-33)\/(((-4)\/q)\/((-6)\/5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -28. Let l(q) be the third derivative of 0 - 1\/12*q**4 + 3*q**2 + 0*q + p*q**3. Let v(b) = -2*b. What is l(v(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*y + 13 - 3*y - 21.\nAnswer: 2*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4268722069 to the power of 1\/2, to the nearest integer?\nAnswer: 65335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let h be (-4 + 1)*62\/v. Suppose 4*n + 2*c = 48, 4*n - 4*c - 10 = h. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-1 + 8\/1). Let y = h - -38. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -2.\nAnswer: -12, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359152, 359131, 359110, 359089, 359068, 359047?\nAnswer: 359026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = -43*w - 25 - 30 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:08 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) -2\/9 (b) -4 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 20567.16.\nAnswer: 4113.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 57 + 53. Factor -5*x**2 + 10*x**2 - 4*x**3 + s*x**2.\nAnswer: -4*x**2*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = 0. Let s(o) = -146*o - 874. Let c be s(-6). Solve i = 4*p + c*x + 18, p = -x + 2*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-49 - (-12 + -11)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 6*c**2 - 2*c - 9. Let d(h) = -8*h - 54. Let r be d(-6). What is v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 54. Which is the smallest value? (a) 4 (b) -0.2 (c) m (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a + 25. Let q(z) = 1. Let m(l) = 2*q(l) - w(l). Let b be m(7). Suppose -2*g + 2*o + b = -3*o, 21 = 4*g - o. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n + 3. Let v be p(-2). Suppose -40 = -4*d - u, -v*d + 4*u - 2*u + 19 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -211 - -209 - 1*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 166 and 75003.\nAnswer: 75169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2 (c) 1 (d) -639\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22402 (base 5) to base 14\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*b**3 - 6*b**3 + 65*b**3 + (0 + 4 - 3)*(b**2 + b**3 - b**2) + 2 + b**3 - 2 - 4*b**3 + 2*b - 2*b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -3)\/(0 + -2). Let h(q) be the second derivative of 0 + 1\/6*q**4 - 5*q - 2\/3*q**3 + n*q**2. What is the second derivative of h(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*y + 14. Let f = y - -96. Let w = f + -68. Calculate the lowest common multiple of 16 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 34. Solve -5*n + 2*y + p - 5 = 0, y + 12 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45889 - 19088. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/36 + 58\/18. Suppose -k + 3 = 0, 0 = -u*w + 4*k - 3 - 3. Find the first derivative of -9*x**2 + 8*x**2 + w*x**2 + 10 + 3*x**2 wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2368 and 2369 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m*m**(-1\/10)*m*m)))\/m**(1\/6)*((m\/(m**(2\/7)*m)*m)\/m)\/m**1 assuming m is positive.\nAnswer: m**(47\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -887.1337823146 less than -5?\nAnswer: 882.1337823146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:15 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13404817079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*g - 14, -o - 9 = g - 3*o. Suppose q - 49 = 5*v + 1761, 1449 = -4*v + q. Let x = v + 363. What is the third biggest value in g, x, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31350776?\nAnswer: 2, 179, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*t + 12839817 + 656986917 - 84346734. Round t to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -23*m**3\/3 - 3*m**2\/2 + 46*m. Find the first derivative of s(h) wrt h.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662029 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 10*l**2 - 10*l - 105. Let k be j(-10). Let q(z) = -4*z**3 + z**2 + 3*z + 5. Let h(r) = 5*r**3 - r**2 - 4*r - 6. Give k*h(g) - 6*q(g).\nAnswer: -g**3 - g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 2*z - 6. Let m(t) = 5*t. What is h(m(a))?\nAnswer: 50*a**2 - 10*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -17. Let o = s - -16.3. Let d = o + 0.7. What is the closest to 1\/5 in 2\/7, -5, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161186836*l**2 - 136584479*l wrt l.\nAnswer: -322373672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 387994.4325 + -1799824474.4325. Let w = f - -1799436471.00000089. Let c = w - -9. Round c to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/168)\/(1\/((-18)\/(-14))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466727?\nAnswer: 11, 113, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:47 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (8 - 1) + 109*12 + (1 - -1) and 21.\nAnswer: 9219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17480548*l**2 + 17480548*l**2 + 186271*l**3.\nAnswer: 186271*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6948610 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 16 - 0. Sort s, -2, -6, 0.3 in increasing order.\nAnswer: -6, s, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 195 = 5*n, -2*n - 66 = -3*f + 56. Determine o, given that -f - 35*o + 416*o**2 + 10 - 421*o**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3\/3 + 5*j**2\/2 - 3*j - 1. Let n = 5 + 5. Suppose -6*z = -4*z - n. Determine s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290569159?\nAnswer: 11, 117324469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2. Let f(a) = -37*a**2. What is f(n(q))?\nAnswer: -333*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112 - -12?\nAnswer: 21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22189312, -44378621, -66567930?\nAnswer: -88757239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 + 324680*v**2 - 29251575*v + 658388250 = 0. Calculate v.\nAnswer: -65026, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*j - 2*k + 7, -5*j - k = -51. Let u(o) = -117*o + 31. Let v(b) = 58*b - 15. Let a(p) = 2*u(p) + 5*v(p). Is a(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + k**2 + k - 4*k**2 - 17 + 0*k**2. Let v be c(-5). What is the common denominator of -103\/6 and (v\/(-10))\/((-162)\/414)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 104, -4, -1.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -19404111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -972 by 5.\nAnswer: -972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 46*y**2 - 37*y + 364. Let n be z(-45). Solve n*b = 26 - 2 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 - 3*w**2 - 65 + 65 - w**4 - w in the form n*w**4 + d*w + y*w**3 + m + x*w**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What comes next: 61855, 61857, 61863, 61873, 61887, 61905?\nAnswer: 61927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 173 + -102 + 5*-1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-8))\/((-3)\/28). Suppose x - 2 = -2*k - 2*o, -2*k - 4*o = 16. Let u = 8 + k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.5 - -18. Let h = f + -9. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118.5 - -118. What is the closest to 0.1 in 11, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(225*76\/665)\/2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(0 - 10\/15). Let h = 42.6 - 43. Let l be (-3)\/(-45) - 3\/(-9). Which is the third smallest value? (a) l (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26827827 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 2402*u**2 - 24152*u - 312. Give w(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a century in months?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Let v(t) = 12*t**3 + t + 1. Let i be v(-1). Let h be (i\/(-15))\/(4\/10). Is p greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 + 108. What is the third derivative of -64*f**2 + 18*f**2 + 20*f**2 + 21*f**k wrt f?\nAnswer: 1260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18930181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n - 63 - 1\/2*n**2. Let b(q) = -7*q**2. Let j be b(1). Determine s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44\/1187 - 159191\/35610. What is the common denominator of b and -31\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(68) - sqrt(68) - (sqrt(17) - (sqrt(68) + -1*sqrt(68))\/sqrt(4))))**2 + -5.\nAnswer: 28 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and -283.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Suppose 0 = j*y - 262 - 318. Let t = -92 + y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2574 divided by -99\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 97*155\/150350 + (-139)\/10*-1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -309*i + 26752. Calculate b(88).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:36 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + (1 - (-1 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/123 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v - 5. Let u(t) = -t. Let q(l) = 8*l + 2. Let h(i) = -7*i - 2. Let w(d) = 4*h(d) + 3*q(d). Let b(z) = 5*u(z) - 3*w(z). Calculate -7*a(n) - 6*b(n).\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 45 = -3*q + 16*d, 0 = -2*q + 4*d. Calculate the least common multiple of 16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79589 or 79587?\nAnswer: 79589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-6)\/(-26)) - 1. What is the tens digit of (-8)\/f*39\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 45*k**2 + 0*k + 4*k + 63*k**2.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43930884 divided by 5602.\nAnswer: 7842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639910 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41\/111837 or -1?\nAnswer: 41\/111837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -203*t + 611. Let a be i(3). Let q(s) be the second derivative of 1\/30*s**3 - 1\/60*s**4 + 0 + 1\/5*s**a + 25*s. Factor q(n).\nAnswer: -(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 - 7*h**2 + 5*h - 6. Let w be 7 - -2*(-3 + 2). Suppose 0*c - c = -w. Is u(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98, -124, -140, -140, -118?\n\"Answer: o**3 - o**2 - 30*o - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2021684*b**3 + 1874716*b wrt b.\nAnswer: 12130104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 94 = -18. Let g = 81 + y. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.90342*6.113\nAnswer: 5.52260646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t = 300. Suppose h + h = -5*u + 63, -4*h + t = 4*u. Suppose 16 + u = 3*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799, -800, -801, -802, -803, -804?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*s + 7. Let g = 0.07 - 0.17. What is the nearest to g in s, 1\/5, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187 - 26*b**3 + 24*b**3 + 161 to the form r*b + g + m*b**2 + o*b**3 and give g.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o**3 + 0*o**4 + 9\/2*o**2 + 0*o**5 + 0*o - 2*o**6 + 6. Find the second derivative of v(t) wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 238 (b) 4 (c) 4\/5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 + 10*a + 12. Give i(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*s**2 - 2 + 241*s**2 - 4617*s + 4615*s)*(2 + 0 - 1)*(-3*s**3 + s**3 + 0*s**3).\nAnswer: -438*s**5 + 4*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -416 + 684. Suppose 9*m - r = 20. Calculate the remainder when 3\/((-3)\/(-186)*2) is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/840 and 37\/1040?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28168 - 28163. Solve 70*h - s = -3*d + 75*h, d - 4*h = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 23*j + 1. Let x be s(24). Calculate the greatest common factor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*f**2 - 168*f**2 + 3*f - 58 - 167*f**2 + 58.\nAnswer: -2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/2 + 5475*d**2\/2 + 2295537*d\/2 - 2301015\/2 = 0. Calculate d.\nAnswer: -1171, -655, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 - 4*z. Let c be o(3). Let k be (-93)\/4*(2328\/(-432) - 1\/(-18)). Let h = k + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -34\/3, 2\/5, 1, -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099038 plus -0.1?\nAnswer: 1099037.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93325.51l?\nAnswer: 93325510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpa when three letters picked without replacement from zzaaapqiqzez.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 14*k**2 + 42*k - 20. Give j(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from jjjqjjjqj?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 1 + 1)*(-9*u**3 + 2*u**3 + 0*u**3) - 5*u**4 + 2*u**4 + 2*u**4 to c*u + k*u**4 + m*u**2 + x*u**3 + i and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 4. Solve -3 = p*y + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 9*o**2 + 13*o + 5. Let h = 12 + -36. Let b = h - -43. Calculate the remainder when b is divided by s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 166 in -4, 4, 3\/8, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804*g + 3977 = 1763*g for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 59220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 3 - (15 - 20 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + -5 + 1 + 8\/(-2). Suppose -r*w = -1854 - 2766. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1 + 3 - 11*c - 3 - 3. Let z(y) = y**3 - 6*y**2 + 5*y - 4. Let f be z(5). Let n be v(f). Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 9*h + 4 + h + 3*h. Let b be q(16). What is the smallest value in b, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289\/28 + 155\/14. What is the second biggest value in -2\/3, x, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 29*f**2 + 188*f - 2960. What is v(32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 4. Let f be d(-4). Let u(h) = -3*h**2 + 5*h**2 - f*h**2. Let t(j) be the third derivative of -j**4\/24 - j**2. Calculate t(u(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000335823 to 6 decimal places.\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 102 - 8 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*r**2 - 133*r**3 + 15 - 7*r**2 + 120*r**3)*(6*r + 5*r - 3*r) in the form x*r**3 + f*r**2 + b*r**4 + n + z*r and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250.1 + 249.6. Which is the nearest to -3? (a) z (b) -26 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6*14)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 2. Calculate b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/2)*i*i)\/i**(-1))**45 assuming i is positive.\nAnswer: i**(405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*n = -3*n + 9, -5*c + 4*n + 27 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 2 - (8 - 7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -x - 0*x + 86, -m + 3*x = -12. Let c be (-7)\/(140\/(-8))*-10. Let i(j) = j + 5. Let l be i(c). Solve -l = -5*k - 2*h - 16, 2*k = -5*h - m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797, -785, -773, -761, -749?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s**2 - 5*s - 11. Let u be z(5). What is the common denominator of 448\/u - 3\/9 and 19\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1401 + 1462. Solve 69*b - g*b = 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*y - 26. Calculate the remainder when -37*(0 - (-2)\/(-2)) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 15136*h - 80*h**2 + 22*h**3 + 11*h**3 - 356*h**2 - 113929 - 48695 - 29*h**3 = 0.\nAnswer: 21, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*o - 11. Suppose 0*y + 4*y = o. Suppose y*j = -2*w + 45, -93 = -5*w - 4*j + 11. Solve 4*a - w = 0, 11*z - 6*z = -5*a + 35 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2592))*2 - sqrt(2592))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3280*s - 1203198 + 1203198 in the form y + b*s and give b.\nAnswer: 3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3514 - -112?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, 1 j, and 1 p when four letters picked without replacement from twtjttfwwpwtwltj?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1576 * 0.156.\nAnswer: -245.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(13) + sqrt(1053) + sqrt(13))**2 + 1).\nAnswer: 3148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2258 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*(-3)\/180*4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -525*m**3 + 213*m**2 - 2*m - 19203 wrt m?\nAnswer: -3150*m + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/30 + 1\/(-3). Let v = 2.9 - 3. What is the nearest to v in -2\/3, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -1, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 9*h**2 - 8*h + 7. Let k be q(-10). Let u be k\/(-52) + (-767)\/(-4). Suppose -12*z + 16*z = u. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 1.1. Let y = 5.6 - 5. Let j = y - 0.4. What is the third biggest value in s, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 3)*(-a + 0*a - a) + 1 - 1 - 2*a + a + 5*a + 4*a)*(-4*a + 5*a - 2*a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851534?\nAnswer: 2, 541, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/16*1 + (-127)\/(-8) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539866, 1079748, 1619630, 2159512, 2699394?\nAnswer: 3239276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057298319 rounded to 5 decimal places?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607925028 + 607925028 - 154*x**2.\nAnswer: -154*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtktxxxkx. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -25) + -10 + -3. Solve 5*x + 19 = 3*y, 9 = -2*y - g*x - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 - 4*d + 3*d - d + d + d**2. Let t be i(0). Suppose 6*j + 8 = 2*j. Sort t, j, 4.\nAnswer: j, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99279280 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*q - 5*q. Let z = -5 - q. Solve 0 = -4*x - 19 + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -93.9726. Let d = 0.0663 + u. Round d to three decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-1 - -3 - 1). Suppose c + 2*a + 9 = 0, 2*c + 10 = -f*a + 3*a. What is the units digit of (3 - 4) + (c - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2057)*2*-3 + (-6*(sqrt(153) - (sqrt(153) - (-1 + sqrt(153)))) - sqrt(153)).\nAnswer: -87*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 3. Let f = -1 - w. Suppose 0 = f*q + p, -3*p + 0*p = -4*q + 20. Solve -3 = q*b + 5, -22 = 3*m + 4*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 13230 = 50883. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2965*k - 2965*k + 181*k**2)*(3*k**2 + 2*k**2 - 8*k**2)*(3 - 6 + 4).\nAnswer: -543*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -1, 33, -5.\nAnswer: -12, -5, -3, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/43, 6, 15, -0.063?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17420?\nAnswer: 2, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c, 3*u = -5*c + 429. Let a = u + -140. Solve 0*h = -h + a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -11. Let m be 0\/(-1) + (w - -3). Let f = m + -7. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0, 2\/9, 0.4, -1206, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v - 7*v - 12*v + 25*v. Let k(x) = -286*x - 65. Let z(o) = 13*o + 3. Let s(b) = -64*b - 1. Let n be s(1). Let w(y) = n*z(y) - 3*k(y). Give w(t(u)).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + ((-172)\/20 - -1) and -27\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 359\/6 - 60. Let x = 5\/12 - 13\/12. Let b = 1 - 1. What is the closest to b in 4, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjje. What is prob of picking 2 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -19*r**4\/48 - 33*r**3\/8 - 5*r**2\/2 - 655*r - 1. Factor o(q).\nAnswer: -(q + 5)*(19*q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-156)\/(-9))\/(7 + 423\/(-54)). Is u smaller than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -1)*4)**2 + -4 - (-5*(sqrt(153) - -2*(2 + sqrt(153) - sqrt(153))))**2.\nAnswer: -696*sqrt(17) - 1765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20768257469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.85 - 98.85. What is the smallest value in -11, -2\/27, r, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477000 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*1\/((-3)\/176). Calculate the greatest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b - 13. Let n be d(5). Let o(l) = 2*l + 3. Let k(p) = -1. Let q(x) = 5. Let u(j) = -6*k(j) - q(j). Give n*u(a) - o(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*f + 144*f = 5. Which is smaller: f or -2\/95?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - m - 4)*(-4*m + 3*m - 3*m)*(13 + 105 + 86) + 0*m**2 + 3*m**2 - 2*m**2 + (2*m - 5*m + 2*m)*(-2*m - 3 + 3) - 3*m + 3*m + 2*m**2.\nAnswer: 821*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**7\/420 - n**5\/60 + n**3\/3 - 3*n. Let a(c) be the second derivative of m(c). What is the second derivative of a(h) wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2038\/18 + (5 - (-235)\/(-45)). Let f = b + -153. Are f and -39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(3 - 10\/2). Let v(s) = -2 - 2*s + 5*s - p*s. Let x(z) = 1. Determine v(m) + 4*x(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6993 and 73\/351.\nAnswer: 90909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25 - 5)\/((-2)\/5). Let n = 87 - r. Solve 3*h + 0 = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932 = 4*t - w, -2*t = -2*w - 142 - 324. Let z = -114 + t. Let c = -24 - -41. What is the highest common divisor of c and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m**2 + m + 1. Let d(x) = -8*x**3 - 7*x**2 + 4*x + 4. Let t(o) = d(o) - 4*v(o). What is the third derivative of t(f) wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*z + 3\/4 - 3\/8*z**2.\nAnswer: -3*(z - 2)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) + ((-20)\/(-12) - -3). Suppose 4*o - 19352 = a*c, -36*o + 34*o = 4*c - 9688. What is o rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/13 + 1798*q**2 + 270384*q + 96340320\/13 = 0. Calculate q.\nAnswer: -11535, -116, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*a = a - 14, -4*c = -2*a - 20. Suppose -3*t + 10 - 37 = -c*m, -4*m + 37 = -5*t. Solve -m*u = -2*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0889073, 3, 36 in decreasing order.\nAnswer: 36, 3, 0.0889073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - y = 5, -y = -p + 1 - 0. Suppose 379 = p*i - 8*g + 3*g, 5*i - 3*g - 995 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/2)\/b)**(-3\/11)\/((b*b**(1\/8)*b)\/(b*b**(1\/10))))**48 assuming b is positive.\nAnswer: b**(-2346\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1. Let i(q) = -49*q**2 + q - 6. Let c(k) = -10*h(k) - 2*i(k). Is c(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + ((-116)\/(-64) - -24)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 18*m - 340. What are the prime factors of o(46)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(693)\/(sqrt(11)*-2))\/sqrt(9).\nAnswer: -2 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 157. Let h be (-52)\/(-156) + (-7)\/6*-34. Suppose 5*q + k - h = 4*k, -d = -4*q - 5*k. Calculate the remainder when 74 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56092 (base 12) to base 15\nAnswer: -23c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 2*p - 4*p + (-4 + 2 + 0)*(0*p - 2*p + 4*p) - 12*p + 63 - 63.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2838 and 6.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 6*x**2 + 2*x + 500. Let l(h) = 7*h**3 + 11*h**2 - 5*h - 999. Let p(b) = 2*l(b) + 5*z(b). What is the first derivative of p(a) wrt a?\nAnswer: -3*a**2 - 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 3*sqrt(2)*2)) + sqrt(2) + (sqrt(14)\/sqrt(7) - sqrt(2))*2.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 658. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 - 7*n - 5. Let v be s(-5). Suppose -5*j + v + 5 = 0. Put j, 1\/5, -2\/7 in increasing order.\nAnswer: -2\/7, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*h = -0*k + 1, -4*k + 19 = h. Suppose -k*v + 12 = -2*v. What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.778424 * -17\nAnswer: 30.233208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.63949 days in microseconds?\nAnswer: 6708051936000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j + 2. Let v(c) = 8*c + 1. Let u(w) = 5*o(w) - 7*v(w). Let t be u(3). Is 15 a factor of 6\/t - (-146)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 1029 = 3*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 6 = 37*x. Suppose -3*c = -3*u + 114, -x*u - 37 + 110 = -5*c. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((-10)\/(100\/15)). Suppose -3*t + t = -12. Solve 15 = -3*c, -t*i + p = -2*i - 4*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 - 10*b + 19. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*d = -253*d + 519*d - 405 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768105 is divided by 109729.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -293\/945 - 17\/189. Let t = 1.9 + -2. What is the nearest to 0.1 in m, 22, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14611, -14658, -14789, -15046, -15471, -16106, -16993?\nAnswer: -18174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24679.999949795 + 24680. What is z rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19888933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/697 and 81\/22?\nAnswer: 15334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 637*o**2 - 21 + 46 - 25 to the form q*o + p + w*o**2 and give w.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let y(u) = -2*u**3 - 21*u**2 - 11*u - 5. Let p be y(-10). Let k = -6362 + 6366. Solve -p*s = o - 2*s + 4, a = -k*o + s + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*a + 2*a**3 + a**3 + 124*a + 3*a**2 = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, -115, -12, -5, 6 in ascending order.\nAnswer: -115, -12, -5, -4, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -10\/117, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 13*b**2 - 525*b + 208. Determine f(-20).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*a**2 - 89*a**2 + 185*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/10 + 348883*x**2\/10 + 174442*x\/5 = 0?\nAnswer: -1, 0, 348884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-3))\/(4\/(-112)). Let h = p + 74. Let g = 7\/30 + 1\/10. What is the nearest to h in -2, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 1179 = -3*o - 1572, -o + 0*o + 37 = -2*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58733 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 22321223001312?\nAnswer: 22321223001302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337\/5 + -67. What is the second smallest value in -10, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 93*i**2. Let o be x(-1). Suppose -w = -2*w + o. Suppose 0 = 3*q - 12 - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 8994*n - 6741003.\nAnswer: -3*(n - 1499)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((-912)\/80)\/(78\/60).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -42*d - 1299. Let a be r(-31). Solve -5*o + a = -3*k - 2, -3*k - 3*o = 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 1 + 41*j**2 - 1.\nAnswer: -2*j**3 + 41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -917 - -1784. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 6)*(-2251*x**3 - 1682*x + 1682*x + 792*x**3) to b + l*x**3 + y*x**2 + s*x and give l.\nAnswer: -14590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13119 + 13539. Solve -385 = -7*b - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -5. Let d = b + 14. Suppose -d*a + 311 - 99 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 18*h**2\/5 + 33*h\/5 - 18\/5.\nAnswer: 3*(h - 3)*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 3 + -4)**2.\nAnswer: -12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293\/59 - 41318\/531. Let r = h + 83. Find y such that -2\/9*y - r*y**3 + 4\/9*y**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(567) + ((sqrt(847) + 2)*2 + sqrt(847) + sqrt(847))**2.\nAnswer: 361*sqrt(7) + 13565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*774\/(-20)*(-235)\/(-517)*176\/96?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 14. Let x be b(7). Let a(d) = 0 + 2*d + 0 + d**2 - x. What is the units digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/264)\/((-2)\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a millennium in decades?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 15 = 20*d - 23*d, 3 = -3*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(108\/8)\/(-9). Let s = -2 + 6. Put l, s, -2 in ascending order.\nAnswer: l, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = -7 + 43. Let n be 2\/c*(24 + 4\/2). Suppose -n*k + 7*k + 1086 = 0. What are the prime factors of k?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/35*5*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y + 3*y + 2*y - 12322 + 12322 + 144*y + (-y + 2*y + y)*(-2 + 2 + 1).\nAnswer: 145*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {x: 2, z: 4, f: 1, a: 7, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/308)\/((90\/24)\/(70\/(-16)))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 + 1.1. Let x = -11 - -7. Let b be 0\/(-1) - (-1 - x). Is b smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35\/2, -0.4, -5122?\nAnswer: -5122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z + 5. Let b(m) = 4*m + 2. Let v(u) = 5*b(u) - 3*j(u). Let n = -36 + 40. Let i be -2 + -3*(-3 + n). What is v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7804 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -11. Let b(d) = -d + 2. Determine b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18200.00000454 - 18200. Round i to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/15*(-3897)\/(-3464)*(-30)\/69?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-4)\/(-6)))\/((-126)\/168). Suppose -76*b + 77*b - 6 = -z*s, 2*b + 4 = 4*s. Solve 0 = s*h + 6*h - 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/10)\/(-3)*(-6)\/(-72)*4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13.9. Let t = z - -1.7. Let f = t - 1.7948. What is f rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + (-9821)\/(-115). Let q(f) = -4*f**2 + 4*f + 2. Let h be q(4). Let y = w + h. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppmm. Give prob of sequence mpm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*(a*(a**1\/a)\/a)\/a)\/(a**(-3)\/a**6) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 69*c + 190. Let p be w(32). Put 1, -15, 0.4, p in increasing order.\nAnswer: -15, 0.4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/105 + g**4\/42 - 38*g**2. Factor j(n).\nAnswer: 4*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 17 = 3*a, g + 19 = -5*a - 4. Solve -7*f = 9 - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 10. Let i be s(-5). Let b = -0.2727 + -0.0273. What is the second smallest value in b, i, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65513 is divided by 280?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/17584 and -81\/4.\nAnswer: 17584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6))**(2\/15))**(-10) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816 divided by 1.\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {g: 2, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w, m - 3*m - 16 = -5*w. Solve -3*n - x = -7, 0 = -m*x - 0 + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129236.\nAnswer: 2, 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (16 + -18)*(-4)\/(-8)*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 37*t**2 - 132*t - 9. Determine b(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1687*z + 61004 + 18345 = -42619 + 30870 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343) + -3 + (-2 + sqrt(343))*-4 - (-4 + (sqrt(343) + 0 - sqrt(343)) + sqrt(343) + -3))**2.\nAnswer: -1008*sqrt(7) + 12492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 + (-984)\/(-54). What is the highest common factor of x and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + w - 4*w + (-4 + 0 + 5)*(2 - w - 2) - 14 + 14 + 37*w)*(2*w**3 - 4 + 4) to the form x*w + k*w**2 + u + g*w**3 + z*w**4 and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66910, 133845, 200766, 267667, 334542, 401385, 468190?\n\"Answer: -d**3 - d**2 + 66945*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441322647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-4 - -14 - (2 + 0 + 8 + 5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 113*p - 6. Let d(s) = -2*s**2 - 23*s. Give a(d(b)).\nAnswer: -226*b**2 - 2599*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -170*s - 15*s + 5180. Put s, -17, -1, -3 in decreasing order.\nAnswer: s, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4810886*t**2 - t - 2962786?\nAnswer: -9621772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1229, -1522, 45, 4402, 12479, 25206, 43513, 68330?\nAnswer: 100587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i + 8. Calculate h(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 97*b - 101*b = -26, -444*h + 3*b - 2661 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-328)\/3280 + 4\/(-10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 1, -349, 10, -5 in decreasing order.\nAnswer: 10, 3, 1, -5, -6, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 2\/11, 0.13, -5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-804 + 138)\/(121\/22 - 1)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 9*v**2 - 7*v - 29. What is f(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 = 4*k + k, -2 = 2*k + 4*g. Suppose 5 + k = 3*u. What is the remainder when 11 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - a**5 + (-3*a - a + 0*a)*(16*a**3 + a**4 - 16*a**3)*(3 + 0 + 1).\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {e: 15, y: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18427 - 18427.0004868. What is y rounded to five decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose 4\/3 - c*p + 2\/3*p**2 = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 4*i - 5*i + 2, 3*i = 5*s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-7) + 1*-9. Let y = -33 - -59. Suppose -w + 18 = -3*p - 1, -4*p - y = -w. Is b != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64822 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*9\/(-18))\/(9*77\/126).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (18401 + 49612 + 21501 - 12976 + 14411)*(-1 + 1 - 2*n) as c*n + y and give c.\nAnswer: -181898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/2 - 67*o**4\/2 + 2081*o**3\/2 - 9217*o**2\/2 + 7060*o - 3458 = 0. Calculate o.\nAnswer: -91, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153474, 153481, 153488, 153495, 153502, 153509?\nAnswer: 153516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 14. Let q be b(-9). Suppose -458 = -q*k + 142. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4459903, 8919827, 13379775, 17839759, 22299791?\nAnswer: 26759883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b49be - -51?\nAnswer: 3b4a0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 14) to base 4\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((184\/23)\/(-2))\/(4\/(-12242))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 6*b + 3. Let f be v(-6). Let j(a) = -5 + 7 - a**2 - f*a + 0*a. What is j(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**3 + 8*n**2 - 6*n**2 - 21 - 13*n**3 - 7 - n**2 + 13*n**3.\nAnswer: -23*n**3 + n**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -104+213593\nAnswer: 213489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 3*u + u**5 + (-4*u - u + 4*u)*(-2 + 2 + 2)*(2*u**4 + u - u).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*u**2 + 16*u - 909?\nAnswer: 22*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-16)\/82) - 5\/40. Suppose 0 = q*y + g - 12, 4*y - 5*g + 8*g = 14. Find the third derivative of 6*m**6 - 11*m**6 - 37*m**6 + 33*m**y wrt m.\nAnswer: -5040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(((-45)\/(-5))\/(-9)*1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/129843?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 331?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 2. Let v be 36\/3 - 1*-1. Suppose -5*r + v = -2. Let p(b) = -15*b + 8*b - 16*b - 10 - 3*b. What is r*p(f) - 16*a(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14189 or 14188?\nAnswer: 14188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36896628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5 - 1. Let r = 14 - 10. Suppose -6*p = -2*p + 2*a - 2, -2*p + r = -l*a. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7430, -29904, -67356, -119780, -187170?\n\"Answer: z**3 - 7495*z**2 + 4*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11038195 is divided by 1174.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24365 and 8860.\nAnswer: 97460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 3. Suppose 5*z = -36 - h. Let n = 14 + z. Let d(a) = -6*a**2 + 2*a - 1. Give d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/((j**28\/j)\/j)))\/j**(1\/20))\/((j*j\/j**(-3\/17)*j*j)\/(j**(28\/3)*j)) assuming j is positive.\nAnswer: j**(31729\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/6107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 57 = 4*w. What is the hundreds digit of 105 + (-3)\/(w\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17749588*z - 17749803*z = -645 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -48 + 4*m + 22 + 22. Let j(o) = -o + 1. Calculate -10*j(d) - 2*w(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -444 times 3.5\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -11, -21, -35, -53, -75, -101?\n\"Answer: -2*y**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 86 = 4*h + 41 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -75*v - 28. List the prime factors of b(-21).\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 + 2*w**2 - 2*w**2 + 5*w**3 - 6*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**4 - 752615 - f**4 + 752755 + 5*f to g*f**2 + y + q*f + o*f**4 + h*f**3 and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9037 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: Simplify (sqrt(156)\/(sqrt(48)\/sqrt(4)))**2 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(68) + 4 + (1*sqrt(68))**2 + (sqrt(68) - (sqrt(68) + 4)) + 0.\nAnswer: 2*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78885907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 7. Let i(k) = -k**2 - 10*k - 10. Let s be i(m). Solve 2*r - s*r = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 0.5, 230.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39902.\nAnswer: 2, 71, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 8*m + 8. Let o(k) = -11*k**2 - 4*k - 2. Let v(c) = 4*c**2 + c + 1. Let h(d) = -6*o(d) - 17*v(d). Let r be h(4). Is i(r) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 5*m**2 - m - 4. Suppose -2*t = -t - 2. Let g be 2 - (4 + 1) - t. Give w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(78)\/sqrt(6) + -4 - (sqrt(1573)*-1 + -1*sqrt(468))) + 5.\nAnswer: -1 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16309 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 93, 220, 575, 1272, 2425?\nAnswer: 4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 17 = 107. Suppose 5*f = 7*f - d. Solve -2*v - m + 28 = 4*m, 0 = -f*v + 5*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27977 and -0.123?\nAnswer: 3441.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l - 20 = 0. Let o(j) = 8*j + 79. Let p(m) = -6*m - 57. Let u(x) = -7*o(x) - 10*p(x). Determine u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6664, 5, -4 in decreasing order.\nAnswer: 5, -3, -4, -6664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 2*i - 5*i + i - 4. Let t be z(-5). Let p(l) = -l**2 - 7*l + 3. Let g be p(-7). Solve -t = -3*h, -4*d + g*h - 6 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 1. Let t be i(2). Which is the fourth smallest value? (a) 1\/5 (b) -11 (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*r + 15 = -r, k + r - 1 = 0. Suppose u + 3*u = -k. Let h(w) = 5*w + 3 - 1 - 3 - w. Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + x**2 - 6*x + 0*x + 3*x**2 in the form t*x + o*x**2 + c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0 - -3 - 1) + (-31 - -28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 42\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let o(s) = 5*s**2 + 4*s - 1. Let a(m) = -5*m**2 - 3*m + 1. Let f(c) = h*a(c) - 2*o(c). Is f(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/2*t + 147\/4 + 3\/4*t**2.\nAnswer: 3*(t + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55189669*g + 95 - 55189665*g - 57 - 38.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 64 + 11. Let g be 12\/(-42) + (-30)\/(-7). Suppose -969 = -g*l - s*z, -8 - 4 = 4*z. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/483 or -1?\nAnswer: -20\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -702 by -234.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2369706 or 2369705?\nAnswer: 2369706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5.6 (b) -1\/7 (c) -0.4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25065 is divided by 302.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74947*v**3 + 31*v**2 + 155751*v + 2?\nAnswer: -449682*v + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*q + 292*q = -888. Sort q, -7, 4, 19 in decreasing order.\nAnswer: 19, q, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 33. Is 11 a factor of f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 3*l - 22\/3.\nAnswer: (l - 11)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-40) - (-574)\/980.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -84. Let o = 0.1113 + -2.1113. What is the second biggest value in h, 2, o, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330609576 to the power of 1\/2, to the nearest integer?\nAnswer: 18183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(9\/((-45)\/5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.858 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i + i + 3*i + (-i + i + 2*i)*(1 + 1 - 4))*(0 + 0 - 3*i)*(-2 - 4*i**2 + 2).\nAnswer: -192*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 - -1076\/7. Suppose 2*f - w + 10 = 0, -9*f - 20 = -5*f - w. Which is the closest to o? (a) f (b) -10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214 and 8145268?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:48 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30\/14 - (-82)\/((-490770)\/12195)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.648 - 1.148. Sort 7, -8, -2, a in descending order.\nAnswer: 7, a, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(22\/264)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-128 - -116) - (-84 - -4).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -34*t. Let c be 55*(-2 - t) + (-2 - -3). Let i = 208 + c. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15413, -14979, -14201, -13037, -11445, -9383, -6809, -3681?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i - 26*i**2 + 108*i.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 124.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22540 - -22544. Let p(z) be the third derivative of 0 + 6*z**2 + 3\/4*z**3 + 5\/16*z**o + 0*z + 1\/40*z**5 - 1\/80*z**6. Factor p(s).\nAnswer: -3*(s - 3)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f - 55. Let w(r) = -28625*r - 1. What is w(k(y))?\nAnswer: 229000*y + 1574374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 6*i + 2. Let c be m(-6). Suppose 5*z + 152 = z - 4*a, -c*a = -4. What is z rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -6*r - 138. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 19*r + 22*r - 28 = 0, -4*d - 3*r - 4 = 0. Let q be (-108)\/63 - (-1 - (-9)\/7). Sort d, 3, -7, q.\nAnswer: -7, d, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106521 divided by -3?\nAnswer: 35507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 7*w**6\/30 + 5*w**2 + 8*w. What is the derivative of u(z) wrt z?\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4965*i + 34816. Determine v(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1057.4 + -916. Let d = -141 + t. Let m = -3.9 - -4. Which is the nearest to m? (a) 4 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4212364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1084860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Let n(r) be the second derivative of 1\/3*r**3 + 3\/28*r**7 - 2*r + 0 + o*r**2 - 5\/6*r**4 - 1\/2*r**6 + 37\/40*r**5. Factor n(x).\nAnswer: x*(x - 1)**2*(3*x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758526179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 34 = -a, 3*a + 5*u - 50 - 52 = 0. Let z be 83\/861*2 - a\/357. Is z less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Let d(s) = s - u*s - 1835*s**2 - 5164*s**2. Let o be d(3). Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/22 and 139\/576?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + h - 11 = 0, -4*h + 11 - 63 = -4*d. Let f(t) = -105*t + 205*t - 99*t - 13. What is f(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqq. What is prob of sequence qgq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -498, 0, 1 in decreasing order.\nAnswer: 1, 0, -54, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -28. Let s(p) = 15*p + 10. Let q be s(9). Let t = -3334\/23 + q. Which is bigger: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7535.48604+1\nAnswer: 7536.48604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 36. Which is the smallest value? (a) -46 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = -c. Suppose -2*h - 680 = -c*h. Suppose 5*g - 139 = h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/72)\/((-10)\/1020) - 18.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11733 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 6*q - 20. Let m(w) = w**3 - 3*w**2 - 4*w + 3. Let b be m(q). Sort -22, -5, 5, b in decreasing order.\nAnswer: 5, b, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 15.9.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-3625 + 3)*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*a**3 + 68*a**2 + 8*a + 224293 wrt a.\nAnswer: -60*a**2 + 136*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7917 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*12025\nAnswer: 3607.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3) + -4 + -2. Let a be d\/36 + (-220)\/(-18). Suppose -3*v - 4*j = 2 + 2, -3*j + 8 = 5*v. What is the greatest common factor of v and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 1, v: 1, c: 2, y: 2, a: 3}. Give prob of sequence jooj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10846149 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-44))\/((r\/r**(1\/22))\/r))\/(r**(-1\/7)*r**(9\/4)) assuming r is positive.\nAnswer: r**(13225\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 11 = -2*b. Let y(g) = g**2 - 2. Let l be ((-1)\/3)\/(2\/(-66)). Let d(q) = -q + 16. Let z be d(l). Let f(k) = 2*k**2 + k - 5. What is b*f(w) + z*y(w)?\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 330*h + 5106. Let c(w) = 5*w + 2. Let j(y) = -7*c(y) - u(y). What is the derivative of j(q) wrt q?\nAnswer: -2*q + 295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -27981 (b) 3\/8 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(8) + (sqrt(6)\/(sqrt(6)\/sqrt(2)))**2 - (-4*-1*sqrt(72) - sqrt(72)).\nAnswer: -20*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3424311 (base 5) to base 15.\nAnswer: 13206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.903 + -0.097. Is -3 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:58 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 925817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2779?\nAnswer: 3\/2779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(-3 + 1 + 1)*(4 - 4 - 2)*(-3*y + 0 + 0).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -442, 4, 1, 0, -4, 27 in increasing order.\nAnswer: -442, -4, 0, 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9392, 75242, 253966, 602000, 1175780, 2031742, 3226322, 4815956?\n\"Answer: 9406*a**3 + a**2 + 5*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*o - 11, -o + 0 + 5 = 2*g. Suppose 3*l - 6*l = -6, -4*u + 14 = l. Let n(x) = -4*x + 6 + 0 + x**2 - 7 + u*x. Determine n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21296 and 21298 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74666 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 2, o: 1, n: 3, w: 4}. Give prob of picking 1 n and 1 w.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -3 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41593, 83464, 125335, 167206?\n\"Answer: 41871*d - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -574 divided by -562684.\nAnswer: 7\/6862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -421253?\nAnswer: 421253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 + 1. Let b(y) = -49*y - 127*y + 176*y - 15*y**2. Give d(b(z)).\nAnswer: 1350*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000429286875 rounded to 7 decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - 15)*(2 - 1). Let b be ((-1)\/2)\/(s\/186). Suppose 15*g - 44 = b. Solve -p - 8 = -g*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933 = 16*f + 213. Let w be (-75)\/f*6\/(-5). Solve x = -1, 5*r + 1 = w*r + 5*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/((100\/6)\/10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27921, 27917, 27913, 27909?\nAnswer: 27905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/((-10)\/16 + 295\/1600*24).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201*h**2*q**3*y + h**2*y - 182*h**2 + q**3 - q*y wrt y?\nAnswer: -201*h**2*q**3 + h**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 16 = -5*s - 17, -2*s = 4*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 2, 3, -3663, -2 in descending order.\nAnswer: 4, 3, 2, 0, -2, -3663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/6426*-3*112\/(-48)*12\/(-8).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.435468l to millilitres.\nAnswer: 435.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1287 and 143.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i - 3*i + i)*(2*i + 2*i - 2*i) - i + i + 2*i**2 in the form s + n*i**2 + v*i and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 54. Let l be s(26). Calculate the highest common factor of 140 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 10*u - 1. Let q be n(-10). Suppose 8 = 2*l - 4*o, 2*l + l + 2*o = -20. Sort q, 0, l in decreasing order.\nAnswer: 0, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = r - 5*n, n = 4*r - n + 494. Let b = -65 - r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 147 = -167 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34871 and 3133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2280 - -2282. Solve 5*y = -a*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1022347742 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13374, -12692, -10798, -7086, -950, 8216, 21018?\nAnswer: 38062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195324 and 432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*x**2 + 139*x + 3 - 139*x to the form h*x + i + q*x**2 and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 y when four letters picked without replacement from yzyyyzzyzyzzz?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8459158 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -0*n - 0*n + 2*n - 8, f - 68*n = -36*n + 137 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 8088\/(-2031) + 3. Let g = s - 49613\/10832. Calculate the common denominator of g and -91\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-13 + (-6 + 16 - 11) + 31)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*(-3)\/(-66))\/(24\/(-264)). Sort -1, 102, c in descending order.\nAnswer: 102, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Suppose -10 = 5*y, 0*v - 24 = -5*v + 2*y. Let h be c(v). Solve -4 = h*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 852 divided by 426\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0658 - -0.093. What is y rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -23*o**2 + o + 2. Let d(c) = -10*c. What is f(d(b))?\nAnswer: -2300*b**2 - 10*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*l + 5*c = 223*l - 3, 0 = 3*l + c - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*h - 13. Suppose -i = -7*i. Suppose i*d = h*d - 84. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266543100 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/sqrt(3)*-1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3926, -3913, -3896, -3875, -3850, -3821, -3788?\nAnswer: -3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/((-1)\/(-4)) - 7. Let i = 3.9 - 4. Which is the nearest to -0.1? (a) -4 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3 - t + 4*t - 19*t. Let d(v) = -16*v + 2. Let f(o) = -3*d(o) + 2*u(o). Let q(c) = -8*c. Determine q(f(h)).\nAnswer: -128*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 37. What is the remainder when 0 + (t\/4 - 0) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28 - -4)*837\/12. Let n = -3984 - t. What is the common denominator of 61\/6 and 2\/3*n\/1624?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -x, x - 3 = n - 2. What is the second derivative of -11*t**3 + 7*t + t**x - 2*t**3 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, 5, 16?\n\"Answer: 11*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -1332, -1997, -2662?\nAnswer: -3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 3. Let z(q) = q + 3. Let w(y) = -5*f(y) + 6*z(y). Let m be w(7). Let a be 25\/m*12\/15. Solve a*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/5)\/g)*g*g*g**6*g)\/(g**1*g*g**(-2\/5)))\/((g**(-3)*g)\/g**(-4\/3)*g**(-3)*g*g\/g**(-2\/11)*g) assuming g is positive.\nAnswer: g**(1697\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from mmkkwamkakwkzzzk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (600\/108)\/(88\/396)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**4 - 494*z**2 - 6*z - 1357. Let g(f) = -f**4 - 491*f**2 - 9*f - 1359. Let c(v) = -4*g(v) + 6*k(v). What is the derivative of c(a) wrt a?\nAnswer: -8*a**3 - 2000*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -22. Let w = 3 + g. Which is the closest to -1? (a) 3 (b) w (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(4\/7)*d*d*d\/d**(3\/5)*d*d*d*d)\/((d*d*d\/d**(-20)*d)\/d*d)**(-1\/2) assuming d is positive.\nAnswer: d**(659\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.1. Let f = -5.221 + 0.121. Let o = f + 5. What is the biggest value in -0.2, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3\/4 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 179? (a) -1 (b) 1\/9 (c) 0 (d) -24\/11 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 11310.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 27*u + 18. Sort u, 37, 5.\nAnswer: u, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p + 9*p - 9*p + 157 - 157 + 20*p + 12*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5229777637?\nAnswer: 7, 747111091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:41 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.06, 0, 0.3, 8, -14\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5769*m + 748 = 5725*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = 2 - 2. Suppose f = -2*b - 11 + 107. Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (7 - -12) - (19 + -23).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 226*d**2 - 10*d - 16. Let f be y(-9). Let h be 16\/(6\/3*1). Suppose h*n - f + 235180 = 0. Round n to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 754452 by -9.\nAnswer: -83828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2636.6 and -2.383.\nAnswer: -6283.0178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 423*i + 77837. Let m be c(-184). Solve 1\/5*z**m + 0*z**3 + 0 - 4\/5*z**2 + 3\/5*z**4 + 0*z = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/43 + 93\/301. Let k = -10 + 11. Which is the nearest to k? (a) -4 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*-1*3. Suppose 0 = 4*c - 2*n + 16, -4*c - 14 - 14 = -5*n. Let u be ((-4)\/20)\/(c\/2). Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 13 - (-3 - 2 - 15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.6\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p - 77. Determine n(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*r - 4220 = -13940, 4*l - 12989 = 3*r. Let h = 5578 - l. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 + 3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2 - 4) - 1. Let d be 4 - k\/1 - -2. Suppose -5 = -i - r, -5*i = -4*r + 2*r - d. Solve -4*t = -i*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 240 = 17*a. Calculate the highest common divisor of 272 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/162)\/10 - (-105)\/(-3240)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-26)*(1 + (-7)\/5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(448) - (2 + (sqrt(567) + 1)**2) - ((sqrt(7) - (sqrt(189)\/sqrt(3))\/sqrt(9))**2*-1 - (6*(-1 + sqrt(7)) - (1 + sqrt(112)))).\nAnswer: -577 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.039 and 4?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) -308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 12*r**2 - 15*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 15*l - 51. Let o be k(-8). Let c = 0.1 - -0.2. What is the smallest value in c, -4, -1\/6, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001333268 to five decimal places.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20*v - 26. Suppose -2*m = -3*m + 5. Let c(n) be the third derivative of -7*n**4\/24 - 3*n**3\/2 + n**2. Let o(b) = m*l(b) - 14*c(b). Give o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5)*3) + sqrt(605) + 3*sqrt(605) + sqrt(605).\nAnswer: 166*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*a = -36, -2*i + 4*a + 13 + 21 = 0. Let w = 35 + -30. Suppose 0 = 2*m + 1 - w. Solve -m*l = -i*l + 4*v + 21, 2*v + 7 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -172*h. Let m be g(2). Let z = 489 + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*a = 78*a - 4*r + 2, 1440 = -67*a + 5*r + 986 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-8)\/(-2))*(-9 + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56644 + 3*c**3 + 2*c**3 + c + c - 3*c**3 + 2*c**2.\nAnswer: 2*c**3 + 2*c**2 + 2*c - 56644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 273 + 0 + x**3 + 0*x**3 + 538 + 198 - 2*x in the form g*x**2 + k + v*x + s*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0 - 6. Suppose n*k - 4*r + 16 = 0, -4*k - 2*r = -0*k - 8. Suppose 3*v + 117 - 654 = k. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -5. Suppose 0 = -2*f - 2*u - 12, 0 = -0*f - 3*f + 2*u - 3. What is the remainder when 21 is divided by (-58)\/d + f\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = -18. Let x = -1033 + 1021. Sort p, x, 4 in ascending order.\nAnswer: x, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 88*i**2 + 484*i - 77. Calculate o(-34).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 288 = 41*y. Calculate the common denominator of 23\/22 and -1 - (-172)\/22*3\/y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 9 - 19) + 984\/197. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49502.87888 rounded to the nearest integer?\nAnswer: -49503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/176 and 31\/17574064.\nAnswer: 193314704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763104106?\nAnswer: 2, 19, 199, 100913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 417*f**2 + 6312*f - 10980.\nAnswer: 3*(f - 122)*(f - 15)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*o + 14. Let r(i) be the second derivative of 0 + 0*i**o - 4*i**2 - 1\/12*i**4 + i. Calculate r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - 4*(6*sqrt(152) + sqrt(152) - sqrt(152))))\/(-5*((sqrt(8) - (sqrt(64)\/sqrt(8) - sqrt(8))) + sqrt(8))).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = -3. Solve -10 = -5*v - u, -3*u + 4 = 3*v - a*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 262\/231 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v = -73*v + 3*h - 13, 2*v + h - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 1960 = 0. Suppose -r = 3*l + 2*l. Let s = 137 + l. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 2*h - 37*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -519 and -0.07.\nAnswer: 36.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 25 = -4*s, -3*s - 28*x - 38 = -24*x. Suppose -14 = -4*y + k - 0, 4*y - 10 = -k. Solve -s*m + m = y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1048095 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17152, -34257, -51366, -68485, -85620, -102777, -119962, -137181?\nAnswer: -154440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 57*x**2 + 14523*x - 3058. Calculate y(-255).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23 - 439)\/(1\/2). Let a = j + 1537. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 2*u)*(-4 + 6 - 4) - 5 - 1 + 5 + 4*u.\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 0*w + 0*w + 2 + 0*w as b + r*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98072.01ug in nanograms?\nAnswer: 98072010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1499 + 1509. Solve -54 + 4 = -j*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*c + 4020 = -5*b, -4011 = 3*b - c. Let d = -927 - b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -12621a8?\nAnswer: 12621a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Let h(w) = 9*w - 4. Let g be h(4). Suppose -4*c + g = 8. Solve 0*b = k*b - c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let t be (12\/(-28))\/(9\/(-6)*-1). What is the closest to t in 2\/3, -4\/7, p?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**8\/3360 + s**7\/2100 - s**6\/400 - s**5\/120 - s**4\/120 - 12*s**2. Suppose k(j) = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + n**2 + (n - 3*n + 3*n)*(-2*n + 3 - 3) + (0 + 1 + 1)*(0 + 0 - 4*n)*(-2 - 1997*n + 1403*n + 1275*n) in the form m*n**2 + l*n + h and give m.\nAnswer: -5449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1)**2 + sqrt(2) + (sqrt(2) - ((sqrt(2) - (sqrt(2) + sqrt(2) + 4))*-5 + sqrt(2))).\nAnswer: 14*sqrt(2) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -47. Let m = -19.8 - t. Let w = 10 + -7. What is the closest to m in 2\/9, w, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -126. Suppose 4*d = -z + 92, -d + 3*d - 4*z = s. Calculate the highest common divisor of 72 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -148. Suppose x = 3*r + 3*g - 69, 5*r = -g - 3*g + 116. What is the highest common divisor of 132 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6944160 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4.3, 0.7, -6, 1, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-2 + 1)*1. Let g be 5 + 2 + (-2 - s). Let k be (-38)\/(-4) - (-5)\/(-10). Solve 11 + k = -f + 4*c, 2*f + g*c - 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 4. Suppose -3*p - 6 + 29 = 4*r, -4 = -4*p. Let k(t) = -4*t - 9. Calculate r*b(j) + 2*k(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1, -5, 4\/599, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704532 - c**2 - 1704532.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1826\/48 - (-18)\/(-27). Let m = z - 2611\/72. Find h such that -16\/9*h + 8\/9 - 2\/9*h**3 + m*h**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22800\/266)\/(-25)*21\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*y + 11 + 13 = 0, y - 2 = -j. Suppose -a + 12 = -l + j, l = -5. Solve -3*g + 0*g = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqiitutliiutitll. What is prob of sequence iu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*f + 2*f - 11, -b - 2*f = 3. Let k(o) = 14*o**3 - 12*o**2 + 12*o - 12. Let u(v) = -v**3 + v**2 - v + 1. Determine b*k(x) + 12*u(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235\/1175*45\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (318\/12)\/(2\/4). Let b be (2 + 0)*(s + -9). Let v be -1*(-4)\/(-10)*-20. What is the highest common factor of v and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4359 - -4363. Calculate the highest common divisor of 3512 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -56. What is the remainder when z is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.995 + 2.995. Let f = 877 - 19297\/22. Which is the second biggest value? (a) f (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(891))*2 + -1 + 3)**2.\nAnswer: -21480 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173238 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -5) - (-10 + 43).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4188 + 8376 - 4188 - p**2. Let t(k) = -k**2 + k - 1. Let q(v) = -3*v**2 + 4*v - 4. Let c(o) = q(o) - 4*t(o). Give -2*c(n) + 2*z(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 5*i, 9 = -3*p + 5*i + 1. Let w(k) be the third derivative of -k**5\/12 + k**4\/24 - k**3\/6 - 9*k**2. Let m(v) = -v**2. Give p*w(f) + 6*m(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-13)*6\/3*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -44*t - 43. Is h(-7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 4*c**2 - 9*c + 9. Let u = 9 + -17. Let v be u + 1 + 0 + 2. What is the units digit of h(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 28 = 550*r - 539*r, -k = 6*r - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56162, -224725, -505692, -899063?\nAnswer: -1404838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + (((sqrt(72) - sqrt(72)*2) + sqrt(72))*-5*4 + 3)*2 + 1)**2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7)\/(3\/6) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -121*p + 2369. Let o be y(19). Is o < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-10)\/(-70) + -12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {q: 4, r: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0088287 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 30, 1\/3, -0.3, 1617?\nAnswer: 1617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 4)*(2 - 1 + 1)*(-18 + 11*d + 18) in the form l*d + k and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, r: 2, c: 1, p: 1, g: 1}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16*z**3 - 13*z**2. Let k(p) be the first derivative of -p**4 - p**3 - 2. Let c = 27559 + -27553. Determine c*q(m) - 26*k(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -8, 2*z + 2*s = 10 - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 104. What is the closest to -2 in h, -0.05, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346073390 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*f**2 - 133*f**2 + f**3 - 7*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*l, c = 2*l + 3 + 3. Solve 2*h = d - 6, 0*d = -4*h + c*d - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5 + 11. Suppose -4*y + q + 20 = 5*q, -5*y = -x*q - 18. Calculate the common denominator of (y - (-127)\/(-32))*66 and 13\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {x: 2, n: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -274432 divided by -137216?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and (-59)\/(-9)*(-36)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**2 + 16*m**3 + 3*m**2 - 11*m**3 - 5*m wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 21. Let c = 173 + -172. Let t = c - k. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*a - o, 0*a + 5*a - 2*o - 5 = 0. Is a at most as big as 1\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -72.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 442?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/5*o**2 + 276\/5 + 76*o = 0.\nAnswer: -23, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34906686 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -14. Let a(f) = -56*f**3 + 5*f - 6*f**2 - 3 + 57*f**3 - 2*f + 10. What is a(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**2 + 2062*b + 4113. Calculate f(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from smmsmcsmczismmcis.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-99) - ((-1)\/11 - 0). Let h be (-55)\/11 + t\/(-1) + 2. Sort -4, 3, h in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 - 65. Suppose 79 = 4*i + v + 2*v, 2*i = v + 47. Suppose -i + 84 = 4*j - 2*t, -5*j + t = -q. Calculate the least common multiple of 10 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 26*z**2 + 0*z**2 - 29*z**2 - 2*z**2 + 4*z**2. Let w(k) = -k - k**2 - k + 3*k - k**2. Suppose -r = -4 + 1. What is r*o(c) - 2*w(c)?\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6720157.\nAnswer: -3\/6720157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o + 757. Let f be w(-23). Which is the second biggest value? (a) f (b) -3\/2 (c) -0.1 (d) 1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 + 358628109*t + 42871373521638627\/2.\nAnswer: 3*(t + 119542703)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121110110122 (base 3) to base 2.\nAnswer: -1101011001100101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (-1)\/((-5)\/(-20)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3361605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 + 266932*o**4 - 4457961192*o**3 + 155719687336*o**2 - 298066558804*o + 146804565732 = 0. Calculate o.\nAnswer: 1, 33, 33349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -736 - 1332 = -4*k. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229610 divided by -1\nAnswer: 229610","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 2. Let j be a(8). Let w be ((-4)\/20)\/(4\/j). Factor p + 1\/2 + w*p**2.\nAnswer: (p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*y = 6*y + 31, 5*y + 10 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/1456 (b) 0 (c) 2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 73*k + 1. Calculate the remainder when f(1) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 407492064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -67\/2, -3, -6, 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0 (c) -19 (d) 2\/13 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-7 - (18 - 2 - (0 - 0)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9082 + -9033. Solve t - 19 = -5*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o**2 - 19*o - 97. Let u be h(-8). Let r = u - 883. Solve 8 = v - 4*t, r*v + 0*v - 2 = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 1)*3\/(-3). Let m be 7 - ((-8)\/k - 0). Solve 0 = -m*r - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3454.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 14*p**2 + p + 14. Let y(a) = a**3 - 6*a**2 + 4*a + 1. Let o be y(3). Let l be u(o). Is 3\/10 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45776651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102072 is divided by 186.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 26. Suppose -b - b = z. Let w(i) = i - 5. Give w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33872, -66764, -99656, -132548, -165440?\nAnswer: -198332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.13, -0.113 in descending order.\nAnswer: 4, -0.113, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 - -99. Let l be -85*5\/((-25)\/(-2)). Let w = l - m. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*90\/27 - 4. Let k(q) = q**3 - 17*q**2 + 11*q + 7. Determine k(w).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 26 = -2*k, 55*k + 0*b - b = 59*k - 38 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 890532 rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + u = 352 - 356, -4*f = -37*u - 908 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 11. Let o = 14 + -14. Let z be d(o). Let p = -7 - z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 221 = 169. Let y = -52 - -76. Let r = 41 - y. What is the remainder when g is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 121*c**5\/4 - 224*c**2 + 2*c - 141. Differentiate v(a) with respect to a.\nAnswer: 1815*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2. Let a(s) = -2087680*s. What is o(a(d))?\nAnswer: -30508854476800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 103?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*w - 43, 5*r - 2*w = -4*w - 80. Let f = r - -4. Let n(u) = -u**2 - 9*u + 10. Let x be n(f). Solve x*q = 2*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 11*q + 11. Let p be g(-7). Let v = 46 - p. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 - 12*a + 45\/2.\nAnswer: 3*(a - 5)*(a - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 - 1. Let p(b) = 13*b**2 - 3*b + 23. Give -f(d) - p(d).\nAnswer: -21*d**2 + 3*d - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 3*c. Let v(n) = n**2 - 2*n. Determine -3*k(x) + 4*v(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78682974541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794797100.\nAnswer: 2, 5, 7947971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 12) to base 10\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 250 = -0*s. Let t be ((-1840)\/2024)\/((-18)\/99). Calculate the highest common factor of t and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*m - 205*m - 15*m**2 + 620*m - 212*m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0262 * 150\nAnswer: 3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 10*a**2 - 15*a + 33. Let k be g(-11). Calculate the greatest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-11711))\/(11\/(-70) - (-1344)\/4480)?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000571623 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Suppose 0 = i*o - 0*o + 25, 0 = 2*r + 4*o - 260. Suppose -3*c - 48 = -5*c - 2*h, -5*c + r = -5*h. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 9*l - 4. Let t be 1*6*1\/2. Suppose t = -f, -4*g - 42*f = -38*f - 12. Calculate r(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000010011010111000011 - -1?\nAnswer: 1001000010011010111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193523 is divided by 21501.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*s = -480, 0*a + 3*s = a + 156. Suppose -4*l = -24 - 12. Let m be 2\/6 - a\/l. What is the greatest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20410, -3.\nAnswer: -3, 2, 20410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/112*464\/87. Factor 32\/7 + b*m + 4\/7*m**2.\nAnswer: 4*(m + 2)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266610, -533273, -799936, -1066599?\nAnswer: -1333262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a year?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014136738 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108543 (base 10) to base 16.\nAnswer: 1a7ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**5*y - 117*v**5 - 2*v**2*y + 193*v*y wrt v?\nAnswer: 360*v**2*y - 7020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(1377) - sqrt(1377))*-1 - ((sqrt(1377) - (2*sqrt(1377) + sqrt(1377) + 5)) + (sqrt(1377) + sqrt(1377)*2)*-3))**2.\nAnswer: 1782*sqrt(17) + 166698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/20039 or -1?\nAnswer: 10\/20039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.063 + 0.063066. Round t to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 93*(-3287)\/(-26815) + 2 + (-24)\/10. Suppose -2*m = -954 - 344. What is the highest common factor of s and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**3\/6 + 6*u**2 - u. Let g be f(-10). What is the closest to 0 in -0.2, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 26*w = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 112583418.\nAnswer: 112583417.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/9 - (-4)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 - 6*n**3 - 15*n**2 + 42*n - 45\/2.\nAnswer: 3*(n - 5)*(n - 1)**2*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -51494424818?\nAnswer: 51494424818.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**7*c)\/(c\/(c\/c**(2\/19)*c)))**(-47)*(c**(-3\/4)\/((c\/(c\/c**0))\/c))**18 assuming c is positive.\nAnswer: c**(7503\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4057860471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056871789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34340*f**3 - 50*f**2 + 10770871*f wrt f?\nAnswer: -206040*f - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:15 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4171 - 4?\nAnswer: -4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 36*t**2 + t - 10. Give p(-36).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-70)*5*(-2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 4432 = 1027*k + 27083 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/268*(-104)\/(-1612)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4978006.5247 + -1.\nAnswer: -4978007.5247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42818203.\nAnswer: 23, 1861661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = -4. Let n be 222\/c*(2 - 0). Let v = -26 - n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 - 28*q. Let p(r) = -6*r**3 + 1485*r**2 - 181452*r - 369024. Let j(x) = p(x) + 3*v(x). Factor j(i).\nAnswer: -3*(i - 248)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a day in hours?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n - 52. Let b be k(-5). Suppose -2*t = 10, 0 = -b*f - 5*t + 2*t. Suppose 4*m = -3*y + 442, f*m + 0*m - 589 = -4*y. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwb when three letters picked without replacement from {w: 3, b: 9, f: 1, z: 5}?\nAnswer: 15\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331 + -293.6. Let u = 37 - p. Suppose 4*z + z = 15. Which is the nearest to -0.1? (a) z (b) u (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 30.5. Which is the second smallest value? (a) y (b) -0.15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by -139?\nAnswer: 200\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 20*r**2 + 2*r - 12. What is h(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232768 = -104*u + 94936. What are the prime factors of u?\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*g - 1 = 3, t = -3*g - 1. Let -7*v**5 + 2*v**3 - 3*v**4 - t*v + 4*v**5 + 3*v**3 + 4*v**4 - v**2 = 0. Calculate v.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t + 4. Let a(j) = -1 + 0*j - 2 - 5*j. Suppose -d - 16 = -7*g + 2*g, -g + d + 4 = 0. Suppose 2*o - 6 = 2. Give g*f(w) + o*a(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97199527 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 713940000 rounded to the nearest 1000000?\nAnswer: 714000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108) + sqrt(108) + sqrt(108) + 0 + 5 + sqrt(108))**2*2.\nAnswer: -3506 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5\/4 - 219*x**4 - 158460*x**3 + 50684400*x**2 = 0.\nAnswer: -468, 0, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 0.1213.\nAnswer: 7.8787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*g - 20 = 0, -143*g - 1107 = 219*b - 141*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1153956 rounded to 2 dps?\nAnswer: 7.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**0)**29\/(o**1\/o)**(-2\/27))\/(o**6*o*o**6)**(23\/3) assuming o is positive.\nAnswer: o**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 7. Suppose 2*p = 3*v + 30, 2*p + 3*p = 2*v + 64. Let a be b(p). Let l(m) = -5*m - 4*m**2 - 4*m**3 + 6 - 2*m**2 + 3*m**3. What is l(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 746.2739 millennia?\nAnswer: 746273.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from xxohjxpppopyyx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 4*q - 5428 = -23*r, -5*q + 2728 = 2*r. Which is smaller: r or 1358?\nAnswer: 1358","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 111. Suppose 4*k - 4*g + 7 = -a, 7 = -k + 2*g. What is the tens digit of (96\/(-30))\/(3\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - 2.04. Let m = y + -0.04. Let s = -1 + m. What is the biggest value in -3\/4, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 942070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttttllltll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 19*a - 9. Calculate i(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536047?\nAnswer: 19, 89, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (-1 - -1) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*(sqrt(130) - sqrt(130)*1))\/(sqrt(10) + -1*sqrt(1440) + sqrt(1440) + sqrt(1440) + sqrt(1440)) + 6*(sqrt(13) + (3 + sqrt(26)\/sqrt(2))**2 + -4)).\nAnswer: 540 + 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 338 + 114 + 4677*o + 110 - 2342*o - 2332*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/807432 and 59\/2422296.\nAnswer: 2422296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 8. Suppose 5*q - 3*x = 30, 0 = q + z*x + 3*x + 22. Suppose -10 + q = -s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/6 - 20065*r**3\/6 + 31754063*r**2\/2 - 172303777723*r\/6 + 54039218623511\/3 = 0. What is r?\nAnswer: 1969, 14158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 14 = 4*b, 76*a = 77*a - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 122. Suppose 12*n + 281 + 343 = w. Let g = -31 - n. What is the lowest common multiple of 24 and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33066 is divided by 4088?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3811794 or -3811793?\nAnswer: -3811794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319192 is divided by 647?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -641, -698, -779, -878, -989, -1106?\n\"Answer: h**3 - 18*h**2 - 10*h - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/8 + 1941*i**3\/4 - 6363*i**2\/2 - 860541*i - 12137268 = 0. What is i?\nAnswer: -22, 52, 1286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 261*o**2 + 86*o + 42. Is 27 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + -2 - (-524 - -479)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (27 + -3 + (1 - 10) + (-16 - -8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*h + 9, h - 13 = -y - 4*y. Let -w**3 - 2*w + 0*w**3 + y*w**2 - w + 1 = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 166*i - 1028. Determine q(-62).\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1113)\/(-120) + 30\/240 - 7?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4642 + -4625. Calculate the greatest common factor of k and 3536.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222\/(-27)*-18*(-74)\/(-296)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7.5. Let d = -0.6 - f. What is the second biggest value in 2, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(1\/2) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - -0.06. Let h = 7.11 - n. Let q = -12 + h. Put 0, q, 4 in decreasing order.\nAnswer: 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 21201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -543*x + 128812. What is v(240)?\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/36 + -2*2\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*k**6 + k**4 + 25*k**2 + 6 wrt k?\nAnswer: -2160*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12582)\/(-2) - -2*(-8)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a**3 + 54*a**2 - 33*a - 14 = 0.\nAnswer: -2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13)*-2 + 5 + (-3*sqrt(143)*-2)\/sqrt(11).\nAnswer: 6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 71 - 7*k**3 + 23 + 6*k**2.\nAnswer: -7*k**3 + 6*k**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Suppose h*z + 3*j - 102 = 0, -76 = -z - 3*z - j. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -168*t + 226 + 50*t + 318 - 71. Determine y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1043004 (base 5) to base 13\nAnswer: -8565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -319*u**4\/12 + 256*u. Let v(k) = -2*k. Determine v(i(c)).\nAnswer: 638*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321.6 - -366. Let q = 44 - p. What is the biggest value in -3\/8, -1\/20, q, -3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.271 in -5\/6, -5\/126, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - j + 9. Let z(k) = -2*k**2 + 2*k - 22. Give -12*c(f) - 5*z(f).\nAnswer: -2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1751281 > -1751295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*u**4 - u**3 + 16*u - 4177 wrt u.\nAnswer: -28*u**3 - 3*u**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1460*v + 739*v**2 - 728*v - 731*v as j*v**2 + x*v + n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-27))\/(28\/(-252)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/1016 - -3033\/5080. Let q = -25\/8 + 27\/8. What is the third biggest value in s, 0.3, q, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 4. Let c(m) = -m**2 + 6*m - 3. Let f be c(5). Suppose 3*v - v = 6. Suppose 13 = -5*s + v, 0 = p - f*s - 8. Give r(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 3*g**2 - 4 + 3*g**2 + 2*g. Let z be 125\/45 + (-6)\/(-27). Let v be r(z). Solve -12 = -o - 0*i - 4*i, v = 4*o + 2*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7548, 7543, 7538, 7533, 7528?\n\"Answer: -5*j + 7553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3661 - -3666. Solve 0 = -l - 0*l - 2, -2*k = -g*l - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12952476*m - 12952476*m - 1287*m**2 + 827*m**2.\nAnswer: -460*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -63439*1.9\nAnswer: -120534.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 1:16 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 11. What is x(-5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*4\/8)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l - 12. Let p be i(3). Suppose -13 = -p*k + 41. Suppose -12*y = -k*y. Which is greater: 5\/11 or y?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 16 = -9. Suppose w + 32 = 3*p + j, -4*p + 69 = -j. Calculate the greatest common factor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3479794*y**5 + 29*y**2 + 6*y - 575?\nAnswer: 208787640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47085, -47082, -47065, -47028, -46965, -46870?\nAnswer: -46737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1214 - 4?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 - 11 = 0. What is the smallest common multiple of 8 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/61 (b) 17\/39 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 a when four letters picked without replacement from bbaabbbbbbbxbxabbb.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -651, 0.02, 3, -2120, 2?\nAnswer: -2120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 7*b = -7. Let y be 0\/(b\/(-1)) + (-4 - 11). Which is smaller: y or -14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -414, -286, -156, -24, 110?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*q + 84*q - 33436. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9086 + -0.3.\nAnswer: 9085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-4 - (-1 + -7 + 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + k + k + 102, 5*m - 125 = 2*k. Let d(g) = g**2 - 5*g - 12. Let v be d(7). Solve n + v*n + m = -5*x, 5*x - 4*n + 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 899 + -442. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**3 + 26*g**3 + 27*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 0) + 409 + -411 - -22.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 170 = -164 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (80\/15)\/(-4)*-51. Suppose 149 = 4*w + w - 3*i, 2*w - 4*i = m. Calculate the greatest common divisor of w and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/72 + 1487\/72. Let z = -1\/4184 - 31361\/79496. Calculate the common denominator of z and s.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -181421 (b) 24.7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-4)\/30). Suppose 7 = -z*p + 47. Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243057 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*x - 4 - 1)*(2*x - 2*x - x**4).\nAnswer: -6*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 27 = 2*p. Suppose 3*y + 111200 = -p*y. What is y rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v - 16*v**2 - 21*v + 31*v**2 = 0.\nAnswer: 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.6 in -8, 0.5176, 2?\nAnswer: 0.5176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*v = 187, 474 = -0*f + 5*f - v. Let i(k) = 142*k + 1. Let a be i(1). Suppose 0 = -5*w + a + 47. What is the highest common factor of w and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5407*c + 5408*c + 5*c**2 - 10815*c - c**3.\nAnswer: -c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 1449.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1881, -2055, -2201, -2307, -2361?\n\"Answer: 2*x**3 + 2*x**2 - 194*x - 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3549 is divided by 3328?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 12*v = 12. Let u be -2 + v - 14\/9. What is the closest to 1 in 0.3, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386840 to the nearest 1000.\nAnswer: -387000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 27. Let y = 2.4 - -0.6. What is the third biggest value in y, t, -5\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73793 and 256583.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j + 12*j + 16*j)*(0*j - 17*j - j - 75*j) to c + m*j**2 + f*j and give m.\nAnswer: -1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*((sqrt(304) - (sqrt(304) + (sqrt(304) - ((sqrt(304) + 1 + sqrt(304) - sqrt(304)) + sqrt(304))))*5) + sqrt(304))*5 + -5)*6)**2.\nAnswer: 570240*sqrt(19) + 10006416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 16743830200 rounded to the nearest 1000000?\nAnswer: 16744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**2 - 19*k**2 + 63*k**2 - 10*k**2 - 19*k**2. Let g(x) = 9*x**2. What is a(g(u))?\nAnswer: 324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941728049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289714?\nAnswer: 2, 17, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3847688.3 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*f + 5, 4*f + 2*p - 5 = -3*p. Suppose -5*h - 5*i = -f*i, i = 2. What is h rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 60 + 494 = 0. Let j be (3 + 1 - 3)*w\/(-2). Let m(f) = -f**3 - 31*f**2 - 3*f + 34. Is m(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/57 (b) 1\/4 (c) 11128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -141 + -4919 + 5060?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -145. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2096?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:20 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201554522 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8503 + 9558 - 40588 = -453*i + 17998 for i.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -229.871. Let a = 84.871 - x. Let l = 85.0000068 - a. Round l to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 225*j - 3 - 221*j - 6*j**2 to the form n + o*j + w*j**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, g: 4}. What is prob of sequence ggt?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31302 divided by -5217.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/(-5) - (-4 - -3)). What is the common denominator of ((-4)\/c)\/(44\/2915) and (-2 + 55)*(-1)\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(1\/(-6)). Suppose 0 = -p*s + 2*s + 25034. Suppose -x = -18966 - s. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/6 - (0 - -4). Suppose k = -4*l - 2*k + 194, p*l - 108 = 4*k. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 310 = 50. Let d be ((-45)\/a)\/(2\/(-8)). Let k(m) = 6*m + 12*m + 19*m + d*m. Let i(o) = -o. Give k(i(u)).\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00166 - 210875.\nAnswer: -210874.99834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2041 - 2004 - (1 - -139) - (-6 + 0).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786560.73 rounded to the nearest ten thousand?\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54\/19, 89, 1\/3?\nAnswer: -54\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 48679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4181001 rounded to the nearest 1000?\nAnswer: -4181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) -0.16 (b) 1\/33 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 30*h**2. Let c be j(-30). Let z(k) = 15*k + 412. Is 32 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 784639367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 4. Let u be d(-3). Let b(r) = 2*r**3 + 2*r**2 + 4. Let p be 1\/2*(10 + -8 + -12). Let w(i) = -i**3 - i**2 - 2. Determine p*w(a) + u*b(a).\nAnswer: a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-80)\/60)\/(4\/1662). Suppose 0 = -15*g + 6*g + 1233. Calculate the remainder when g is divided by 63\/168 + r\/(-16).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5167?\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 744768 (base 10) in base 16?\nAnswer: b5d40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 24\/(-84) + -2 + (-342)\/(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 + 2*t - 3. Give o(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 90?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47683, -95308, -142869, -190366?\n\"Answer: 32*y**2 - 47721*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 28 - 12. Let u(r) be the third derivative of -r**5\/60 - r**4\/6 - 2*r**2. What is the lowest common multiple of u(-3) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 750.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - 30*m**2 + 230*m - 219*m + 1 as r*m**2 + p + j*m and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 = -91*j - 198 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 24. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172052, 688253, 1548594, 2753081, 4301720, 6194517, 8431478, 11012609?\nAnswer: 13937916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*r - 15, -2*r = -5*r - 3. Suppose p*m = 12 + 10. Suppose 141 + 257 + 602 = 500*a. Solve 0 = a*d - 5*n, -2*d + 5*d = 2*n - m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - r - 1. Let g(h) = h**3 - 23*h**2 - 9*h + 90. Determine -g(u) + 6*x(u).\nAnswer: -u**3 - u**2 + 3*u - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35417438891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 434, 79, -290, -679, -1094?\n\"Answer: -m**3 - m**2 - 345*m + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 + 2. Let u = 0.6 + b. Let q = 57.2 - 57. What is the second smallest value in u, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*y = -7, m = 2*y + 5 + 2. Solve -s + j + 2*j + 7 = 0, 4*j = -m*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - -0.3. Let p be -2*(30\/(-9) - -3). Let s be -2 + (-2)\/8 + 2. Which is the closest to p? (a) j (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2879 + -1742. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 11:03 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*a - 679, 4*a = -h + 6*h + 560. Let p = -105 + a. Suppose 6*r - j = 3*r + 352, j = -4*r + 481. What is the remainder when r is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-16))\/(345\/1656).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2933 + -2915. Solve -z - 2*w - 6 = -3*w, -z = -5*w + b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2740383)\/196440*(10\/3)\/5. Let c = -1\/6548 - h. Let n = -409 + 2077\/5. What is the common denominator of n and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 33 = 5*d - q, 5*q + 15 = -2*d. Let h = -4 + d. Suppose o + h = 4. Solve 3*g - 4*i + 9 = 0, -i + 2*i - o = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2310*j**3*n**3 - 6*j**3*n - 5*j**2*n**2 + 2*j*n**2 wrt n?\nAnswer: -13860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j)*(-6*j + 0*j + 4*j + (3 - 3 - 1)*(-4*j + 3*j + 2*j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 8) to base 11.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2534)\/724*-5*24\/196?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p + 7. Let a = 279 - 147. Let t = 236 - a. What is the remainder when t is divided by n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.403\nAnswer: -0.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 49 + 23 = 0. Suppose 0 = 5*u - 4 + n. Let j(s) be the third derivative of -11*s**6\/120 + s**5\/30 + s**4\/24 + 15*s**2. What is j(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246252 (base 8) to base 16.\nAnswer: -14caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*h - 16, -4*h - h = -3*y - 22. Let u(b) = -14*b**2 - 3. Let k(w) be the first derivative of -5*w**3\/3 - w + 206. Calculate y*u(n) + 11*k(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**(-1\/33) assuming w is positive.\nAnswer: w**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2836 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2855710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-9)*78\/91. Let h = 18 + -13. What is the third derivative of -57*n**2 + 102*n**2 - 51*n**x - 26*n**h wrt n?\nAnswer: -1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.69 - -0.71. What is h rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22312655, 22312569, 22312417, 22312193, 22311891, 22311505, 22311029, 22310457?\nAnswer: 22309783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 3. Let z be (-26)\/(-5) - 2\/10. Let c(k) = -k**2 - 2. Let t(o) = z*c(o) - 2*q(o). Let u(f) = -3*f**2 + 11. Determine 8*t(a) + 3*u(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54652242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 2*d + 1. Let p(l) = 21*l**3 + 5*l + 2. Calculate 3*p(k) - 6*z(k).\nAnswer: 57*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -11000010?\nAnswer: 10222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -380162, -1520660, -3421496, -6082670?\n\"Answer: -380169*u**2 + 9*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j + 4*j + 4*b, 3 = 3*b. Let i be (-3 - -2)\/j*-7. Suppose -5*z = 3*q - i - 12, -q + 3 = z. Solve -13 + 3 = z*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 788787230 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -11, -19, -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7 - 1. Let i(h) = -82*h + 8. Let x be i(-7). Suppose -t*l - l + x = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 162. Let l = -0.1 - -0.3. Let j = l + -0.4. Is f < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -402 and 0.24563.\nAnswer: -401.75437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 + 5*a - 4. Let t be r(3). Let y = t + -46. Let v = y - -100. Calculate the greatest common factor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -319.9 - -294. Let g = -27 - c. Let y = g + 1.10000061. What is y rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 13*o**2 - 9*o - 5. Let x(q) = -q**3 + 15*q**2 - 7*q - 4. Determine 4*p(k) - 5*x(k).\nAnswer: 9*k**3 - 23*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/30714 and -26\/243.\nAnswer: 2487834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.56. Let w = u - -0.04. Suppose 5*s - 4 = 1. Which is the second biggest value? (a) w (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 472419.3 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117113 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:12 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v**2. Let l(s) = 89709 - 44855 - 731*s - 44854. Calculate l(u(n)).\nAnswer: -8772*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 43*g**3 - g - 28*g**3 + 70*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 5 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 1, d: 4, h: 4, f: 1, z: 3}. Give prob of picking 1 z and 1 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (13 - -16) - -35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/(2\/3). Let h be ((-1112)\/40)\/(d\/(-10)). Find the third derivative of 3*p**6 + p**2 - h*p**4 + 139*p**4 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*r**3 - 2*r - 7*r**3 - 2*r**2 - 4*r**3 + 9*r**3 to the form q + k*r**3 + j*r + v*r**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2610 and 15660.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 46*q + 48*q = 784, -5*i = -2*q - 3860. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 2*h**2 - 4*h + 4. Let t be c(0). Solve 3*s + 0*i = -2*i + 11, -5*s + 21 = t*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5 + 3. Suppose -j + 6*h + 18 = h, 0 = -g*j + 2*h + 4. Let l be 3\/21 + 1\/7. What is the closest to l in 1\/3, 2\/9, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/(-21)*(-66)\/55. Solve -12 + r = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15603, -10384, -5153, 96, 5369, 10672, 16011?\nAnswer: 21392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -31*l**2. Let u(y) = -5*y**2 + 2. Let d(p) = -6*p**2 + 3. Let n(c) = 2*d(c) - 3*u(c). Calculate n(t(f)).\nAnswer: 2883*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -4 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*y + 1083*y - 3*b + 187 = 539*y, -4*b - 4 = 0 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13012310 - -3231?\nAnswer: 13022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, -7, -3, -14300.\nAnswer: -14300, -18, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) -0.1 (d) -0.5 (e) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 4 + 6 - 8*g**2 wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -10 + 12 + -13 + -7 + 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f - 8. Let p = f - -9. Suppose c + 0 = p*s - 3, 2*s + 2*c = 6. Solve 2*h - 7 = s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 95. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/12)\/((-848)\/4770).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 5. Let x be i(-4). Suppose 7*o = 2*o + 10. Calculate the greatest common divisor of o and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1117 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -0.34, -3, 172, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12001123 - -142?\nAnswer: 12001305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2 - 1. Let r be k(-2). Suppose -r*p = -6*p. Suppose p = -g - 1. Is 2 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/(-8) - (-14 + 7). List the prime factors of (0 + -421)\/(u\/27*3).\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84083 - 58692. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + 53?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -20*k**2 + 5*k + 4. Give f(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -481, -4\/3, 2\/13 in decreasing order.\nAnswer: 2, 2\/13, -4\/3, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**6\/50 - 3*v**5\/50 - v**4\/20 + v**3\/5 + 5*v. Find f, given that s(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:22 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*u**2 + 12*h*u*z + 232*h*u - h - 36*u**2*z**2 - 4*u*z**4 + u with respect to z.\nAnswer: 12*h*u - 72*u**2*z - 16*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9311 + 7.\nAnswer: 8.9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 2*m - 11. Suppose -3*y - x + 6*x = -32, 0 = 5*y + 5*x. Let h = -29 - -22. Let p(b) = 2*b**2 - b - 6. What is h*p(q) + y*r(q)?\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350174 (base 10) to base 5.\nAnswer: 42201144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677070 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15352\/(-1216) - (0 + -13). Which is the fifth biggest value? (a) -0.1 (b) -0.06 (c) k (d) -2\/5 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -46. Let q(d) = d**2 - 6*d + 4. Let c be 21 + -8 + (-2)\/2. Calculate the remainder when q(c) is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-333)\/(-555)*(380\/1)\/4\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2326.1 - -2325.1. Let j be (-36)\/(-10) - (-6)\/15. Which is the closest to -1? (a) 8 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1238, 2462, 3674, 4874, 6062?\n\"Answer: -6*x**2 + 1242*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13501, -54533, -122945, -218737, -341909, -492461?\n\"Answer: -13690*u**2 + 38*u + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058556812?\nAnswer: 2, 239, 347, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 3186480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cttc when four letters picked without replacement from ccctataaaca?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-676)\/31096 - (-3866)\/92?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199446*p + 139556 wrt p.\nAnswer: 199446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2.8, 0.4, 4?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 + 3*g. Let u be b(-4). Suppose 0*p + u*f = 2*p + 112, 0 = p + 3*f + 36. Let n = p - -153. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 76 - 46. What is the highest common factor of c and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 14*l + 129. Let p be r(-20). Sort -4, 4, p in descending order.\nAnswer: p, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -12 + (7 - -2) - -78 - (-18 + 24)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-7 + 3) - (1 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-46 + -1) - (239 + -219).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 16*r = 120. Calculate the common denominator of 1\/(-4) + 669\/84 and ((-27)\/r)\/3*(-55)\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + f**2 + 17*f + 2*f**4 - 15*f - f**3 + 2*f**2 + 0 as p*f + u*f**3 + s*f**4 + j*f**2 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5569, 5566, 5563, 5560, 5557?\n\"Answer: -3*d + 5572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2974\/(-70) - 2\/(-10). Let i = 42 + a. Is i less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c - 33. Let n be u(8). Let l = n + 125. Is (12411\/(-18) + 0)\/(2\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 149*r. Let l be h(0). Solve l*t - 3*t = -10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = -3*g + 17*g. Let u be 119\/9 - (-16)\/g. Calculate the highest common factor of u and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*h - 78 = 0, t + 4*h = -t + 186. Let v(f) = -f**2 - 100 + 8*f + t - f. Calculate v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101976 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 120011210001?\nAnswer: 120011210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 76 = -3*s, -s + m - 59 = -3*s. Let d be 1093\/4 - 8\/s. Suppose 0 = -4*p + 16, -5*p + 67 = 5*k - d. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 113685464 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -2\/261 (c) 0.5 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972747 = 3852*s + 2012*s + 1138*s + 4179*s for s.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y - 29. Let l be m(-6). Let r = -9 - -4. Put 2, r, l in descending order.\nAnswer: 2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-2)\/5)\/((-71)\/(-710))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12325, 12780, 13235, 13690, 14145?\n\"Answer: 455*i + 11870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpqqqqqqqqpqqqqqqq. Give prob of sequence qpqp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**3 - 18*t**3 - 38*t**3)*(-3*t + t - 4*t) + 5*t**2 - 5*t**2 + 5*t**4.\nAnswer: 263*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 2. Let j be m(0). Suppose -j*p - 30 = -4*p. Suppose -n - p = 2*n. Let x(u) = u. Let c(y) = 7*y - 2. What is n*x(b) + c(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 5. Let n = 1007 + -509. Let u = 500 - n. Which is the nearest to p? (a) -3 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 26161.\nAnswer: 2\/26161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -117. Solve -25 = 5*m, 2*m - u*m - 30 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 p when four letters picked without replacement from {p: 2, w: 3, q: 1, x: 6, g: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 175*p**2 - 25*p + 4435. Give r(175).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 91?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6067549)\/(-9) - 5660\/5094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.164+-4789357799\nAnswer: -4789357799.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.52527746 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170\/303 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1285 and 69.\nAnswer: 88665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645 by 15.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 471131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-151 + 809 - 116)*(-2*g - g - 3*g) to x + o*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17*z**2 + 33*z + 9. Let b(o) be the second derivative of 2\/3*o**4 - 2*o**2 + 0 - 8\/3*o**3 - 6*o. Let v(m) = -9*b(m) - 4*n(m). Solve v(k) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -13 - (1887 - 1829).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 + 967 = -169*u - 432*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01731 rounded to four dps?\nAnswer: 0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((8\/9)\/4). Let x be i\/(-4)*(-8)\/(-3). Let r(a) = -a**2 + 10*a - 7. Calculate the remainder when r(x) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24240 and 115?\nAnswer: 557520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*n**3 - 25\/4*n + 5\/2*n**2.\nAnswer: -n*(n - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-90)\/12)\/((-6)\/4). Is 3\/1 - (-2445 - (0 + u)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/442 and 9\/21424.\nAnswer: 364208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -120762351 bigger than -120762351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + -15 + 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1650.5 times -154\nAnswer: -254177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -379*b - 3789. Let p be x(-10). Solve p = 4*k + 5*i, 15*k = 10*k + 5*i + 35 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-12)\/(-15)) + 2. Find the first derivative of -3*d**2 - 3 + 1 + t wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from zvbzzpzi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4904857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = 110 - 2. Suppose -1 + 2 = -w + 3*y, 5*w - 90 = -4*y. Let a = o + w. Calculate the least common multiple of a and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 2*x + 605 = 0. Let m = x + 80. Calculate the highest common factor of m and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -z + 1, -z + c = -c - 1. Let w be -3 + 6 - (1 - 1). Suppose w*d + z = 16. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21638862 and 1194.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 21 (b) -2.7 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 1) + 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 47*u**2 - 5206*u + 51329. Let q(x) = 14*x**2 - 1487*x + 14665. Let h(l) = 5*o(l) - 17*q(l). Find the first derivative of h(a) wrt a.\nAnswer: -6*a - 751","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2\/2 + 1365109300*f - 186352340094649000 = 0. What is f?\nAnswer: 273021860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19381724 divided by 4845431?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 746 - 716. Calculate the remainder when 111 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 2. Let i be y(0). Suppose -4*b + 5*h + 455 = 0, -5*b - i*h + 553 = -3*h. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-227634)\/48*(-5 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51309, 54705, 60365, 68289, 78477, 90929, 105645?\n\"Answer: 1132*v**2 + 50177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2*m - 24 = 5*v, 4*v - 2*m = 46. Suppose -16 = -2*z + v. Calculate the greatest common factor of 65 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -2 + 0*h**2 - 8\/33*h**4 + 1\/165*h**6 - 20*h - 1\/110*h**5 - 20\/33*h**3. Suppose o(v) = 0. What is v?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148414\/33 or -4496?\nAnswer: -148414\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l + 3. Let a be w(-3). Suppose 17 = 2*z + 3*u, -a*u + 4*u = 5*z - 15. Suppose 0 = 3*r - r - 4. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 657*y**2 - 992*y + 660.\nAnswer: (y - 330)*(y + 2)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 297508264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1741, 1700, 1659, 1618?\n\"Answer: -41*h + 1782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 = 5*q - 2*q, v = 4*q. Suppose -v*c + 15 - 43 = 0. Let d = c + 12. Solve 5*n + 0 = -5, -d*g - n = 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 545289\/64 + -8521. Find the common denominator of 55\/112 and m.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (-98 + -105) - 152.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 2, h: 1, r: 1}. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 7*q + 2. Let x be y(6). Let a be -1 - (x + 2)*3. Let o = a + 52. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.78, -2\/21, 2, -2\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-24))\/(115\/(-92)). Let r(h) = h**3 - 7*h**2 + 6*h. Suppose 5*q - 12 - 18 = 0. Let i be r(q). Is y bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-9)\/2)*(-7 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3648720 by 3.\nAnswer: -1216240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 3331 - 301. Let k = m + -1011. Let o = 1945 + k. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**7\/735 + u**6\/140 + u**5\/210 - u**4\/28 - 2*u**3\/21 + u**2 + 91. Factor w(o).\nAnswer: 2*(o - 1)*(o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.064, -0.2, 2 in increasing order.\nAnswer: -0.2, 0.064, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277560631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -703*o + 186. List the prime factors of u(-22).\nAnswer: 2, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7252 (base 10) to base 16.\nAnswer: -1c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.052 + 3.948. What is the closest to -1\/6 in -4, o, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 126\/(-20) - 21\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -8\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6\/27 + 8045\/45.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -7. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780525107 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12844 + -9772. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -15983674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 - 6*i**3 - 45*i**2 + 96*i - 48 = 0 for i.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p**3*p))\/p)**9\/(p*p**(1\/6)*p)**43)**(-43) assuming p is positive.\nAnswer: p**(31003\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.264 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003923 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22022221311 (base 4) to base 16\nAnswer: 28aa75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g + 6. Let p be w(-4). Suppose 0 = -5*s + m + p, 3*s - 2*s = -3*m + 2. What is the remainder when s is divided by (-1)\/(-8)*0 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8510 - 13*k**2 - 2*k + 2836 + 2834 - 25*k + 2835 as v*k + x*k**2 + g and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 + -3.6. Sort 4, l, 7 in increasing order.\nAnswer: l, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tto when three letters picked without replacement from totttttttttttottttt?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468646, 937525, 1406404, 1875283, 2344162?\nAnswer: 2813041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + -603?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 + 525686*m**4 + 92115607321*m**3 + 5380534033089940*m**2 + 10760791721460656*m + 5380349803452352.\nAnswer: (m + 1)**2*(m + 175228)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5502 and 125664?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14*9\/(-315))\/(12\/(-570))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(2\/51)\/((z\/(z*(z\/(z*z*z\/((z*z**(-1\/2))\/z)))\/z))\/z**(-1)) assuming z is positive.\nAnswer: z**(-455\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96176513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25120904.\nAnswer: 2, 3140113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.22635 nanometers?\nAnswer: 0.00222635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:49 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.44 + 0.04. Let h = 268 + -439. Let o = -170 - h. What is the nearest to o in 1, s, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268240 divided by 19160\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 4*s + 6*s)*(76*s**2 + 92*s**2 - 87*s**2).\nAnswer: 81*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188320028 by 2.\nAnswer: -94160014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let v(t) be the first derivative of 9083*t**2\/2 + 2436. Give v(o(i)).\nAnswer: 18166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -463570855 divided by 92714171\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1958*i + 112. What is the hundreds digit of a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 4*c**2 + 6*c**2)*(179*c + 29*c**2 - 179*c).\nAnswer: 174*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0630953 to 3 decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582277359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 16) in base 15?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1883*f**4*g**2 + 6*f**4*g - 105*f*g**2 + 92*g**2 wrt f.\nAnswer: 22596*f**2*g**2 + 72*f**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12335275 and 8.\nAnswer: 98682200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 6 = -50 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w - 4. Suppose -5*t + t - 12 = 0. Is x(t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 + 3. Let a = r + 26.3. Let o = -25.5 + a. Sort 0.1, 3, o.\nAnswer: o, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 + 13 + 0 - 2*a**2 in the form l + s*a**2 + t*a and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**4 + 9*x**4 + 64 + 8*x**4 - 56 wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -414*y + 246243. What is m(594)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1237, -223, -2.\nAnswer: -223, -2, 8, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 375.0000261 + -375. Round h to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-1)\/(3\/12). Let g = 6 - k. Determine a so that 0*a**g + a + a - 2*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218\/7*n + 216\/7 + 2\/7*n**2 = 0.\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 233. Let h(u) = 100*u**2 + 9*u + 9. Let w be h(-2). Let q = n - w. Round q to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153183 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 49907 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v + 4. Let q(b) be the second derivative of -b**5\/10 + 11*b**3\/6 + 7*b**2\/2 + 65*b. Let g(o) = -11*a(o) + 6*q(o). Determine g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 396*v**4 + 1908*v**3 - 318*v**2 - 8055*v + 6858 = 0. Calculate v.\nAnswer: -2, 1, 3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3371 + 4832. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25361282*x**2 - 26353058?\nAnswer: -50722564*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxkxk. Give prob of picking 3 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 11905184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2135 + 12421?\nAnswer: 15000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -423, -688, -957?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 - -12220220210010?\nAnswer: 12220220121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196967608 is divided by 630.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - 22*f + 656, 7*t + 3*f - 147 = -28 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = j - 3, 0 = -4*m - 4*j - 4. Let f = m - -22. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {l: 2, j: 4, k: 1, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*x - 0. Let k(w) = -w + 10. Let p be k(x). Factor 12 + 98*n**p + 26*n + 30*n - 4.\nAnswer: 2*(7*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/13 - 8594*x**3\/13 - 608254*x**2\/13 + 47450*x = 0.\nAnswer: -4225, -73, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -18*h**2 - 13*h. Let a(y) = -146*y. Determine o(a(l)).\nAnswer: -383688*l**2 + 1898*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 - l + 7. Let i be j(4). Solve -4*g = -i*f - g + 12, g = -f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396*x**2 + 2*x - 497 wrt x?\nAnswer: 792*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12433021004 - -10?\nAnswer: -12433020444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27676 + -27681. What is the fifth biggest value in -0.1, -0.4, -842, 2\/9, l?\nAnswer: -842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.754 and -1.\nAnswer: 31.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*b**5 - 175*b + 104*b**5 - 169*b**5 wrt b?\nAnswer: -3660*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*h**3 - 250*g**3*h*p + 5*g**2*h**2 + 13*g*h**3*p + g*h*p wrt g.\nAnswer: -12*h**3 - 1500*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 194*s\/3 - 5300.\nAnswer: 2*(s - 150)*(s + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3151945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48426355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 63 - 8*f + 22*f**2 - 124 + 67. Let q be l(6). Suppose -5776 + q = -7*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Let k(o) = 1485*o - 51970. Let y be k(35). Let q(c) = 11*c**2. Let b(i) = -12*i**2. Give y*q(h) + z*b(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1660 + 8301\/5. What is the closest to 2 in 2\/5, 5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -3885, -14141, -34117, -67053, -116189?\n\"Answer: -540*v**3 + 4*v + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - 2*x**2 - 3*x + 7. Let i(s) be the first derivative of -7*s**4\/4 + 5*s**3\/3 + 7*s**2\/2 - 15*s - 68. Calculate 5*h(r) + 2*i(r).\nAnswer: r**3 - r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**6\/150 + x**5\/50 - x**4\/30 + 3*x**2 + 13. Let q(m) be the second derivative of v(m). Determine n, given that q(n) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 286364?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1\/24*z**4 + z + 9\/4*z**2 + 0 - 1\/2*z**3. Factor u(m).\nAnswer: (m - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321 + -311. Let f(u) be the first derivative of u**4\/4 - 3*u**3 - 5*u**2 + 12*u + 1. List the prime factors of f(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288534 (base 9) to base 6.\nAnswer: 3442434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:13 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16608303.\nAnswer: 3, 17, 73, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.157 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.15 + -2.14999968. What is n rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 + 131 = 5*r, -r + 5*g = -13. Suppose 0 = -2*t - 3*s - 28, 3*t + 37 = -s - s. Let y = r + t. What is the remainder when 50 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 30 = 0. Let w = s - -15. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21877 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {b: 3, f: 3, w: 3, g: 1, j: 2, s: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:07 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65.9 + -65.9. Let n = -11 - -9.8. Let a = 7.2 + n. Sort a, -4, x in descending order.\nAnswer: a, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63360477 is divided by 63360429?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (26 + 1)) + -2 + (-1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 588 = 3*o. Find the common denominator of o*(-5)\/((-2040)\/(-4)) and (-1*(-12)\/(-10))\/((-369)\/(-6560)).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2, c: 3, p: 10, j: 1, r: 2}. What is prob of sequence uj?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnf when three letters picked without replacement from efgnfneeegf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 6*q - 21. Let r = -33707 + 33699. Determine d(r).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + 3. Let u be (-25100)\/(-36) + 1 - 2\/9. Let a(x) = u*x - 348*x + 5*x**3 - 350*x - 2. Determine 3*a(d) + 2*b(d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 404049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -140234040 (base 5) to base 4\nAnswer: -2231301122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (3 + -2) - (47 - (-49 - -93)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.4, 1, -93, -5, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 56 - 15*l + 7*l + 2*l - 56. Let c(u) = -4*u - 10. Calculate c(n(z)).\nAnswer: 24*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6*n - 1 - n**4 + 0*n**4 as o*n**2 + m*n**3 + k*n**4 + f*n + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10844 (base 13) to base 4.\nAnswer: -13110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 + 5*v**2 - 2*v + 8. Let h(x) = 5*x**3 + 4*x**2 - x + 7. Give 5*h(t) - 4*k(t).\nAnswer: t**3 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314223532 to the power of 1\/2, to the nearest integer?\nAnswer: 36252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n - 11 + 7*n + 2 + 0. Let d(m) = -3*m + 4. Let t(w) = -9*d(w) - 4*v(w). Let k(b) = -4*b**2. Give k(t(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 3*g - 0*g, 0 = 3*y - 5*g + 2. Let u be (32\/(-40))\/(y\/10). Let k(v) = v - 2 + 0 - u*v. Determine k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 125\/181 and 120 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0.4 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 5\/(-5) - -7. Suppose -2*o - x + 19 = 0, 3*o + 33 = 7*o + u*x. Solve -12*h + 16*h + o = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*i = 198, 0 = -r - 3*i + i + 97. Suppose -3*s + 35 = -2*s. What is the greatest common divisor of s and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76012, -76011, -76010, -76009?\n\"Answer: x - 76013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3 - 8*m**2*u**2 - 3*m*u**2 - 61*u**2 wrt m.\nAnswer: -6*m**2 - 16*m*u**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 116*j**2 + 1 + 3*j**4 - 3*j - 221*j**2 + 106*j**2 to the form c*j**3 + g*j**2 + a + m*j**4 + o*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 104*l - 274. What is the smallest common multiple of r(7) and 14?\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 449699472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2981 - 1089. Is 86 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 1 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0)*(-1)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3791626*-0.1\nAnswer: -379162.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4410845 divided by 4410845.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3\/2, -11, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*u + 1321 + 1799 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3374 + 742. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-3240)*15)\/((-1)\/(-6)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*m - 3*y, 0 = 11*m - 4*y + 6 + 47 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, 2, -5, -7, -2498 in ascending order.\nAnswer: -2498, -7, -5, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1026694, 4107014, 9240872, 16428262, 25669178?\nAnswer: 36963614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3242.9 - 64.\nAnswer: -3306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55406 times 0.3\nAnswer: -16621.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2888 is divided by 357?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2380.8533 + 2381. Round y to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 6*s + 4*r - 44, -55 = -3*s + 5*r. Let b = 30 - s. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q - 5*k, -q + k = -2*k - 16. Let x(a) = 5*a**3 - 13*a**3 - 2*a - q - 11*a**3. List the prime factors of x(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -219a + -65?\nAnswer: -2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -26. Suppose t = -0*k - h*k + 12, 5*k = 4*t + 15. Suppose -2 = -u - t*g - g, u = g. Which is smaller: 12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -60. Let j be 2\/h*(356 + 22). What is the highest common factor of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (45\/10)\/9*5694\/39 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(-14)\/22 + (-3732)\/(-13684). Let t(x) = -14*x**2 - 7*x - 7. Let a(m) = -6*m**2 - 5 - 7*m**2 - 6*m - 1. Calculate v*t(w) - 7*a(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 0.029, 5, 20\/17, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -12. Suppose -2*c - 6 + 66 = n. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 1:16 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.1388 take away 0.5?\nAnswer: -86.6388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 - 0)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 7*c**2 + 10*c - 3. Let b be r(9). Let o be -3 - (-24)\/(-9)*b\/20. Solve -13 = -5*m + 4*h, -h + 23 = o*m - 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151594764.\nAnswer: 2, 3, 12632897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 280, 2256, 7608, 18028, 35208, 60840, 96616, 144228?\n\"Answer: 282*u**3 - 4*u**2 + 14*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 81. What is the greatest common factor of 70 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7305, -7303, -7301, -7299?\n\"Answer: 2*a - 7307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 + (-4)\/6. Let r = 2 - a. Let v be ((-30)\/4)\/((-3)\/6). Solve -s - 5*c + 4 = -v, 0 = -c + r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d + 1. Let o(b) be the third derivative of b**4\/24 + b**3\/6 + 26*b**2. Let x(p) = 2*g(p) - 2*o(p). Let a(i) = -2*i - i + i. What is a(x(v))?\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6638?\nAnswer: 2, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a - 5*p - 2, 2*a + 2*p + 2 = 0. Suppose 1 = -q + a. Suppose -2*u + 5*n = 14, 0 = -4*u - 0*n + 3*n. Solve -u*o + q = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:35 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 656, 1465, 2428, 3545?\n\"Answer: 77*t**2 + 578*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 180 + 9 + 1*3. Let n be (-1)\/(0 - (3\/6 - 1)). Let d be n*70\/(-5) + -4. Calculate the highest common factor of d and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302532\/43 - 1692972555\/240628. Calculate the common denominator of n and 73\/6.\nAnswer: 16788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5 - 6830*s**4 - 178706*s**3 - 777322*s**2 - 1183536*s - 578088 = 0. What is s?\nAnswer: -21, -2, -1, 3441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m = -12 - 1214 - 598. What is the smallest common multiple of m and 1240?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6568 - 6403. Sort -2, f, -6 in decreasing order.\nAnswer: f, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 582*u**2 - 9747*u - 42768.\nAnswer: -3*(u + 9)**2*(u + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 50135637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 446.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/2 - 17*v**3\/2 - 71*v**2\/2 + 17*v\/2 + 36 = 0. What is v?\nAnswer: -9, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 1, l: 1, w: 1}. What is prob of picking 1 w, 1 u, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0113 + 0.00489. Round p to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5021 + -1.2244022.\nAnswer: 5019.7755978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*j**2*t**3 - 7*j**2*t**2 + 2*j*t**4 + j*t**2 wrt t?\nAnswer: 972*j**2 + 48*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498 and 110883458.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 13. Let k = -94 + 94. Calculate x(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 0 + (-58 - -3217).\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1795?\nAnswer: 5385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -4, 5, 104, 2, 0.\nAnswer: -147, -4, 0, 2, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*i - 6, -2*i + 2*b - 5*b = -7. Sort 2, i, 0, -4.\nAnswer: -4, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89\/5 + (-12)\/15 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21*r + 29. Let o(c) = 25*c + 33. Let v(d) = 5*o(d) - 6*z(d). Let y(h) = -1. Give -v(t) + 6*y(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 456807 (base 11) to base 16\nAnswer: b1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247273843.\nAnswer: 401, 616643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2\/5 + 8930417*a\/5 + 2232604\/5 = 0. Calculate a.\nAnswer: -2232604, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 38. Suppose 5*k - 17 = 3, 0 = 5*l - 5*k + 25. What is the tens digit of (-25)\/(-5)*(r + l + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -281, -241, -201, -161, -121?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1493, 5191, 11093, 19199, 29509, 42023?\n\"Answer: 1102*d**2 + 392*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {d: 2, c: 1, i: 1, w: 1, u: 4, h: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 24*m - 545. Calculate c(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((1\/9)\/((-2254)\/(-294))*3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (5 + 21 + -28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111 and 219778?\nAnswer: 24395358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.132 at least as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/64*8\/33. Suppose k - 6 = 2*a - 4*k, 0 = -3*k - 6. Let r be -1 + 1\/(a\/(-10)). What is the smallest value in v, 0.3, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, -2, 175, -5, 1 in decreasing order.\nAnswer: 213, 175, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002233646 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 6. Let i be r(5). Is (-2)\/(3*i\/(-1542)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 73, 85, 79?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-8)*((-663)\/182)\/(-51)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((272\/40)\/17)\/((-20)\/175)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4855 + 18121. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 9*f + 274 = 0. What is the remainder when f is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001043328?\nAnswer: 2, 941, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 1416, 1449, 1436, 1371, 1248, 1061?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.02 - -7.72. Suppose -5*c + 1 - 34 = 4*n, -2*c = -3*n + 4. Suppose -5*y = -2*j - 20, 5*j + y = -y - 21. Put n, r, j in ascending order.\nAnswer: j, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1711 and 481.\nAnswer: -822991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 219 + 61 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -720 - -739. Calculate the highest common factor of 209 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.05. Let i = -0.26 + u. Suppose -5*j - 35 = 4*g, -3 + 16 = -j - 2*g. What is the third smallest value in j, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4405 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 49 + -31 + (1 - 20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 5. Let r be q(0). Suppose r*p - 1 = 4*p. Suppose 0 = -3*b + 5 + 19. Calculate the smallest common multiple of b and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67847 and 43901?\nAnswer: 746317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -9 (c) -0.00843 (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 10*g + 748 = 0 for g.\nAnswer: -17, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*j = -2, 3*q - 21*j = -22*j - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 + 6*g**4 - 4*g**3 - 24*g**2 - 16*g.\nAnswer: 2*g*(g - 2)*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let x = -42 + 46. Suppose 2*d - g = -6*g + 43, x*d - 46 = -2*g. Which is smaller: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32\/137, -4\/5, 5.\nAnswer: -4\/5, -32\/137, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 47, 64, 45, -22?\n\"Answer: -2*m**3 + 55*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8355 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 6. Let s be a(3). Suppose f - 2*n + 4 = s, 2*f - n - 7 = 0. Suppose 0 = -f*w + 24. What is the smallest common multiple of 1 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 277, 382, 565, 832, 1189, 1642?\n\"Answer: p**3 + 33*p**2 - p + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*d = -7*d + 12, h = -3*d + 12. Calculate the least common multiple of h and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 3. Let h be x(-5). Suppose -4*d + 3 = -1. Let u(z) = 2. Let l(t) = t + 1. Let y(i) = d*u(i) + h*l(i). Let r(j) = -5*j**2. Give r(y(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13444698469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51073338*s**4 - 404*s**2 + 83*s - 24 wrt s.\nAnswer: -1225760112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 12. Let r be p(6). What is the units digit of 9\/r + 5\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20626 is divided by 6648?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 7256a?\nAnswer: -72565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 480 = 52. Is ((-2)\/(-4))\/(7\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/400*20 + 3\/15\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(56)\/sqrt(8))**2)*4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s + 5*g + 12 = 0, 5*s = -5*g. Let c(l) = -l**2 - l**3 - 6*l - 9 + 11*l**s + 0*l**3. Is 10 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 2*a - 7. Let j(o) = -3*o**2 - o + 3. Let c(z) = 5*j(z) + 2*w(z). Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 3, y: 2, s: 1, x: 3}. What is prob of picking 1 x and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -5 (c) -3 (d) 0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*l + k, 3*l = -5*k - 8 - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 6565834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 66*g**2 + 3*g - 1. Let h be m(1). Suppose -s - 55 = -h. What is the least common multiple of s and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.12015 decades to millennia.\nAnswer: 0.0912015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/87, -12, 2\/17, 0.2, 4, -0.04?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1)*(30\/9 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 36303, 1, 4 in increasing order.\nAnswer: 1, 4, 64, 36303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/2 + 72*v**4 - 1971*v**3\/2 + 729*v**2 + 39366*v + 78732 = 0.\nAnswer: -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*c - 19*c**2 - 14*c - 12*c + 3*c wrt c?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g + 30. Let s be l(-5). Suppose -12 = -2*r - s. Is 13 a factor of (1 - 3)*(-474)\/24*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/14 - ((-418)\/154 - -3). Which is the nearest to 3? (a) -2 (b) 2 (c) 2\/19 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*q + 508*q = 45 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmhm when four letters picked without replacement from {h: 3, m: 4, t: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaa when three letters picked without replacement from oaaaaaajajaaajaooaa?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30605735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 6505\nAnswer: 19515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53.68 - -53.68069924. Round x to 6 dps.\nAnswer: 0.000699","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (43 + (-6)\/(-3))*10\/(-6). Let y = l - -75. Is y at most as big as 2\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 501 - 3?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(108) + -1 + 4 + 4 - (sqrt(24)\/(sqrt(32)\/sqrt(4)*3 - sqrt(8)) + sqrt(9)\/sqrt(3)*3 + -1))**2.\nAnswer: 45*sqrt(3) + 399\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**2 + 221*g - 164. Determine d(-24).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*h**5 + h**4 - h + 1240 wrt h.\nAnswer: -2000*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -90.79 (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.1 - -27. Which is the nearest to y? (a) -2 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*(-240)\/(-32)*-2158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let i(g) = 3*g**2 - 51*g - 259. Let s be i(21). Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150320311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 60?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11437 - -11443. Suppose -5*z = 25, -g = g + 4*z + 6. Solve g*j - 4*j - s = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 207*v**2 + 2. Let r(l) = -197*l**2. Determine f(r(u)).\nAnswer: 8033463*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12856*f**2 + 11*f - 21. Let d be t(7). Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i**2 - i. Let t be f(-1). Let c = t + 10. Sort -0.1, c, 1\/6.\nAnswer: c, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11 = 36. Let i = -7111 - -7104. Which is the third smallest value? (a) 1 (b) i (c) 0.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**27*l)\/((l**27\/l)\/l))**(-8\/5) assuming l is positive.\nAnswer: l**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j - 19 + 23 - 11. Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392000338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 1\/10*z**6 - 7*z + 0 - 3\/28*z**7 + 3\/10*z**5 - 1\/4*z**3 + 0*z**2 - 1\/4*z**4. Determine a so that j(a) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*o - 948, -7*o + 9*o = -3*g - 617. Let j = 505 + o. Suppose 5*n = n + j. Calculate the highest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 871\/39)*24.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.39924s in minutes?\nAnswer: 4.406654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1114009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 greater than -150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + m + 4, 2 = -m + 3. Let k = 286 - 289. Sort v, k, -1 in ascending order.\nAnswer: v, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45052b - -d?\nAnswer: 450538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1224 = -8*q. Let l be q\/(-467330)*20\/18. Let v = l + 420553\/181434. Calculate the common denominator of v and 15\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 3, u: 1, v: 1}. What is prob of sequence wzu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - u**2 + 3*u**2 - 3*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 10) + (14 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 41 + 820 - 266 + 86*j - 249. Calculate r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14457 - 14448. Calculate the remainder when 2372 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b + 5. Let n(w) = 5651*w + 7850. Let h(c) = n(c) + 5*v(c). Find the first derivative of h(x) wrt x.\nAnswer: 5671","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/588)\/((35\/12)\/(-5))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 47*h**2 - 77*h - 2. Let o(f) = 23*f**2 - 36*f - 2. Calculate 6*k(s) - 13*o(s).\nAnswer: -17*s**2 + 6*s + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 266 + -3992\/15. Let v be (-2)\/(-6)*(-18)\/24. Put v, k, -1 in increasing order.\nAnswer: -1, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 617 = -5*a - 65, -443 = -4*a + 3*f. Let j = -65 + a. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -13*f + 69. What is the remainder when 34 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50265*d**3 + 16741*d**3 + 16756*d**3 + 16763*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 58320?\nAnswer: 641520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4 = t - 0, -t + 4 = 0. Suppose z + 2 = -w, 3*l = 5*z + 31. Suppose 0 = 3*h + 2*i - 43 + l, i = -2*h + 23. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -159, -209, -441, -975, -1931, -3429, -5589, -8531?\n\"Answer: -20*i**3 + 29*i**2 + 3*i - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -51, -21, 21?\n\"Answer: 6*o**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 14) to base 10.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 22*z + 294 = 0. Let m = z - -165. Find the second derivative of -m*u**2 + 32*u**2 - 15*u + 38*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 14*b**2 + 12*b - 12*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*h - 135*h - 144*h - 142*h + 543*h - h**2 - 38*h.\nAnswer: -h**2 - 41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 11*g - 157. Let h(f) = f - 10. Determine -6*h(p) - s(p).\nAnswer: -p**2 - 17*p + 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -4, 0, -2, 9679, -1 in ascending order.\nAnswer: -7, -4, -2, -1, 0, 4, 9679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 87*a**3 + 5*a**2 + a - 19. Let l(v) = 43*v**3 + 2*v**2 - v - 9. Let f(r) = 5*l(r) - 2*m(r). Let n(p) = 27*p**3 - 5*p - 5. What is -5*f(y) + 7*n(y)?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4 + 5441*o**3 - o - 7800 wrt o.\nAnswer: -8*o**3 + 16323*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*q + 3*z - 4, -5*z - 30 = -2*q. Let l(f) = -f**2 + f - 6. Determine l(q).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36602 + -36565.838. Let z = c + -12.705. Let o = 0.043 + z. What is o rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4387324.5 seconds?\nAnswer: 1218.70125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8319 and 71862?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -128, -284, -492, -746, -1040?\n\"Answer: j**3 - 35*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8574 is divided by 522.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, s: 11, c: 3}. Give prob of sequence sls.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(88)\/(sqrt(128)\/sqrt(4))*-5)\/(((sqrt(140) - sqrt(140)*2)\/sqrt(5) - sqrt(28))\/(sqrt(28)\/sqrt(16))))**2.\nAnswer: -1005\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.1, -0.3, 2, 5, -46, -5.\nAnswer: -46, -5, -0.3, -0.1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 8\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 + 83.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 372877591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-9)*i*i*i**7)\/(i\/i**(-1))**(-11))**(11\/5) assuming i is positive.\nAnswer: i**(253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/3*(-72)\/21*2\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = l - 159, 4*l - 618 = 4*z - 3*z. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451848.\nAnswer: 2, 3, 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytw when three letters picked without replacement from towyyyiyoyoi?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*x + f - 280, 5*x - 300 = -5*f. Let m = x - 53. Suppose m - 24 = -2*k. Which is smaller: k or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**8\/84 - 2*x**5\/15 + 3*x**2 - 2. Let j(f) be the second derivative of t(f). Find the third derivative of j(i) wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640 and 22720.\nAnswer: 45440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -4*sqrt(132))\/sqrt(12))**2 + (sqrt(308)\/sqrt(7))\/sqrt(4).\nAnswer: sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/183, -2586, -6\/119?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*f - 6*f + 17*f)*(-2*f + 3*f - 2*f)*(-3 + 3 + 4)*(-1 - 3 + 3) + 3 - 2*f**2 - 3.\nAnswer: 122*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**2 + 0 + 0)*(1 - 4 + 1) - 7*s**2 - 6*s**2 + 16*s**2)*(94*s - 106*s - 4 + 6 + (5 - 2 - 1)*(-5*s + 2*s + 2*s) + s + 2*s - 2*s).\nAnswer: -65*s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = -2*x + 35, -2 = -2*r + 4*x. Let n be ((-7)\/(-21))\/((-3)\/r). Let c = 11\/410 + 3\/41. Is c equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 252, 379, 504?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8209 + 8209.06. What is the third smallest value in -0.3, l, 2, 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + 1424653?\nAnswer: 1425130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113321 (base 4) to base 2.\nAnswer: 10111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -558*b + 17. Let w be (-6)\/(-10)*(-26 - -21). What is the units digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:04 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 25 = 0, -36 = -3*v - 4*d + 19. Let y = v + -19. Let j(c) = 5 - 5 + y*c - 81*c. Let g(w) = -2*w**2. Determine j(g(n)).\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b**3*k**2*z + 42058*b**3*q**2*z**3 + 714*b**2*q**2 - b*k**2*q**2*z**3 - 11*b*k**2*q*z**3 - 3*b*k**2*z**3 + 2*z**3 wrt b.\nAnswer: -48*k**2*z + 252348*q**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 579233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*z - 2 = 0, 3*s + 3 = z - 0. Let k(q) = -9*q. What is the units digit of k(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.103 - 625925521\nAnswer: -625925522.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 2 o when four letters picked without replacement from {l: 9, z: 4, c: 1, p: 2, o: 3}.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 1202?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 0*v + 8*v. Let x be s(2). Let f = 8 - x. Solve -y = -f*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6223*a + 93352. Calculate r(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 661548*y**3 + 36469156572*y**2 + 145884564960*y + 145887211200.\nAnswer: 3*(y - 110260)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 + 361. Calculate the remainder when h is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 42. Suppose -5*u = 3*c - 73, 0 = -c - 4*u + 2 + w. Let k = -7 + c. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20456386 and 20.\nAnswer: -20456366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**(-2\/19))**(-18)\/((z**0)**(-10)*(z\/z**(3\/7))\/(z**5*z*z)) assuming z is positive.\nAnswer: z**(927\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -89. Let p be d*-1*(-5 - -6). Sort p, 11, 0 in increasing order.\nAnswer: 0, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utt when three letters picked without replacement from utttuu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -166696739 + -0.6?\nAnswer: -166696739.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:34 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*r**3*t - 12*r**2*t + r*t**2 - 98*t**2 - 5*t wrt r?\nAnswer: 21*r**2*t - 24*r*t + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-580)\/15 + 4)*198\/(-44). Solve 157*v + 2 = l*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 + l - 1. Let i be n(1). Let c(p) = 2*p. Let z(k) = 3*k + 74. Let w be z(-27). Let t(a) = -2*a. What is i*t(s) + w*c(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*a**2 - 46*a**3 - 2 + a**2 - 6*a + 47*a**3 as r*a**2 + t*a + c*a**3 + w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*i + 6*d - 10, 3*i + 3*d = 18. Let l(o) be the first derivative of 2*o + 1\/3*o**3 - 1 + 3\/2*o**i. Suppose l(p) = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 47. Let w = x - 2. Let r be (-1)\/(-2) - (-2)\/(-2). What is the nearest to r in -3, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 4*n**2 - 6. Calculate v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.9828 millilitres to litres.\nAnswer: 0.8199828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-9 - -15)) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 p when four letters picked without replacement from pgggppg.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 10*o - 21*o + 5 - 6 - 2.\nAnswer: -24*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 32*y**2 + 3*y - 4. Suppose -3*i + 40 = -89. Let q = 46 - i. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -70*i**5 - 30*i**4 - 4*i**2. Let y(p) = 70*p**5 + 31*p**4 + p**3 + 3*p**2. Let d(j) = 3*r(j) + 4*y(j). Factor d(v).\nAnswer: 2*v**3*(5*v + 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5066816.\nAnswer: -5\/5066816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5647.\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -54, 1, 4.\nAnswer: -54, -4, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**6)**24\/((u*u**(-2\/7))\/u*u*u**(2\/11))**(3\/29) assuming u is positive.\nAnswer: u**(-321759\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*q**2 + 106*q**2 - 1411*q**2.\nAnswer: -1469*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0)*(-6)\/(-9). Let b be k*(-2)\/4*-3. Let r be (90 - b\/(-3)) + -1. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 14 - 2 - (5 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 488?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/5 + 522\/55. Let p(f) = -2*f - 3. Let z be p(-5). Let k = z + 97\/6. Find the common denominator of k and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-83322283737926\nAnswer: -83322283737925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74.179 - -0.179. Let h = l - -74.0087. Round h to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 k when four letters picked without replacement from {d: 3, k: 6, p: 4}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let m(d) = 3*d - 2*d - 2 + 4. Let g(h) = -3*h - 22. Let o(t) = -2*t - 11. Let l(x) = -4*g(x) + 9*o(x). Let a(q) = -4*l(q) - 22*m(q). Give a(k(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 21533*r + 25808*r + 3 to q*r + o and give q.\nAnswer: 4275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(448) - (3 + 2 + sqrt(448))**2) + 6*(sqrt(448) + -2)**2 + sqrt(448) + -2)*5 + 3)*2.\nAnswer: -2560*sqrt(7) + 22346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 10, k: 3, z: 1}. What is prob of picking 3 w?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 355013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115924241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 1. Let u be o(-2). Suppose 0 = l + u*l. Solve 0*d + 2*d = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40093005569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16990945?\nAnswer: 5, 31, 109619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 7*t + 9 = 29, -3*s = 3*t + 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 17 = -2*y + 8, -r = -5. Suppose y*f + 12*f - 96 = 0. Solve -2*s = 3 + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 25*s**4\/12 + s**3\/3 - s - 24. Let g(o) be the first derivative of f(o). What is the second derivative of g(n) wrt n?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:21 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -285.1553 + -2376122?\nAnswer: -2376407.1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 23653 + 6733. Suppose 14*m - k = 8*m. Round m to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 18. Let p = -36 + f. Let k be 24\/p + (-112)\/(-186). Is k at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -18151.\nAnswer: -10\/18151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-206)\/309*14\/266\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137241 - 2?\nAnswer: -137243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*(-2)\/4*1. Solve -s = -v + 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 5*t - 6*t as w*t + f and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a + 48*a = -n + 4, -8 = 5*a + 3*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -c + 552480 + 237944, -5*c - d + 3952177 = 0. Let r = 412436 - c. What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*b - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030502 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 308579207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Suppose 6*l + 12 = 9*l. Let d(u) = u - l*u - 3*u + 3*u. Give d(f(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.7923ml to litres.\nAnswer: 0.0287923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 15, 3*g - 93 = 3*r - 75. Solve -g*f - 916 + 889 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*w - 4 = 6, 3*h + 23 = -5*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/510*(-18)\/(-24)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 65, 89, 127, 185, 269, 385, 539?\n\"Answer: s**3 - 2*s**2 + 15*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -105, 2, -1, 5 in decreasing order.\nAnswer: 5, 2, -1, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 - 5*g**4 - 685*g**3 + 1305*g**2 + 1980*g = 0. Calculate g.\nAnswer: -12, -1, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-3 - -2) + (-66)\/3. Let c = 60 - n. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11335 is divided by 10894.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4354 = -28*g - 85*g + 752 - 3856 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.278412054 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 399734386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14*q - 336 = 0. Suppose 8*k + q = 15*k. Let m = -22 + 40. Solve -x + m = k*l - 0, l = -3*x + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5335 - 12*i + 27*i - 9*i - 5330 - 7*i.\nAnswer: -i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 6. Let z(t) = t. Calculate -r(y) + 3*z(y).\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i + 1 = -299 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.24 greater than -327\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = p. Suppose 3*i + 0*i - 3*c = 9, -5*c = i - 3. Let b be p\/2 - (-3)\/i. Solve b = q - 4*q, -4*y - 3*q = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (349*f**3 - 175*f**3 - 105*f**3)*(-2*f**2 - 5*f**2 + 33*f**2).\nAnswer: 1794*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110.8 + 111. Suppose -29*c - 102 + 15 = 0. What is the smallest value in c, y, 0.5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 792.5268 - -16524.\nAnswer: 17316.5268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0343579l in millilitres?\nAnswer: 34.3579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21996 and 312?\nAnswer: 43992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 6679*a**2 - 2384160*a + 2384160*a - a**3.\nAnswer: -a**3 - 6679*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:10 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 8 + -9 - (13 - -2 - -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(153)\/(sqrt(18)\/sqrt(2) + sqrt(9)) + sqrt(17))*2*-2*-4*2.\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -3\/7, 344\/5, 20\/41, -8, 0.5?\nAnswer: 20\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10268, -9776, -9284, -8792, -8300?\n\"Answer: 492*p - 10760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -104028, -12 in increasing order.\nAnswer: -104028, -12, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xhrhrxzzxzrrzazzzhra.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Suppose -g + 0*m - o*m + 1 = 0, -7 = -2*g - m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2. Let s be ((-26)\/10 - -3) + (-16)\/40. Let q(x) be the first derivative of 0*x + s*x**2 - 6 - 1\/3*x**3. Determine y(q(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 2839\/221) + 132\/(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61757*l - 1 - 2*l**2 + 61756*l - 2*l**4 - 23*l**3 - l**4 to the form n*l**4 + w*l + f + g*l**2 + z*l**3 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3*i - 2*a**3 - 2*a**2*i - 23*a*i + 1313568*a + 1517*i wrt i.\nAnswer: 3*a**3 - 2*a**2 - 23*a + 1517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 43*a. Let o(n) = 5*n**2 - 343*n + 1. Determine o(h(j)).\nAnswer: 9245*j**2 - 14749*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*y + 2 + 2, 0 = -2*d + 5*y + 8. Let g(x) = 7*x**2 - 2*x. Let w be g(d). What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let o be t(-3). Suppose m + o*i = 201, 5*m + 2*i - 587 = 483. Let v(p) = 4*p + 12. What is the lowest common multiple of v(0) and m?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 722711381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*f - 2*y + 16, -f + 4 = y. Let u(s) = f*s - 1 + s + 2. Does 9 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 20*a - 33. What is the tens digit of v(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-4)\/(-24)). Suppose 5*s - 280 = -51*s. Let l(h) = 2*h**2 - 3*h - 1. Let k(c) = 3*c**2 - 5*c - 2. What is s*l(b) + t*k(b)?\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7 (b) -1 (c) -5 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, i: 3, n: 1}. Give prob of sequence iiic.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -2.7\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-10) + (-3)\/(-9). Let d(p) be the third derivative of 0*p + 0 - 7\/3*p**4 + 4\/3*p**3 - 2*p**2 + u*p**5. Determine o, given that d(o) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 17*x - 25*x. Which is greater: x or -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t. Let f be t\/(1\/((-1)\/2)). Factor 7\/3*o**3 - 5\/3*o**2 - 2\/3*o + f.\nAnswer: o*(o - 1)*(7*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1000748 and 20820.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000000 + -1010?\nAnswer: -1110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*((-26316)\/(-215))\/(-68).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 6. Let m be (2\/2)\/((-1)\/(-2)). Suppose -37 - a = -m*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 4*u + 6. Let n be f(6). What is the tens digit of (-1566)\/n - (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-216)*14\/4)\/(27*(-24)\/7776)\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7 - 2) + -7 + (-6 - -16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1642*c**3 + 9*c**2 - 7*c - 2. What is d(1)?\nAnswer: 1642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -5, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107495535 to the power of 1\/2, to the nearest integer?\nAnswer: 64090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 1. Suppose 2*j + 10 = 7*j. Let m(g) = -j + 6 + 1 - 4. Let p(l) = -m(l) - r(l). Give p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + (-161)\/21)\/((-13)\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16964810 plus 10.52749?\nAnswer: -16964799.47251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1224\/108 - 4\/(-6) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrz when three letters picked without replacement from llxllffllllxlfrlzll.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**3\/6 + 13*v**2\/2 - 7*v. Let o be h(-13). Suppose o = -5*i + l + 2*l + 1018, -3*i = -2*l - 611. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.04, -0.002, -0.2, 32, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 5*u + 2. Determine t(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 830 = k + n, -5*n = 3*k + 826. Let d = k + 524. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 4, a: 5, c: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 4, n: 1, s: 11}. Give prob of sequence nr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899097349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258 - -1852. Let b = -1162 + t. Suppose 0 = -d - p + b, d - 6*d = 2*p - 4755. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j*y*z**2 + j*y*z + 10*j*y + 2*j*z**4 - y*z**3 + 101*z**4 + z**3 + 2*z**2 wrt z?\nAnswer: 48*j*z - 6*y + 2424*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/5 - 1076*y**2\/5 - 19538*y\/5 + 95496\/5 = 0?\nAnswer: -519, -23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from xilkxqo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3110211800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - i - 35 = 0, -3*g + i = 23 + 12. Let c be 66\/9 - g\/15. What is the units digit of (-30 - -9)*c\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4180.5*-8261\nAnswer: 34535110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 - 52)*(4210\/3500 - 12\/10) and -17\/126.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-70)*2*3\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342*a**3*u**2 - 17*a**3*u + 2*a**2*u**2 - 3*a*u**2 + 5*a*u + 109*a + 10*u wrt a?\nAnswer: 2052*a*u**2 - 102*a*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-20) - 2\/5. Suppose -f = f - n. Let y = -48302 + 48306. Calculate the greatest common divisor of f and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 - 3*c**2 - 10*c**2 - 7*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 - 4)*(-16 + 16 + 3*f)*(7*f**2 - f**2 - 2*f**2) to the form k*f**2 + l*f**3 + y + n*f and give l.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60947280, 60947278, 60947274, 60947268, 60947260, 60947250?\n\"Answer: -l**2 + l + 60947280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v*x**3 - v*x*y**2 - 131*x**3*y**2 - 2*x**2 - 2*x*y**2 + 3*x*y wrt x?\nAnswer: -18*v - 786*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 12*p**4 - 68*p**3 + 84*p**2 + 36*p = 0?\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-2)*7\/(-35). Suppose k = -3*z + 9, 2*z = 3*o - 50. Let l = 54 + -19. Calculate the remainder when l is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -101. Let r(g) = -g**2 - 5*g - 3. Let k be r(-3). Calculate the highest common factor of x and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/(-10) + (-32)\/(-80). Put 0.2, 65, b, 4 in descending order.\nAnswer: 65, 4, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**4 - 2*i**4 + 0*i**4)*(2 - 2 - 1)*((1 + 0 + 0)*(-2 + 2 + i) - 3*i - 2*i + 3*i + 0*i - i - 2*i).\nAnswer: 28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 2*c. Let s(t) = -3*t**2 - 5*t. Let h(u) = -2*s(u) - 5*z(u). Let a(l) = -8*l. Determine a(h(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1822*g + 187423. Determine v(103).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:32 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 438732*s**2 + 12030579852*s - 12030141124.\nAnswer: 4*(s - 54841)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -4.1 (c) 2\/7 (d) -0.01 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/9 + (-3)\/9. Let q = 4.6 - 7.6. What is the closest to y in -4, q, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 1268064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + (0 - -3). Suppose -5*w + 4*r = -22, 0 = -2*w - r - 5 + 6. Let l = z - w. Let p(i) = -i + 1. What is p(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 66156*g + 992315\/3.\nAnswer: (g + 5)*(g + 198463)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*42\/(-161))\/3.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3649648197 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 193, 198, 207, 220, 237?\n\"Answer: 2*k**2 - k + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2 + 0 - 2 + 7 - 10*q. Calculate u(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4 + -9 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1166 + 1168. Solve q*z - 5*l = 14, 4*z + 0 - 4 = 4*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5720 - -13927. Are c and 8210 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29502)\/(-264) + 1*(-2)\/(-8). Calculate the greatest common divisor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9368 + 9368 + 2050*u**2 - 2023*u**2.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = -0*q. What is the closest to -1 in 0.1, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -2*s + 117. Suppose 0*q - 3*q - 4*x + s = 0, 0 = 5*x - 20. Suppose -2*p = 3*p - q. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + c**3 + 2*c**3 + (3*c**2 - c**2 - 4*c**2)*(-16*c - 2*c - 5*c) - 5*c**3 - 4*c**3 + 6*c**3.\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v\/(((v\/v**(-1))\/v)\/v)*v)\/v))\/((v*v\/v**(-2\/23))\/v))**32)**(-31\/4))**(5\/12) assuming v is positive.\nAnswer: v**(7750\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -706403?\nAnswer: 3\/706403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(((-3)\/(-3))\/(-1)). Solve z + 4 = -u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10703 * 2.6\nAnswer: -0.278278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + u**2)*(-4*u**3 + 0*u**3 + 3*u**3) + 14*u - 8*u**5 - 14*u + (3*u - u**2 - 3*u)*(-u + u + u**3).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543665 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -357565677 less than -357565677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*d - 8. Let f be d\/8 + 1980\/48. Let h(r) = -12*r - 97. Let u be h(-8). Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533452.2 millimeters in nanometers?\nAnswer: 533452200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4 and ((-34)\/4 - 0)*3\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 1. Let c be b(2). Suppose 6 = -0*n - c*n. Let u(o) = -2*o**2 + o + 1. What is u(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, k: 1, o: 3}. What is prob of picking 1 o, 1 g, and 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 43*k = 49*k + 59*k. Solve -283*t + 298*t - 90 = k for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17902 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 52*r**2 + 241. Let a(n) = -27*n**2 - 120. Let t(w) = -5*a(w) - 2*x(w). What is the derivative of t(b) wrt b?\nAnswer: 62*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99849*s**3\/7 - 28527*s**2 + 99831*s\/7 + 9\/7.\nAnswer: 3*(s - 1)**2*(33283*s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323 + 322.999999276. Round l to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128013.\nAnswer: 3, 71, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1390 and 41686934.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 4808?\nAnswer: 4808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*u**5 - 5*u**5 + 9*u**5 + (3*u - 3*u - u)*(u**4 - 12*u**4 - u**4).\nAnswer: -19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434568661?\nAnswer: 83, 1361, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3 - 5*b**2 + 4*b**2 - b**2 + b**3 - 2*b**2. Let n be q(4). Is n <= 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, -6.\nAnswer: -6, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**3\/3 + z + 49. Let w(t) = 20*t - 15*t**2 - 8*t + 14*t**2. Give a(w(o)).\nAnswer: -2*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3949, -15763, -35453, -63019, -98461, -141779?\nAnswer: -192973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.4 (c) -9 (d) -141 (e) -4 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 1024*z**2 + 117630*z + 343728.\nAnswer: 2*(z + 3)*(z + 168)*(z + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3 - 3 + (-w + 4*w + w)*(0 + 3 - 1))*(3 - 2 - 2).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1)**2 - (sqrt(704)*1)**2.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**6\/3 + y**4\/6 - 31*y**2\/2 + 25*y - 24. Let p(x) be the first derivative of n(x). What is the derivative of p(z) wrt z?\nAnswer: 40*z**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40842.1937 rounded to the nearest one hundred?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 36 = -4*n. Let h = -2 - n. Calculate the lowest common multiple of 4 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/5526904 and -93\/88.\nAnswer: 60795944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87 + -2?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2. Let l(i) = 18*i**2 + i. Determine -l(j) - 3*x(j).\nAnswer: -15*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 55750933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1375.3 - -1453. Let u = -78 + z. Let w = 0.34 + -0.04. Sort 0, 1, w, u.\nAnswer: u, 0, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 + 0*w**3 - 9 - 5 - 3*w**3 + 2*w**3. Let s be f(-6). What is the highest common factor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.0413, 3, 1\/3?\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1582352 (base 9) to base 2\nAnswer: 11010111000100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 35 = 3*g. Let u = -12 - g. What is the remainder when 1 is divided by -3*(-2)\/u*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15562.\nAnswer: 2, 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4506506 to the nearest integer?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145133189 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: Let m be (-1)\/(26\/14 - 2). Let k = -15 - -22. Suppose k*g + 168 = 10*g. Calculate the highest common factor of g and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29038.9 in 2\/3, 1\/8, 1\/36?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/36 + 2\/((-42)\/245).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 23*k**2 - 14. Let o(t) = -8*t**2 + 6*t + 5. Let x(l) = -16*l**2 + 11*l + 10. Let f(r) = 11*o(r) - 6*x(r). Give -8*f(c) + 3*m(c).\nAnswer: 5*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 5. Let r be 1\/(-3) + (-2)\/3. Let g be 1*(6 + 5 + -6). Let n(v) = -1. What is g*n(c) + r*k(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 284\/18 + (-2)\/(-9). Let n(m) = -m + 25. What is the remainder when (-15)\/(-10)*y\/2 is divided by n(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, g: 3, q: 3}. What is prob of picking 2 w and 2 q?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 18*z**2 + 5*z**2 + 3 + 2*z - 2.\nAnswer: 23*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*t = -2*w + 24, w = 5*t + 18. What is the tens digit of (78\/(-1))\/(w\/528*-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 192*v**2 + 12683*v - 1249. Calculate a(-244).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4526?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 5*k**2 + 3 - 5*k + 4*k + 5*k to the form l*k**2 + x*k + p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 - 18 = 0. Let z = 0.03 + 1.97. What is the closest to -0.1 in i, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, 2, -4, -1, -10.\nAnswer: -10, -4, -2, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/10 (c) 0.3 (d) -37 (e) -4 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 5344 - 5340. Let t(h) = -15*h + 16. Calculate t(r).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -17, -0.22, 0.4, 4 in decreasing order.\nAnswer: 4, 0.4, -0.22, -3\/8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wre when three letters picked without replacement from {r: 1, w: 2, l: 2, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -119410 and 252.\nAnswer: -30091320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 2*j + 2*j)*(2 - 2 + j) + 7*j - 4*j**2 - 7*j to w*j + n*j**2 + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5380 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3 + 7*y**2\/2 + 7*y + 4. Let i(w) = -3 + 0 + 9 - 4 + 2*w + w**2. What is 7*i(n) - 2*z(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s + 2. Let f be (-3)\/(9\/(-6)) - s. Let w = f - -7. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 15\/2*p**3 + 2 - 41*p + 3*p**2. What is the derivative of o(s) wrt s?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - g - 8. Give n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 72 - 147 = -66 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 693, 0.3, -0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2210 + -2194. Solve 3*t = -3*a - 18, -5*t - k = 3*a + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 14*a + 15. List the prime factors of b(-17).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*h*y**3 + 2*h*y**2 + 615*h*y - 5*h - 445096*y**6 + 2*y**2 + 549*y wrt y?\nAnswer: -54*h - 53411520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 5*r - 3. Let v be b(-3). Suppose -m - v*w = -19, 2*w - 4*w = 4*m - 26. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385239 is divided by 429.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86203 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*-1*(-20)\/(-16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 4:00 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 - 2*m**2 + m**2 to the form r*m**2 + s + i*m and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1612 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5721*h + 28578. Calculate t(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**3 + 238. Let f(t) = -t. Let m(x) = -2*x. Let d(o) = -f(o) - m(o). Give a(d(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23336*l - 484734 - 285354 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 2*b - 5. Let k be x(4). Suppose k*d = 8*d + 4*p - 292, 4*d + 5*p = 230. What is the greatest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 2. Suppose 594 - 342 = -4*k. Let o be (-7)\/k + 5\/((-45)\/(-62)). What is q(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 8*w + 814 = 0. Suppose 0 = 9*u - 6*u - g - w, -2*u + 50 = -g. Calculate the least common multiple of u and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 7*z - 7. Let r be k(5). What is the derivative of -1 + 1 - 11*g + r*g - 2 wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308\/2926 - 60\/209\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6612391 and 0.1.\nAnswer: -6612390.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) - -2*(-2*sqrt(2016) + sqrt(2016))) + 5*2*sqrt(2016))\/(-6*(sqrt(112)*-5 - sqrt(56)\/(2*sqrt(8)))).\nAnswer: 36*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01356 and -259.7.\nAnswer: -259.71356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 1\/12*g**4 + 0 + 0*g - 3*g**2 + 0*g**3. Calculate r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 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: Let d = 42316574 + -48604722.6. Let j = -6288353.601032 - d. Let z = 205 + j. What is z rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 11*x**2 - 3*x - 23. Let k be g(-9). Let a = k - -269. What are the prime factors of a?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048474629 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - h - 1. Let r be j(-1). Suppose -a = -r*n + 13, -2*a - 2*a + 4*n = 12. Let v(m) = 4*m**3 + m**2. Let o be v(1). Solve a*x - 3 = o*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46692, -1\/25, 5.\nAnswer: -1\/25, 5, 46692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5912 - -41148\/7. Let s = 34 + y. Determine t, given that -s*t**3 + 2\/7*t - 2\/7 + 2\/7*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 86 - 525 = -132*d. Solve 36\/7*j**4 + 432\/7*j**2 + 216\/7*j**3 + 0*j + 0 + 2\/7*j**d = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:37 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*c - 26 = -62, 4*c - 11 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 67949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 17*l - 9. Let a be 12*(-4)\/(-36)*l. What is the units digit of (a + 5)*(2 + 62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41\/(-451) + (-624)\/(-88). Let m(d) = d**2 - 6*d + 43. Calculate m(r).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b - 3*b)*(126 + 122 + 13 + 53).\nAnswer: -1256*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + sqrt(147) + 0))**2.\nAnswer: -280*sqrt(3) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 322\/69*(-108)\/(-14). Suppose 2*x + 2*x - t = 0. Find the second derivative of 11*u - x*u + 15*u**2 + 4*u wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - -9. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2147 - -5344. Suppose 0 = 4*w - a - 5477. Suppose -3*q + w = 2*n, -q - q + 8105 = 5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 36. Which is smaller: c or 11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -14, -71, 8\/77?\nAnswer: 8\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -414301571712 plus 28?\nAnswer: -414301571684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = y + 2*a - 4, 4*y + a - 45 = 0. Let d = -9 + y. Solve d*x + 3 = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3 + 25 = 0. Suppose q*j = 5*j. Solve -5*b = -5*z - 0*b, j = -5*z - 3*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205 and 0.5?\nAnswer: -102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-106)\/(-88))\/((-51)\/136)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/220 - 47*n**4\/44 - 93*n**3\/22 - 139*n**2\/22 - 639*n. Factor a(d).\nAnswer: -(d + 1)**2*(d + 139)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-17))\/(-9*(-5)\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {x: 1, i: 3, e: 3, y: 3, r: 2, q: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/10080 + z**7\/504 + z**6\/60 - z**5\/12 + 6*z**2. Let b(h) be the third derivative of g(h). Find n such that b(n) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - -28. Let a = 269 - x. Let w = -77 + a. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/210 + 169\/210. Let h(z) be the first derivative of 2 - y*z**3 + 0*z + 2*z**2. Find the second derivative of h(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(3*4\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 192, 670, 1620, 3204, 5584, 8922, 13380?\n\"Answer: 27*u**3 - 7*u**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 12*m + 24. Let a be k(7). Let g = a + 20. Let b be 1\/3 - 5\/(-3). Solve q - g = -b*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7441683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7445005 to the power of 1\/2, to the nearest integer?\nAnswer: 2729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2\/21, -5\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 9*r**2 - 8*r. Let z be g(8). Let f be (20\/8 - 3)*z. Let y(x) = -x**2 + f + 0 + 2 - 5*x. Calculate y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 4, b: 2, w: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1134 = -10*x + 1184. Calculate the greatest common factor of 8 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.32 - 0.32. Let j = r + -16. Which is the third biggest value? (a) 1\/6 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1304544 rounded to 2 dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564884259*i**4 + 234414884*i**2 wrt i.\nAnswer: 13557222216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*j*p**2*v**3 - 9*j*p**2*v**2 - 4*j*v**3 + 5*p**2*v**2 - 3*v**2 wrt v?\nAnswer: 1380*j*p**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 - p**2 - p**3)*(10 - 2 - 7)*(-4*p**2 + 4*p**2 - 3*p**2).\nAnswer: 6*p**5 + 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6868586*y**2 - 1212299*y - 1?\nAnswer: 13737172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106301005 + 4?\nAnswer: -106301001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-4 + 7 - 2). Suppose -w - 3*w + 208 = b. Suppose -236 = -4*c - w. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76243978 is divided by 318.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6950 - 6954. Put 2, 1\/3, -326\/5, m, 5 in descending order.\nAnswer: 5, 2, 1\/3, m, -326\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200300300210 + 13?\nAnswer: -200300300131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -21135.\nAnswer: -97\/21135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28306168 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 54 + 72. Let g be z\/70*-5*31. Suppose -3*a - 3*x + g = 0, 0 = 2*a - 5*x + x - 56. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50198 is divided by 837.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -11, 4, -5, 3, 1 in descending order.\nAnswer: 4, 3, 1, -5, -11, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 59*p + 1. Is 27 a factor of k(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 132 + 55?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 3. Let c(r) = -2 + 0 + 1 + 0. Calculate 6*c(w) - d(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1672272 and 39347?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203210023113 (base 4) to base 8.\nAnswer: 43441327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4541712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -915286 divided by 2\nAnswer: -457643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 10*g**2 + 3*g - 29. Let p(c) = c**3 - 5*c**2 - c + 14. Calculate 2*o(q) + 5*p(q).\nAnswer: q**3 - 5*q**2 + q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 577897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 2193 - 2273 = 0. Let d(i) = -i + 7. Give d(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4732 and 31\/234.\nAnswer: 42588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:17 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from akfff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -1. Let t be (-1)\/m - 1\/2. Let u = -3 - -4. Which is the second smallest value? (a) 2 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -56. Let i be -6*3\/f*(-192)\/(-18). What is the highest common divisor of 32 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129356 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 - 2. Let z = i + -2. Let q(v) = -v**2 + 9*v + 20. Let r be q(11). Which is the nearest to -2\/7? (a) -2\/7 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5664495 or 5664496?\nAnswer: 5664496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79771098?\nAnswer: 2, 3, 11, 523, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + 10\/(-24). Let l(f) be the first derivative of 0*f + 0*f**2 - 1\/2*f**4 + q*f**6 + 2\/5*f**5 - 2\/3*f**3 + 4. Factor l(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652 (base 8) to base 9\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2050*d**2 - 16*d - 133. Is s(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 6206?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*s**3 - 58*s**2\/5 + 12*s\/5.\nAnswer: -2*s*(s + 1)*(35*s - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3181 - -3181.4. Let b = -13 + 13.5. What is the nearest to -1\/61 in r, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1713.99996237 + -1714. Round b to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*q**2 - 85*q**2 - 2 - 2)*(5 + 22 - 4) - 1 + 1 - 2*q**2.\nAnswer: 21*q**2 - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/71, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*o + 8, 6*g - 2*g - 15 = -5*o. Which is greater: g or -0.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 28 = 6*b, 0 = 172*f - 167*f - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (27 + -3 - 28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) 9 (c) 2\/3 (d) -4\/1103 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -300, -452, -608, -768, -932?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 194606.2001 to the nearest one hundred.\nAnswer: 194600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 2449 + 10*v**2 - 9*v**4 - 2460 + 7*v**4 - 36*v**2 as u*v**2 + k + x*v + c*v**3 + g*v**4 and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Let s be (42\/9 - d)*6. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54899717 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77087 + -41062. Does 154 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:15 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 - 3*a - 5. Let w be o(5). Let t = w + 23. Suppose r = 3*g - r - t, 0 = 3*g - r. Sort 5, -3, g.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let v(q) be the first derivative of -q**2 - 1. What is v(b(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - 4*j - 9. Let v = 421 - 423. Let o be m(v). Determine s, given that -3\/5*s**3 - 12\/5*s**2 - o*s - 6\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 150 in -6.3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 54*x - 68. Let b be k(7). Let w = b + 85. What are the prime factors of w?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p - 2. Let s(u) = -10*u**2 + 9*u + 10. What is 4*s(k) + 20*y(k)?\nAnswer: -20*k**2 + 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2) - (-324)\/63.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27335767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Suppose -6*n + 30 = -n. Let c(h) = 7*h - 1. Give n*f(y) + 2*c(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -417 + 461. Let o be (-143)\/(-3) + 12\/(-18). Suppose -q*j + o*j = 561. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 158016 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 574 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*o + 13, 7*i + 1 = 3*i + 5*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4165 - 3?\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1400 + 8299\/6. Let s(b) = -b**3 + 10*b**2 + b + 6. Let f be s(10). Find the common denominator of (-45)\/(-6)*f\/(-6) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22805 from -270345047.\nAnswer: -270367852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, u: 5, g: 3}. Give prob of sequence pupp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**4 - 6*h**3 + 6*h - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 80 - 82 + 4*q - 69.\nAnswer: 4*q - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 4*f - 3*f - 2)*((0*f + 3*f - 5*f)*(2*f - 2*f - f) + 6*f**2 + 0*f**2 + 3*f**2) as u*f + w*f**2 + k*f**3 + q and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 161 + 219 = -234 - 236 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8945 divided by -1789?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -429.0000751 + 429. Round s to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -414, 3, -2\/11, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -62, -603, -2152, -5243, -10410, -18187, -29108, -43707?\n\"Answer: -89*z**3 + 30*z**2 - 8*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:36 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201389, 200665, 199941, 199217, 198493?\nAnswer: 197769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 29. Let y(i) = 7*i**2. Determine q(y(o)).\nAnswer: -7*o**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -50012.54 rounded to the nearest one hundred?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6 + 3*h + 5 - 2*h + 7. Let p(o) = 2. Let d = 44 + -39. Give d*p(v) - 2*s(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/27)\/a*a\/(((a*(a*a**(-9\/2))\/a*a)\/a)\/a) assuming a is positive.\nAnswer: a**(245\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -605*s**4\/2 + 495*s**3 + 4215*s**2\/2 - 5300*s + 3000 = 0.\nAnswer: -3, 1, 20\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, 16, 108, 210, 304?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, 1\/5, 0.4, -1159, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -100. Let x be 2\/(-12) + (-7)\/(-6). Solve o - 4 = -3*c - x, -5*o + s*c + 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 124. Suppose -5*n = -f - 47. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 3}. What is prob of sequence di?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62171 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p - 0*z + 4*z, 0 = -5*p - 3*z - 21. Let u(s) = -s**3 - 3*s**2 + s - 3. Determine u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 15365.\nAnswer: -7682.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -17?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 5) to base 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 21. Let v be q(-3). Let f = v + 40. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1222\/(-12) - 12\/72. Let i be (-14)\/(-77) - j\/165. Let r = 2 + -1.9. Put i, r, 2\/21 in increasing order.\nAnswer: 2\/21, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.476 and -22?\nAnswer: 10.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) - (sqrt(35)*-3)\/sqrt(7) - sqrt(5))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhlhululhlhl. Give prob of sequence lluh.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -426*y + 412*y - 16 - 45 + 14. Let f(k) = -k**2. Determine g(f(s)).\nAnswer: 14*s**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 486 + 441 = 4*s, 5*g + 5*s + 55 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + 6*-5*(sqrt(5) + sqrt(5) + ((sqrt(5) - (sqrt(5) - (sqrt(5) - (sqrt(245) - (3 + sqrt(245))))))**2 - sqrt(5)) + sqrt(5) + -3)).\nAnswer: -720*sqrt(5) - 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/42*(-5 + 12)*20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gngggnngnggwgw. What is prob of picking 1 n and 1 g?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(2 - (-20)\/(-6)). Suppose -47 = 5*t - 297. Suppose t = 5*i + 5*c, i + 0*c = -3*c + 20. Solve -14 + h = i*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30083 by -1.\nAnswer: 30083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 19 (c) -1\/43 (d) 0.3 (e) 13\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46972 and -4?\nAnswer: 1.87888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -170*l - 8. Let w be j(-4). Let h = -399 + w. What are the prime factors of h?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - 84 - (-37 + 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 3*s + 3*s + (s**3 - 2 + 2)*(0 + 2 - 1) - 3*s**3 + 0*s**3 - 3*s**3 + 0 + 0 + s**3 + (-5*s**2 + 0*s**2 + 4*s**2)*(s + s - 3*s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + (sqrt(288) - (-1*(1 + sqrt(288) - sqrt(288)) + sqrt(288))))**2 + 4 + (-5*(sqrt(288)*3)**2 - sqrt(288))).\nAnswer: -25912 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 9\/(-3))*2. Let j(h) be the second derivative of 0 - 11\/70*h**5 + 3\/14*h**t - 1\/7*h**2 - 3*h - 1\/21*h**3 + 4\/105*h**6. Factor j(g).\nAnswer: 2*(g - 1)**3*(4*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:02 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11100010?\nAnswer: -11100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.4305741 seconds to hours.\nAnswer: 0.00095293725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -465, -491, -537, -609, -713, -855?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, f: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94295084, -94295086, -94295088, -94295090?\n\"Answer: -2*d - 94295082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5 - 2*l**4 - 8*l**3 = 0. What is l?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -2.8, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7400249, 4, 5, 13 in increasing order.\nAnswer: -7400249, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130204 + 11718509\/90. Calculate the common denominator of m and -89\/8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7539+528.7673249\nAnswer: 528.0134249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-12) + 2\/6. Suppose 4*h + 3*i = 7*h - 30, 0 = -h - 5*i + 4. Let m(c) = -h*c + 2*c + 8*c - 2. What is m(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-5 + 4) - 16\/(-2). Suppose -g - 66 + 181 = -4*f, 5*f = -o*g + 418. What is the first derivative of -91 - 2*i + 30*i + g wrt i?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i - 35*i + 22 = 34*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7747*x**2 - 16777 + 163579*x**2 + 16777.\nAnswer: 171326*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -81*g - 483. What is d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1530*w + 99452. Determine h(-65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238301625?\nAnswer: 3, 5, 635471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 11*j + 14. Let r(n) = 2*n - 4. Let h be r(7). What is the tens digit of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 800, 795, 788, 779?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 18*m**3 - 11*m**3 + 26*m**3.\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (145\/((-40)\/8))\/1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**5\/90 + 4*h**4\/27 + 19*h**3\/27 + 10*h**2\/9 - 41*h + 31. Let r(x) be the first derivative of a(x). Solve r(k) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f*f\/(f\/f**(3\/34)))*f*f\/f**(-2\/7)*f assuming f is positive.\nAnswer: f**(999\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47028\/7 - -6718. What is the closest to 0 in 0.5, 9, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**3 + 3*n**2 - n - 1. What are the prime factors of r(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(66\/36)*(-3)\/(-2). Suppose -231 = -20*a + m*a. What is the remainder when 60 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 366, -1, 11, 4, -4, 2 in descending order.\nAnswer: 366, 13, 11, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 3. Let r be p(-3). Suppose r = -z - 3*z + 12. Suppose -4*y = y - z*h - 77, -2*y + 3*h = -38. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 2. Let a = 10 - 8. Suppose 6 + a = -4*v + 4*d, 0 = -5*d + 15. Put 4, q, v in increasing order.\nAnswer: q, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3165133921780 + 18\nAnswer: 3165133921798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55)\/(3\/15 - (-12)\/15). Let j = a - -63. Find the second derivative of 18*s + 8 - j - 7*s**2 wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*j + 9 = 0, 14*q + 7 = 15*q - j. Solve 0 = q*u + 44 - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 39, 81, 123?\n\"Answer: 42*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(10)\/((sqrt(25)*2)\/sqrt(5)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.0552 - -0.7138. Let c = a + -13. Round c to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10164 is divided by 363.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2)**(-2\/29))**43)**(-46) assuming n is positive.\nAnswer: n**(7912\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 14*z**2 + 16*z**2 - 10*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:20 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569444696?\nAnswer: 2, 29, 2454503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 161 = -11*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538786.\nAnswer: 2, 269393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.019 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 0.66. Let w = 1684763\/4 + -421191. Sort i, 14, w in ascending order.\nAnswer: i, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 - 13*q + 2. Let s be c(3). Is s at most -3\/1228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v\/(v*v**(-1\/5))*v**(-3\/8)*v assuming v is positive.\nAnswer: v**(153\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyubu. What is prob of sequence by?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 - 96 + 5 + 5)*(15*p**4 + 2 - 24*p**4 + 8*p**4 + 3*p**3).\nAnswer: 258*p**4 - 774*p**3 - 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -15 in increasing order.\nAnswer: -15, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -800933?\nAnswer: 3203732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 29. Let r = -4 + j. Suppose -35 = -r*y - 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2146655407 and 0.2.\nAnswer: -2146655406.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(2*(0 + 1)). Suppose a - 10 + k = 0. Solve -3*x + a = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:46 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 2. Let m be x(-7). Let g be (-9)\/(-3) + m\/(-4). Solve -2*o + 20 = -g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 894980 and 1095?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -25) + -6 + 5 - (1 + -8 + 5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 9 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q - 10. What is c(-5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 2. Let c(p) = -p**3 - 2*p**2 - 2. Let m(o) = 5 - 5 + 5*o**2 + 5 + 5*o**3 - 3*o**3. Calculate u*m(a) + 5*c(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 - -1\/3. Let p = -37\/114 - -3\/19. Put p, q, -1\/3 in descending order.\nAnswer: q, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -135*i**2 - 495. Let p(y) = -2*y**2 - 11. Let l(j) = n(j) - 45*p(j). Let o(f) = 38*f + 3. Give o(l(u)).\nAnswer: -1710*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1038 - -1043. What is the third biggest value in -62, x, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9804?\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 7) to base 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w - 0*w. What is the remainder when 27 is divided by (-12)\/9*15\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m + 4*d - 0*d, -4*d = -2*m. Solve 0 = 4*n - 5*y - 21, 5*y = m - 27 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + (22 - 26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60371 or 60372?\nAnswer: 60372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1300) + 1 + sqrt(1300) + ((sqrt(1300) - (sqrt(1300) + 1)) + -5 - sqrt(1300) - sqrt(1300)))*2)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82867?\nAnswer: 173, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2154 - 1419. Let v = -15 + 18. Suppose -4*q - v*q + t = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -0.2, 15.9, 1, 22\/49 in decreasing order.\nAnswer: 15.9, 1, 22\/49, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.98 - 98.02. Let g = v + 198. Let t = 99.000031 - g. What is t rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249390200 rounded to the nearest 1000000?\nAnswer: 249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -101707345311.1.\nAnswer: -101707345297.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 5. Let w(g) = -g + 1. Let x(q) = 3*q - 11. Let h(y) = -5*w(y) - x(y). Let v(t) = -4*h(t) - 5*i(t). Find the first derivative of v(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/((-6)\/(-320)). Let a be (y\/(-9))\/(294\/9). Let g = a + -2\/147. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {n: 6, u: 1, h: 8}?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 - 42 + 2*d**2 + 42.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 + 7. What is r rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1875*j - 1868*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -1\/2*i**5 - 1\/2*i**2 + 1\/6*i**3 + 0 - 28*i - 1\/12*i**4. What is o(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -3 + -1 - ((2 - 13) + 21)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11724 + -3?\nAnswer: -11727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 326\/3, 2\/9, 102\/11 in decreasing order.\nAnswer: 326\/3, 102\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = -4*r, 5*r = 5*j - j + 3. Find the third derivative of -r*p**2 + 15*p + 10*p**2 - 925*p**3 + 717*p**3 wrt p.\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*l - 31 + 8, 97 = -20*l + 3*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/45 and -17\/4446?\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + 7.3. What is the second biggest value in -2\/3, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 40*j - 544 = -78*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 739 + 549 = 0. Let d be b\/112 + 2\/(-8). Let f(p) be the third derivative of -p**6\/120 - p**5\/10 - 7*p**3\/6 - 4*p**2. What is f(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 266.0703.\nAnswer: 53.21406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 4\/(3*3\/(145 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122166, 244330, 366494, 488658, 610822, 732986?\n\"Answer: 122164*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 + 297*u**2\/4 + 2781*u\/2 - 11178.\nAnswer: 3*(u - 6)*(u + 36)*(u + 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730*d = 319*d - 50796 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let c(q) = 3*q - 1 + 1 + 0*q. Give y(c(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + -22. Let j = 135 + x. Suppose 83*p = 79*p + j. Is 25\/4 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 5 - 5)*(-3 - 4 + 5) + j**2 + 0*j + 0*j + j**2 - 3*j**2 - j**2 + 4*j - j**2 - 4*j + (-2*j - 6*j + 2*j)*(4 - j - 4).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5*z - 3*x**3*z**3 - 6*x**3 - 6*x**2*z**2 + 7*x*z**3 wrt x?\nAnswer: 60*x**2*z - 18*z**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11185664?\nAnswer: 2, 7, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 5*y + 4. Let p be i(-5). What is the second derivative of 5*b - p*b + 0*b - 2*b**3 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 11*c**2 + 10*c + 4. Let j be g(12). Let f = 32 + j. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*n**2 - 2*c**3*n + 377*c**3 - 9*c**2*n + c**2 - 1378*c*n**2 + n**2 wrt n?\nAnswer: -6*c**3 - 2756*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*j - 72 - 68, -n - 52 = -2*j. Suppose -100 + j = -y - 4*s, y - 82 = -2*s. Suppose 50 = 5*d + 10. What is the highest common factor of y and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(192) - (sqrt(192) + ((sqrt(192) - 3*sqrt(192)*1 - sqrt(192)) + sqrt(192))**2 + sqrt(192)))*6 - 4*(5 + (sqrt(192)*3 - sqrt(192))))*2.\nAnswer: 1120*sqrt(3) + 46280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -163437916*n. Let v(d) = 4*d. What is h(v(i))?\nAnswer: -653751664*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k - 1 + 0*k + 8*k + 3*k**3 - k**2 + k**4 - 5*k**3 in the form g*k**4 + r*k**2 + w*k**3 + n*k + y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a + 7. Give x(-10).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l\/(l*l\/(l**(-1\/3)\/l))*l)**(-1) assuming l is positive.\nAnswer: l**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:15 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x**3 - 2552*x**2 - 44*x - 14022. Give m(-319).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -2, -12 in increasing order.\nAnswer: -12, -8, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35880963175 + 4.\nAnswer: -35880963171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(n + 0 + 0)*(0 + 0 - 3).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.155, -1\/23, -83 in descending order.\nAnswer: -1\/23, -0.155, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21584, -21583, -21578, -21569, -21556?\n\"Answer: 2*r**2 - 5*r - 21581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220141 - -33?\nAnswer: 220224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(1100)*-2) + 4)**2.\nAnswer: -2*sqrt(7)\/5 + 6407\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1177 + 5451?\nAnswer: 6628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 17*s - 2*s - 7*s - 4*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*sqrt(891).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/151 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8738 and 68?\nAnswer: 17476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24\/2 - 5220\/464\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 338*l + 340*l + 53 = 0, -b - 5*l = -18. Solve -3*x = 4*s - 48 + b, 5*x + 7 = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006705963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (121\/(-11) - -5)\/(-10). Which is the third biggest value? (a) -0.1 (b) m (c) 0.2 (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(21 + 31 - 41 + 2*j).\nAnswer: 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 10. Suppose -2*f - c = f - m, -c = 3. Let s(z) = -z**2 - 7*z - 2. What is the lowest common multiple of f and s(-4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 6:11 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = -299*j + 678 + 49. Solve 1 = -q - j*y, q + 7 = 2*q - 4*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2*1\/2. Let c = -0.27 + 0.07. Let a = 0.05 - 0.05. What is the closest to a in c, 4, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2)\/65631118) - -3. Let f = z - -47415552. Suppose 0*u + 4*r - f = 2*u, 0 = -4*u + r - 29199999. Round u to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:14 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 324913, -1\/6, 9?\nAnswer: 324913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -2440?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -329635499\/4 equal to -82408875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18107713 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -2) + 0)*-2. Let f = n - -5. What is the third derivative of 4*y**2 - 2*y**3 - f*y**5 - 6*y**2 + 2*y**3 wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 363602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.0541 and 11101.\nAnswer: -122711.5641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 653604 and 336.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333102010 + 330?\nAnswer: 1333103000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 6169*u**2\/3 - 4188640*u - 2811120384.\nAnswer: -(u + 1657)*(u + 2256)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/55*-11.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433.437 minus 0.458?\nAnswer: 1432.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 9*p**5\/20 + p**4\/12 + p**3\/3 + 3*p + 35. What is k(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+12.47\nAnswer: 9.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.69 - 0.51. Let w = m - -20.5. What is the closest to -1 in w, 0.14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 98030 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1686*m**6 + 100*m**2 + 8 wrt m?\nAnswer: -202320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -16.5.\nAnswer: -346.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 4. Let o be (-2)\/4 - 30\/(-12). Let i be u(o). Let h be -1279997 + 1*(i - 3). Round h to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -60*(-1 + (-15)\/6 - -3). Let g(t) = -t**2 + 9*t + 184. Let b be g(-9). Solve 2*r = 5*h + 7*r + i, 5*h + b = -r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -3 - (-3 - 0). Solve 0 = 4*g - 2*w - y*w - 40, -5*g + 2*w = -33 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44483499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92105107.\nAnswer: 92105107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 10) in base 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1077 (base 13) to base 14.\nAnswer: -b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a + 0*a**2 - a**2 + 5 - 5. Let y be p(-5). What is the highest common factor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*p + 71 = 0, 0 = 3*r - 0*r + p - 245. Let o = r + -171. Is (o\/(-10))\/((-7)\/(-35)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*z**5 + (3*z**3 - 5*z**3 + 0*z**3)*(2*z**2 + 3*z - 3*z) + (-3*z**3 + 2*z**3 + 0*z**3)*(0*z - 3*z + 2*z)*(-2*z + 3*z - 2*z).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbcb when four letters picked without replacement from {c: 4, b: 6, g: 2}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -4 (c) -115 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dqamadmadamad.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + -2 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 0*h - 2*h)*((0 + 2 - 3)*(-5 - 2 + 5) + 0 - 5 + 3 - 1 - 2 + 2)*(3693 + 36848 - 16908 + 38728) to j*h + n and give j.\nAnswer: -62361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000010 + 1?\nAnswer: 10000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12101 (base 3) to base 14.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -23. Let l = 3 + -3.2. What is the nearest to 0 in -2\/11, c, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-4 + sqrt(168)\/sqrt(4)*2)\/(6*-5*sqrt(150)*-1).\nAnswer: -sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxz when three letters picked without replacement from {x: 3, m: 1, k: 5, z: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 5, l: 5}. Give prob of sequence xle.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/a**(-2)*(a\/(a*a*a**3*a))**24)**(-21) assuming a is positive.\nAnswer: a**(5019\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab - 3?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, w: 6}. What is prob of sequence wd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9455.\nAnswer: 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-11 - -1) - (1 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*q + 2*q = -20, 16 = -3*o + 4*q. Suppose -3*g - 3*s - s + 15 = o, 5*g + 5*s = 25. Solve 12 = -2*f - g*b + 32, -3*b + 12 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221222201 - -1100202011?\nAnswer: -121020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 684394280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -1.04. Let n be (2\/36)\/(3\/(-12)). What is the third biggest value in 3, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 4 = 0. Suppose 2*x = -y*x + 16. Suppose m + 68 = 3*m - 4*p, 0 = -5*p + 25. What is the greatest common divisor of x and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1703*u**4 + 1051875*u**3 - 1051875*u**3 + (-2*u + 0*u + 3*u)*(5*u - 2*u**3 - 5*u) to a + k*u**2 + i*u + q*u**4 + f*u**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*165\/22. Suppose -4*u + d = -5*q, 1 - 6 = -3*u + 4*q. Let j(r) = r**2 + r - 38. Let f be j(-7). Which is the biggest value? (a) 7 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 - 42*t**2 - 24*t + 65. Let n be z(9). Solve -6*r - n = -62 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 9*y**4\/4 - 15*y**3 + y**2\/2 - 67. Find the third derivative of i(x) wrt x.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*v = 18, 638*v - 637*v = 5*y - 7. Suppose -2\/3*w**3 + y + 2\/3*w - 2*w**2 = 0. Calculate w.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 254, 613, 1130, 1811?\n\"Answer: b**3 + 70*b**2 - 10*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 162*f**4 - 634*f**3 + 14629875*f**2?\nAnswer: -60*f**2 + 3888*f - 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 71049, 70816, 70585, 70356, 70129, 69904?\n\"Answer: l**2 - 236*l + 71284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194937 is divided by 649367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 10 + 10. Let m(a) be the second derivative of -a**6\/120 + 2*a**4 - 26*a. Let w(k) be the third derivative of m(k). Give g(w(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -3. Let n(o) be the first derivative of -o**2\/2 + o + 4. What is the units digit of n(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000173092 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/21 + 96222\/294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let i be x(2). Suppose k - 2*k - 2 = 0. Let h be (48\/396)\/(k\/(-3)). Which is the second biggest value? (a) i (b) 3\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 - 14*k**2 - 20 + 107.\nAnswer: 2*k**2 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 32\/9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 9*v - 7. Let h be i(-5). Let q = h - 6. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -87240.614.\nAnswer: 261721.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -96, -93, -90, -87?\n\"Answer: 3*q - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6 - 16*y**2 + 344*y**4 - 344*y**4 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -9. Put 1, f, -3 in ascending order.\nAnswer: -3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2307 - 391*t**2 - 25*t - 2307.\nAnswer: -391*t**2 - 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10975 - 10780. What is the highest common factor of 49530 and q?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(4\/(-3))*1. Let a be 9\/(-27) - 10\/(-3). Suppose -u = a*b + 2, -6*u + 7*u + 2*b = -2. Put t, u, 2 in decreasing order.\nAnswer: t, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 - 0.7. Let c = -6 - 8. Let t = -13.98 - c. Is t greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 11*b - 5. Determine r(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 30*j + 14. Suppose 3*u - u + 20 = 0. Calculate the remainder when x(u) is divided by 0 + 4 + 0 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -3798.\nAnswer: 1519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 131 - 581. Suppose -n = -7*u - 19. Let i = -104 + 101. Sort i, -2, u, -1 in ascending order.\nAnswer: i, -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -j + 71, 4*v - 2*v - 18 = -3*j. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120726857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1285.3947 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:36 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367951046, 367951047, 367951048, 367951049, 367951050?\nAnswer: 367951051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e6a5 (base 15) in base 14?\nAnswer: 28308","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*6\/(-9) + -3. Suppose -v = v - 2. Let w be 0 + v - (-8)\/(-14). What is the closest to 1\/2 in 2, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11390652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (84\/18)\/(28\/(-126))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (73\/3)\/((-5)\/(-15)). Let l = 162 + m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 20\/9, -7\/2, -2\/13, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1389 - (-6)\/2) + -2. Suppose 0 = -4*t + 2*l + o, 3*t + 8*l - 5*l = 1047. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8))\/((-2)\/20). Suppose g*i + 48 = -17. Let n = i - -22. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1034824236 to the nearest 1000000.\nAnswer: -1035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Suppose -5*j + 32 = 12. Solve 3*d + 3 = -i - a, 10 = -5*d - j*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.92532 nanograms to grams.\nAnswer: 0.00000000492532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s. Let v(r) = -427*r. Give z(v(k)).\nAnswer: -1281*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (17 - 0) - 18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 = c + 3*c, 2*c + 3*s = -20. Let h(r) = -r**3 - 3*r**2 - 2. Let m be h(c). Suppose 0 = k - 36 + m. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4\/2 + 10827*m**3\/2 + 1384842*m**2 + 1314504*m - 16553376 = 0.\nAnswer: -3332, -276, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 435\/(-10)*(-1)\/63. Let x = 4\/21 - i. Let o = 7.393 - 7.243. Which is the biggest value? (a) x (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -12*v - 9. Solve -4*c - 20 = 0, 0*c + 4*c + 32 = -v*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/27, 10, 4\/3 in decreasing order.\nAnswer: 10, 4\/3, 20\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57640587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 247*j + 3711. Let k(h) = -h**3 + 4*h**2 - h + 4. Let s be k(4). What is the lowest common multiple of (1 + s + -2)*-10 and c(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3905697*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 695?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**2 + 0*m + 1\/12*m**5 + 5\/4*m**4 + 0*m**3 + 6. Factor y(w).\nAnswer: 5*w*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41740 + -41761.047. Let n = h + 0.047. Let w = n + 25.5. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-2) + 1 + -1. Suppose -1125 = -i*a + 5*f, -5*a + f + 227 = -918. Suppose -2*x + a = -0*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:33 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1452*b*x - 6*b + 44 wrt x.\nAnswer: 1452*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8123 + 59*z**2 - 8123 to the form u + k*z**2 + o*z and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - 0.8. Let c = t - 0.1. Let v = c + 0.92. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -376 + n + 0*n**2 - 2*n**2 + 350 in the form i*n + r*n**2 + z and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 0) + 0 - 4) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1425320\nAnswer: -1425320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11111100001101011111010?\nAnswer: 11111100001101011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1461088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1503212243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1 + -1*6). Let n = h + 12. Suppose 0 = n*g - 10*g + 60. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -2. Let z be ((-12)\/9)\/(i\/9). Factor n**z - 5*n**4 + 0*n + n + 3*n**2.\nAnswer: -n*(n - 1)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2178 divided by 132\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, 4\/7, -5, -11.\nAnswer: -11, -5, 4\/7, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -38) + -12 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.7435l in millilitres?\nAnswer: 204743.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 a when four letters picked without replacement from qnqqnnaaqnaqn.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*i + 415 = 0, -23*a = -25*a + 5*i + 194. Calculate the lowest common multiple of a and 48.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -7, 0, -3 in descending order.\nAnswer: 178, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*k**4*u - 3*k**3*s + 5*k**3*u - k**3 + k**2*s*u - 2*k**2*s - 6*k*u + 418*s wrt k?\nAnswer: 456*k*u - 18*s + 30*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 93\/420. Let j = -1\/35 - q. Let i = -0.239 + 0.039. Is j smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*(-1)\/3)\/(4\/(-24)). Solve j = -k - 4*c + 2*c, -2*c = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (6\/10 + 13\/(-5)). Solve -d*s - 3 - 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 2*q + 0*q + (204 + 27 + 14)*(2 - 2 + 2*q) as i*q + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-19 + 7 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5928.999979105 + 5929. What is l rounded to 7 decimal places?\nAnswer: 0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24421926028888 - 2.1.\nAnswer: -24421926028890.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*c + 4150, 32*c - 5215 = 27*c - 3*y. What is the smallest common multiple of c and 260?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12537*b**2 - 2*b. Let c(k) = -5*k. What is q(c(y))?\nAnswer: 313425*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.099 and -0.93.\nAnswer: -1.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 (base 14) in base 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16293290 by -2015.\nAnswer: 8086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = 3*z. Put 3, z, 4 in descending order.\nAnswer: 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4\/((-32)\/68538))\/(153\/(-408))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxxaaxaaaxaaxax. Give prob of picking 4 x.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**2 - w - 5. Suppose -1 + 9 = -2*z. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -80*l - 72. Calculate m(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 2*z - 40, -2*z = 4. Let b = h - 5. Suppose f = 2*t - 1, -1 - 7 = -b*t - 4*f. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231074771 + 128.3.\nAnswer: -231074642.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23298041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) + 0 - 22718\/(-9). Suppose y - 5*y = -v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*l = 453*l + 262*l + 21053 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.5, -0.5, 2 in ascending order.\nAnswer: -3.5, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 26, 5, -4 in decreasing order.\nAnswer: 26, 5, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/(((z*z**(-1)*z)\/z)\/z))\/z))*z**5*z*z*z*z*z**(2\/3)*z**(-3\/2))**(35\/2) assuming z is positive.\nAnswer: z**(1925\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616662 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105\/(-168)*38 - 3\/(1 - -11). Which is the second smallest value? (a) 0.4 (b) w (c) -1.9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.5769 centuries in millennia?\nAnswer: 72.85769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 149209, 147081, 144953, 142825, 140697?\n\"Answer: -2128*i + 151337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 smaller than 2563218\/983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36918*z**3 - 40*z**2 + 7393303*z wrt z?\nAnswer: -221508*z - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/4 + 14*y**3\/3 - y**2 - 13*y - 10. Let g = 19 - 16. Calculate the remainder when c(-14) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132652949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -27620\/1063?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1327 + 1327 + 434*r)*(3 + r - 3).\nAnswer: 434*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 2, -2\/5, -2, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q)\/q**(-1\/2)*(q**(-2\/3))**(-15\/7) assuming q is positive.\nAnswer: q**(397\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1326985 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:11 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o - 74. Solve 0*d - 7*d = o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 869913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2358*(8 - 92\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*i**3 + 31*i**3 + 12 - 24*i**3 wrt i.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/(((m*m**(-4\/9))\/m)\/m))*m)))**(-2\/113) assuming m is positive.\nAnswer: m**(8\/1017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 780*l**2 + 7894*l - 200. Calculate q(-10).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 = -207*x - 2363 + 700 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 338655922 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -75*m + 5. Let i(v) = -v - 1. Let b(q) = -30*i(q) - 5*j(q). Suppose 10 = 5*k, -6*s - 3*k + 4 = -7*s. Is b(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*-1*sqrt(275) + 5)**2.\nAnswer: -140*sqrt(11) + 1149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1556.\nAnswer: -4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -95, -89, -85, -83, -83, -85, -89?\n\"Answer: -k**2 + 9*k - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 11:51 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - x = -9, -15 = 5*x - 10*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1545464320 and -0.06.\nAnswer: 1545464319.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0*o - o + (3 - 1 + 0)*(5*o - o - 5*o))*(-1 - 4 + 4)*(-4 + 4 - 1 + (-18 - 9 + 3)*(1 - 2 + 0)) to c*o + a and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2960 or 2938?\nAnswer: 2938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3 (c) -2 (d) -0.89 (e) 0.5 (f) -2\/319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7645 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.145 - 1.145. What is the nearest to b in 0.1, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2776\/9 - -308. Let g = -2945\/564 + -4\/141. Calculate the common denominator of a and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 36 = 4*h, -6*x + x + 5*h + 95 = 0. Let c = x - 22. What is the units digit of (-5)\/(10\/4) - c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -12)*(5*5\/25)\/(-3).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -3, -3\/43?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 5 + -1 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-5)\/15*(-476)\/(-112)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 233*n**2 + 2. Let s(p) = 5*p + 36. Let t be s(-7). Let k(y) = 4*y**2 + 3*y - 9. Let x(b) = b**2 + b - 3. Let w(a) = t*k(a) - 3*x(a). What is w(g(o))?\nAnswer: 54289*o**4 + 932*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3\/4 (c) -3\/2 (d) -3 (e) -295 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1983 = -156*p - 805 + 1942. Solve -p + 62 = 7*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-1 - 5) - -9 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/35)\/(p\/(p**(-14)\/p)) assuming p is positive.\nAnswer: p**(-562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -a + k, -2*k + 359 + 547 = -3*a. Let h be 44\/(-5) - (-6)\/(-30). Let v be (6900\/h)\/((-2)\/a). What is v rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 + 960*l - 36*l**2 + 220.\nAnswer: -36*l**2 + 960*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttvtvlxttuy. What is prob of sequence lxy?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let t = 10 + -14. Let a be 1 + (-7 - t - 0). Let d(y) = y**2 + y - 1. Let b(l) = -3*l + 3. Let k(j) = a*b(j) - 6*d(j). Determine k(g(v)).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 12*q**2 + 3*q - 8. List the prime factors of z(12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -209. Suppose -2*k + c = -3*p + 6*p, 5*k = 5*p - 15. Solve -p*l - 11 = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1726057*v**3 + 1726131*v**3 - 5177679*v**3 + 1726118*v**3.\nAnswer: 627*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*k*v*y + 71*k*v + 22*k*y - 2*v*y**3 - 49*v + 1396428*y**3 wrt v.\nAnswer: 14*k*y + 71*k - 2*y**3 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 16. Let o be r(-12). Let a = 11 - 16. Put o, -3\/2, a in decreasing order.\nAnswer: -3\/2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1596 and 56?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101442 (base 5) in base 13?\nAnswer: -16c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, 23, 0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419\/8 or -15\/1367?\nAnswer: -419\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/8 + 81*r**2\/4 + 396*r + 1680.\nAnswer: -3*(r - 70)*(r + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12*(-84)\/280?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + d + 150, -5*n + 50 = -3*d - 90. Let q = n + -15. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 512 + 20. Suppose -g = -4*s + 46. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 7)\/(4\/(-6)). Let p = -4 + 3. Find the common denominator of p - (46\/(-36) - x) and -25\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 11*c - 33. Let s(o) = 2*o + 1. Calculate 6*s(d) + v(d).\nAnswer: 2*d**2 + d - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4158414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88025 and 0.\nAnswer: -88025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:20 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 56496\nAnswer: -5649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.838 and -5.\nAnswer: -20.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/((-2)\/8*1264\/(-2844))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 13, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 629991 or 629993?\nAnswer: 629993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.146 + 1.546. What is the nearest to -4\/15 in 4\/3, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - (1312\/(-2) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020300 (base 5) to base 9\nAnswer: -48614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g - 50*g = 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*k**4 + 17785*k**3 + k**2 + 733791*k - 6 wrt k?\nAnswer: -360*k**2 + 106710*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40863, 81664, 122465, 163266, 204067, 244868?\n\"Answer: 40801*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 886.382km?\nAnswer: 886382000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249 or -1\/4?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -555 (c) -2.5 (d) 16 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17814.999984434 + 17815. Round s to seven decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/545 (b) 36 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 5*p + 6. Let r be y(-5). Suppose x + 4*x = -10. What is the units digit of (r\/3)\/x + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 148. Suppose 1 = -n - 8. Let j = b - n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 209*h**3\/2 + 760*h**2 - 16223*h\/2 + 7245 = 0. What is h?\nAnswer: -161\/4, -18, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 8, h: 7, b: 1, d: 1}. What is prob of sequence hhhe?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1, n + 3*n - 46641 = -p. Round n to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.246? (a) -0.01 (b) 1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12992779\/12217 - 1\/24434. Let w = q - -74231\/70. Let y = w - -13\/7. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*i**2 + 84*i - 13*i**2 + 73*i + 1 - 155*i + 1 - 42*i**3 to the form m*i + l + h*i**2 + q*i**3 and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Let h = -40.01 + 40. Let k = h + -0.29. Which is the second smallest value? (a) y (b) k (c) 0 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-2\/11)\/(s**(1\/2))**(-34) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c2 + -15?\nAnswer: 4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344 divided by 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -181, -13, -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -3. Suppose -15 = -a + 5*g, 2*a - 3*g - 7 = r. Suppose a = 2*d - d - 83. What is the remainder when d is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4192.479t?\nAnswer: 4192479000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etl when three letters picked without replacement from beetbtssbbbtbtbelt?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98667329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (2 - 0) + -10 + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 1. Let y be n(0). Let u be 1\/3*-1 + (-42)\/(-234). Which is the third biggest value? (a) u (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -20. Which is greater: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 42903180.\nAnswer: 557741340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99699 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -393295, -1, 3\/7?\nAnswer: -393295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*j - 7 + 0 + 0 + 7*j.\nAnswer: 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 135746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227751739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(-166)\/(-5). Is 18 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 27*t**2 - 52*t + 36. Let c be h(25). Let x = -71 + c. Let g = x + 86. Calculate the least common multiple of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 - -123. Let k = z - 45. Let q be k\/(-110) + 0 + -1. Which is the second biggest value? (a) 1 (b) q (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from qequ?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 55 - 51 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*m - 0*v + 51, 5*m + 2*v = 43. Suppose -5*r + 8 + m = 0. Suppose 2*y - r - 31 = 0. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1146 - 5?\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 11\/(-2))*(-26)\/13. Let d(x) = 6*x - 29. Let z be d(q). Solve -z = -5*u + 2*c, 2*u + 4*c - 1 = 3*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*i + 87*i = 60 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 - -4.4. Sort -5, 84, w, -0.4 in ascending order.\nAnswer: -5, -0.4, w, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(47*a + 29*a - 2*a)*(a**2 + 0*a**4 - 9*a**4 + 0*a**2).\nAnswer: 1998*a**5 - 222*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = 2*k + 3*y - 11, 1308 = 5*k + 3*y. Suppose -40*f + 10*f + 870 = 0. Calculate the greatest common factor of f and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 866521215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 107136?\nAnswer: 107132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363122087.\nAnswer: 3, 454374029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000966611 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1415, 2924, 4523, 6212, 7991, 9860, 11819?\nAnswer: 13868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 3) to base 4\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/(-36) - 129\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:38 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 6. Let v(g) = g - 7. Let z(n) = -4*m(n) + 5*v(n). Let c be z(-2). Solve 18 - c = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**3 + 53*w**2 - 35. Let y(l) = 5*l**3 + 18*l**2 - 12. Let c(u) = -4*b(u) + 11*y(u). What is c(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 + 7*y + 4. Let m(d) = 6*d**2 + 6*d + 5. Let k(s) = 4*m(s) - 5*q(s). Find the second derivative of k(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2889329 + -1649324. Suppose -m + 0*i + i = t, -2*m - 2480005 = -i. What is m rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2252474?\nAnswer: 1\/1126237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250769390?\nAnswer: 2, 5, 25076939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 - f + 1. Let i(a) = 4*a**3 + 4*a**2 + 4*a - 5. Give -i(t) - 5*v(t).\nAnswer: t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 527887361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970497599?\nAnswer: 3, 7, 93833219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3485 + -3484. Let s = 100\/7 - 14. What is the nearest to s in 6, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-6)*72\/(-54) + -3. Let j be (-24)\/(-20)*70\/21. Suppose r = -0*r - 5*w + 17, 14 = r + 4*w. Sort m, r, j, 5 in descending order.\nAnswer: 5, j, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 17, -766, -2315, -4888, -8743?\nAnswer: -14138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/30 and 97\/6090.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 726, 718?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/35))**(-1\/22) assuming x is positive.\nAnswer: x**(-3\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17175582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:42 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/7)\/(2\/6). Let w = 556362\/7 - 79479. Suppose -66\/7*i**3 - l*i**2 + 0 + 60\/7*i**5 + w*i**4 + 6\/7*i = 0. Calculate i.\nAnswer: -1, -2\/5, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -781 + 784. Suppose 0 = 3*l, -5*w - z*l - 4 = 6. Sort -7, w, -5, -1 in decreasing order.\nAnswer: -1, w, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 19*b**2 + b + 7. Let w be g(2). What is the highest common factor of w and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/(g\/g**3))\/g*g*g))**31)**0)**45 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-225 - -232)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = q - 0, -9*u + 7*q = 5*q - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120513122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261*g**3*j - 99*g**3 + 23*g**2 + 12923*j - 31 with respect to g.\nAnswer: 783*g**2*j - 297*g**2 + 46*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 35. Let d be (-36)\/(-27)*(-72)\/(-6). What is g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k**2 - 39*k - 12. Let y be b(5). Let s(t) = -t**3 - 4*t**2 - 4*t - 5. Calculate the remainder when s(-4) is divided by (y\/8)\/(5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2 + 20*n + 20. Let z(f) = f**2 - f - 1. Determine m(d) + 20*z(d).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13905460511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*z = 82, 2*h + z - 5 - 30 = 0. Calculate the remainder when 48 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w**2 + 35*w**2 - 73*w**2 + 4*w**3 - 14*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/5 - 861*h**3\/5 - 1713*h**2\/5 - 171*h.\nAnswer: -3*h*(h + 1)**2*(h + 285)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3 - 192 + 3*u)*(-3 + 3 + 1)*(7*u - 5 + 4 - 1) to n*u + b*u**2 + y and give n.\nAnswer: -1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00268 - 10.99732. Sort -3, 70, -5, h in decreasing order.\nAnswer: 70, -3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 7*y - 13. Let i be l(9). Suppose 4*t + 0*s + i*s = -40025, t + 10025 = -5*s. Round t to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*q - 1357, 2*p + 24*q - 547 = 27*q. Calculate the remainder when p is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6787709909\/195 - -104384423\/3. Let q = 13961 + c. Let b = 3\/13 + q. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48867413753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 108. What is the remainder when 212 is divided by d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*j**2 + 684*j**2 + 685*j**2 - 2745*j**2 + 691*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32050 - 236?\nAnswer: -32316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/13, 153272 in decreasing order.\nAnswer: 153272, -1\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949165.1 nanometers to centimeters.\nAnswer: 0.09491651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10a - -11c075?\nAnswer: 11bd69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -60230164?\nAnswer: 60230134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (115\/15 - 1)*36. Let p = -135 + c. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12200 (base 3) in base 14?\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - (-29)\/(5220\/51800). Solve -276*j - 48 = -l*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.562903 centimeters to meters.\nAnswer: 0.01562903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -371 - -357.89. Let o = p + 12.2. Let d = -0.73 - o. Is 2\/7 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/5 + -73\/35. Let l = t + 36\/77. Let i = 432\/7 - 62. Sort i, -0.3, l in decreasing order.\nAnswer: l, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 488.2 + -488.5. Which is the second smallest value? (a) k (b) -1 (c) -6 (d) -2\/7 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 106?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkpq. What is prob of picking 1 p and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 382*d\/3 - 760\/3.\nAnswer: -(d + 2)*(d + 380)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11107*t = -10988*t + 4284 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.555218 micrograms?\nAnswer: 0.000000000000555218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.5 (b) 11 (c) -2 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 + 194*d**2 - 2520*d - 2615. Calculate t(46).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + 1.50013. Round g to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 5\/3 (c) 0.038 (d) 0 (e) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2712 (base 11) in base 9?\nAnswer: -4743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3899523 + -15130.6228477. Let w = q - -15112. Let a = w - -19. Round a to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420372?\nAnswer: 2, 3, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 2*r + 2*r - 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*4.89.\nAnswer: -97.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1207\/6 - 201. Which is the nearest to -6? (a) v (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let c = 41149\/16 - 2573. Find the common denominator of 2 - (n - 142\/28) and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225931 or 225928?\nAnswer: 225928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 135016971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -21*d**5 - 246*d**4 - 684*d**3 + 216*d**2 = 0.\nAnswer: -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.000267 * -567\nAnswer: 0.151389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(18)\/sqrt(6) + 5 + sqrt(3) + (5 + 2*sqrt(147))**2.\nAnswer: 142*sqrt(3) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12832607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*k**5 - 982*k**4 + 111*k**2 - 1153*k + 15230?\nAnswer: 540*k**3 - 11784*k**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + q**2 - q**3 + 3*q - 453 - 41 - 5*q - 23 to m*q + j + w*q**2 + o*q**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3698135114?\nAnswer: 2, 1849067557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 4, x: 1}. Give prob of picking 2 t and 1 x.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -26, 60, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (-10 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -615 - -373. Let z = b + 480. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1\/p*p*p*p**(5\/6)\/p assuming p is positive.\nAnswer: p**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(2\/(-1)) + -4. Let k be 2 - ((-24)\/f)\/(1\/6). Suppose -o - 4*j - k + 5 = 0, -4*o + j = 1. Put 0, -4, 3, o in descending order.\nAnswer: 3, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = 4*i - 58, 0 = -4*i + 3*u + 63. Let x(a) = 0*a**2 + 5 + 8*a**3 - i*a + a**2 - 2*a**2 - 7*a**2. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 2. Let p be r(-2). Let f be (-1)\/(-3) - p\/6. Solve f = -z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 711521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 136*k + 139. Determine r(0).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134689212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12*d + 16*d = 1, 3*d = -5*b + 22. Suppose 3*w - 4*l = w + 252, b*l = -w + 119. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 8*w + 49. Let k(z) = -z**2 + 9*z + 50. Calculate 7*h(u) - 6*k(u).\nAnswer: -u**2 + 2*u + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**9*g)\/((g\/(g\/(g*g**5)*g*g))\/g))**(5\/2) assuming g is positive.\nAnswer: g**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 - 428*y\/7.\nAnswer: y*(y - 428)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrbnrrpbbnub. What is prob of sequence npyu?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)\/(d\/(((d\/(d\/((d**(-2\/15)\/d)\/d)))\/d)\/d)))\/(d**(-8)*d**5) assuming d is positive.\nAnswer: d**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000101 (base 2) to base 9\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36519 and 1269.\nAnswer: 328671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-28))\/((36\/(-9))\/(-48))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-8)\/28*-7. Let f be m + 2 + 11\/(-4). Is 0 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/8*(-4)\/3. Suppose p*q - 25 = -7. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 115*m**2 + 229*m + 386. Calculate the remainder when 1549 is divided by c(-113).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*55\/2*(-22)\/(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 2)*3\/9*4. Let t = z + 0. Suppose -4*m = -7*m + 12. Solve 2*h = -4*q - 6, -m*q + t = -7*q - 2*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32953 + -18305. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37729 is divided by 539.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**3 - 89*r**2 + 87*r - 1255. Determine i(8).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 1\/(-1 - -2). Let u(y) = -y**2 - 3*y + 16. Let q be u(-5). Suppose 2*c + q = 0, 8*o + 5 = n*o - 5*c. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10081 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**11*k*k))**(3\/4) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (sqrt(68) + -2 + -2 - sqrt(68)*-2*6))**2.\nAnswer: 156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-12)\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 9*r - 344. Suppose -r = -26*f + 200. Solve f*n = 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 120213?\nAnswer: -120214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and 1\/(-3)*201\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m\/m**(-2\/5))**(-1\/37)*((m**(1\/3)\/m)\/m*m**(-1)*m)\/(m**1\/m)**(-2\/67) assuming m is positive.\nAnswer: m**(-10436\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22452315 (base 7) to base 13.\nAnswer: -539328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 1. Let t be r(3). Sort 2, -2, t.\nAnswer: t, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**3\/3 + 33*s**2\/2 + 70*s + 212. Suppose k(l) = 0. What is l?\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83027 is divided by 81746?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 63, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152840483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 - (-71496)\/9 - (-1 + 4).\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -3*p. Suppose -p*b + 73 = -22. Let t = -17 + b. Calculate the smallest common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 466100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*c + 2449 + 5621, 6474 = 4*u + 2*c. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -3.2. Let g = 0.07 + -3.07. Let n = u + g. What is the nearest to 2\/7 in n, 1, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(96)*1).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k + 24 = 0. Let t be 18\/k - (-2 + 2). Is t greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 - -416. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 5. Let y be (c\/(-27))\/((-2)\/(-6)). Let v be (y - -2)*(4 - 5). Let p(z) = z**3 + z**2 - z - 5. What is p(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3*v**(-1\/5)*v)**(1\/58))**7 assuming v is positive.\nAnswer: v**(133\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*s = 129, -2*c + 5*c + 4*s = 84. Suppose -c = -2*a - 0*a. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 36. Suppose w - 10 = -5*r + 10, 4*w = 2*r + 124. Calculate the greatest common factor of w and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -854.4 - -854. Which is the closest to -34? (a) 1\/5 (b) 0.3 (c) 2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 0*t - t**2 - 3*t + 9*t as w*t**2 + g*t + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.2 (b) 0.5 (c) 3\/2 (d) -43 (e) -4 (f) 9 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/18 - (3 + (-38)\/12). What is the third smallest value in t, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(y**2 - y**2 - 2*y**2) + (-1 - y + 1)*(2*y + 2 - 2) - 2*y**2 - 4*y**2 + 4*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -10*f - 69. Put -2, 0.04, -14, f in decreasing order.\nAnswer: f, 0.04, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 6*w**2 - 196*w + 800. Calculate d(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 - 84*s**2 + 13*s - 6?\nAnswer: -12*s - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 94765865 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14833, -29655, -44381, -58963, -73353, -87503, -101365?\nAnswer: -114891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(44) + 0)**2 + (sqrt(44)\/(sqrt(4)*1) - sqrt(11))).\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 379*x + 28. Let b(y) = -y**3 - 6*y**2 + 9*y + 17. Let q be -11 + 0 - (-5)\/((-15)\/(-12)). Let g be b(q). Is u(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 4 - (sqrt(28)\/sqrt(4) + sqrt(7) + 2))*3 + 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (15\/(-6)*2)\/(82\/(-8856)) and 36.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-6)\/g*g*g)*g**(-2)\/g)**47\/((g*g\/g**(2\/3)*g)\/g*g\/g**(-1\/2)*g**(1\/4)*g*g**(-2\/7)) assuming g is positive.\nAnswer: g**(11525\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7570*r = -3*j + 7573*r + 81, j = 2*r + 24 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 5*l**3\/6 - 9*l**2\/2 + 3*l. Calculate the remainder when p(14) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360056260 rounded to the nearest 100000?\nAnswer: 360100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*n - 7*n - 7*n)*(2*n + 2*n - 2*n).\nAnswer: -58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-93)\/15 + 4\/20. Let l = 2 - z. Suppose -3*j = -j - 4*m - 30, -4*j - 5*m = -l. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 27*u - 18 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (3 - (-4 + (20 - 19))) - -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c = 36*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3) + 633\/9?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:23 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s)**(-6)*(s**(-1\/8))**(-12\/5) assuming s is positive.\nAnswer: s**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -43*k**5\/20 + 15*k**2\/2 - 50*k. What is the first derivative of t(g) wrt g?\nAnswer: -129*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -4 - ((-261)\/(-812))\/((-1)\/6)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -49, -88, -127, -166, -205?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2922*f**2 - 97*f + 97. Calculate the lowest common multiple of b(1) and 8.\nAnswer: 11688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14*a + 111. Let m be x(7). Let d(p) = -211*p - 1 - 1 - m*p + 416*p. Calculate d(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203 + 870. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 6*t - 253. Let v = t - -398. List the prime factors of v.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 5*r + 39 = -10*s - 0*s, 46 = 15*s - 2*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 22.98. Let q = -0.02 + n. What is the nearest to 2\/3 in q, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from bhgbsbbhshhhsqsbhhzs.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/106 (b) -96 (c) -1\/2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2*u - 2*u)*(-1 + 0 + 2 + 1 - 3 + 1 + (-3 + 6 + 0)*(-2 + 2 - 2)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*w - 3 = 3*w, 0 = 2*n - w - 1. Suppose 0 = 6*k - k + 5*b - 155, 3*k + 4*b - 98 = n. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 - 135 - (0 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, j: 3, r: 6}. What is prob of sequence rj?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:45 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 60. What is the first derivative of 5 + 81*a**t - 23 + 4 + 4 wrt a?\nAnswer: 162*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-6)*4*(-36)\/96.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 106, -55, -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 75. Solve -w*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 8 - 10)*(-1 + 0 - 2)*(2*z**2 - z**4 - 2*z**2).\nAnswer: 84*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3\/2 - 25340*r**2 + 2409600*r = 0?\nAnswer: 0, 96, 10040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.14 (b) 4 (c) -1 (d) 2\/7 (e) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 515 - 340. Calculate the common denominator of (-3)\/15 - (-610)\/f and -14\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 22*n - 40.\nAnswer: -(n + 2)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56707123.\nAnswer: 11, 5155193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -15, 21 in increasing order.\nAnswer: -126, -15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*w + 25 + 5 = 0, 4*z + w - 27 = 0. Suppose 8*y - 4 = z*y. Solve -8 = 2*t + y*l, -t + 5 + 5 = -5*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5625449718?\nAnswer: 2, 3, 7, 1303, 102793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 - -4. Let q = -1\/41 + -38\/123. What is the second smallest value in q, m, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 10*s**2 + 3*s - 10. Let y be o(-9). Suppose -45*r + 7900 = -y*r. What is r rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z + 2*c + 13, -3*c - 6 = 0. What is the units digit of (z\/(-7))\/(4089\/(-511) + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 1. Let t be p(3). Let h be 53\/1 - (-5 + 1). Suppose 5*k = t*k + h. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 27 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*o + 7. Let z(f) = f**2 - 4*f - 1. Let x be z(o). Suppose x*h - 3 = h + 3*y, -2*h + 12 = 3*y. Let l(s) = -5*s + 4. Calculate l(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 9*h**2 + 4*h - 26. Calculate c(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -93?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Which is the nearest to o? (a) -1 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23234 - 2183?\nAnswer: -25417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9406 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2\/5*f**4 + 2\/25*f**5 + 0*f**2 + 8\/15*f**3 + 2 + 0*f. Factor v(j).\nAnswer: 2*j**2*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + 0.1. Let t = q + -0.2. Let a = -1.9 - t. Which is bigger: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64045*g + 64026*g - 46 - 128044*g + 42.\nAnswer: 27*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.54 take away 1125.936119?\nAnswer: -1128.476119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10617895?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/44 - (3 + (-45603)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7443277.\nAnswer: 7443277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37398936?\nAnswer: 2, 3, 1558289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5132.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108728 and 81546?\nAnswer: 326184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/26 (b) 0.1 (c) 2\/17 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 + 5*a - 29. Let d(b) = -5*b**2 - 2*b + 15. Let m(w) = 11*d(w) + 6*y(w). Let o be m(6). Solve -o*z + z - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 32944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -25. Let o be (-2)\/5 + (-44)\/h. Suppose -o*d - d + 25 = 0. Solve -3*p = d*y - 20, 3*y = 5*p + 2*y - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a factor of 1366833426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - n + 5 = 0, -1 = -4*c - 3*n. Suppose -6037 = -j - 6154. Let i be c*(-3)\/(-39) + (-5634)\/j. Calculate the highest common divisor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 4:09 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 12. Let b(m) = m + 1. Let t(p) = 18*p + 20. Let l(f) = -44*b(f) + 4*t(f). Let h(v) = 7*j(v) + 2*l(v). Find the first derivative of h(y) wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141404244 + 203?\nAnswer: 141410002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120002 - 10?\nAnswer: 2112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, -0.3 in ascending order.\nAnswer: -18, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3 + 8615*i**2 + 8620*i = 0. Calculate i.\nAnswer: -1, 0, 1724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 754*z - 31240.\nAnswer: -(z + 44)*(z + 710)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5430\/7 - -777. Determine x so that -15\/7*x - 6\/7*x**2 - i = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Suppose x*f + 2 = 5*c, f + 2*f = -c + 31. Suppose -4*b = j + f, 4*j + j - b + 3 = 0. Do 2\/11 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2 (c) -1\/8 (d) -204704\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjffsjjjfjjjjj. What is prob of sequence fj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:24 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30298092 rounded to the nearest ten thousand?\nAnswer: 30300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/3 + 5*h**4 + 16*h**3\/3 = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/588 and -97\/16.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -19*r**3 + 7*r + 7. Let v(g) = -6*g**3 + 2*g + 2. Suppose -2*s - x = -0*x - 9, -5*s = -4*x - 55. Calculate s*v(i) - 2*m(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (327 + 30\/(-6))\/1. Suppose -96 - k = -22*q. Solve q*l - 22*l + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -39, -132, -315, -618, -1071, -1704, -2547?\n\"Answer: -5*u**3 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -148*x**2 - 176*x**2 + 2 - 130*x**2 + 5*x + 74*x**2 - 163*x**2. Let h be q(3). Round h to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1050, 1040, 1018, 978, 914, 820, 690, 518?\n\"Answer: -m**3 - 3*m + 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 9\/5, 5, 1, -1\/2, 2\/29, 2325?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) - ((sqrt(119)*2 + sqrt(119) - sqrt(119)) + sqrt(119))))*-3)\/sqrt(7).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -5740?\nAnswer: 573a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-21)\/(-6) + -2). Let h be -1 + (-104)\/(-60) - z\/5. Which is the nearest to -1? (a) 5\/6 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1656*h + 116174 + 29554 for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 45100\nAnswer: -45105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 424*c + 12 + 426*c as k + x*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadjjjdzdzddjdda. What is prob of sequence dzdd?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81191198 divided by -3690509.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -29.8?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g - 46. Let b be l(5). Let u be (16\/6)\/((-32)\/b - 5). Suppose 3*z + 2*q + 758 = u*z, -q = -2*z + 303. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/(-8840))\/((-3)\/5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-4)\/44*31. Let k = 6 + -36. Let p = k + 27. What is the smallest value in 29, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -3\/28 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2. Suppose -193*x + 175*x = -36. Let j(n) be the second derivative of -1\/2*n**3 + 0*n**x + 0 - 6*n. What is p(j(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62017311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05043 + 762.65043. Let r = -760.5955 + a. Let j = -2 + r. What is j rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let i(m) = 6*m**2 - 14*m - 10. Let a(n) = i(n) - 3*z(n). Let g(q) = -7*q**2 + 12*q + 11. Let f(o) = 6*a(o) + 5*g(o). Give f(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, 1\/2, 1, 0.3, 50, -69 in ascending order.\nAnswer: -69, -1\/3, 0.3, 1\/2, 1, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 684 (b) 1\/11 (c) -0.4 (d) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 2*p + 4. Let r be d(3). Let o = r + 14. What is the third derivative of -4*i**2 + 7*i**2 - 8*i**o + 5*i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 553?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021021 + 1242?\nAnswer: 1022313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5040 - -4866.69. Let r = -174 - y. Round r to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -29. Let c(u) = 4*u + 11. Let x be c(o). Let s = 37 + x. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -1)*-3 - 0\/2. Suppose 5*c = -r - r + 270, -y*c + 143 = 5*r. Let a = -64 + c. Let f(o) = -o**2 - 7*o + 9. Determine f(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 589*z + 5. Let n be t(2). Let v = -753 + n. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024327935444 to six dps.\nAnswer: -0.002433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*c - 139 = 0, -4*m = 2*c + 120 - 10. Let v be 1\/(1\/(-2)*m). Suppose 2*y = -2*d - 2 + 4, 5*d = 3*y + 5. Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**3 - 17*b**2 + 374*b - 373. Determine f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i. Let l(o) = 1341*o + 32. Determine g(l(w)).\nAnswer: -4023*w - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 327949332 - -0.5\nAnswer: 327949332.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4131400130 (base 5) in base 13?\nAnswer: -19a5390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 2*s**2 - 1. Suppose -25 = -5*p, 0 = 2*i - i - 2*p + 12. Let w be o(i). What is the units digit of w\/((-3)\/6) + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3728450?\nAnswer: 2, 5, 11, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n**4\/n*n)*n)\/n)\/(n*n\/n**3)*n**(-2\/19)*(n\/((n*n**(-2\/9))\/n*n))\/n)\/(n**(-6\/11)*n*n*n**(-7))**(-17\/5) assuming n is positive.\nAnswer: n**(-204442\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t\/(t*t*t*t**(1\/6)\/t))**19\/(t**(-2\/13)\/((t*t**5)\/t))**(-6\/11) assuming t is positive.\nAnswer: t**(60079\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -21, -46, -89, -156, -253, -386, -561?\n\"Answer: -n**3 - 6*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 15 - 5*u - 21 + 6.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose 2*p + 2*p + 4 = 0. Let z = 1320 - 1320. What is the nearest to -0.2 in m, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a + 49*a - 12 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 + 5706*f**2 + 34290*f + 51462 = 0?\nAnswer: -3, 2859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) -0.07 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -31*q**4\/24 - q**2. Let n(z) be the first derivative of -z**2\/2 + 99329. Calculate n(k(v)).\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:40 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.56 + 27.6. What is the second biggest value in 4, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/((10 + -32)\/(-11)). Let c(h) be the second derivative of -1\/6*h**3 - h + f + 3\/2*h**2. What is the first derivative of c(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 11:50 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 175*g - 175*g + 10. Determine f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650819331 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(2\/7))\/c)**21)**1 assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 111111110110000011?\nAnswer: 111111110110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 9*q**2 + 18*q**2 - 2*q**2 - 3*q**2 - 23*q**3 + 10*q to the form m*q**3 + o*q + y + f*q**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 40*j**3 + 45*j**2 - 5*j + 15. Let w(x) = 18 - 2*x**2 + x**3 - 17 + 3*x**2. Let z(q) = o(q) - 25*w(q). Factor z(m).\nAnswer: 5*(m + 1)**2*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1426095585 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-14))\/(12\/(-21))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2324904030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513191214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -60*b**3 + 5*b**2. Let u(j) = -30*j**3 + 3*j**2. What is -3*l(v) + 5*u(v)?\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*t**2 + 2*t - 9 + 6 + 0*t - 62*t**2 + 4 to the form j*t**2 + q + s*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:43 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**3 + 3*l**2 + 6*l + 5. Let z(w) = -7*w**3 + 3*w**2 + 7*w + 6. Give 6*k(x) - 5*z(x).\nAnswer: -x**3 + 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1680398, 6721549, 15123456, 26886119, 42009538, 60493713?\n\"Answer: 1680378*x**2 + 17*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6779745 and 3285?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 459 + -468 + (-26 - -3)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:23 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*((-621)\/(-126))\/23?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 + -24)\/7)\/(6\/16). Let u(k) = k**2 - 19. List the prime factors of u(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31402 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 6*u + 27\/2.\nAnswer: (u - 9)*(u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.2, -3, -0.19, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 3\/2*s**2 - 2*s + 2 - 1\/3*s**3. Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 35*l + 40*l + 21 = 0, -f - 2*l = -28. Solve 1 = 4*c + 3*n + f, -2*c + 2*n - 2 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*c = -35*c + 12*c + 2360 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 5*b**3 - 21*b**3 - 4*b**3.\nAnswer: -37*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 357\/4027?\nAnswer: 357\/4027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**3\/6 + 19*w**2\/2 - 8*w. Let c be m(16). Solve 3*v - c*u = -v + 13, 0 = -4*u - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-184)\/(-24))*(-105)\/(-1400).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*u + 72 = 843 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let p(t) = -5*t - 1. Suppose -5*s + 11 = 1. Let n(i) = s*p(i) + 11*w(i). Let r be n(2). Solve r = 5*f - 3*f + 4, -5 = -5*m - 5*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483646?\nAnswer: 2, 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**7\/210 - z**6\/40 + z**5\/30 - 29*z**2\/2 + 18*z. Let i(b) be the first derivative of g(b). Suppose i(p) = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/((-2592)\/34992)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*5\/((-20)\/(-11))*(-102)\/187?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 11*i**2 + 9*i - 7. Let k be v(-10). Suppose k*f - 21 = -0*f. Let w = 6 - f. Sort 0, -5, w in descending order.\nAnswer: 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 135626?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/2 - -31\/4. Let k = -81 - -81. Suppose 0 = -4*m - 4*g - 124, -3*m - g = -k*g + 83. Which is greater: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13\/5)\/q)**(1\/39)\/((q*q**39*q*q)\/q**(4\/7)) assuming q is positive.\nAnswer: q**(-18892\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 - -446. Suppose 4*w - 2*o - r = -7*o, 0 = 4*w - 4*o - 628. What is the greatest common divisor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-143)\/(-55) + 3\/(-5). Is o\/(-5) + 3674\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114263, -114541, -114819, -115097, -115375?\n\"Answer: -278*x - 113985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjymjjjmyjm. Give prob of picking 1 m and 1 y.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(136 - -74). Let m be 2\/(-7) - (6 - 810\/l). What is the closest to 6 in 0.1, -1, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 50*r**4\/3 - 4*r - 19. Let h(a) = 2*a**2. Calculate h(q(b)).\nAnswer: 80000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63862 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14846 a factor of 1473005274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12331244?\nAnswer: 2, 761, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.88 - 0.08. Let y = 4.1 - z. Let k = y + -1.6. Which is the third smallest value? (a) k (b) 0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464\/348*6\/(-124)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7781124788488\/8561 - 908903727. Let i = -2\/1223 - a. Let r = -6423\/8 + 806. Find the common denominator of i and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a microgram in nanograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 18. Let u = i - -9.5. Let g be ((-1445)\/(-34))\/(-5) - -9. Which is the closest to g? (a) -1\/4 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -10. Let k(u) be the first derivative of u**4\/4 + u**3 - 3*u**2 - 4*u - 30. Calculate the smallest common multiple of 22 and k(x).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9352397*a + 28902038 wrt a?\nAnswer: -9352397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - -2*(sqrt(108) - (sqrt(108) + 1))**2) + (sqrt(108)*3)**2*6.\nAnswer: 6*sqrt(3) + 5834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -193a47 - 5?\nAnswer: -193a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5 + (-5811)\/2235 + (0 - -3)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*1 - sqrt(567)) + 5 - (sqrt(567) + sqrt(567)*2)*6)**2 + 3 - (5 + (sqrt(175) + 0 + -1 - sqrt(175))*5)**2.\nAnswer: -1620*sqrt(7) + 183736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*o = 35, -4*l = -4*o - 45 - 7. Suppose 3*t = 6*t - l. Suppose 0 = -2*x - 3*h + 12 + 14, -10 = t*h. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 67*l - 67*l - 6*l**3 + 5*l**3 in the form i*l**3 + k + x*l**2 + p*l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153595 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*q**3 - 53*q - 24*q + 28*q**3 wrt q.\nAnswer: 342*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22146598 or 4?\nAnswer: -22146598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*d**2*r - 12602*d*r**3 - 1037166*r**3 wrt d?\nAnswer: 70*d*r - 12602*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7447 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isbitkbibss. What is prob of sequence kst?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 3*c + 7. Let m be n(3). Suppose m*x = -0*x + 441. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Let p(o) = -176 + 176 + o. Let j(m) = -2. Determine a*p(s) + j(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591590894?\nAnswer: 2, 29, 241, 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p**2 + 35*p + 129. What is the hundreds digit of v(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2635*g**2*k - 868*g*k wrt g.\nAnswer: -5270*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 4, e: 3, w: 3, g: 2}. What is prob of picking 4 f?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -13136, -22, 3 in ascending order.\nAnswer: -13136, -162, -22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1920610, -1920607, -1920604?\n\"Answer: 3*z - 1920613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 - 269*o**2 + 100*o + 856. Calculate u(-90).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 170*g + 10. Let w be s(13). Suppose -2*l = l - w. Suppose l = z - 5*m, 2*z - 726 = z - 2*m. Round z to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44293302.00000025 - -44293314. Let z = 12 - t. Round z to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66844 * -0.1.\nAnswer: -6684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 8. Let o = d + 0. Suppose -2*l - 3 = h, -5*h = o*l + 8 + 1. Let n(p) = -5*p - 1. Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 41*z + 672. What is the tens digit of b(-49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + r - 2. Let b be s(-2). Let k(j) = -j**3 + 11*j**2 + 14*j - 5. What is the units digit of k(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1669 + 1571 = 0. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39807, 159066, 357773, 635922, 993507, 1430522, 1946961?\nAnswer: 2542818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h. Let w(l) = -2*l. Let s(m) = 2*v(m) + 6*w(m). Let i be s(3). Let o = i - 1. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/77818 and 37\/494429.\nAnswer: 40543178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (108\/(-5))\/((-10)\/75). Let m be (4\/1 - 1) + z. Suppose 3*x = -0*x + m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 299\/35 in 0.11084, -3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -69. Suppose n*r = -2*g + 14, -3*g - 2*r = 2*g - 26. Let d(y) = 4*y**2 + 3*y + 2. What is the least common multiple of d(-2) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210a1c (base 13) to base 2.\nAnswer: 10111100101011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l**2. Let r be ((-4)\/8*177)\/((-5)\/100). Let b(d) = -r + 1770 + 4*d. Calculate n(b(x)).\nAnswer: 224*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -133646904 divided by 22274484?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)\/(a*a*(a*a**(-1\/2))\/a*a*a))\/(a**(-2\/9)\/a**(-4)) assuming a is positive.\nAnswer: a**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-2 - -1)\/(-3). Let v(b) = b**2 + 3 - 6*b + z + 2 + 5. Is 13 a factor of v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 - -118. Which is smaller: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -81. Suppose f*r - 52 = 2. Let y(g) = g**3 - 10*g**2 + 12*g + 3. Let h be y(r). Solve 5*o + 5 = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 3. Let d = p - -9. Suppose -2*z = t - 16, -4*z + 0*t = d*t - 34. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*2 + sqrt(12))*-6)\/sqrt(6) + (sqrt(72)\/sqrt(6) + sqrt(12))\/sqrt(6)*-1.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3431978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 0, -23*p + 9*p + 10*p - 750 = -150*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.55 - 30.51957. Let c = q - 0.0279. Round c to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 90683564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/40 - z**5\/30 + z**4\/12 - z**3\/6 - 6*z**2. What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-186)\/31*(-1)\/2. Solve -4 = -r + 2*r, o*z + 24 = -3*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -153.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/39 - -1063\/390. Calculate the common denominator of -107\/6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 72. Let p be (-16)\/(-6) + g\/(-42). Let f be (p\/4)\/((-1)\/(-12)). Let d(u) = -u - 2. Determine d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -550 + -10?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.046 - -0.04599955. Round r to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 336*m + 12336. Give c(-42).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8257793\/6212 + -123\/1553. Let i = 1322 - o. Find the common denominator of i and 103\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (18\/2 - 1341\/596) - (-227)\/68?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 4*z**3 - 2*z**3 + 11 + (2*z**2 + 1 - 1)*(-z + 1 - 1).\nAnswer: -8*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/250460 and 25\/10734?\nAnswer: 751380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*d**2 - 330*d**2 - 37*d**2)*(-4*d + 4*d + d**2)*(0*d + 4*d - 3*d) - 4*d**5 - 7*d**5 + 0*d**5.\nAnswer: -324*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 62.6. Let k = 9 + l. Let z = 20 + -19. Sort 1\/3, z, k in decreasing order.\nAnswer: z, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/6*-5)\/(235\/188). Let w(s) be the first derivative of -3 - 1\/2*s**4 + s**2 - d*s**3 + 2\/5*s**5 + 0*s. Suppose w(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9733.0186\nAnswer: -9734.0186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2910\/60)\/((-3)\/(-186))?\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(218\/327)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 15*l**2 + 5*l - 3. Let p be w(3). Let i = p - 2203\/15. Let b be 0*((-10)\/4 + 2). What is the nearest to -1 in i, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let l = 1.8825 - 1.7825. Let s = -0.05 + 3.05. Which is the nearest to n? (a) l (b) s (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 767 and 416?\nAnswer: 24544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 6*w)*(8 + 0 - 5) - 2 + 2 + 2*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201453.\nAnswer: 3, 7, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 3*a**4\/2 + a**3\/3 + 5*a**2\/2 - 5*a + 12. What is the tens digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 13161.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-35))\/(1205\/(-140) + 1\/20*-5).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide -1 - 9\/(-27) - (-263661)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 17*v**2 - 26*v + 57. Let h = 5322 - 5337. What is r(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*h - 0*r + 133, r = -h - 21. Let l = 22 + h. Suppose 0*k = -3*k + 15. Put l, -0.5, k in ascending order.\nAnswer: l, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - v + 0*v + 17*v - 2*v - 7*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*a + 52, -186*a + 181*a + 350 = 5*n. What is the highest common factor of 44635 and n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:50 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 33*n**2 + 22*n - 110*n + 104 - 139*n + 63*n**2. Differentiate p(t) with respect to t.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54616012141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164261 + -4?\nAnswer: -164265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*m + 16 = 2*q, -2*q + 3*m = -21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 - 0 - (0 + -2) - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*p + p - 14860 = 0, 0 = -a + p + 7424. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -913885.\nAnswer: -6\/913885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 16*j + 9*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 24*r + 4. Let n be t(0). Let c(h) = -h**3 + 20*h**2 + 22*h - 11. Let f be c(21). Solve -n*d + 7 = -k, -d + f = -k + 4*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5. Suppose x = 2*k - 6 - 6. Solve 2*q = -5*c - 1, 3*c - 3 = 2*q + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -599, 1 in descending order.\nAnswer: 1, -1, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 6. Let v be b(-3). Suppose 2*m - 10 = -z + 4*z, z - v*m = -8. Let d = 3 + z. Which is smaller: d or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217871.37ms in minutes?\nAnswer: 3.6311895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - (1 - -4))) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -2*h**2 - 4*h - 1. Let d = 16 + -19. What is z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = -48*r - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 85*h - 73*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let n(c) be the second derivative of 0 + 4*c + 1\/12*c**4 + 21\/20*c**5 - 1\/6*c**3 + 1\/2*c**2. What is the units digit of n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 - 1092?\nAnswer: -105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 11:16 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -w - 3*c + 6, 2*w - 11 = -c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -5.\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 45 = 3. Let w(r) = -4*r**2 - 32*r - 2. Let l be w(q). Suppose 4*k - 20 = -k. Put -3, k, l in ascending order.\nAnswer: -3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 0. Let x = -29 + 49. Let v = -4 + x. What is the remainder when n is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*-6*(2*sqrt(30) + sqrt(30)))\/(2*sqrt(6)*-1 + sqrt(6) - 2*sqrt(24)))**2.\nAnswer: 288*sqrt(5)\/5 + 1376\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848449591?\nAnswer: 11, 97, 101, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 22748.\nAnswer: 22747.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2226 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 2*o**2 - 2*o + 12. Let s be k(3). Let g(l) = l - 14. Let p be g(s). Suppose 23 + p = 4*q. Calculate the least common multiple of q and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2742 = -632*x - 11794 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 71*i = 28 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -44\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6 - 0) + 586379\/96408 and 109\/336?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 385 and 721479?\nAnswer: 25251765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39654 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(34)\/sqrt(2)) - (1 + sqrt(1088) + 4).\nAnswer: -3*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 46. Let g = 58 + b. Suppose -x - 152 = -5*m - g, -m = 2*x - 15. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 67*g - 482. Give w(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2441942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236288)\/(-333984) - (-2 - 16\/(-6))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = -5*u, 3*j + 2*u = 3*u + 9. What is the third derivative of 15*b**j - 3*b**2 - 3*b**6 - 20*b**6 wrt b?\nAnswer: -2760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06972744 from -10875.\nAnswer: -10875.06972744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 441.185 + -0.885. Let x = -440 + p. Suppose 0 = q - 4*q + 5*o - 2, -5*q = 3*o + 60. Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = l - 5*a, -3*a = 53*l - 55*l + 632. What is the lowest common multiple of 11 and l?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/((sqrt(175)\/sqrt(5))\/sqrt(5)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -299.466 + 299.5. Let i = 11.934 + -11.6. Let l = i - g. Which is the closest to 3? (a) 11 (b) 2\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1804656*z - 37897794. Determine g(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.96. Let r = -9.96 - -11. Let h = a + r. Which is greater: 0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13306000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 4*b - 3*w, 5*b - w + 153 = w. Let m = -29 - -67. Let p = m + b. Calculate the greatest common factor of 77 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01006 + 4.01006. Let q = -2 - -9. Let n = q + -13. Which is the third smallest value? (a) t (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -159*z - 3. Let r(c) = -7*c. Give 2*i(h) - 42*r(h).\nAnswer: -24*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1829*z + 85143 + 9735 + 120078 = -3289*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l - 12. Let y be l\/8 - (-14)\/4. Do 4 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b + 6 = -6*h, 9 = -3*b. Solve h = 4*p + c + 5, c + 58 - 57 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 1256972.5.\nAnswer: 1256976.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {f: 3, h: 2, e: 3, u: 3, l: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 9:07 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + 5*t - 1. Suppose 4*o - 2*o = -4. Let u(y) = y**2 - y - 1. Let a be u(o). Let b be x(a). Let f(g) = 5*g**2 + 2*g + 1. What is f(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a + 9*a - 11*a. What is q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -446, -219, 156, 679?\n\"Answer: 74*y**2 + 5*y - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/75 + -83\/150. What is the closest to u in 0.5, -0.06, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 8*x - 5. Let j be i(10). Calculate the remainder when (-302)\/(-10) + 5\/j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396181, -396170, -396153, -396130, -396101, -396066?\nAnswer: -396025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/3)*c*(c**0*c)\/c*c**20\/(c*c*(c\/c**(-3\/14))\/c))**(2\/15) assuming c is positive.\nAnswer: c**(859\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -220250\nAnswer: -1\/110125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from nnaupqaqnnnqn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 21717882320 to the nearest 1000000.\nAnswer: 21718000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -368255 - 0.11\nAnswer: -368255.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 7) to base 15\nAnswer: -e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let z be (-7647)\/(1 + 2)*q. Let u = 30515\/12 - z. What is the common denominator of u and -55\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let s(k) = -3. Let h(v) = -3*v - 22. Let n(a) = 5*a + 24. Let m(b) = 7*h(b) + 6*n(b). Let x(o) = m(o) - 3*s(o). Determine w(x(q)).\nAnswer: 81*q**2 - 18*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -0.5, -0.4, 5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/2, 2\/595, 0.032 in decreasing order.\nAnswer: 2, 0.032, 2\/595, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/29)*u**(-1\/3)*((u\/((u*u**(1\/22))\/u))\/u*u)\/(u\/(u\/u**(-23\/5))))**(-6) assuming u is positive.\nAnswer: u**(-50297\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 11*i + 10. Let q be g(-7). Let j be (-2)\/(-2 - q\/10). Suppose m - 62 - 48 = 0. What is the greatest common factor of m and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.3 - -29.3. Which is the fourth smallest value? (a) p (b) 2\/35 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*k**2 + (19 - 13 - 46)*(3 - 3 + 3*k**2)*(-2 + 4 + 2) in the form h + w*k**2 + j*k and give w.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1128 and 95\/5697152?\nAnswer: 17091456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52\/3 in -3\/5, 14.9, -1\/6, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357352 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:50 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329977?\nAnswer: 11, 120907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t + 14. Let r(c) = -3*c - 8. What are the prime factors of r(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 35*y**2 + 34*y + 36. Let b be x(36). What is the fourth biggest value in b, -2, 4, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 69, 68, 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*w - 53*w - 56*w - 72*w - 54*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -6. Let g = j - -1. Let m(y) = -y**2 - 5*y + 1. Let a be m(g). What is the greatest common divisor of 15 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 103*f**3 + f**2 + 5*f - 6. Let q(v) = 59*v**3 + v**2 + 3*v - 3. Let c(d) = 4*i(d) - 7*q(d). Let n be 78\/(-30) - (-2)\/(-5). Give c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-25))\/(-10 - (-480)\/50)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4*i**3 + 6)*(-1637 - 85*i**2 + 1636 - 197*i**2).\nAnswer: 1128*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in -10, -7, -2, 3\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - j = -2*j + 10, 4 = 4*j. Which is greater: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 27. Suppose 4*v - 20 = 0, 3*j + 2*v = v + 101. Let b be (-2)\/6 - j\/(-24). What is the greatest common divisor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 38. Suppose v = p*v + 2*v. Put -4, v, 4, 5 in decreasing order.\nAnswer: 5, 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 24*q - 13. Which is the fourth smallest value? (a) 2\/23 (b) -2\/13 (c) 114 (d) 0 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b**2 + 22 + b**3 - 47 + 41. Let j be s(-12). Suppose 429 - 77 = j*g. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q - 94. Let w be t(-8). Let p(x) be the first derivative of 0*x**w - 11\/2*x**4 + 0*x - 1\/3*x**3 - 14. What is the third derivative of p(y) wrt y?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 5:56 PM?\nAnswer: 513","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -832, -1151, -1470, -1789, -2108?\nAnswer: -2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -24*b - 873. What is the smallest common multiple of 238 and m(-47)?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j. Let c(t) be the third derivative of -t**7\/2520 - t**5\/20 + t**2. Let o(x) be the third derivative of c(x). What is o(a(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 = -4*t, 3*t + 3*l = -2*l - 7. Let y be (119\/51)\/(3\/(-72)). What is the remainder when (-3)\/(-1) - (y - t\/2) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 - 3)*(-y - 1 + 1)*(22 - 3 + 5).\nAnswer: 264*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 7*u + 87. Suppose 5*w + 9 = u. Suppose 0*r + 132 = w*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 19 = 3. Let i = r + 14. Calculate the least common multiple of 10 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4144 divided by 48514\nAnswer: -2072\/24257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -21*x + 386. Let f(a) = -a + 5. What is the remainder when (-18)\/(-4)*9\/(x\/20) is divided by f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let l be s(-6). Let x be 42\/l*(-4)\/3. Let h(v) = -v**3 + 7*v**2 - 2*v + 28. Let n be h(7). What is the highest common divisor of x and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/10 and 39\/1544038352.\nAnswer: 7720191760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94211638 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022738 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 - 13166.90841?\nAnswer: -13166.92541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29761*o*z**3 - o*z**2 + 235642*o*z wrt z.\nAnswer: -178566*o*z - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18275 - -3966. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.13564ml?\nAnswer: 0.06513564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32156, 64661, 97166, 129671, 162176?\n\"Answer: 32505*t - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b**2 + 2*b**2)*(-3*b + 5*b**2 - b + 2*b).\nAnswer: -5*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 65?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:50 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/174 and -97\/4524.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by ((-7)\/(-14))\/((-5)\/(-50))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48435362 * -0.6\nAnswer: -29061217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 + 84*u**2 - 2808*u - 44800 = 0. What is u?\nAnswer: -32, -14, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a millennium in decades?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let l(s) = 29*s. What is p(l(b))?\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/108 and -85\/42792?\nAnswer: 385128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 14*h = 18. What is the common denominator of 52\/7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-228)\/20)\/(42\/(-868)). Let l = p + -236. What is the closest to 3 in 3\/10, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 1767.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63 + -720200?\nAnswer: -720115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2 + u - 2. Let p be y(-4). Let o be 9\/27 + 26\/p. Let z = -28 + 31. Put o, 6, z in increasing order.\nAnswer: o, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12965543.45 to the nearest one hundred.\nAnswer: -12965500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 4, 7 in descending order.\nAnswer: 7, 4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*-1*(-3)\/1. Let v(s) = -s**3 - 4*s**2 + 11*s - 19. Is v(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002377 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -36*l + 8. Let a(d) = -d. Let t(g) = 3*a(g) - m(g). Is t(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 553 - 552.9. Let n = 0.18 - 1.18. Which is the closest to 1? (a) h (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.44 + -57.56. Let f = w + 82. Let h = f - 19. Put -2, 1, h in descending order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123412, 123420, 123426, 123430?\nAnswer: 123432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 186805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 2*w + 2 + 2*w)*(44 - 53 - 16).\nAnswer: 125*w - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 7\/2*-2. Let f be y\/4 + 1235 - -2. Suppose 0 = -0*j + 5*j - f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 515 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 27. Let y = x + -14.5. What is the closest to -1\/2 in 3\/4, y, -0.05?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - -2) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34112 (base 5) in base 6?\nAnswer: 15051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 5307 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) + -1*sqrt(85) - sqrt(85)) + sqrt(85) - sqrt(85))\/sqrt(180).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 475 = 68. Suppose l + 0*i + 8 = -4*i, -4*l + 40 = -2*i. What is the lowest common multiple of a and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 5 - 13 + 16. Give d(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 261?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2912 or -2913?\nAnswer: -2913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -72. Solve 4*a = -0*a + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7851104069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4386221 (base 10) to base 16\nAnswer: -42edad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + d + 4*d + 10*d - 9*d - 5*d to t*d + j and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 392*i**3 + 881*i - 354*i - 526*i - 3*i**2 in the form r*i**2 + c*i**3 + d*i + x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 49.798231.\nAnswer: -149.394693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15340 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 s be 18\/(-66)*((-5)\/(-3) + -7). Is s at least as big as 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -15 + (21 - 25) + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3980*r = 4080*r + 1600 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j - 227*j + 1998*j - 38871 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 32, 51, 72, 95?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -45b65?\nAnswer: 45b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + 648?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -60*w + 2. Let k(i) = 20*i - 1. Let y(l) = l**2 + 8*l - 822. Let r be y(25). What is r*m(j) + 8*k(j)?\nAnswer: -20*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from elkbllaell.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3 - 40*w**2 + 2362*w. Determine z(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492266, -492115, -491964, -491813, -491662, -491511?\nAnswer: -491360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a3760 + 7?\nAnswer: 5a3767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(-3 - 24\/(-20)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k**3 + 38*k**3 - 5*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 19 = -3*w - q, 5*q = w - 5. Let x = -3460 + 3461. Put w, -2, x, -4 in increasing order.\nAnswer: w, -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13377212573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -31*p**3 + p**2 - p - 1. Suppose -r - 8 = -4*c, -c - 4 = 3*c - 4*r. Suppose -5*u - c*a = 2, -5*a + 6 = -0*u - u. Does 16 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283\/740 - -27\/148. What is the closest to -1\/5 in 0, a, -1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31353 is divided by 4478.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 + 56630*z + 509265 = 0.\nAnswer: -11317, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2805 - 2753) + -12 + (1 - 2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by (-1 - -8) + 2829\/(5 - -18).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:41 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 less than 1?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.18167 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a decade?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -12.8, -44, 4 in decreasing order.\nAnswer: 4, -6, -12.8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3.1.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -19. Suppose 3*w - 8 = 5*w, 0 = -f - 5*w - t. Which is the smallest value? (a) -2 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33120033 + 11?\nAnswer: -33120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2669?\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -10*k**2 + 985. Let a(t) = 45*t. Calculate a(d(h)).\nAnswer: -900*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*o*s**3 - 3*o*s**2 - 7*s**4 + 4*s**3 - 268*s**2 wrt s?\nAnswer: -330*o - 168*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 7*i - 7. Let f(s) = -6 - 12*s**2 - 9*s**2 + 27*s**2 - 13*s**2 + 8*s + s**3. Let t(d) = -3*d - 12. Let z be t(-6). Let y be f(z). Give u(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 2*x - 1 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.04, 1.8, -4 in descending order.\nAnswer: 2, 1.8, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 6094.\nAnswer: 5\/6094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -1.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14365*t + 72067. Give x(5).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 4*c + 4. Let k be -1*2\/(-2) + 11. Let q = k + -9. Suppose q = 12*m - 13*m. What is h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(1 + sqrt(11)) + (0 + sqrt(396))*-3)**2.\nAnswer: 68*sqrt(11) + 3183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, o: 2, m: 1, z: 6}. What is prob of sequence kz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 317342536 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74912417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 490\/(-420)*8\/14*-1*(-30)\/175\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 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: Is 6041123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -170, -32, 69, 3 in ascending order.\nAnswer: -170, -32, 1, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 97 = -9. Solve 0 = -4*q - 1 - s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f**2. Let p(i) = 10*i**2 - 1048256. Give p(a(j)).\nAnswer: 1000*j**4 - 1048256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3936 divide 779934144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024201 to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.3 + 106. Let l = r + 1.3. Let y = l - -12. Is 0.1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342401375 by -13696055.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**2 - 8035*u - 5350 = 0. What is u?\nAnswer: -535, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 515541?\nAnswer: -515542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - w - 3*w + (-1 - 1 + 4)*(-1 + 2*w + 1) + 407*w - 303*w - 504*w)*(3*w + 3*w - 5*w)*(0 + 1 + 0) to j*w + n*w**2 + k and give n.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/9))\/k*k**4)\/(k**(2\/17)\/((k**1*k)\/k)))**(-2\/3) assuming k is positive.\nAnswer: k**(-1562\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 h when three letters picked without replacement from {f: 3, k: 3, x: 1, a: 7, y: 2, h: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89605.34 millilitres?\nAnswer: 89.60534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1582272.3*29\nAnswer: -45885896.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snqq when four letters picked without replacement from {q: 2, s: 5, n: 9}?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405.3 + -60.3. Let d = l - 344.5. Which is the nearest to 0? (a) d (b) -1\/5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.78*0.366\nAnswer: 9.06948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 110455110?\nAnswer: 110455115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486665 and 27510?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 + 1426*u**3 - 687960*u**2 + 116958816*u - 2255071104 = 0. What is u?\nAnswer: 22, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 + 5*l - 4. Let y = -11 + 16. Suppose -y*s - 5 = -25. Give h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 5706593) + 0\/1. Let x(u) = -4791*u**3 - 3*u**2 - 4*u + 2. Let s be x(-4). Let p = s + d. Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-15)\/5)\/(-3). Let v(g) = g**3 - 2*g**3 + g**2 + 0*g**3 + 5*g**2 - 4*g. Is 3 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 34*x - 2802. Calculate m(84).\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 110.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((72\/348)\/6)\/(3 + -2). Which is the third smallest value? (a) -7 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqbc when four letters picked without replacement from {y: 2, n: 1, b: 1, c: 2, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3684\/(-3070)*(-195)\/6?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 99 + 4*3\/4. Let o = d - 26. Suppose 0 = 3*v + u - o, v + 2*u - 17 = -0*v. Calculate the greatest common divisor of v and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/7)\/((-6)\/84). Let v be (6\/i)\/(1\/(-12)). Which is bigger: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/24 - (-1)\/(-4). Let a(x) be the third derivative of x**6\/120 + x**5\/20 - x**4\/12 - x**3\/3 - 6*x**2. Let r be a(-3). Sort 5, r, o.\nAnswer: o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:10 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233840 is divided by 2505.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2755 + -61?\nAnswer: 2674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 11.5\nAnswer: 103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 41, 85, 145, 221, 313?\n\"Answer: 8*n**2 + 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0*i = 5*i + 10, -4*p - 2*i = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-138)\/117*147\/(-7007) and 87\/1352?\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let m(y) = 1177*y. What is m(n(v))?\nAnswer: -1177*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*r, -5*r - 2 = -3*z - 7. What is the hundreds digit of -1 + 385 + 3 + z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/9192 and -131\/72?\nAnswer: 27576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638268 is divided by 1426.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -473, -586, -773, -1034, -1369, -1778?\n\"Answer: -37*o**2 - 2*o - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -100100111001000111110?\nAnswer: -100100111001001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02906719467 rounded to four dps?\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 50*s + 1758. What are the prime factors of v(-3)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -11. Suppose 2*f = -r*f + 12. Let c(m) = 25*m + 79. Let b be c(-3). Put f, 5, b in descending order.\nAnswer: 5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6248?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 5, u: 1}. What is prob of picking 1 v and 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12*v = -147. Let b = 23 + v. Solve -3*k + b = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/5 of a decade?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose -2*i = 5*h - 0*i - 44, 3*h - 18 = -f*i. What is the remainder when 39 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -18*j - 65. Let v(n) = -n**2 - 2*n + 7. Let s be v(-3). Suppose -s*d = -17 + 1. What is the lowest common multiple of d and x(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24405362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173497*l**4 + 91709*l**4 + 86105*l**4 + (3*l - 5*l + 0*l)*(-2*l**3 + 0*l**3 + 0*l**3) to v*l**4 + x*l + q*l**2 + s*l**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*j + 106 = -321*j + 16*o, -45 = 3*j - 4*o - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 1\/10 (b) -1\/180 (c) 2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15406585 bigger than 15406595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at least 834\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 + 8*r - 8. What is y(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 96*v**3 + 3*v**2 - 98*v - 11. Is n(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j = 50 + 110 + 347 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*y - 12 = 0, -4*z = z - 3*y + 12. Suppose 5*f - 5*n = -z*f + 50, -3*f + 27 = -2*n. What is the smallest common multiple of 15 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27068 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1542343 (base 6) to base 14\nAnswer: 253a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 - 2*l**2 + 2*l**4 - 4*l**4 - 2*l**4 + 2 to the form t*l**4 + v*l + n + b*l**3 + c*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38075092?\nAnswer: 2, 11, 865343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:23 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*q - 16, 2 = 4*h - 10. Suppose q*g - 1067 = 5*f, 9*g - 2104 = 5*g + 4*f. What are the prime factors of g?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33017303 or -165086518\/5?\nAnswer: -33017303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110962637?\nAnswer: 179, 229, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -43, -4, -2\/19 in increasing order.\nAnswer: -43, -13, -4, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 10495636697061?\nAnswer: 10495636697074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 474818?\nAnswer: 4273362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 2}. Give prob of sequence wwp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.3079 - -18.3. What is s rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -647.59 - -641.2799. What is q rounded to 1 decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 3008?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 13*c**2 + 12*c - 7. Let w be l(-12). Calculate the remainder when w + 12\/4 + 60 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -20 + 55. What is the remainder when q is divided by -5*1*(-9)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -21*i**2 - 72*i + 93 = 0.\nAnswer: -31\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-12)\/(-3))\/(-4). Let t be 10*160\/(3 - s). What is the tens digit of t\/24 + (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3120, 15, -11 in descending order.\nAnswer: 3120, 15, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.5 (b) -0.04 (c) -4 (d) 2\/5 (e) 448.3 (f) -2\/5 (g) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 14314746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308117, -306536, -304955?\nAnswer: -303374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 53 = 33. Let d(z) = -5*z**3 - 5*z**2 - 3*z - 1. Is d(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, -0.1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {l: 7, f: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31964989 and 38623?\nAnswer: 415544857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 4*b**2 + 4*b + 8. Let u(f) = -f**3 - 5*f**2 + 5*f + 9. What is -5*t(k) + 4*u(k)?\nAnswer: k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220954517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 - l. Suppose -8*i + 4*i + 20 = 0. Suppose 0 = -i*a, -12 = -m + 4*m - 4*a. Determine c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*k - 658*k + 45 = 0. Suppose -3*i - 6 = -6*i. Suppose a + 4*s = 5, 0 = 2*a + a + i*s - 15. Solve k*l + 20 = 0, 5*l + 0*l + 25 = a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20102102000 (base 3) to base 12.\nAnswer: 611a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 21 = 5*o + 4, 3 = 3*o. Let t be (20\/v)\/(2\/(-6)). What is the tens digit of 19 + 0 + t\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 714 + -720. Let z(r) = 4*r + 2. Let h(k) = 10*k + 4. Let t(i) = d*h(i) + 14*z(i). Let m(l) = -6*l + 6. Determine -5*m(v) + 8*t(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 372.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-25)\/(-3) + ((-56)\/5 - (-46305)\/11025).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294088?\nAnswer: 2, 161761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 275.\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13790121.\nAnswer: 3, 4596707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:15 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 28 + -3 + -51 + 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:58 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 5*h**2 - 3*h - 2. What is c(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 10) in base 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 144, 135, 110, 63?\n\"Answer: -z**3 + z**2 + 5*z + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.1 + 27275.97187?\nAnswer: 27858.07187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 0*f**2 + 0*f**2 - 2*f**3 + f**3 + 3*f**3 + (2*f**2 + 2*f**2 - 6*f**2)*(-3*f + 0*f + 5*f))*(f - 3*f + 3*f) - f**4 + 2*f**4 - 2*f**4.\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2*f**3\/3 + 3*f**2 - f - 468. Let r(q) be the first derivative of 2*q**3\/3 + 5*q**2\/2 - q - 1. Give 5*r(y) - 4*v(y).\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -352, -1435, -3244, -5779?\n\"Answer: -363*s**2 + 6*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 - 2*n**2 + 2*n**2 + (n**2 + 4*n**2 - 3*n**2)*(-2 - 1 + 4) + (225*n + 18*n - 29*n)*(-11*n + 55 - 55) + 8*n**2 - 11*n**2 + 5*n**2.\nAnswer: -2351*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 5:22 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r - 0*r. Put -4, 0, r in descending order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 3, n: 2, a: 6, j: 2, g: 1}. Give prob of picking 3 g and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29\/1 - (-3 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l - 9. Suppose -u = 5*b, l*u - 8*u = -b. Suppose u = -2*f + 6, 3*f + 47 = -5*h + 126. What is the greatest common divisor of h and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 - 9*x. Let r(s) = 2*s**2 + 4*s. Let h(q) = 4*l(q) + 9*r(q). Let a(b) = -13*b**2. Determine h(a(p)).\nAnswer: 338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.6. Let u = 0.1 + v. Put 1\/4, u, 5 in increasing order.\nAnswer: u, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6694 - 5046. What is the highest common factor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 6. Let i be h(4). Calculate the least common multiple of 27\/3*1 + i and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*t - 27, o - 4*t - 97 = -4*o. What is the remainder when 78 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 2*t**3 + 0*t**3 + (-3*t + 0*t + 2*t)*(2*t**2 + 0*t**2 - t**2) - 3*t**3 + 5*t**3 + 0*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-12)*(w**(3\/2)\/w)\/w assuming w is positive.\nAnswer: w**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-1078))\/((-22)\/242)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -3*z**5\/20 - z**4\/6 + 2*z**3 + 4*z**2 + 21*z + 2. What is u in c(u) = 0?\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1036896, -1036902, -1036910, -1036920, -1036932, -1036946, -1036962?\n\"Answer: -p**2 - 3*p - 1036892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 + -0.8. Let m = 3.7 + x. Let u = m - -0.3. Which is bigger: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nswflnulw. Give prob of picking 1 n and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1878*s + 1105*s - 59660 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*r)*(-1238 + 45 + 323 - 2336).\nAnswer: 9618*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20805390 divided by 614.\nAnswer: 33885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 10:02 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c**3 + 554338*c**2 - 2*c + 2034274 wrt c?\nAnswer: -12*c**2 + 1108676*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7.24*531844\nAnswer: -3850550.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3687 * -2.064.\nAnswer: -7609.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3\/7, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2. Suppose -a = 25 - 27. Let w(z) = -7*z - 16*z**a - 9*z + 16*z. What is -10*j(r) - 3*w(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293529 is divided by 73378.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -16. Suppose -o*l = l - 19200. Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3744796 and 2420?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, -16, -369, -1258, -2911?\n\"Answer: -38*z**3 + 74*z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70667391 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 6, 2*b = -0*b - 2*a + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (((sqrt(88) - 2*sqrt(88)) + sqrt(88) - sqrt(88))*-6 - sqrt(88) - sqrt(88) - sqrt(88))\/(sqrt(8)*-2*6)).\nAnswer: -20 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrc when three letters picked without replacement from athrc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -222220022 (base 3) in base 9?\nAnswer: -28808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - r**2)*(-4 + 3 + 3) - 4*r + 4*r - 2*r**2 - 38 + 38 - 15*r**2 as y + v*r**2 + b*r and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065205783*l + 1065205783*l - 3*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6 + 2*p**3 + 87*p**3 + p - 18.\nAnswer: 89*p**3 + p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 13 + (1 - 4) + 45\/(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (41 - 0)*(-4 + 3). Let k = -15 - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15965290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*k + 100 = 175*k. Solve -k*t - 22 = -n - 33, -4*t - 3*n = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-255)\/81*7\/((-70)\/15) and 29\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*t**3 + 45*t**3 - 16*t - 2*t**4 + 15*t - t**2 + 61 to the form f*t**4 + g*t + c + k*t**3 + y*t**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 20*j**4 + 295*j**3 - 95*j**2 - 295*j + 75 = 0.\nAnswer: -15, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5531645 divided by -5531645?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 37 + 153 = 20*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000697512 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*a**4*x - 1880*a**4 + a**2 + 11369506*x wrt a?\nAnswer: -108*a**3*x - 7520*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*f + 2*g - 6*g, 15 = 3*f + 3*g. Let m = -9 + f. Let j = 1 + m. Which is the second smallest value? (a) -1\/2 (b) 2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18709, 79020, 179539, 320266, 501201?\nAnswer: 722344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m - 64 + 64)*(5*m + 8*m + 48*m) + 2*m**2 + 1 - 1 in the form f*m**2 + b*m + p and give f.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + 2 - (40\/(-30) + (-476777)\/(-75138)) and 49\/18.\nAnswer: 32202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 + 5*o - 9. Let v be x(-7). Suppose -v*t = -2*t - 153. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14187, -16159, -19445, -24045, -29959, -37187?\nAnswer: -45729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/(-80) + (-12)\/(-40). Let z(h) = 10*h**2 - h**x + h**2 - 5*h**2. Let s(a) be the first derivative of a**3 + 2. Determine z(s(c)).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1485. Let b(m) = m + 986. Determine -7*b(i) + 5*v(i).\nAnswer: -2*i + 523","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24423490, -48846978, -73270452, -97693906, -122117334?\nAnswer: -146540730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 58*z**2 - 60*z - 13. Determine g(59).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745 (base 9) in base 8?\nAnswer: -2471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13140 (base 5) to base 14\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*w. Suppose 3*i - 46 = c, 7*i + c = w*i + 90. Let h be (-2)\/4 - i\/(-2). What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 22587 + 6930 = -5*u, -6263 = -2*u - t. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:57 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18593.491 - -18601. Let c = z + -7.5. Round c to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739, -1436, -2137, -2842, -3551, -4264?\nAnswer: -4981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299962 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.307623 to 2 dps.\nAnswer: -5.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 3*z + z. Let m = 13859 - 13841. Calculate the lowest common multiple of m and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30339.987 and -0.213?\nAnswer: 30340.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2136601 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390121 to the power of 1\/2, to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 - 4*f**4 + 2*f**4 + (2*f**3 - 27*f**3 + 2*f**3)*(-14 - 6 + 5)*(-f - 2*f + 4*f) to d*f**4 + l*f + v*f**2 + u + j*f**3 and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 694\/7. What is the closest to v in -4\/7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -33)\/((-2)\/2). Let n = 60 - y. Let w = n + -19. Solve -5*i = -w - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7960201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132348823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 137971764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, 2, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 2:41 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**24*h**(3\/8))\/(h**7)**(-2\/63) assuming h is positive.\nAnswer: h**(1771\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Suppose 4 = 2*c, -3*m + 0*m = 3*c - 27. Let j be h(m). What is the greatest common divisor of 42 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6484478734?\nAnswer: 2, 23, 37, 3809917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143456 by -4.\nAnswer: 35864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1.4125?\nAnswer: -0.42375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + (-34)\/24. Let m = 0.2 + 0.8. Let w = -29.5 - -29. What is the third smallest value in m, w, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48261 is divided by 6775.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6343 - 0.009768?\nAnswer: 6342.990232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 6 = 3*i, 0 = -s - 2*i - 9. Let y = s - -12\/5. Let r = -1.98 - 0.02. Which is the closest to 1\/3? (a) 5 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179\/15 - -53\/5. Which is the second biggest value? (a) -3\/5 (b) 4 (c) -0.2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2. Let z(t) = 9*t. Give z(c(h)).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4, -5, -6 in decreasing order.\nAnswer: 4, 0, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 418?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**2 - 2*f**2 + (-f**2 - f + f)*(-2 + 2 + 1))*(9 - 5 + 15*f - 2).\nAnswer: -30*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, d: 7}. Give prob of picking 2 d and 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtaatvltllvaavl. Give prob of picking 2 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 100326642.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9 - ((-36723)\/9 - 0). What is the highest common divisor of o and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a18966 (base 12) in base 8?\nAnswer: 11502136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*p = -56*p - 2576 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1170)\/(-297) - 4)*(3 - 0). What is the second biggest value in 3, n, -28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(28\/(-672)). Suppose -4*k + 37 = 9. Is h at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 not equal to 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.91 - 1.09. What is the second biggest value in 12\/5, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(sqrt(55)\/(sqrt(5) + sqrt(80))))\/(sqrt(108)\/(sqrt(9)*2) - (sqrt(12) + sqrt(24)\/sqrt(2)*3)) + 5 + -5)**2.\nAnswer: 200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y**2 - y + 5. Let j = -134 - -134. Let f be i(j). Solve s = -f*u - 13, 0*s + 5 = -s - u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -10, -23, -36, -49, -62?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*v - 7*v**2 + 25*v)*(-v + 5*v - 2*v) in the form q*v**3 + j*v + b*v**2 + o and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -554, -6186, -21462, -51206, -100242, -173394?\nAnswer: -275486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*t - 56*t = -894*t + 34992 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:54 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 9360 - 9360.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 3*y + 5*y + (-1 + 5 - 3)*(-2*y + y + 4*y) + 2*y + 0 + 0 + y - 24*y + 2*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n + 4. Let u be l(2). Suppose 0 = u*c - 38 - 70. Let y = -9 + c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8003 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(125) + 0 + 0 + sqrt(125) + 3*(sqrt(125) + sqrt(125) + -1)) - (1*sqrt(125) + -2 - (5 + sqrt(125)*2)))**2 + -1.\nAnswer: -1650*sqrt(5) + 136149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7800 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = 3*a + 34, 0 = -4*a - 4*w - 8. Let g = a - -25\/4. Let s be (4 - -2) + -2 + 1. What is the biggest value in s, 2\/19, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 43874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12279 = 2*j, 0 = -4*p + 3*j + 15293 - 5456. What is the highest common divisor of p and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ca + -6?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98919437 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 16*f**3 + 0 - 11*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o + 52*o = 8*o + 6554. Sort -0.2, o, 0.6.\nAnswer: -0.2, 0.6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/5 and (-52)\/4*(-14)\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12010)\/(-7206)*((-1)\/(-1)*2)\/(-5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-1)\/5)\/((-40)\/700). Let o be n\/(-21)*(-2 - (-26)\/10). Factor 4\/5*y**5 + 4\/5*y**3 + 0*y**2 + 0*y + o*y**4 + 0.\nAnswer: 4*y**3*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/24 + 2\/16. Suppose -h*i - 3*i + 10 = 0. Solve t - 7 = 4*n, i*n = 4*t - t + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 11*w - 15, -j + 3*w - 9 = 0. Let v be 3\/4*8*3. Calculate the greatest common divisor of v and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17890099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8240 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + 13*f - 11. Let x(j) = -j**2 + 1. Let i(g) = p(g) + 2*x(g). Is i(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 169875.\nAnswer: -1\/3775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239170*m**2 - 337080*m**2 + 40848*m**2 - 31183*m**2.\nAnswer: -566585*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 2, a: 3, i: 2, k: 4, s: 6}. Give prob of sequence cqki.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*n**3 - 44*i*n + 5*i - 71237*n**3 with respect to i.\nAnswer: 3*n**3 - 44*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3841, -3836, -3831, -3826, -3821, -3816?\n\"Answer: 5*k - 3846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699294 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose 0 = 5*z + 3*i - 11, -4*i + 0 = 2*z - 10. Solve p*r = r + z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 0.05, -2\/9, 0.3.\nAnswer: -2\/9, 0, 0.05, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29953.\nAnswer: 7, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 169*w**2 - 610*w - 8034. Give a(165).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:11 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 2*o**2 + 3*o + 1. Give a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -14*u + 105. What is the highest common factor of 84 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561664614?\nAnswer: 2, 3, 7, 107, 124981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*c - 843*c = 107 + 1876 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Which is the third biggest value? (a) g (b) 6\/19 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.86384mm in meters?\nAnswer: 0.09686384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2281 - 4161 = -3*x - f, -f + 4294 = 2*x. Is x > 2147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299768 and 1855?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 17*k**2 + 17*k - 17. Let z = -6 - -13. Calculate the smallest common multiple of u(-18) and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22587 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 - 3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 919147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775185\/123 not equal to 38822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -690\/101 + 23329\/1212. What is the common denominator of y and -11\/204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 - 25500*t**2 + 78811528*t + 78837024 = 0. What is t?\nAnswer: -8652, -1, 2278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -310495\/1004 - -1237\/4. Is v greater than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*m - 35, -b - 159*m + 11 = -160*m. Solve 2*n = 6, -4*n = -12*a + 11*a - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 949600 and 2374.\nAnswer: 949600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 431. Let b(t) = -t + 108. Determine 6*a(o) + 22*b(o).\nAnswer: 2*o - 210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -21240?\nAnswer: 21246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 5, q: 3}. Give prob of sequence tqqq.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) + (-2 - (-5 - -3)). What is the closest to 5 in 3, -1, 1, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 - -154.2. Let a = -422 + 421.76. Put m, a, -2 in descending order.\nAnswer: m, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:08 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let u(t) = 8*t**2 + 2*t + 2. Let o be 14\/6 + (-7)\/21. Let x(b) = b**2 + b + 1. Let r(s) = o*x(s) - u(s). What is g(r(i))?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78133 is divided by 1186?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 3*j - 4*j)*(-3*j + 0*j + 2*j) + 4921*j**2 - 2462*j**2 - 2462*j**2 - 1607*j as l + f*j**2 + n*j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -17*l + 328. Let p be q(19). Let b be (-220)\/p*3*(-5)\/300. What is v in 0 + 1\/5*v**4 - b*v**2 - 4\/5*v**3 - 6\/5*v = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -43. Suppose m = -2*u - 4*s + 214, -211 = -2*u + 3*s + 10. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - 3 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 1. Let c be f(1). Suppose 5 = 4*p - 3. Suppose o + m = -1 - p, -3*m - 16 = -4*o. Sort 4, c, o in decreasing order.\nAnswer: 4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3163486 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*y = -1458, 3*r + 4*y + 978 + 3416 = 0. Calculate the common denominator of 2751\/r + (-8)\/(-10) and -9\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 269448.12 seconds?\nAnswer: 4490.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/5 + 4*l**3\/15 + 98. Factor z(d).\nAnswer: 4*d**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -29. Find the common denominator of -26\/57 and (-815)\/60 + o\/(-4).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 - 2*w - 8. Let o be g(-6). Solve -2*p + 3*p + o*c + 2 = 0, p - 6 = 4*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156720024*g**2*l**2*o + 4*g**2*l*o**2 - 2*g**2*o**3 + 2*g**2*o - 5*g**2 + 11*g*o**3 + l**2*o**3 + 11412*l wrt l.\nAnswer: 313440048*g**2*o + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -56*d + 9. Let j(a) = 14*a - 2. Let u(q) = -26*j(q) - 6*k(q). Let x(c) be the second derivative of -c**3\/3 + c. Determine u(x(h)).\nAnswer: 56*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 2\/21, 1.2, 5082 in ascending order.\nAnswer: 2\/21, 1.2, 2, 4, 5082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 24*s**2 - 21*s + 148. What is i(20)?\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 142 - 142 + 7*b**3 + 3*b + 3*b**5 + 12*b**2 + 12*b**4 + 11*b**3.\nAnswer: 3*b*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/(13\/(-117)). Let j(i) = i**3 - 2*i**2 + 2*i - 3. Let p be j(2). Let l be (5\/(-4))\/(2\/(-4)). Sort l, p, 0, f in increasing order.\nAnswer: 0, p, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 1. Let w be q(-2). Suppose -3*g = -w*t + 17, -2*g - 18 = -5*t - 0*g. Is (20\/t)\/((-1)\/(-6)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 19 - 133 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:01 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448952623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**3 + z**2 - 1. Let b be -3*4\/6 + 3. Let p be d(b). Suppose 2*w + 20 = p*w. Solve 2*u - l + 0*l = 2, w*u = 3*l + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -11*j + 74 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 16) + 1 + (9 - (4 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 3*v**3 + 11*v**2 + 4 + 7 + 0*v. Let r(c) = c**3 + 4*c**2 + 2*c + 4. Let j = -3 + 7. Suppose 22 = -6*x + j*x. Give x*r(l) + 4*m(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366206 and 1236710.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/6 - 5*l**3\/6 - 23*l**2\/3 - 20*l\/3.\nAnswer: l*(l - 10)*(l + 1)*(l + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*r**(-1\/5))\/(r**(-4\/7)\/(r**(-3)*r))*((r**(-2\/5))**43)**35 assuming r is positive.\nAnswer: r**(-21407\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and 111.\nAnswer: 110.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f - 5*m = -42*f - 10, -m = 3*f - 16. Which is the third smallest value? (a) -4 (b) f (c) 10\/3 (d) -1\/7 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1793*n**2 - 847*n**2 - 1214*n**2 + 561*n**2 - 21*n**2 in the form r*n + c + o*n**2 and give o.\nAnswer: -3314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15.6825 * -11\nAnswer: -172.5075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 = 6*k - 5102. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 8*a + 4. Let v(t) = -3*t**2 - 9*t - 5. Let c = -3570 - -3576. Calculate c*v(w) + 7*n(w).\nAnswer: -4*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*u - 31034847 = 212*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2468*t + t**2 - 2*t**3 - 2468*t as j*t + n*t**3 + f*t**2 + s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 - 10*j - 38. Let g(q) = -16*q**2 + 31*q + 114. Let d(n) = 2*g(n) + 7*l(n). What is the tens digit of d(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41079 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1239 + 4997\/4. Let u = -7041\/32 - -220. Calculate the common denominator of u and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 8, 5, -0.1, 9215?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4741, 17315, 38273, 67615?\n\"Answer: 4192*m**2 - 2*m + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 + 23 = 141*h - 270. Let z(b) be the first derivative of 18*b**4 + 388\/3*b**3 + 4\/5*b**h + 38 + 256*b + 288*b**2. Factor z(q).\nAnswer: 4*(q + 1)**2*(q + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2 + 24352*h - 74127488 = 0.\nAnswer: 6088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 - 33?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 - 31)*(-43 + 17 + 3)*(7*y + 4*y - 5*y).\nAnswer: 5244*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2 + 130*f - 827. Determine m(13).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(28).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let f(p) = -15*p - 12. Give -5*f(u) + 60*g(u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6020)\/7525)\/((7\/(-18))\/((-45)\/(-12))). Factor -t*q**2 - 48*q - 2\/7*q**3 + 56.\nAnswer: -2*(q - 1)*(q + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32 + -1)*(-46)\/6. Let r be -1 + (-13)\/(-11) - 46\/s. Suppose -f + 6*f - 620 = r. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7361 - -552062\/75. Calculate the common denominator of 145\/(49735\/(-196)) + -2*498\/(-567) and b.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13\/62, 4, 4\/5, -2, -5\/3 in descending order.\nAnswer: 4, 4\/5, 13\/62, -5\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*l - 25, -11*o = -7*o - 2*l - 10. Let z(b) = -7*b + 2. Let w be z(-2). Suppose -32 = -o*v - w. Solve v*t + t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 240*(3 - 4) - -6. Let o = -1173\/5 - h. Which is the nearest to 0? (a) o (b) -2\/17 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4766136l?\nAnswer: 476.6136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:54 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 17*c - 97009. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 3*l**2 - l - 1. Suppose 5*q - 5*u = 30, 0 = 5*q - 2*u + u - 18. Let j = -4 + q. Let k(o) = -o**2 + 2*o + 1. Let v be k(j). Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11403)\/724*(-3)\/27*2*2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + -1 + 9578 + -9524?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 83, 3\/8, 5, 5\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**4 + 28*r - 93*r + 44*r - 25*r**4 wrt r?\nAnswer: -396*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298478*i - 244852*i - 43415*i - 61915*i.\nAnswer: -648660*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.48 - -2.1. What is u rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11094\/5 or -2218?\nAnswer: -2218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 51 = -1. Solve -4*a = -w + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*o - 2, 3*q - 15 = -3. Let x be (-1)\/(-2) - 1\/(-2). Let w be 5*x\/((-1)\/1). Put -3, w, o in decreasing order.\nAnswer: o, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/5, -0.5, 483 in decreasing order.\nAnswer: 483, 2\/5, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17973 + 11925 = -189*i. Suppose -4*y = -h - 507, -y = -2*y + 2*h + 132. What is the remainder when y is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -2.9 (c) 3\/5 (d) 0.01 (e) -86\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - ((2 - -4) + 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09471 * -6.\nAnswer: -0.56826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)**5*r**(-2\/77)*r*(r*r**(-33))\/r)**(2\/5) assuming r is positive.\nAnswer: r**(-1852\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8698854, 17397709, 26096564, 34795419?\n\"Answer: 8698855*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1731307 from -0.3.\nAnswer: -1731307.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4 + 4)*(-13 - x + 25 - 4*x).\nAnswer: 10*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**4\/4 + v**2 + 7. Find the second derivative of d(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1547 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6976.5 rounded to the nearest 10?\nAnswer: -6980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 5*f - 16. Determine w(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -25103242\/11 less than or equal to -2282114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*a**2 + 54*a**2 + 60*a**2 + 4*a**2 + 2*a**2 + 0*a**2 + (-a + 5*a - 2*a)*(5*a - 2*a - a) to the form f*a + u*a**2 + c and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**2 + 4*b - 6. Let y(c) = 13*c**2 + 64*c + 11. Let i(j) = 65*j**2 + 330*j + 58. Let o(x) = -6*i(x) + 31*y(x). Give 7*g(p) - 6*o(p).\nAnswer: 13*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a. Let s be c(6). Let q be 4 + 40\/s - 5. Put q, -1, 0 in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v - 2*x - 1 = 0, 4 = 4*x. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 5*y, 0 = 2*y - 2*q + 8. Let f(t) = -t**3 - 17*t**2 - 15*t + 2. Let h be f(-16). Sort h, 0, y in ascending order.\nAnswer: h, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25459*r**2 + 0*r + 0*r - 29609*r**2.\nAnswer: -55068*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 478*z**2. Let q(y) = -16683*y**2. Determine q(v(o)).\nAnswer: -3811798572*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a - 5. Let i(j) = -5 + 11*j - 2 + j**2 + 9 - 9*j. What is -5*i(s) - 2*y(s)?\nAnswer: -3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41b - d58c?\nAnswer: -d171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -209760 divided by -345\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11649 and 199.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36756 - 36860. Which is the second smallest value? (a) 22 (b) 1 (c) u (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 5128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**1)**(-5\/4)*z\/(z**(2\/7)*z*z*z)*z**(2\/15)\/z)**(1\/11))**(-5\/2) assuming z is positive.\nAnswer: z**(331\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 81\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 336315 (base 7) in base 6?\nAnswer: 1141013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5 - (0 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c45b96 (base 14) to base 13\nAnswer: -14aba88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-4 + 8 + -3) - 1. Find the third derivative of -171*d**4 + d - r*d**2 - 182*d**4 - 4*d**2 + 362*d**4 wrt d.\nAnswer: 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*((-36)\/(-70))\/((-81)\/270).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 272\/4760 + (-35593)\/(-35). Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.064 - 0.634. Let j = 0.27 + m. Put 2, j, -0.04 in descending order.\nAnswer: 2, -0.04, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3853*m + 5065*m - 445900 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -f + 7052 + 5336, 5 = -5*b. List the prime factors of f.\nAnswer: 5, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-18))**(-38)\/((g\/g**(1\/8)*g)\/(g*g**(-3))) assuming g is positive.\nAnswer: g**(5441\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -2 (b) 1\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87\/11 in 5, -20, 109, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 781226, -0.3, 1\/5, -0.18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {b: 4, e: 3, k: 2, t: 1, c: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1)*-6)**2 + -2*(sqrt(11) + 1).\nAnswer: 70*sqrt(11) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 - 22*r - 35. Let h be d(-2). Put -4, h, -5, -1 in ascending order.\nAnswer: -5, -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - 132 - (-62 + 14 + -3 + 48)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 871083 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 20. Let j be ((-72)\/(-27))\/(m\/(-30)). Suppose 4*y - 4 = 3*y. What is the greatest common factor of y and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161565292 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 427 divided by 469604\nAnswer: 427\/469604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -819915, -1639867, -2459807, -3279729, -4099627, -4919495?\n\"Answer: p**3 - 819959*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61957 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*m*y**2 - 32*m*y - 8*m - 2*y**2 + 2*y wrt y?\nAnswer: -66*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -715042.9 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -64, -159, -292, -463?\n\"Answer: -19*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**3 + 9*p**2 - 4*p - 4. Let k(d) = 8*d**3 + 0*d**3 - d - 1068 + 1067 - 9*d**3. Determine -b(f) + 4*k(f).\nAnswer: f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Suppose -p = j*h - 19, -3*h + 32 = 5*p + 3. Suppose -h*i - 10 = -i. Which is greater: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -4) + (0 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.002806 millennia?\nAnswer: 1002.806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -5, 126, 4622?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from {f: 1, y: 3, o: 2, x: 4, r: 3, v: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-21960)\/(-50))\/2 + 8\/20 and 280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152497, 1220051, 4117723, 9760579, 19063685?\nAnswer: 32942107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.278 bigger than -2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 810163217 take away -9880?\nAnswer: 810173097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.7 - -1.7. Let m = s - -34.00000002. What is m rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/5 (c) -1\/5 (d) -1\/11 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3007 or -3008?\nAnswer: -3007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 583\/106*((-32)\/132)\/(15\/(-135)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*s - 26*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(700) + 0 - sqrt(700))*-3)**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7) + 144\/(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k - 3. Let r(b) = -12 - 13 + 15 - 10 + 21. Give -4*r(a) - s(a).\nAnswer: 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.04 + 0.04. Let z = -4 - 0. Let r = z + 4. Which is the nearest to r? (a) d (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1204 - 260*o + 55*o + 1203 - 227*o as u + f*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 844.8 in -3, -4, 2\/7, -0.03?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*z - 217 = 176, z - 395 = o. Let h = o - -400. Solve 3*q - h = 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1504, 10, 4, -3, -5, 2.\nAnswer: -1504, -5, -3, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/((-114800)\/(-168))*(-80)\/4?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*x**3 + 4*x**2 - 4*x**2 - 115*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789.5169ug to tonnes.\nAnswer: 0.0000000007895169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*r - y, 3*r - y = -0*r + 103. Suppose -15 - r = -5*o. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1627 * 23.79.\nAnswer: 38706.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(77) + sqrt(77))\/(sqrt(11) - sqrt(396)*-2)*-6 - (-5*-1*sqrt(7)*-6 - (-4*(sqrt(7) + 1)**2 - sqrt(21)\/(1*sqrt(3)))).\nAnswer: -32 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5690, -18, -33 in increasing order.\nAnswer: -5690, -33, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**6 + 5*s**5 - 1989*s**2 wrt s.\nAnswer: -1320*s**3 + 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1988 - 15861\/8. Let r(d) = 331*d + 17879. Let q be r(-54). Which is bigger: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = j + 48 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*c = -81, -d - 4*c - 10 = -43. What is the remainder when d is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34 from 1192.\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - 10\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 4. Let t be h(2). Let v be (184\/(-4))\/(t + 4). Let s = 23 + v. Solve s = y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692665 is divided by 2080?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22171.49 milliseconds to microseconds.\nAnswer: 22171490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545, -1089, -1635, -2183, -2733?\nAnswer: -3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 92181.01?\nAnswer: 92181.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -54, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 3 = -y, 174 - 165 = -3*y + a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/12 - (-2)\/(-6). Let g be i - ((-2)\/1 - 0). Is g\/(-6) + 118\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 175bc2?\nAnswer: 175bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.160171 to 3 decimal places.\nAnswer: -9.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 44 (c) 1 (d) -3 (e) 0 (f) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**4 - 3*q**2 - 2. Let k(a) = -189*a**2 - 3 + 44*a**4 - 8 + 174*a**2. Let g(f) = -6*k(f) + 33*w(f). Find the third derivative of g(y) wrt y.\nAnswer: 792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1309*b - 1187. What is j(1)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-2)*30\/(-5). Suppose 12 = 3*b - n. Suppose b = 3*z - 5*h - 1, -5*h = 5*z - 20. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14261.43417 to the nearest one hundred.\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216934 - 216933.9. Let m = 0 - 2. Let u = -1 - -1. What is the closest to 0 in u, m, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3680307, -7360621, -11040933, -14721243, -18401551?\n\"Answer: d**2 - 3680317*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*i - 2 - 2.\nAnswer: -4*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 60 - 74 + 35 - 3*y - y**2. Let x be p(-6). Let r(f) = -f**3 + 2*f**2 - f. Determine r(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5413*a + 297*a + 21*a**2 - 3*a**2 - 17*a**2 - 1.\nAnswer: a**2 - 5116*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5\/7 - 51*m**4\/7 - 309*m**3\/7 - 717*m**2\/7 - 120*m\/7 + 1200\/7 = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5929464, -5 in ascending order.\nAnswer: -5929464, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let s(j) = -11*j + 7*j + 3 + 4 + j**a - 2*j**2. Let d be s(-5). Solve -1 + d = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3440 = -i - d, 4*i + 0*i = -d - 13763. Let w = i - -27623\/8. Calculate the common denominator of -67\/4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12629046 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5 - 0 - -6) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 4*l**2 + 15*l + 1 - 15*l + 7*l**2 + 4*l + 2*l**2 as i*l**2 + u + o*l**3 + v*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 3*j**2 - 73032*j + 73031. Give d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:04 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfffbf. What is prob of picking 2 b and 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n + 3. Let q be t(-4). Solve 0 = 2*m + 2*r + 6, r - 4*r = -5*m - q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 7, 4, 63\/22?\nAnswer: 63\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 2)*(-3 - 2 + 7) + 10 - 5 + 3 + (0 - 1 + 0)*(6 + 2 - 5) + 2 - 1 + 1)*(2 - 2*x - 2)*(5*x - 6*x - x).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 24\/6)*-277. What is the highest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211439724?\nAnswer: 2, 13, 42527687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16335, -32810, -49285, -65760, -82235, -98710?\nAnswer: -115185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 5*p**2 + 5*p - 4. Let n be w(-3). Is n\/(3\/(-300)) + 6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s - 65*s - 16 = -2*j, -j - 16 = -2*s. Let m(n) = -n**2 + 10*n - 21. Give m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11135 - -3238. List the prime factors of f.\nAnswer: 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lby when three letters picked without replacement from {n: 3, v: 3, b: 1, y: 3, l: 6}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/7 (b) 0.2 (c) -131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bmvb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)*-2 - (sqrt(24) - sqrt(96))\/sqrt(6))\/(sqrt(8)\/(sqrt(4) - sqrt(36)) - sqrt(200)*-1) + 0.\nAnswer: -42*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3300 - 3239. Do m and 85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 205. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2093*l = -2090*l + 2*v + v - 93, 3*l + 54*v = 6*l + 78 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35151 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 17*c**2 - 44*c + 31. Let u be o(14). Suppose -a - 2102 - 12866 = -2*w, 3*w - 22443 = -u*a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*v - 8555 - 238, -4*o = -4*v - 7020. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of -3*(-1*8266)\/(-2)*(-57)\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let u(f) = -5*f**2 + 6*f + 2*f**2 + 2*f**2 + 10. Let v be u(7). Let x(w) = -2*w**2 + v*w**2 - 3*w**2. Calculate x(o(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = 5*q. Is ((-794)\/4)\/(q\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnip when four letters picked without replacement from mpiniiiineixixm.\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 935 and 680.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3654*q + 3663*q + 3664*q + 3656*q - 14630*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/20 - b**4\/4 + b**3\/6 + 12*b. What is the second derivative of p(d) wrt d?\nAnswer: 6*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -3\/7, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1389791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-26*g + 0*g**3 + 24*g - g**3)*(0*g**2 + 3*g**2 - 2*g**2).\nAnswer: -2*g**5 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4920 - 1621. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -g + 90, -b + 0*g = -g - 20. Suppose 61 = x - 5*i, 0*x + 2*i = -5*x + 332. What is the highest common factor of x and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 - 30*q**3 - 75*q**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133\/60 - 23\/12. Let j = z - 31\/20. Sort j, 0.2, 0.1.\nAnswer: j, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**3 - 804*m**2 + 57663*m - 499230 = 0.\nAnswer: 10, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*s = -7, 4 + 4 = -4*l + 4*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nei when three letters picked without replacement from ienaeaa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -713*b**5 + 391*b - 1?\nAnswer: -14260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 378 + 0*a**2 - 2*a - 382 + 0*a**2 to the form u*a**2 + q*a**3 + h + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let q = 15 + -11. Suppose 0 = -f*a + 20 + q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -289768, -579556, -869332, -1159090, -1448824?\n\"Answer: n**3 - 289795*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + t + 0 = 8 - 0, -622*t + 618*t = 2*g + 40 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 9*f**2 + 3*f + 8. Let r be d(-9). Let o = -14 - r. Suppose 3*j - o*j - 58 = -2*u, -3*j - 85 = -5*u. What is j rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 28*r + 494 = 22*r, 4*j - 430 = -r. Calculate the least common multiple of 1\/2 - 6\/(-4) and j.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rawasxaxarraaaaaar. Give prob of picking 2 x and 1 s.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t - 8*t + 3*t**2 + (3 - 2 + 2)*(-5*t**2 + 0*t**2 + 0*t**2).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-38) - 174930\/(-931). Suppose -5*h - 78*q + 79*q = 219, 4*h + m = 4*q. Does h = -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56483, 56484, 56481, 56474, 56463?\n\"Answer: -2*p**2 + 7*p + 56478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.351 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - t**2 - 6*t - 3*t**2 + 2*t**2 - t**2 + (t - 3*t + 7*t)*(-2*t + 1 - 1) - 6*t**2 + 4*t**2 + t**2 - 2*t**2 - 4 + 4.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 3 + 5*t**2 + 4*t - 6*t + t**2 - 23*t**3 - 8*t. List the prime factors of m(-4).\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2. Let c(u) = 2*u**2 + 42632208*u. What is c(x(p))?\nAnswer: 2*p**4 + 42632208*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 9*a**2 - 14*a - 6. Let h be u(-7). Is h at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 31850869816.\nAnswer: -31850869813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/((-25)\/(-5)))\/((-4)\/2). Let j = a - -4. Solve 5*k - 8*k - j = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 47*a**2 - 58 + 36 + 22.\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = 322 + 510. Let k(d) = d**3 - 6*d**2 + 2*d - 9. Let v be k(6). Suppose b = v*a + a. What is the least common multiple of a and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*s = 2*s - 36, -3*q = 4*s - 130. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 - 1 + i**3 + 3*i**3 + 7*i**3 as s*i**3 + z*i**2 + y + u*i and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2101030134?\nAnswer: -2101030131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 24*j**2 + 2*j - 23. Let c be x(12). Which is smaller: -2\/993 or c?\nAnswer: -2\/993","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-108))\/(2\/(-1*10))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 12. Let x be c(-8). Is 19 a factor of -2 - 3 - -5 - x\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - 2*h)*(-4 - 1 + 6)*(5 - 1 - 2).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 3*v - 13. Let u be o(-6). Which is the second smallest value? (a) 0.2 (b) -2\/5 (c) -1\/4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5690 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 - (-4 + -20 + 32).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9123.856 weeks?\nAnswer: 5518108108800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/792 and 49\/8011179?\nAnswer: 64089432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (49 - (-8 - -12)) + -6 - (-30 - -29).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -20. Suppose 0 = 4*l + 23 + 5. Let x be (-80)\/182 - 2\/l. Sort 2\/7, x, b in increasing order.\nAnswer: b, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560221.\nAnswer: 13, 120017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/4 - 1305*b**2\/2 - 1840773*b\/4 = 0. What is b?\nAnswer: -461, 0, 1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, f: 2, i: 1, p: 1, t: 3}. Give prob of sequence tt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4628017773.\nAnswer: 3, 1523, 337639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbivssibbrbvb. Give prob of picking 2 b and 1 s.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -105 + (-1 - 5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 2*r + 16. Let o be i(-10). Let f = -100 + o. Let v = -11 - -9. Which is the nearest to 3\/4? (a) f (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:30 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*z**5 + 10*z**3 + 165*z**2 + 12*z + 1 wrt z.\nAnswer: 9000*z**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 36*l**2 + 90*l - 297. Calculate c(-31).\nAnswer: 1718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1 + 2 + 5*k - k. Suppose -5*m + 2*m + 12 = 0. Let v be (-1)\/((m\/2)\/(-2)). Calculate a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*1\/(20\/(-15))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 2. Let b be 0 + 50\/6 - (-3)\/(-9). Solve t*o - b = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 14. Suppose 4*x = 5*b - 83, -2*b - 4*x = -3*b + j. Suppose -10 = -2*o + 2*s, 2*o + 2*s = -o + 20. Calculate the remainder when b is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/889 and -97\/140?\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32168000 rounded to the nearest one hundred thousand?\nAnswer: 32200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 5*z - 11. Let k be q(-16). Let y = k - 407. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -0*r + 2*r - 3*n, 2*r + n - 35 = 0. Suppose -3 = -q + 3. Suppose -w + 4 + q = 0. What is the remainder when r is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -617, -609, -581, -521, -417, -257?\n\"Answer: 2*v**3 - 2*v**2 - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tat when three letters picked without replacement from {t: 2, a: 1, d: 1, o: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1.1, -0.4, 5, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 20\/5)\/1. Which is the closest to 0.1? (a) 2\/13 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 17.1?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011407 to six decimal places.\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010 + -111011000010?\nAnswer: -111100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 21*t**2 - 132*t - 50. Let w be v(-26). Solve -6 = -w*m - 2*m - 5*g, 0 = -4*g - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -491419 + 0.05.\nAnswer: -491418.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 7. Let i be u(3). Suppose 0 = i*f + 2*p + 99202, -2*f + 0*p = -2*p + 49598. What is f rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 17*l + 9)*(l**2 + 2*l**2 - 2*l**2 + (-4*l + l + l)*(2*l + 2*l - 6*l)) + 3*l**3 - 4*l**3 - l**3.\nAnswer: -87*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:01 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -744\/5, 1453, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 13*o - 7*o - 3*o. Let r(f) = -f + 14. Let t be r(10). Let h(w) = 9 + 8 - 17 + t*w. Give m(h(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-588)\/16)*-3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.282 + -28.982. Which is the biggest value? (a) -17 (b) v (c) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-72))\/(5\/(-30)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c. Let w be p(0). Does 1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/369 and -20\/41.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 136 = -5*b, -b - 4*b = -3*t + 116. Suppose 4*q = -j + 61, -2*q = q + 2*j - 52. Calculate the highest common divisor of q and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(425)*5)*1 - (3 + sqrt(425)*3 - -5*(sqrt(425) + 0))**2.\nAnswer: -27210 - 190*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263647 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -21. Let z(a) be the first derivative of 0*a + 2\/9*a**3 - 2\/15*a**5 - k + 1\/3*a**4 - 2\/3*a**2. Factor z(s).\nAnswer: -2*s*(s - 2)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 6*q**2 - 3*q + 3. Let u be n(6). Let z be (u\/5 + (0 - 1))*-5. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27957, 27920, 27843, 27714, 27521?\nAnswer: 27252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 12*s + 5. Let v be n(12). Suppose -9 = -v*g - 29. Let q be (-220)\/121 - 2\/11. Sort q, -0.19, g.\nAnswer: g, q, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-1192)\/4321*29)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42371, 42574, 42777, 42980, 43183?\nAnswer: 43386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -37) + -38 + (0 - 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -90*b + 1966. What is u(22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368682?\nAnswer: 2, 3, 43, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125576630, 125576629, 125576628?\nAnswer: 125576627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*s*v**2 - s*v*x + 27*s*v - 2*s - 2*v**2*x + 3282*v*x + 1 wrt x?\nAnswer: -s*v - 2*v**2 + 3282*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 2805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -484, -457?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**3 + 5*c**2 - 5*c - 2. Let k be w(4). Suppose 5*q - 2*y - k = 0, -y = y. Is 38 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/3 - b - 2. Let k(f) = -4*f**2 - f - 1. Suppose -2*t + 84 = -c + 91, -35 = -5*t - 8*c. Calculate t*k(s) + 2*z(s).\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let x be v(-3). Suppose l = -x*l. Let q be 4 - (3 + -1 + l). Solve -y = 5 - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - -77. Calculate the highest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x - 4*d + 14, 0 = 5*d - 5. Suppose -4*z - 124 = -x*i, 2*z = -15*i + 13*i + 100. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126.7 - -119. Let i = -8 - h. Which is the biggest value? (a) 4 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/1960*182*-14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 + 242. Let r be y\/208 - 9\/(-72). Factor -2\/13*w**3 + 0*w**2 + r*w + 0.\nAnswer: -2*w*(w - 1)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515829 - 5265.\nAnswer: -1521094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -0.2. Suppose r - 3*s = 8, r + 602*s = 598*s - 13. Which is the nearest to r? (a) k (b) 2\/7 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + 57*v**2 - v - 3 + 49*v**2 + 2*v**3 - 104*v**2 as g*v + o*v**2 + y + b*v**4 + n*v**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3295 - 0?\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1. Let f(u) = -u - 10. Let g(h) = -f(h) - 5*s(h). Let i(l) = l + 9. Suppose -45*w - 210 = -30*w. Let b be i(w). Calculate g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.001?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 27265.\nAnswer: -2\/27265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185023637, -5, -1 in descending order.\nAnswer: 185023637, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/14)\/(14\/(-49)). Suppose 3*r - 2*r + 4*p - 6 = 0, 4*r - 11 = -3*p. What is the third derivative of -3*d**r - d**4 - 3*d**4 - d**z + d**2 wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26010.7875ms?\nAnswer: 0.00030105078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69615 * -0.8\nAnswer: -55692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -466*d + 12033 + 5675 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 853538861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 4902133?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 1476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:55 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693203092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2002*i**2 + 35149 - 35149 - i)*(-4*i + 2*i + 0*i)*(-56 + 27 - 21).\nAnswer: -200200*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:40 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 257819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + 281*h**2 - 80*h - 75. Is p(-134) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 8:33 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23 - 0) + 2\/(-2). Let w = -61 - t. Let g = w + 52. Solve -8*v + 11 = 2*j - 3*v, -5*v + g = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19156, 47116, 75076, 103036?\nAnswer: 130996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180)*1*-5*-5)**2*-3.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 12, 17, 50, 123, 248, 437, 702?\n\"Answer: 2*n**3 - 4*n**2 - 13*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f = 3*c - 5, -4*c + 4*f = -28. Let d(j) = -j**3 + 7*j**2 - 5*j + 6. Let m be d(6). Solve -4*t - 4 = -3*z + c*z, 5*t - m = -3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**4 + 711505*g**2 + 9016586 with respect to g.\nAnswer: 20*g**3 + 1423010*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 419146, 1676693, 3772600, 6706861, 10479470, 15090421?\n\"Answer: -g**3 + 419186*g**2 - 4*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - 38*p**2 - 660*p + 885. Give o(22).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 6 - 7. Solve -4*n + t = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*a = 376, -3*a - 16 = -1. What is the remainder when i is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c + 42. Calculate a(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54 - 1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01410246327 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186 - -199. What is the remainder when 101 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -1021*g**4 - g**2\/2 - 641*g + 1360. What is the second derivative of h(u) wrt u?\nAnswer: -24504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1030 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 30 = -2*p, -5*p - 5*y = -49 - 16. Suppose 0 = -14*g + p*g + 35489370. Let b = -4629790 - g. Round b to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 717, 1240, 2673, 5472, 10093, 16992, 26625?\n\"Answer: 76*z**3 - z**2 - 6*z + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(120)*2)\/sqrt(10))\/(sqrt(28)\/(sqrt(700)*-3))*6.\nAnswer: 1800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i**(-5)*i)\/i)*i)\/i**(10\/9)*(i**1*i)**(-1\/7) assuming i is positive.\nAnswer: i**(416\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 113*r - 871. Let j be k(8). Solve -j = 10*p - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2316480 and 28594050.\nAnswer: 915009600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 3. Suppose 6*t = 2*t + 60. Suppose -5*u - j = -6*j, 4*u + t = -j. Give d(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16859450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, s: 1, m: 1}. What is prob of sequence sm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) -2 (d) -221\/4 (e) -0.3 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*z**4 + l**2*z - 6*l**2 - 10*z**4 wrt z.\nAnswer: -36*l**2*z**2 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 + 2*q**3 + 8*q**3 + 11 + 24*q wrt q?\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*s - 69*s + 31*s to the form d + w*s and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 30*h**2 - 36*h + 546. Let x be b(15). Solve -8*r + x = 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (35 - (20 + 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 40 + 82 + 3*a - 19. Calculate s(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 219705*q\/2 - 48270287025\/4.\nAnswer: -(q + 219705)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 74880 divided by -14976\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.46393 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 168.2083 millilitres?\nAnswer: 0.1682083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 18*f**2 + 129*f + 57. Calculate w(-13).\nAnswer: 1929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-16 - -12) + (0 - -8) + 4 + 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -189332625576 plus -3?\nAnswer: -189332625579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*r - 56, -2139*h + 4280*h - 3*r = 2143*h - 85 + 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/2 + -4)*-520. Suppose 7782 = 122*j - 17263 - 6797. Which is bigger: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1)**2 + 1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.041 + 509.959. Let n = c - 509.6. Let t = -3 + 1. What is the third biggest value in 1, n, t, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 89, 2, -4, 4, -175, -759 in increasing order.\nAnswer: -759, -175, -5, -4, 2, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 10*b + 7. Suppose 15 = 5*y, 0*t - y = 2*t - 43. Let m = t - 0. Calculate the least common multiple of o(9) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -393*u**3 - 111*u + 1129*u**3 - 369*u**3 + 54 - u**4 - 368*u**3 + 59*u**2 = 0. Calculate u.\nAnswer: -9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193825, -387651, -581469, -775279?\nAnswer: -969081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103.85 - 104.15. What is the third smallest value in -13, x, 2\/23, 4\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2)*(-4032 + (-154)\/(-11)).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-7))\/((-92)\/644). Find the common denominator of 1992\/(-912) - (-2 - j) and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 166 = 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 8*z + 13. Let u be s(6). What is the nearest to 1 in 1\/7, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259606471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -3, -1\/7, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -142.37.\nAnswer: 284.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1384 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -73. Suppose -a - 4*t + 24 = 0, 0*a + t = a - i. Suppose 0 = -a*h + h + 147. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raz when three letters picked without replacement from zannzhnzznlnzlr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 7*g**4\/24 - 17*g**3\/6 - 8*g**2. Let h be q(-7). Let a be h\/(-4) - (-6)\/(-4). What is a rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -69*y**2 - 10*y - 60. Let k(f) = -38*f**2 - 6*f - 31. Give -7*k(h) + 4*x(h).\nAnswer: -10*h**2 + 2*h - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 6*r - 3*r. Calculate the remainder when 220 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {u: 9, z: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 2. Let h(g) = g**2 + 7*g + 11. What is h(q) - 3*v(q)?\nAnswer: q**2 + 4*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 14 = 3*u + j, j - 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, v: 1, s: 1, o: 1, m: 2}. Give prob of picking 1 m and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49092*-666.\nAnswer: 32695272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 5) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 0 + 4 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**4 + 144*y**3 + 1260*y**2 - 2216*y - 8256 = 0?\nAnswer: -8, -2, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-99)\/(-9) - -1255 - 1?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) -1411 (c) -0.133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 1830*b - 1828*b - 9 = 0, -5*b = -4*n + 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 1}. What is prob of sequence ow?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 1, f: 1, l: 4, a: 1}. Give prob of picking 1 a, 1 b, and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1999242 and 11\/4633164?\nAnswer: 291889332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*w + 3070 = -2*r, -2*w = r + 1530. Round r to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 7 - 31. Suppose 0*q = -2*q + 4, -z*q = -y - 5. Find the first derivative of -10 + 177*l - y - 185*l wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -3*q**4\/10 + 4*q**3\/15 + q**2\/5 - 20. Factor f(v).\nAnswer: -2*v*(v - 1)*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1342421320 (base 5) to base 2\nAnswer: 1101010010010001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = -856 + 1016 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/20 + (-9 - -2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 188*o + 2665. Give u(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiiiiiiiiiiilliili. Give prob of sequence iii.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (2 - 3) - (-11 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1*(-2)\/5. Suppose -23*x + z = -19*x - y, -3*y = 6. Suppose 0 = -f + 4 - 1. Solve -3 = f*g - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m - 1. Let q(d) = 3*d - 2*d - 10 - 5*d + 3*d. Let u be q(-9). Determine r(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.057 * -5360.9.\nAnswer: 305.5713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = 2*z + 5*u, z + 3 = -5*u. Solve -4*m = 4*i + 7 + 9, -11 = z*m + 5*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -134?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 2. What is the closest to -1 in j, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*q**2 + 1382*b**3*q - 148*b**2*q**2 - 3*b**2 wrt b.\nAnswer: -6*q**2 + 8292*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*m + 6 = 0, 11*m = 10*m + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34418, 137634, 309656, 550484, 860118, 1238558?\n\"Answer: 34403*g**2 + 7*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 571*b**5*j - 2*b**4*q + 15*b**2*j*q - 18*b*j*q + 3*b wrt b.\nAnswer: 34260*b**2*j - 48*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 65*c - 3609 - 1268*c + 144*c**2 + 3793 - 383*c + 6592.\nAnswer: -4*(c - 14)*(c - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1407 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 81707930 to the nearest ten thousand.\nAnswer: 81710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 11\/((-33)\/(-17904)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56087.61 less than 16457.45?\nAnswer: 72545.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1507.703nm?\nAnswer: 0.000001507703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Let u(q) = -3*q + 12. Let h(s) = 6*s + s - 8 - 5*s. Let b(g) = -7*h(g) - 5*u(g). Determine b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/531 and -151\/354?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g - 12. Let b be k(0). Is 9 a factor of (-34)\/(51\/b + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6)\/(-1) - (4035\/105 - 33).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -18. Which is the closest to o? (a) -2 (b) -0.15 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436736146 rounded to the nearest 100000?\nAnswer: 1436700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -145*m**2 + 9*m + 13. Let t(y) = -72*y**2 + 4*y + 6. What is -4*n(j) + 9*t(j)?\nAnswer: -68*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -17, -50, -111, -212, -365, -582?\n\"Answer: -2*z**3 + 4*z**2 - 15*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336619 divided by 4261.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - 5*b + 5*b + (1 + 2 - 5)*(2*b**3 + 4*b**3 - 4*b**3) + 0*b**3 - b**3 + 3*b**3 + (3*b + 0*b - b)*(5 - 2*b**2 - 5).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*w + 162*w = -495*w - 13275 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 581058 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 900, 892, 894, 912, 952, 1020, 1122, 1264?\n\"Answer: i**3 - i**2 - 12*i + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + z = -4*p + 4*p - 4*z + 68 - 89, 0 = 3*z for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:50 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 14*m - 51. Suppose -3*z - 9 - 42 = 0. Let q be b(z). Solve -3*d = 6 - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529018 is divided by 19359.\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 8510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 - 106*m\/11 - 336\/11.\nAnswer: 2*(m - 56)*(m + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27\/7 (b) -0.1 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 35. Calculate l(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3023 + -30412041?\nAnswer: -30404013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202819261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 10857098.\nAnswer: -10857093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040549 rounded to 5 decimal places?\nAnswer: 0.00405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18125.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p**3 + 4508*p**2 - 283250*p + 125000 = 0. Calculate p.\nAnswer: 4\/9, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0 - 1 + 0)*(2143*k - 858*k - 396*k).\nAnswer: -1778*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13042 is divided by 379?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 + 11)*(1\/(-2))\/1. Solve -4*w + x = -z*x + 15, 0 = -2*w + 5*x - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4258*q = -4270*q. Solve q = -23*u + 7*u + 64 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/3 - 6*s**2 - 227. What is l in y(l) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 1. Suppose -5*p + 10 = -0. Suppose 4 + p = -2*n. Let k(s) = s**3 - 4*s - 4. Give n*k(o) - 12*y(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252616.\nAnswer: 2, 7, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 79795161.\nAnswer: -398975805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 + 2*b**2 + 6*b - 4. Let w(h) = -h**3 - 2*h**2 - h - 3. Let o(v) = 2*w(v) - x(v). Calculate o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8375*f - 8336*f + 273 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 5*d**3\/6 - 19*d**2\/2 - 520*d. What is j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvwnvwjwvjjjvw. What is prob of sequence av?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 72114.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvvvwvv. What is prob of picking 4 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/(-10))\/(6\/(-15)). Suppose o*q - 170 = -170. Factor 11\/3*w**2 + q + 2\/3*w + 7*w**3 + 17\/3*w**4 + 5\/3*w**5.\nAnswer: w*(w + 1)**3*(5*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5387*l**4 - 2*l**3 - 47*l**2 + 2*l + 46 wrt l?\nAnswer: -129288*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/6 - t**3\/6 + 3*t**2\/2 + 1. Let w(l) be the second derivative of y(l). Find the first derivative of w(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(112)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 30342.7.\nAnswer: 9102.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 171*m + 4. Is n(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:29 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-2)\/(-6). Suppose -2*s = -7*s + 3*i + 27, -3*s + i + 17 = m. Let t(b) = -b**3 + 2*b**2 + 2. What is the remainder when s is divided by t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22797 = -2919*y + 8202 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/621224 and -9\/32.\nAnswer: 2484896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 607393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/20 + 2*d**4\/3 + d**3\/6 + 4461*d. Give c(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4, 690 in increasing order.\nAnswer: -5, 3, 4, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**30*((v\/(v\/v**(-5)))\/v)\/(v\/v**(2\/9)) assuming v is positive.\nAnswer: v**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2874 less than 665?\nAnswer: 3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*r - 1286 + 46 = 14*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1053*f**3 - 2*f**2 + 2*f + 89. Let t(r) = 3157*r**3 + 7*r**2 - 7*r - 268. Let u(y) = 2*t(y) + 7*z(y). Differentiate u(w) wrt w.\nAnswer: -3171*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 2*r**3\/3 - 2*r**2 + 4*r. Suppose 8*w + 49 - 105 = 0. What is the tens digit of n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let v(w) = -17*w + 8. Let j(s) = s - 1. Let a(i) = y*j(i) - v(i). Differentiate a(o) wrt o.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 4*l**2 - 3*l - 1. Let c be j(-2). Let t(a) = a**3 + 5*a**2 - 3. Give t(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 5*f - 459. Suppose -f = -2*y - y. Suppose 2*d = 4*n - 42, -4*n + 0*d - 2*d = -y. 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 the ten thousands digit of 36445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + (sqrt(70) + sqrt(70)*1)*-6 + sqrt(70) + sqrt(70))*-5)\/(1*sqrt(490)*-1).\nAnswer: -40*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 97900?\nAnswer: -97900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*m - m = -22, 5*m + 7 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 2*b**2 - 3*b - 8*b**3 + 9*b**3)*(-16 + 16 - 16*b**2).\nAnswer: -16*b**5 + 112*b**4 + 48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 12) in base 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-174)\/21 - 6\/(-21). Let x = f + -98. Let v = 169 + x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - 1*sqrt(64) - sqrt(64))\/sqrt(4))\/(5*sqrt(8)*-1).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57960316 is divided by 14490079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w. Let f(u) = 646*u**2. What is p(f(x))?\nAnswer: -3876*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + (-10 - -2) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25464891.\nAnswer: 3, 67, 126691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57 and -529?\nAnswer: -30153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(2 + 28\/(-12)). Suppose 14*y = z*y + 1190. Suppose y = 4*o - 2*f, -5*f = -3*o - 0*f + 196. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/255*(-5)\/6. Let t = -3 + 2. Which is the nearest to t? (a) 0.3 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*o + 213 - 67, 4*k = 8. Let i = 60 - o. What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30406789*h**5 - 21500814*h?\nAnswer: -608135780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 3*x**2 - x + 1. Let b = 191 - 184. Suppose -b*q = 28 - 14. Calculate v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 48 = -29*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 887\/44 + -77\/4. Factor 2\/11 - 6\/11*l**3 - i*l + 14\/11*l**2.\nAnswer: -2*(l - 1)**2*(3*l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5452778, 5452779, 5452780, 5452781?\n\"Answer: l + 5452777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y = 569 - 713 + 1629 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18566304 or 18566305?\nAnswer: 18566304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32968837?\nAnswer: 11, 983, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.9 + 35. Is t <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 71\/3*f**3 - 81\/4*f**4 + 0*f**2 - 1\/5*f**5 + 88 + 0*f. What is the third derivative of u(c) wrt c?\nAnswer: -24*c - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (81\/(-4))\/(409\/(-11452)). Solve 558*g - 72 = w*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15239820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30182*m - 20587 wrt m?\nAnswer: 30182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 478c13 (base 16) in base 12?\nAnswer: 16a15ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q. Let i be (-1 + 1)*7\/(-21). Let w = i - q. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o**2 - 48*o + 16. Let i(q) = -2*q. Let s(h) = -24*i(h) + l(h). Let y(j) = 1. Let k be (-2)\/8 + (285\/(-76))\/(-3). Give k*s(r) - 16*y(r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + 283 - 27 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -104.98075 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85539 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**3\/6 + 5*r**2. Let g(b) = -5 - b - 3 + 4. Determine g(z) - 2*t(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t + t)*(-2 + 0 - 5).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/49 and -71\/1225.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)*y*y**7)\/(y**(-8)\/y*(y**5\/y)\/y*y) assuming y is positive.\nAnswer: y**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 623932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 12*g - g + 2 - 1 as b*g + x and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 236 = -180. Solve -3*u = -3*f - u - 13, -5*f - n*u = 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/7)\/(z\/(z*z\/z**(-1\/3)*z)*z)*(z**(-1))**(-2\/29)*((z\/z**1)**(-8))**(2\/51) assuming z is positive.\nAnswer: z**(1202\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 11*j = 9. What is the common denominator of -69\/4 and 113\/(-132) - (-4 - 11\/j)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/17690 and -9\/2440.\nAnswer: 70760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 t when three letters picked without replacement from dttltjtllljtt.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4169 = a - 1130. Suppose 4*j + 6*v + 4378 = 0, 0 = -9*v + 12*v + 9. Let c = j - a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2760 and -103\/576.\nAnswer: 66240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 576 = -132. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)*3*(-26)\/52. Solve 0 = r*b - 7 + 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2 + (-1 - 5 + 4)*(-2 - 2 + 2))*(-51733*i + 28847*i + 8523*i - 84192*i) in the form p*i + u and give p.\nAnswer: -295665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16)\/(p*p*p**(4\/15)))\/((p**(-5)*p)\/((p\/(p*p**(3\/2)*p))\/p*p)) assuming p is positive.\nAnswer: p**(-503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 420787071 divided by 4836633\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 74599607.4 to the nearest one million.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4769*a**3 + 9986*a**3 - 5970*a**3.\nAnswer: -753*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3*s + 14. Let q be g(4). Solve 4*d - 14 = -q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = -10. What is the smallest common multiple of a and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(((-208)\/(-6))\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307?\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 129, 169, 119, -21?\n\"Answer: -45*p**2 + 175*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783617.\nAnswer: 3, 11, 54049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + -3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209380932 by -4.\nAnswer: -52345233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6155, 6156, 6157, 6158, 6159, 6160?\n\"Answer: v + 6154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 1787.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 h, and 1 l when four letters picked without replacement from {r: 1, u: 1, d: 2, h: 1, l: 1, x: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -42. Suppose 2*a - 5*n + x = 0, 0 = -a - a + 4*n - 12. Suppose a = -4*j - 0*w + 3*w, 5*j = -w. Solve -5*i - 7 - 18 = j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3915803, 3915805, 3915807?\n\"Answer: 2*r + 3915801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -13.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12550.3786 to the nearest ten.\nAnswer: -12550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 9 (b) 0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 129. Let v(a) = -2*a**3 + 68*a**2 - 73*a - 33. Is v(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 greater than 22958\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-13) + (-2)\/(-1). Differentiate 4*o**4 - 17*o**4 - 27 + 30*o**t with respect to o.\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y - 9*y - 9 + 15*y**2 + 2*y. Let k(f) = -7*f**2 + 8*f + 4. Determine 6*h(i) + 13*k(i).\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 2032*n**2 + 28026*n - 30060.\nAnswer: 2*(n - 1)*(n + 15)*(n + 1002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -8, -3*c + 3*u - 971 = -7997. Is c a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doho when four letters picked without replacement from {o: 2, h: 1, r: 1, v: 4, d: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356 - 306.1. Let d = -50 + k. Let a = d - -0.09999863. Round a to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 4*u**2 - u + 2. Let d be v(4). Let w be -8*(1 - (-15)\/16)\/(16\/(-64)). Are d and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267915 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k - 33. Suppose -25 + 62 = -21*a - 47. Give y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -39. Suppose -5*r - 1 = t*o, -6*o = -3*o + 12. Solve -r*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-3)\/sqrt(3) - (-2 + sqrt(1331)*2 + sqrt(1331))) + -1.\nAnswer: -39*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 + 162*q - 4*q**3 + 2*q**3 - 12 - 152*q = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -14130193.71?\nAnswer: -14130194.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/4, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q**2 + 0 + 57*q**2 - 24*q**3 - 72*q + 3*q**4 - 2 + 29 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + -0.15. Let k = 0.15 + r. What is the closest to 0 in 5, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q - 148 - 4. Let h(p) = -p**2 - 8*p - 2. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 - 45\/55. Let g be (2\/2)\/(c\/(-83)). Suppose 3*t = -2*b + 5*b + 78, 3*t - g = 4*b. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4\/7 - 12724*d**3\/7 + 290340*d**2\/7 + 618868*d\/7 + 315800\/7 = 0. What is d?\nAnswer: -1, 25, 3158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231904.293 rounded to the nearest 10?\nAnswer: 231900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34985*d**3 - 11*d**2 - 1352985 with respect to d.\nAnswer: -104955*d**2 - 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + x - 139, -4*x - 313 = -4*u + x. Let p = 160 - 56. Calculate the smallest common multiple of p and u.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8454.985 minutes in nanoseconds?\nAnswer: 507299100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from jfjdjbrhhbfjj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 65*s**2 + 538*s - 15. Calculate n(7).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(77\/66))\/(27\/(-14))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (99 - 98 - (-3 + -3 - 2)) + 8 - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.8 and -0.03.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25544 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.157 + -0.043. Which is the second smallest value? (a) -4 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*w**4 + 4 + (-2*w**3 + 1 - 1)*(4*w - 3*w + w) - 24*w**4 - 6060 + 5*w**4 + 6055 + (-2 + 5 - 2)*(0*w**4 - 2*w**4 + 4*w**4).\nAnswer: -23*w**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 divided by 12?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1199 divide 3427269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2180682 divided by 726894\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 - 44*p**2 - 44*p**2.\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/438 + 6\/73. Which is the closest to -115? (a) 0.2 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(sqrt(17) + sqrt(17)*-3) + 5 - ((sqrt(272)*3)**2 + 4))*2.\nAnswer: -4894 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4114 - 33326?\nAnswer: -40443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-21)\/(-42)*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, -123 in descending order.\nAnswer: -2, -21, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 764169327 and -1.\nAnswer: -764169327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -16*p + 88. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3922.08 + -171?\nAnswer: 3751.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*x**3 + 962*x**3 + 136*x**2 - 134*x**2 + 1233*x**3.\nAnswer: 3027*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, g: 5, l: 3, a: 1}. Give prob of picking 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 2 i when four letters picked without replacement from tyrittiyti.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**3 - 9*o**2 + o - 15. Let a(n) = -2*n**3 - 2*n**2 - 3. Give -11*a(m) + 2*u(m).\nAnswer: 2*m**3 + 4*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82 - 22 - -1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 106 + (-4 - 2 - -4). Calculate the highest common factor of 52 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.402 - 0.902. Which is the closest to 2\/11? (a) -0.1 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 19*g**2 + 40*g + 302. Give j(-19).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 37*i**2 + 1525*i + 288795. Let l(n) = -22*n**2 - 763*n - 144397. Let q(s) = 10*l(s) + 6*y(s). Factor q(x).\nAnswer: 2*(x + 380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -11. Let k be (2\/6 + 0\/6)*t. Find the third derivative of -96*u**6 - 97*u**k + 3*u**2 + 8*u**2 + 183*u**6 wrt u.\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 20, 0, 1\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 840, 1655, 2456, 3237, 3992, 4715?\n\"Answer: -n**3 - n**2 + 825*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43969*n - 43963*n - 43972*n + 131904*n + 25*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -9*k + 2. Suppose 11 = -r + 3*s, -s - 1 - k = r. Find the common denominator of 3 + (-737)\/84 - r\/(-35) and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 24*p**2\/5 + 22*p\/5.\nAnswer: 2*p*(p - 11)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-3)\/(-6)*7\/(-14). Suppose -10*t + 4760 = -n*t. Suppose 5*w - v = t, w - 6*w - 2*v = -473. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 13179440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009598 rounded to six dps?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5519982368 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 71*j**2 + 435*j - 25. Determine o(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 2:22 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1225 and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b - 3 - 5 + 1 - 2 + b**2. What is the remainder when 41 is divided by k(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**2 - 2*u + 81. Let i(o) = -2*o**2 + 5. Calculate h(m) - 6*i(m).\nAnswer: -m**2 - 2*m + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265720 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h)\/h)**17*(h**(-2\/15))**(-32) assuming h is positive.\nAnswer: h**(-1466\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 273588 divided by 461\nAnswer: 273588\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + ((-3 + sqrt(468))*3 - sqrt(468))**2.\nAnswer: -210*sqrt(13) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - 6) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173460341 to the nearest integer?\nAnswer: 13170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from sbsqbbsb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104153356 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5953 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(-2 + 55\/(-22) - -5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 2*m**3 - 3*m**3 + (-4*m**2 + 7 - 7)*(-2 + 2 + 2*m) + 2*m**3 + 3*m - 3*m)*(-3 - 11 + 3).\nAnswer: 99*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (138\/(-30) - (2 + -6))*10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4702*p + 4702*p + 37*p**2 - 4*p**2.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(432) + -2*2*sqrt(432)) + -3)*-4)**2*3.\nAnswer: 10368*sqrt(3) + 187056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, g: 1, h: 2, c: 1, s: 2}. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145376 - 88155. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108 and 19.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -18*w + 234 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 18*y**2 - 18*y**2 - y**2 as w*y**2 + g + f*y and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 473*d**2 - d. Let s(f) = -768*f + 2. Calculate s(v(m)).\nAnswer: -363264*m**2 + 768*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 2262*g + 3*g**2 + g**2 - 2262*g - 2*g**3 + 6 + 5*g**4 to l*g**2 + t*g + d + c*g**4 + z*g**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 27. Let y be k(-11). Let o be ((-2)\/4)\/(2\/(-124)). Suppose 5 = 4*w - s - 18, y*w = 2*s + o. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Suppose n + 0 = m. Factor -4\/7 - 10\/7*t**m - 2*t.\nAnswer: -2*(t + 1)*(5*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8941.\nAnswer: 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 - 3. Let l(m) = -m**3 + 6*m**2 + 3*m + 4. Is l(w) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300250117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y - 41286000. Round y to the nearest 100000.\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9165 - 3549. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 38. Let t be z(-35). Let v be -3 + (-5566)\/(-888) + -3. Let w = v + -2\/111. What is the second biggest value in w, -2, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 974970 and 1551945?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.5 (b) 0.08 (c) 1 (d) 0 (e) 4 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22050*-20930\nAnswer: -461506500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 1. Let x = 412 + -416. Determine z(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111 + -1?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -59*t**3 + 3*t**2 + 3. Let w(z) = -z**3 + 18*z**2 + 29*z - 187. Let u be w(19). Let r(p) = 9734*p**3 - 496*p**2 - 496. What is u*r(q) + 496*d(q)?\nAnswer: -62*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 6153?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-52)\/(-14) - (-12)\/42. Sort 0, d, -1.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-6)*854\/(-196). Let n = 1\/160 + 1117\/480. Let d = a - n. Is d less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.54 + -5.5. Round i to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4561, -4542, -4523, -4504, -4485, -4466?\nAnswer: -4447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**6\/360 + 7*t**5\/120 - t**4\/3 + 7*t**3 + 24*t. Let k(m) be the second derivative of d(m). Give k(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - 19. Let q = i - -65. Calculate the lowest common multiple of q and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45538?\nAnswer: 2, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1\/2, -0.1, -16\/13, 1\/8, 18, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -10. Which is smaller: -11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-4)\/(-96)). Let h = 65 + -53. What is the greatest common factor of h and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*x = -452*x + 4*i + 7, 3*x + 4*i = 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9.5. Let y = 0.1788 + -2.7398. Let r = b + y. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 143 + 5*n - 6*n + n as c + y*n and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -2) + (7 - -2) + (-1 - 44)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0907678 millennia in months?\nAnswer: 1089.2136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 29\/30*q**4 - 4 + 2\/25*q**5 + 6\/5*q**2 - q + 31\/15*q**3. Factor x(o).\nAnswer: 2*(o + 1)*(o + 6)*(4*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*a - 196 = -23, 4*a = 3*j - 559. Suppose 0 = g + t - j, -2*t + 152 = 5*g - 744. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10419, -59, 58.\nAnswer: -10419, -59, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5541157 divided by 31?\nAnswer: -178747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/2 + 2380*d**2 - 436480*d.\nAnswer: -5*d*(d - 704)*(d - 248)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-25))\/j)\/(j*j**(-26\/7)) assuming j is positive.\nAnswer: j**(194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(108)\/(sqrt(120)\/sqrt(10)))\/((-1*sqrt(120))\/sqrt(10)))**2 + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 38?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m = 9. Suppose 0*d + 3*d - 30 = -m*j, -4*j - 2*d = -32. What is the third derivative of -2*b**j - 5*b**2 + 4*b**6 + 5*b**2 + b**2 wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 4*w**3 + 781*w**2 - 3*w**5 - 395*w**2 - w**3 + w**4 - 389*w**2.\nAnswer: -3*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + (21 - (1 - 10 - -20)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/10 - (-29)\/(-18). Let f be (-5)\/(-4) - 3\/12. Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/45)\/(3\/(1242\/(-24)*2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-683)\/(-1) + (7 - 8).\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 0*c**3 + 2*c**3 + (-4*c + 3*c + 0*c)*(2 + 2*c**2 - 2) - 3*c**3 + 3*c**3 + 15*c**3 + (-c**2 + 3*c**2 + 0*c**2)*(3*c - 2*c + c).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 - 10*y**2 - 23*y**2 - 5*y**2 + 25*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -25. Let c be (-24)\/a + -2*1. Suppose -4*n = -3*o, -4*n = -o - 4*o. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-52)\/16)\/((-12)\/(-80)). Let h(r) = 59*r + 39. What are the prime factors of h(g)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, -13, -37, -71, -115?\n\"Answer: -5*i**2 + i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 7*z**2 + 2 - 2*z + 3*z**3 + 243*z**4 - 242*z**4 + 7*z**3 as u*z**4 + a*z**2 + q + g*z**3 + w*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**4 - 7*a**3 + 6*a**2 - 4. Let c(n) = -n**4 - n**3 - 1. Let m(w) = 4*c(w) - u(w). Factor m(l).\nAnswer: 3*l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338197 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 62*x + 15. Let v be c(29). Sort -1, v, 2 in descending order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.5. Let u = -1.533 - 0.467. Which is the biggest value? (a) -2\/3 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3303100 + 11?\nAnswer: 3303111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 9*u**2 + 15*u + 7. What is d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7701744*h - 7701744*h + 6 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppllppp. Give prob of picking 1 p and 1 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12231243173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -5, -4, -2, 3, 3\/7 in decreasing order.\nAnswer: 3, 3\/7, -4\/3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 7749040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*x - 173, l + 195 = 5*x + 3*l. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -109*a**2 + 8 - 8 + 111*a**2. Let l(m) = 15*m**2 - 6. Determine l(u(d)).\nAnswer: 60*d**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180590921 rounded to the nearest 100000?\nAnswer: 180600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13 - 5*y - 5 - 51 - 3. Let r be u(-16). Solve -28 = -5*m - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 34755.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-884)\/22 - (-4)\/22. Does 16 divide m*(-1 + (2 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2237, -355, 1.\nAnswer: -2237, -355, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*m = -147*m + 2*t + 12, 2*t + 14 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + h**2)*(0 + 0 - 2*h) - 8*h + h**3 + 8*h + 2*h**3 - 3*h**3 + 5*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 4*y - 3*y - 8*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491cab (base 13) in base 6?\nAnswer: 101234015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 4*t - 17127 = 0. List the prime factors of t.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 86*y**2 + 73*y**2 + 25 - y**3 - 127*y**2 + 57*y. Is n(27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*f + 3, 1 = -3*v + 2*f - 3*f. Let o(q) be the second derivative of -1\/225*q**6 + 0*q**2 + 0 + 1\/75*q**5 + 0*q**4 + v*q**3 - 5*q. Factor o(g).\nAnswer: -2*g**3*(g - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -16*c**2. Let l(y) = -2*y**2 - 6*y + 12. Let u = 91 + -98. Let k(f) = -2*f**2 - 7*f + 14. Let h(m) = u*l(m) + 6*k(m). Determine a(h(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3696 is divided by 3678?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 at most 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 6 (b) -2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(12\/(-216)). Let m be 14\/(-2)*l\/(-9). Let h = 9 - m. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Let l be (4 + -4 - 1)*o. Let d = 97\/42 + 1\/42. Which is greater: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7133849?\nAnswer: 7133849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s + 1. Let x(j) = -j**3 + 2*j**2 + 11*j + 4. Let d be x(0). Let z(p) = -3*p**3 - 2*p**2 - 5*p - 4. Give d*a(c) + z(c).\nAnswer: c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sldldll. Give prob of picking 2 l and 1 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 13. Calculate the highest common divisor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)\/(l**(-4)\/l))\/((l*l**(-6))\/l**(10\/9)) assuming l is positive.\nAnswer: l**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**7\/2520 + i**6\/240 - i**5\/30 - 19*i**4\/12 - 2*i**2 + i - 37. Let p(f) be the third derivative of o(f). Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -47*l**2 + 344*l + 696. Let n(j) = 15*j**2. Let b(g) = 2*h(g) + 6*n(g). Solve b(t) = 0 for t.\nAnswer: -2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 51*w = 225 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 399 = 4*u, -18*u + 16*u = -5*a - 133. What is the smallest common multiple of u and 720?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*r - 12. Let z be -62*(-2)\/28 - (-6)\/(-14). Let b(v) = -4*v**r + 13*v - z*v + v - 3 + 3*v**2. What is b(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p**4\/2 - 69*p**3\/2 + 255*p**2\/2 + 393*p\/2 + 45 = 0 for p.\nAnswer: -5, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 24. Let k be ((-2)\/p)\/(8\/(-48)). Let o be ((-23)\/(-2))\/(1\/k). Calculate the greatest common factor of 207 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*z - 218 = 0, -6 - 4 = -5*z. Let b = j - -723. Does 59 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5330 divided by 1066\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7545886 divided by 328082\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 10, -2 in decreasing order.\nAnswer: 10, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1021 + -0.0721. Put -0.3, d, -0.1 in descending order.\nAnswer: d, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396128\/116 + (-24)\/(-696) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 6\/25, 1 in decreasing order.\nAnswer: 7, 3, 1, 6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 + 100*r**2 - 2117*r - 243. What is j(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 + b. Let x(i) = 162*i**3 + 4*i**2 - 4*i. Determine -4*d(o) - x(o).\nAnswer: -166*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067426?\nAnswer: 2, 533713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204 + 234. What is the greatest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1471, -1513, -1557, -1603, -1651, -1701?\n\"Answer: -j**2 - 39*j - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 328*z + 2184*z**2 + 341*z + 568*z - 2185*z**2 in the form g*z**2 + b + q*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -4 - (15 + (-5 - 25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1257553539\/7 and -179650505 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {i: 2, l: 1, n: 2, k: 1, w: 5, g: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3, 0 = -5*m + m - n + 17. Let g(v) = 1 - 4 - v**3 - 11*v + 0 - m*v**2 - 5*v**2. Is g(-9) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -40. Let a be 1 + (-144)\/((-8)\/m). Is a < -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47\/3 + -114\/7. Is n < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 719.4435.\nAnswer: 724.4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/24 + 5*q**2. Let x(c) be the third derivative of -7*c**4\/24 - c**2. Give x(i(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13976069 to the power of 1\/2, to the nearest integer?\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(594\/1287 - (-1413)\/(-273))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 0 + 30 = 0. Solve n*m + 20 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48902 divided by 14?\nAnswer: -3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 33*s - 35*s + 18748, -5*s - 9356 = -i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 38*l - 334. Let o be n(10). Solve -17*g + o + 22 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2.3. Let y = -47 - -48. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963 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: Work out 35.796 * 3545.\nAnswer: 126896.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725532625 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13610 divided by 71?\nAnswer: 13610\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by 511.\nAnswer: 169\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 10*d + 6. Suppose -d*u - u = -16. Let h = u + 40. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-30)*732\/854*10.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 494 = -204. Is 2\/123 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1047177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2933153467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25699\/6 - 4260. Let s be (1 - 0)\/(4\/32). Calculate the common denominator of (-4)\/30*642\/s and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:10 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16598675 at least 16598674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2297398 = -142*d + 2295836 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400601, -400670, -400805, -401006, -401273, -401606?\nAnswer: -402005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464409.9um to centimeters.\nAnswer: 46.44099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + 2*j)*(-5 + 1 + 7)*(-92 + 46 + 79).\nAnswer: 198*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 + i**3 - 3*i**3 + i**3 + 3*i**3 - 2*i**3 + i**3 - i**3 + 2*i**3 + (2*i - i - 2*i)*(-4*i**2 - 2*i**2 + 5*i**2) - i - 3*i**3 + i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntfefxj. What is prob of picking 1 j and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/13 (b) -4 (c) -5 (d) -1\/181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -220 + 241. Let r(q) = 6*q + 6. Let h be r(-4). Let v = s + h. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*j = 4*r - 5, 5*r - 3*j = 12. Suppose 0 = -0*b + r*b. Is (1 - b\/3)*59 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6902, -16055, -25208?\n\"Answer: -9153*f + 2251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 1. Let h(s) = -s + 139. Let u(p) = -2*p + 87. Let d(q) = -2*h(q) + 3*u(q). Give -d(b) - 6*v(b).\nAnswer: -2*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -206, 0.1, 1132?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 2*v**3 - 6*v**3 + (-4 + v + 4)*(0*v**2 + v**2 + v**2) - 4*v**3 + 2*v**3 + 3*v**3 + (1 - 1 + 4*v)*(v**2 - v**2 - 2*v**2).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -99*i - 1. Let f be d(1). Let h = f + 145. Suppose -5*t + h = -0*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 3*l**4 + 0*l**4)*(-2 - l + 2) + 4*l**5 + l**5 - 2*l**5 + 2*l**2 - 2*l**5 - 8*l**3 - 4*l**2 + 14*l**3.\nAnswer: -l**5 + 6*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7*c + 15 = 4*c, -4*c = -5*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**5\/30 - 9*y**2. Let n(f) be the first derivative of 0*f**2 + 1 - 1\/3*f**3 + 0*f. Determine d(n(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 2*r - r**3 + 0*r**3 + (-2 - 1 + 4)*(632*r**3 - 482*r**3 + 522*r**3) in the form h*r + n*r**2 + y + v*r**3 and give v.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 54554633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038369 to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 270 in 1.9, 0.1, -0.5, 0.5, -10.5, 1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4*g - 29315 = -5*o, 0 = 5*o - 2*g - 29312. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 47*i**6\/40 + 11*i**5\/6 - i**2 - 25*i. What is the third derivative of k(f) wrt f?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (49 - 1) + (0 - 0). Suppose -j = -2*b - b. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 170.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1284 = o + o, 4*c = 3*o - 1926. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-2 - sqrt(68)) + sqrt(68) - (sqrt(17) + sqrt(68))*-3.\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -a - 2*f, a = 2*f + 4. Suppose -a*k - 34 = -418. Let i be (-1 + 33\/(-3))*-1. What is the greatest common divisor of k and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 397 - 236. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10418 + -10408. Let d(g) = -9*g + 1. What is d(r)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 9*u - 243. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let b be (-6)\/9*(q + -2)*-1461. Suppose -b + 3619 = 5*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Suppose -i*f = 11 - 69. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 7. Let z be u(6). Suppose 0 = -0*q + 5*q - f - z, -2*q + 3*f = 3. Let t(w) = -w**3 + 7*w**2 - 5*w + 6. List the prime factors of t(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbdb when four letters picked without replacement from ydoybbz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(832\/300)*(-1)\/(-15)*-3?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let w(x) = 401*x. Calculate j(w(o)).\nAnswer: 401*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11320 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/6)\/((-15)\/10 - -2). Suppose 2*f + 6 = 2*x, 0 = 2*f + 15 - g. Let n(l) = 3*l**2 + 2*l - 1. Let b be n(1). What is the nearest to 1\/3 in -3\/2, x, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4967 - -4863. Do -105 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -98 (c) 4815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -4\/15 (c) -1\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(153) - (sqrt(153) + sqrt(153) + 0)) - (sqrt(153)*-1 - sqrt(153))*-1)*1*-6 + -5)**2.\nAnswer: -1188*sqrt(17) + 49693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (12 - 7)) + -4 - -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279005 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a + 9 = -178*a + j, 0 = a - 5*j + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + t = -x - 2, -5*x = 3*t + 14. Let n be ((-62)\/x)\/(8\/16). Let o = 64 - n. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u**(-15))**(-7) assuming u is positive.\nAnswer: u**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201078822 to the nearest integer?\nAnswer: 14180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110277 is divided by 27476?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848556169.\nAnswer: 509, 3631741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 29*x = 112. Let h = x - -170\/3. Which is the third smallest value? (a) 2 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469005042 to the power of 1\/2, to the nearest integer?\nAnswer: 21657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - w = -4, -3*w = 2*j - 0*j + 2. Let r = 23 - j. Let k = 31 - r. What is the remainder when 28 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(20\/120*(4 + -1)). Suppose z = 2*i + i - 1989, -t*i + 5*z + 2652 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(4 + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*u - 5*b = 40*u + 19, u = 15*b + 73 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009704876 rounded to 5 decimal places?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + 88. List the prime factors of v - 0\/(7 + -13).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 8*v - 5 - 3*v - 4*v**2. Let a(f) = 2*f**2 + 6*f - 6. Let m(o) = -o + 1. Let y(i) = -a(i) - 10*m(i). Determine 4*k(x) - 5*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -78*i - 46. Let a(r) = -26*r - 17. Give -7*a(k) + 2*t(k).\nAnswer: 26*k + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 2003?\nAnswer: 16\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + 2*(sqrt(700) + (sqrt(700) + -1*sqrt(700))*-4 - (sqrt(700) - -1*sqrt(700)*4)))**2 + -3.\nAnswer: 44797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14050404 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z + 16. Let g = z - 10. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/280)\/((-1)\/5). What is the third biggest value in r, 2, 4, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 59*b**3 - 7*b - 29. Let r(f) = 58*f**3 - 6*f - 29. Let i(m) = -6*r(m) + 5*u(m). Find the second derivative of i(z) wrt z.\nAnswer: -318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(18) + 0 + sqrt(432))**2.\nAnswer: 1369\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114\/371 - 14\/53. Which is the third smallest value? (a) -0.2 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*s + 4*c - 18, -5*s + 3*c - 17 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1, -526, 0.09, 0.3, 5, 0.04?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 2*h + 21 - 11, -2*h - 22 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 806751211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 16*n + 63. Let b be y(-6). Suppose -2*z - b = -3. Solve z = 3*j - 4*j, -j = -2*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.651 + -0.349. What is the biggest value in -1, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 1. Let p = 10.9 - 12. Let z = -1 - p. Which is the second biggest value? (a) 0 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:33 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/53910 and 139\/3594?\nAnswer: 53910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -16*g**4\/3 + 19*g**3\/6 + 4*g**2 + 265*g. What is the second derivative of s(n) wrt n?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - x = -106, 627*x - 623*x - 60 = -2*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6)\/r)\/r)\/(r*r*(r\/(r*r**7))\/r*r*r*r))**(-2\/53)*r**(-1)\/(r**(-3\/7)\/r)*r**(3\/4)*r\/(r**(1\/7)\/r) assuming r is positive.\nAnswer: r**(4729\/1484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7682*x + 4*n = 7684*x - 118, -n + 284 = 5*x for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000730373 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1671 is divided by 1611?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(24\/9)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.8 (b) 6 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12645 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 1 - 1 + (4*h - 3*h + h)*(-4 - 3 + 5) + 3*h + h - 5*h + (2 - 9 + 0)*(-3*h + 4 - 4)*(-2 + 3 - 3) + 5475*h - 21 - 24 - 5476*h.\nAnswer: -46*h - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 76*j - 261. Calculate the remainder when x(18) is divided by 76.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4666473 divided by -9\nAnswer: -518497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0 - (-10 - -14)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15584\/9 + -1730. Calculate the common denominator of j and (-8)\/25 - (2 + -1).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5\/4 - 9*w**4 + 141*w**3\/4 - 39*w**2 - 36*w + 48.\nAnswer: 3*(w - 4)**3*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214699, 429389, 644079, 858769, 1073459, 1288149?\nAnswer: 1502839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(78) - 2*sqrt(78))*-4 - (sqrt(78) + sqrt(78) + sqrt(78) + sqrt(78)*2)*4))\/((sqrt(336)\/sqrt(63))\/((sqrt(128) + sqrt(8))*2)).\nAnswer: 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 17288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 4*t = -20, -5*t - 122 = -4*l. Let u = -49 + l. Let z be (u\/7)\/(1\/2). Do -8 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*t - 11 = 9, f = t + 6. Which is smaller: f or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 29?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/4*w**4 + 17*w**3 - 867\/2*w**2 + 7*w + 0. Suppose y(p) = 0. What is p?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120750 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 14) in base 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)*58008\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4, -y - 4*f + 898 = -5*f. What is the common denominator of ((-752)\/y)\/(2\/(-4)) and -59\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 7. Suppose 81*u - 74*u = 49. Let w be g(u). Let y(f) = f**2 + f + 2. Give y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -6.5 (c) -9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:43 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -288, -412, -592, -846, -1192, -1648?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -11*x - 10. Let l(h) = 2*h**2 + h + 3. Let w be l(x). Suppose 4*q + 3*t + w = 0, 2*t + 15 = -3*t. Solve q = -0*y + 3*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(sqrt(209) + sqrt(209)*2 - sqrt(209)))\/((sqrt(121)*1*-2 + sqrt(121))\/sqrt(11)).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11088)\/(-2160) - 38\/10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.93 - -0.07. Let w = -7.4 - -8. Let k = -0.7 + w. Which is the closest to k? (a) -2\/9 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d66325 (base 14) to base 3.\nAnswer: 1000210100000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316 - -602. List the prime factors of l.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*f**2*l**3 + 417*f**2*l**2 - l**3 wrt l?\nAnswer: 144*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -894964 or -894837?\nAnswer: -894837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 75, 110, 143, 174, 203, 230?\n\"Answer: -f**2 + 40*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (6 - 4) - -30 - (0 - -5)) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than or equal to 1671\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*j + 1 + 67*j - 18*j**3 - 22*j**2 - 125*j wrt j.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2455*l - 3*t = -2458*l - 5*t + 3, 5*t = 2*l - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5590*s + 16. Let l(v) = 11699872*v + 33492. What is -8373*i(p) + 4*l(p)?\nAnswer: -5582*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 18, 3, -1, -224 in decreasing order.\nAnswer: 18, 6, 3, -1, -3, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 2*k**3\/3 + 44. Let y(i) = -15*i. Determine b(y(l)).\nAnswer: 450*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*6\/(-198))\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 0*y - 3 = -m, -9*m = -7*m + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2206 + -2206. Let x(z) be the second derivative of 9*z - 1\/4*z**4 + 0*z**3 + h*z**2 + 0. Let a(y) = -6*y**2. What is a(x(o))?\nAnswer: -54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/21)*p))**13*((p*p\/p**(2\/5)*p*p)\/p)\/(p*p*p**(3\/8)) assuming p is positive.\nAnswer: p**(1229\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102110 - 1222021?\nAnswer: -2101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 4, r: 1, p: 2, f: 3}. What is prob of sequence qfrq?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 276293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/603963 and -87\/19953148.\nAnswer: 538734996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 10. Let i be 2\/1 - 0 - 2. Suppose -4\/3*t - 2\/3*t**3 + i - 2*t**n = 0. Calculate t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111984 is divided by 2434.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1716 + -1713. Sort q, -16, -4, 3\/2 in decreasing order.\nAnswer: q, 3\/2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.6. Let b = -0.39922 + h. What is b rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 16*w**2 - 12*w - 85. Let n be q(17). Suppose n = 7*g - 11*g - 14*g. Which is bigger: g or 2\/285?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -558\/11 + 564\/11. Let k(s) = 2*s**3 - s**2 - s. Let p be k(-1). Let x be (p - (-2 - -1))*-1. Which is greater: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4352 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 5\/3*j**4 - 25\/42*j**7 + 0*j + 0 + 18*j**2 + 0*j**3 + 15\/112*j**8 + 3*j**5 - 1\/4*j**6. Find a, given that f(a) = 0.\nAnswer: -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/27)\/(57\/171))\/((-2)\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. Let r be (4\/(-6))\/(a\/(-6)). Put r, 4, -1 in ascending order.\nAnswer: -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46208 and 97831.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - -17 - (-184 + 205)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 18*h - 53220 = 0. Suppose 5*s + 2848 = 2*l, -s + h + 5400 = 5*l. What are the prime factors of l?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2451*m**2 - 2*m + 1302?\nAnswer: -4902*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/55)\/(-45*(-17)\/11781). Factor 52\/15 + j*y - 2\/3*y**2.\nAnswer: -2*(y - 13)*(5*y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 920*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -4\/5, -1 in decreasing order.\nAnswer: 5, -4\/5, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*o = -9499 + 10741 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 458137658?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22*z**2 - 3*z - 3. Let d be v(-2). Let p = 88 - d. Let y be (-15)\/p + (23 - -2). Calculate the greatest common divisor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -0.2, -1\/6, -2, 2.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -39025*t + 1728. Is b(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8)*-1)\/(17\/(-476)). Let u = 5 + -2. Suppose u*w - 4*f = 6, 4*w + 2*f = f + 8. Solve w*k = -2*y + 3*y - h, -3*y + 19 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9516*v + 85648. Calculate c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2))\/sqrt(5)*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwwwnnnwwnnwnlwwww. Give prob of sequence nn.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/38646 and 53\/16405227.\nAnswer: 32810454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -128.\nAnswer: -128, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/(16\/24). Which is smaller: l or -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5320800700 to the nearest 1000000.\nAnswer: -5321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.133, 2, -0.1, 13\/3, -1 in ascending order.\nAnswer: -1, -0.1, 0.133, 2, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 49. Let o = -16 - r. Solve o = -3*w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-85)\/(2\/6*(2 - 3)). Let g = -55 + c. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/22)\/(5\/10). Let m(s) = s**3 + 6*s**2 + 7*s + 6. Let c be m(-5). Let f = -779\/7 + 111. What is the biggest value in c, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**3*i*m + 13398*d**3*m + 2*d**3 + 38*d**2*i + 5*d*i*m + 119*d*i - i*m wrt d.\nAnswer: 18*i*m + 80388*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -475*a**2 + 463*a**2 - 52*a - 9 + 49 = 0?\nAnswer: -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -314300 (base 5) to base 16\nAnswer: -294f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (0 - -2)) + (17 - (4 - 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -24. Suppose z - 8 = g*z - 2*k, z + 2*k - 12 = 0. Suppose -7 - 95 = -z*i. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2433 is divided by 247.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1. Let v(w) be the second derivative of -w**4\/2 - 4*w**3\/3 - 2*w**2 - 7*w. Let c(h) = -v(h) - 4*z(h). What is the second derivative of c(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -18*a**5 + 6943008*a**4 + 9257368*a**3 + 3085792*a**2 = 0.\nAnswer: -2\/3, 0, 385724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {u: 1, k: 2, j: 1, e: 1, w: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 2432463*b\/5 - 2432462\/5.\nAnswer: -(b + 1)*(b + 2432462)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 4*r + 8. Let o be j(-6). Let y be (-6)\/o - (-30)\/(-20). Differentiate 2 - 3*b**2 - 2 - 2 + y with respect to b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 83*w**2 + w. Let k(f) = -f**3 + 2*f**2 + f + 1. What is -2*k(h) - n(h)?\nAnswer: -h**3 - 87*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = f + 117 + 361, -4*f = -t - 239. Let i = 351 + t. Let r be 29\/(-28) - (-32)\/i. Is r bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 359 or 712?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/6 + 5*b**2\/2 + 3*b. Let j be 1 + 1 + -2 + 5. Suppose 0 = k + x + 10, j*k - 5*x - 5 = k. Calculate f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252.78 + 253.18. Sort -0.4, 5, s, 3\/2, 20 in descending order.\nAnswer: 20, 5, 3\/2, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a50bccc - 5?\nAnswer: -a50c004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 0*d + d)*(1 - 3 + 3) + 6 + d - 6 + 2 + 3*d - 2 + d - 4*d + 0*d)*(5*d - 3*d + d + (1 - 1 + 1)*(0 + 0 + 2*d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.39 + -2.89. Let l = 5.05 + -0.05. Which is the closest to 1? (a) l (b) j (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 22. What is the tens digit of i + -1 + 3 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + -3.19948. What is x rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bd - 8435?\nAnswer: -8703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 9. Let a be f(4). Suppose 0 = 2*g - 4*i - 12, g + a*g = -4*i. Solve 0 = g*z + z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65143369 a multiple of 1581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2540, -8, -3, 13, 4, -1 in increasing order.\nAnswer: -2540, -8, -3, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 2548?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.61571 and -1325.36.\nAnswer: -1327.97571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 9, -12, -71, -180, -351, -596?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*f - 10, 2 + 4 = -3*f. Suppose 0 = -2*y - 3*v - 8 - 12, 2*y + b*v = -24. Let i(l) = -l**2 - 7*l - 5. Calculate i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 53*z**3 - 13*z**2 - 2*z. Let a(r) = -29*r**3 + 7*r**2 + r. Let d(k) = 11*a(k) + 6*g(k). Let j(b) = 12*b**3 + 5*b**2 + 5*b. Give -10*d(f) - 2*j(f).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**2 - 5*t - 4. Let q(s) = -7*s**2 - 7*s + 9. Let v(x) = -5*x**2 - 5*x + 7. Let h(o) = -3*q(o) + 4*v(o). Give -a(g) - 3*h(g).\nAnswer: 3*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 569.3 - 569. Let r(x) = 3*x - 2. Let f be r(4). What is the third biggest value in p, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -143*a**2 - 4*a - 2. Let v(o) = 286*o**2 + 10*o + 2. Determine 7*n(w) + 3*v(w).\nAnswer: -143*w**2 + 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -11*f - 44. Let m be f + 7 - (2 + -5). Suppose -4*b = -m, -5*v + 3*b = b - 63. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (0 + 3)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7786*k - 7786*k - 48*k**2 - 61*k**3 + 64*k**2.\nAnswer: -61*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*s**5 + 3400*s**4 + 6110*s**3 - 350960*s**2 + 1023225*s + 441000 = 0. Calculate s.\nAnswer: -21, -8\/21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(2 + 16\/(-6)). Let u = b + 11. Suppose y - u = -4*n, 0 = -5*y - 2*n + 105 - 24. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 + 111 = 3*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10) - 11\/((-220)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6958 + -6955.217. What is u rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 567.10908ms?\nAnswer: 0.0000065637625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.36202 + -43.244. Let r = 0.88 + x. Round r to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 0.8, 2\/11, 26, -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/171)\/(1\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40002*g + 39992*g - 14 = -2*t, -g = -t + 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 5. Let g be m(-4). Let n be 2\/7 - 600\/g. Let p = n - 61. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29441*d**2*n**2 + 11*d**2*n - 21*d**2 + 54*n**2 - 1320 wrt n.\nAnswer: -58882*d**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83 or -442381?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/((b*b**(1\/5))\/b)*b))*b**(-4)*b)**(-37))**(-30) assuming b is positive.\nAnswer: b**(-1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by 1404361?\nAnswer: -128\/1404361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*c = -2*k + 1242, -12 = -4*c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3708 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*v + 5*i, 2*v + i = -i + 16. Let j = v + -7. Suppose j*a + 3*a - c - 12 = 0, 0 = -2*a + 2*c. Solve a*t = 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 19*p - 2. Let i be o(-4). Let t = i - -112. Calculate the remainder when t is divided by 2\/(-4) + 25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451657538 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35961307 a multiple of 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10.28. Let q = r + -0.13. Let y = 5.15 - q. Which is the second smallest value? (a) -1 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1584\/(-1452))\/((-28)\/231)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 15 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 41 - 54 - (-3515 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3009)\/(-9) + -1)*-333. Round c to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 399709 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - f - 8. Calculate s(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*f - 225*f - 225*f - 216*f + 906*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r + 2 - 21*r - 2*r.\nAnswer: -37*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 246096816731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0851847 rounded to three decimal places?\nAnswer: 9.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j - 196. Let d be k(25). Suppose d = 2*r - 2*o, -4*o = 5*r - 4*r - 2. Solve 4*t + l + 6 = 0, -t - l = r*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30*(2 + 12\/(-9)). Let l = d - 21. Calculate the remainder when 1 + (36*3 - l) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -14. Let g be (3\/12*2)\/((-1)\/8). Is r at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*f**3 + 1 + 2*f**2 - 28*f**3 - 56*f**3 + 4*f**2 as m*f**3 + o*f**2 + d*f + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Suppose 6 - 24 = -3*d. Let n(r) = -9*r + 2. Give d*m(t) - n(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 8*l**2 + 13*l + 42. Let n = -314 - -307. Let k be i(n). Solve k*j - 5*j + 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1046573378 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02502 + -1.02502. Which is the nearest to 1? (a) 25 (b) -0.1 (c) j (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 2*l**2 + 2*l**3)*(0*l + 2*l - 5*l)*(9 + 3 - 1) in the form b*l**2 + k + o*l**3 + n*l + p*l**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 6. Let h = 288 - 272.3. Let y = x - h. Which is the biggest value? (a) 3\/7 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.17 and -606.\nAnswer: -606.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*p - 1, 4*p + 5 = c - 2*c. Let b = p - -5. Let f be 57 - (3 + (-6)\/1). What is the greatest common factor of b and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 3*v**5 - 4*v**5 + (2*v**2 + v**4 - 2*v**2)*(-2*v + 6*v - 2*v) + 22*v**4 - 10*v**4 - 10*v**4 - 36*v**5.\nAnswer: -31*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -141. Calculate the remainder when 92 is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9496972 is divided by 4599.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3485, 2\/3, -2, 3 in increasing order.\nAnswer: -2, 2\/3485, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000840584 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 803247 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**3 + 8 + 22*r**3 + 15*r**3 + 9*r**3 - 8.\nAnswer: 65*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 10 - 10*u + 11*u + 18 - 20 + 35.\nAnswer: u + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 144*u**2 + 729*u + 900. Let r(a) = 29*a**2 + 146*a + 180. Let z(y) = -24*r(y) + 5*v(y). Factor z(n).\nAnswer: 3*(n + 4)*(8*n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 10)*((-1288)\/1281 + 1).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-105) - (-6)\/(-30))\/((-10)\/(-165))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 2 - 6*i + 11)*(415308 - 415308 + 477*i) as a*i + j*i**2 + g and give j.\nAnswer: -2862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -859.\nAnswer: -2\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631315.4mm to kilometers.\nAnswer: 0.6313154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62067.\nAnswer: 3, 17, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31798937, 31798935, 31798933, 31798931?\nAnswer: 31798929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/16)\/(2 + (-60)\/32). Let w(r) = -r. Let h(s) = 2*s - 1. Let b(p) = -3*h(p) - 5*w(p). Determine b(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let n(z) be the second derivative of -z**4\/3 + z**3\/3 - 3*z**2\/2 - 3*z. Determine 2*g(k) + n(k).\nAnswer: -2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -551, -858?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5776661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 357*j**2 + 729*j**2 - 3*j - 377*j**2 + 10*j to u + w*j + r*j**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-36) + (-85)\/(-4). Solve 0 = -m - 4, 0 = -5*r - 2*m + m + k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 32 = 7, 19 = -j - 4*l. Solve 28 = -9*b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0)\/(4 - 5 - 0). Suppose -5*y + d*t = -3*y - 36, -5*t = 5*y - 60. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1361157368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21237 is divided by 9280.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((2 + 3)\/15). What is the first derivative of -8*c + 52*c - n*c + 2 - 18*c wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 104*s - 1326. Give c(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 416700, 833397, 1250094, 1666791, 2083488, 2500185?\n\"Answer: 416697*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4807)\/(-874)*(-4)\/(-55)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2471.1677 + 2471. Let k = x + 0.1677777. Round k to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -29. Which is the nearest to -1? (a) o (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1 - 31. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -668*h + 32. Let r be v(-24). Suppose -3*o + 0*o = -2*i - 8028, 0 = -4*i + 4*o - r. Round i to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 510\/2*4\/6. Suppose 2*k = -30 + d. What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 1\/70*b**8 + 27\/100*b**6 - 14*b**2 - 1\/5*b**4 + 0 + 4\/25*b**5 + 0*b + 0*b**3 + 19\/175*b**7. Suppose i(c) = 0. Calculate c.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11014 - 66*g + 126*g - 59*g - 4274.\nAnswer: g + 6740","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/((-45)\/6))\/(18\/(-45)). Let r be 5 + (-2 + 0)*-1. Let f be (r\/2)\/(3\/6). Is f <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/100*(-13)\/(14820\/32)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*z - 185*z - 1758 = 0. What is the remainder when z is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 5*s - 45, 37 = 4*b + 3*s. Suppose -b*x - 2190 + 7010 = 0. List the prime factors of x.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20\/747 - -17726\/717867. Is z <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 2*t + 8, 5*o + 5 = -2*t - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*f + 5, 0 = 4*u + 2*f - 3*f + 10. Sort 1, 2, u.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5097, -5099, -5101, -5103, -5105?\nAnswer: -5107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/7 + 4\/56*-6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c4 + 18ac6a?\nAnswer: 18b061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*660\/2310*1659\/12?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c428b (base 14) in base 10?\nAnswer: 1010307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.88 and -0.0338422?\nAnswer: 1.8461578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10921\/8 - -1362. What is the common denominator of -97\/26 and n?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d + 2*d**3 + 0*d**3 + 3*d**3. Let f(t) = 4*t**3 - 6*t. Let y be -1*(-2 - -4) - -7 - -2. What is y*f(m) - 6*n(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/4 - 23*b**3\/2 + 36*b**2 - 378*b. Factor x(r).\nAnswer: -3*(r - 1)*(r + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.1 * 133\nAnswer: 1210.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*g - 36, -279*h = 2*g - 274*h - 18. Solve g - 6 = m + 3*x, -7 = 3*m + x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = g + 3*j + j, 3*j - 12 = 3*g. Let c be g - 4 - -4 - 0. Let u(s) = -c - s + s - s + 2. Give u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 + 2*z**5)*(0 + 0 - 3 + (2 - 3 + 3)*(0 - 5 + 4)).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14714855747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 648011548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.79? (a) 2 (b) -1.5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104538, 418172, 940896, 1672710, 2613614?\nAnswer: 3763608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 192 - k + 133 + 126 + 2352*k**2 to g*k**2 + i + f*k and give g.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/9 + 1112*x + 10009\/9 = 0.\nAnswer: -1, 10009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4236 divided by -19\nAnswer: -4236\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/57899034 and 16\/86848551?\nAnswer: 173697102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s. Let d be m(1). Let x = -7 + d. Let u be (-152)\/x - 10\/55. Are u and -15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**4 - 15*l**2 + 15*l**2 + l + 1 - 3*l to k*l**3 + c*l**2 + x*l + w + s*l**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 481\/5066 + -3\/34. Let z = 151\/123 + -64\/41. Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1 - w + 0*w - 18*w**3 + w**2 + 19*w**3. What is t(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 264\/(-16))*(-24)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r + 1)*(-42 + 42 + 10*r**3)*(4 + 4 - 6)*(-1 + 1 + 1).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (23673341*c - 8015*c**2 - 23673341*c)*(0 + 0 + c) in the form q + r*c**3 + o*c + t*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -44*u - 32. Let r be l(-10). Suppose r = -5*m + 523. Suppose -c + 2*c = 92. What is the greatest common divisor of c and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169212?\nAnswer: 2, 3, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -115.16302*11\nAnswer: -1266.79322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 + 3 - (-3 - -3)) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 986*r - 42196. Give c(367).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401\/4 greater than 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134*q - 50*q**5 + 35*q**5 - 166*q - 151*q**5 wrt q?\nAnswer: -3320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 523687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 135. Let r(o) = 2*o + 45. Calculate -2*q(c) - 7*r(c).\nAnswer: -4*c - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 10) + 9 - -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60991 or 1280806\/21?\nAnswer: 1280806\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:56 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -130 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4362 and -149\/12.\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -2\/7, -0.5, -1\/10, -2\/11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 86*z - 11*z)*(24*z + 41*z - 113*z) to the form q + n*z**2 + x*z and give n.\nAnswer: 4608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Suppose 9 = z + 2*i - 9, -5*i + 3 = -z. Let t = 14 - z. Solve 0 = p*u - 3*u + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 442.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 322813 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1726760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6883970, 6883972, 6883974?\n\"Answer: 2*b + 6883968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 + 1\/30*h**6 + 0*h**3 + 0*h**5 - 3*h**2 + 0*h**4 - 8*h. Differentiate o(k) with respect to k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80587*b - 80584*b + 109 = -5*p, -34*p - 5*b - 695 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.2, -5\/2, 0.4 in ascending order.\nAnswer: -5\/2, -0.2, 0.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 1. Let o = 3 + j. Let x(g) = -5*g**3 - 2*g + 1. Calculate x(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -175143 + 1?\nAnswer: -175142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 1 + 0 - 3)*(4*n**2 + 2*n**2 + 5*n**2) as w + j*n + c*n**3 + o*n**2 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.12? (a) -1 (b) -5\/3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennfxnnttfttffu. What is prob of picking 4 n?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 15. Let y(d) = -d + 1. Let t(c) = v(c) - 2*y(c). Let z be t(-8). Solve 2*q = 1 + z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 3*a + 15, -3*a - 11 = -r. Let h = -11 - r. What is the units digit of 6\/(-4) - 275\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725.44 minus -21.63?\nAnswer: 2747.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {l: 2, v: 4, b: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/54*12\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 221950 = 56*c - 828644. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5853\/(-3) + (5 - 8). Let c = l - 719. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 13. Let f be 6\/6*(-1 - -7). Let v be p(f). Suppose -v*q = 3*q - 32. Calculate the highest common divisor of q and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 3*b - 112. Let x(c) = -c**2 - c + 1. Let i(a) = f(a) - 3*x(a). Let g be i(0). Is g not equal to -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4684*g + 1931*g**2 + 194*g**3 - 1927*g**2 - 682*g**3 wrt g.\nAnswer: -2928*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 - 2*c + 2. Let s be f(4). Let p(t) = t**2 + 6*t. Let l be p(s). Let z be ((-38)\/285)\/((1\/(-3))\/1). Is z smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:16 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/3))\/g)\/((g**(4\/5)*g)\/g)*(g\/(g\/(g*((g\/((g\/(g*g**(-3\/2)))\/g))\/g)\/g*g)))\/g**(-2\/7) assuming g is positive.\nAnswer: g**(137\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35273672 or -35273666?\nAnswer: -35273666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 193. Let s = 110 + g. Solve 4*h = 2*r - 10, -3*r + 5*r + 14 = -s*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -11348710907.\nAnswer: -11348710906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4 - 99*w**3\/2 - 50*w**2 + 891*w\/2 + 45 = 0. What is w?\nAnswer: -3, -1\/10, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, s: 1}. Give prob of sequence se.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/6 + -3)*-6. Which is the closest to -1? (a) g (b) -1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 495 - 485. Solve k = -2*a, -2*u - a = 3*a + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + (13 - 24) + 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3*(2 + (-24)\/18)\/(-1). Let u = -6 - -8. Sort -2, u, i in increasing order.\nAnswer: i, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/36 - 1\/(-4))\/(462\/891).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67945, -67958, -67969, -67978, -67985, -67990?\n\"Answer: b**2 - 16*b - 67930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Let k be u + (-1)\/1*1. Which is bigger: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*w**4 + 3362*w**3 + 2*w**2 + 46536503*w wrt w?\nAnswer: 84*w**2 + 20172*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2123, -7, 5, 1.\nAnswer: -2123, -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2987\/20 + -149. Let x = r + -57\/20. Find the common denominator of x and (16\/(-5))\/(18\/105).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*b**2 + 12 - 12 + 238*b**2.\nAnswer: -532*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrchuttc. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/1059 (b) -5 (c) 3\/151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illlllilillllllilli. What is prob of picking 2 l?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 5. Let b = 61 + -66. Let h(q) = -1. Let z(p) = b*h(p) - r(p). Let k(d) be the second derivative of -7*d**4\/12 - d. Determine k(z(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p + 5*q = 22, 0 = p + q - 4. Which is the closest to -2? (a) p (b) 1 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618599 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 175, 209, 245, 283, 323?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2462 or 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 131 + 25. Solve g = -5*g + b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflltllbrrrtq. What is prob of sequence fr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 - 2*q**2 - 7*q**5 + 6*q**5 + (2*q**2 + 0*q**2 + 0*q**2)*(q + q**3 - q) - 5*q**5 - q**5 + 5*q**5.\nAnswer: 5*q**5 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266636955 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 - 1.887. Let u = o + -0.063. Let n = -115 - -114. Put 5, n, u, -2 in decreasing order.\nAnswer: 5, u, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 3*u**2 - 2*u**2 + 0*u**2 - 26.\nAnswer: -3*u**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 5*h - 3*h in the form t + i*h and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3074, -6146, -9218, -12290, -15362?\nAnswer: -18434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -267 - 103*u + 259 - 27*u. Does 32 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/15)*d*d)\/((d*d**(2\/7)\/d*d)\/d*d))\/(d\/(d**(1\/7)\/d)*d**(-2\/5)) assuming d is positive.\nAnswer: d**(-92\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*j - 8 = -0*j, 0 = -4*j + 8. Let b(n) = u - 7 - 1. Let m(v) = -22*v + 23*v - 2 - 2 + 7. What is 7*b(o) + 2*m(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -175085*t**2. Let z(v) = -3*v**2. What is m(z(u))?\nAnswer: -1575765*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2)*5\/(90\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -33, -80, -157, -270?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o + 20. Let y be 18 + -50 + (-108)\/(-3). Solve b + y*b = -o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 15b063?\nAnswer: 15b068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u)\/(u\/u**(-3\/11)))**(-26) assuming u is positive.\nAnswer: u**(936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4303 or -4273?\nAnswer: -4303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p + 11. Let s(y) = 16*y - 11. Let f(l) = 5*j(l) + 6*s(l). What is the derivative of f(r) wrt r?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25501.7 to the nearest one hundred.\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303654 by -17.\nAnswer: -17862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8*i**2 - 4 + 14*i**2 - 7*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 92002, -7.\nAnswer: -7, -3, 92002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -28*v + 12*v + 2 + 15*v - 4*v**2 + 2*v**2 + 2*v**3. Let k be h(2). Suppose -11*y + 7*y + k = 0. Solve r - 21 - 4 = 5*q, y*q - r + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48807*v - 48638*v = 1250 + 778 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3353862792 to the nearest integer?\nAnswer: 57913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 167 from 1.4.\nAnswer: -165.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {w: 1, z: 1, s: 3, u: 5, v: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 take away 0.122666166751?\nAnswer: 382.877333833249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1*-2 + sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11) + 5.\nAnswer: -3*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 2*p + 3*p)*(4 - 4 + 2*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1203, -1189, -1167, -1137, -1099?\n\"Answer: 4*f**2 + 2*f - 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -7c?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -r - 66, -29 + 85 = 3*k - 4*r. Suppose 0 = -3*y + 4*h - k + 87, -h - 65 = -3*y. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.682 rounded to zero decimal places?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 - p - 2. Let r be y(3). Suppose -5*d + 5 + 15 = 0, 148 = 4*v + 5*d. Suppose a + r = v. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 455\/61 - 28739\/4270. Calculate the common denominator of i and 109\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 362527.\nAnswer: 362527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -284*s**2. Let o(b) = -21*b**2. What is c(o(r))?\nAnswer: -125244*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -17. Calculate the smallest common multiple of 10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.353 from 11041.6.\nAnswer: 11041.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 0.2, -33, -1\/6 in increasing order.\nAnswer: -33, -1\/6, 0.2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*c + 8, -2*c + 2 + 5 = m. Let p(v) = v**2 - v - 3. Let o(z) = 4*z**2 + 41*z + 36. Let r(u) = m*p(u) - o(u). Factor r(k).\nAnswer: -3*(k + 1)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/168*(-19)\/(304\/(-18))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2029\/4 + -507. What is the nearest to 0.48 in p, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21226, -42395, -63564, -84733?\n\"Answer: -21169*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102203 (base 4) to base 6\nAnswer: 5255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -331740, 1, -4, -7, -2 in decreasing order.\nAnswer: 1, -2, -3, -4, -7, -331740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, -5, -2, 2 in ascending order.\nAnswer: -27, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x + 31 = 241 + 126 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:50 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 566365770 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 6*i**2 + 2*i + 4. Let u be a(4). Let y = u - 20. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/32967051 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31\/6 - -8\/3. What is the biggest value in 0, b, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let m(v) = 9*v + 3. Let a(l) = -26*l - 8. Let t(f) = 4*a(f) + 11*m(f). Give t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - 5*t + 1. Let b(c) = c**2 - 2. Let j be b(2). Suppose -5*w - j*i - 13 = 18, 0 = -2*w + 2*i - 4. Give x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5 - 5 + 5 + 3 - 8*p. Let g(a) = -5*a + 2 + 4*a - 2. Let x(t) = t - 7. Let y be x(8). What is y*q(r) - 5*g(r)?\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -5\/83, -2\/33, -2, 25?\nAnswer: -5\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 866.32 in decreasing order.\nAnswer: 866.32, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18417*c**2 + 20888*c**2 + 1 - 1.\nAnswer: 39305*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11125.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 20711\nAnswer: 1\/20711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 175367, -1\/6 in ascending order.\nAnswer: -1\/6, 2\/3, 175367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 36*k**6\/5 + k**5\/20 + 229*k**2\/2 + 2*k - 119. Find the first derivative of o(f) wrt f.\nAnswer: 864*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.82 + -3.62. Which is the closest to -0.1? (a) 1 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/140)\/(-7 - (-26)\/4). Let z = -3 - -6.5. Let m = z + -3. Which is the smallest value? (a) i (b) -2\/13 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.503 - 16.318. Which is the nearest to 2\/9? (a) 0.1 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/654 or 2\/18557?\nAnswer: 2\/18557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -478, -71 in decreasing order.\nAnswer: 7, 0, -71, -478","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 130606, -13, -5 in increasing order.\nAnswer: -13, -5, 130606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 13*f - 9*f. Let g = -6 - -5.6. Which is the second biggest value? (a) -2\/13 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011011001 (base 2) to base 7.\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 3*s - 2*s + (4 + 1 - 3)*(5097 - 17*s - 5097) to o*s + a and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 16. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -82*b**2 + 6*b + 14. Let h(l) = -82*l**2 + 4*l + 14. Calculate 3*h(z) - 2*o(z).\nAnswer: -82*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 3, -13, -35, -63, -97?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 330 = 8*q. What is the remainder when q is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2, 2*k + 3*q = 3*k - 34 + 31 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4528 - -4666. Let l = 36591 - 36729.071. Let i = q + l. What is i rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-4 + -4 + 12)) + -3 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9991\/819 - 159\/13. Let a = -148\/693 - m. Sort a, 10, -1, -4 in descending order.\nAnswer: 10, a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**8\/840 + k**6\/45 + 2*k**3 - 41*k. Let r(d) be the second derivative of u(d). Factor r(s).\nAnswer: -2*s**2*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 44, -6, -72, -154?\n\"Answer: -8*t**2 - 10*t + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -494. Let y = 3085 + o. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107174226 greater than -107174226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1014773+-45079.8\nAnswer: -45079.6985227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5003544 and 241599696.\nAnswer: 1691197872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24624 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -251, 1\/5, -0.06 in ascending order.\nAnswer: -251, -1, -0.06, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, 159, 455, 863, 1383, 2015, 2759?\n\"Answer: 56*m**2 + 16*m - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 17. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6479 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -501*p**2 - 11*p**2 - 292*p**2 to the form h*p + f*p**2 + z and give f.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l - 49 + 83 - 75)*(-2*l**2 - 2*l**2 + 5*l**2).\nAnswer: l**4 + l**3 - 41*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + 0 + sqrt(2700) + -5 + (6*sqrt(2700)*1)**2).\nAnswer: -97191 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26636625.78400106 - 26636626. Let n = -0.216 - p. What is n rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 6*t**2 + 23*t - 23. Let d be 2*-2*22\/8. Does 12 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 - -228. Calculate the remainder when a is divided by 6\/4*2926\/231.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1\/274?\nAnswer: 1\/274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 19 + 1. Solve n = u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*l = 237*l + 134520. Calculate the remainder when l is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v**2 + 4*v + 46. Let n(g) = 2*g**2 - 3*g. Calculate b(s) + 5*n(s).\nAnswer: s**2 - 11*s + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 10, h: 1, q: 6, t: 2}. Give prob of picking 1 q, 1 t, and 2 r.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 260\/3. Suppose 5*m + 32 + 3 = 0. Let w be ((-6)\/21)\/((-3)\/m). Which is the closest to f? (a) w (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(637) + -1*sqrt(637) + -4) + (-5 + (sqrt(637) - (sqrt(637) - (sqrt(637) - sqrt(637)*-1))) + sqrt(637))*-2)**2.\nAnswer: -504*sqrt(13) + 22968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9) + 319\/(-87)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 69789, 0.\nAnswer: -29, 0, 69789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 2, n: 1}. Give prob of sequence znoz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49998, -0.12, 2\/3?\nAnswer: 49998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3673*r = 3671*r + 8. Let p = -68 - -47. Does 8 divide (0 + p\/r)\/(24\/(-160))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 0*t**5 - t**5 + (0*t**3 + 0*t**3 + t**3)*(-t**2 + 3*t**2 + 0*t**2) + 4*t**5 - t**5 - t**5 + 21*t**5 + 93*t - 93*t.\nAnswer: 23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107287.\nAnswer: 17, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2516738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34352*o**2 + 33924*o**2 + 13 + 2123*o**3 - 10 wrt o?\nAnswer: 12738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:03 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-3)*1\/(-1). Let c = 0 + 0.2. Let m = c - 0.6. What is the second biggest value in b, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101856286841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/120 + 7*p**5\/60 + p**4\/12 + 5*p**3\/6 - p**2. Let f(w) = -w**2 - 23*w + 180. Let s be f(6). Is z(s) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -14)\/((-9)\/6). Let y be (-258)\/o + (-3)\/(-15). Let s = y + -8. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/16 + 55\/4. Suppose 0 = -2*m - n + 3 - c, -n = 3*m + 14. Sort m, -1, 5 in descending order.\nAnswer: 5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3533*u**3 + 17*u**2 + 66*u - 14. Let s be n(-13). Round s to the nearest one hundred thousand.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -39. Let h be (-63)\/(-168) + (-10)\/l. Let y(o) = 414*o - 5. Let p be y(h). What is p rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 177, 5, 2906, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 92 - 5*w + 10*w. Let h be v(24). Solve 4*a + 0*a = -h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/60 + r**3\/6 - 2*r. Let w(x) be the second derivative of o(x). What are the prime factors of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c + 272 - 272.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, b: 1, i: 1, y: 1}. Give prob of sequence yi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 2)\/(-2)*-7. Let g(m) = m**2 + 6*m - 1 - 2 - 1. Let h be g(n). What is the greatest common divisor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*l - 14140, -5*l = -8*y + 9*y - 7070. Let u = y + -3699. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-2\/149)*(v\/v**7)\/(v*v**(-4)) assuming v is positive.\nAnswer: v**(-449\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + (1 - 0))*1. Let m = -116 + 164. Does 5 divide (m\/10)\/(w\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 6:51 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 966, 1838, 2958, 4326?\nAnswer: 5942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 17*y**2 + 18*y + 3. Let w be i(-18). Suppose 5*d + 5320010 = 4*o, o + w*d - 1077092 = 252902. What is o rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*i - 4 + 24 = 0, 5*n + 3*i = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -562*l + 141*l - 5 + 138*l + 138*l + 140*l + 6*l**2. Let j(c) = -15*c**2 + 12*c + 12. Calculate -12*d(r) - 5*j(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-182))\/((-18)\/231). Let u = t - 3\/13. Let d = 0.2 + -0.3. Which is the closest to d? (a) 0 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802 + 802 - 11*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*u - 26777 = 205*u + 351 - 1398 for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 0.2 (c) 2\/9 (d) 4\/3 (e) 752\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 56*v + 5. What is u(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477 + -472.81. Let z = n + -4.5. Let i = 0.11 + z. Which is smaller: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -0.278, -4\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 19 - (-7 + 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*(-2*(sqrt(72) + 3) - sqrt(72)) + 3*(-1*sqrt(72) + sqrt(72) + 3))*-2)**2.\nAnswer: -1296*sqrt(2) + 7884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -132, -131, -130, -129?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -63. Suppose 2*l = 4*u - l - 20, 3*l = 2*u - 16. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**2 - 40*g + 3. Let z be y(-8). Let j = -38 - -75. Solve -2*f - 12 = -2*r - 6*f, 0 = -z*r + 5*f - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -102 - 17 - (-6)\/1. Let d = 4 - c. Is d a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -18. Let t = 17 - 6. Let v = t - s. Which is the third smallest value? (a) v (b) -1\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -1, 0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 2. Let l be (-6)\/(-12) + 0 + (-3)\/(-2). Suppose l*j = -4*j + 24. Let s(g) = -g - 2. Determine j*s(p) + 5*n(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*q + 300*q - 816 = 150 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128762122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 18. Let i(o) = -o - 8. Determine 3*g(p) - 7*i(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 6*b**2 + 10*b - 7. Let g be i(7). Let a = -12 + g. Factor -1\/4*u**3 + 0*u + 1\/4*u**4 + 0 + 1\/4*u**5 - 1\/4*u**a.\nAnswer: u**2*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 times -4054?\nAnswer: 2987798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 640978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/16*-5*86\/(-215). Let t(i) be the second derivative of 0 + 7\/20*i**5 + 0*i**2 + 0*i**3 + c*i**4 + 2*i. Find the third derivative of t(k) wrt k.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-2 + 4 + -2) - (-598 + 624).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-1) - ((-253)\/(-23) + -13). Sort 5, -30, g.\nAnswer: -30, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-12)*(19\/(-2) + 2). Let j = f - -164. Suppose -2*x = -7*x + 115. What is the highest common factor of j and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/4)*n**(-4\/5)\/n)**(1\/21))**(-3\/23) assuming n is positive.\nAnswer: n**(51\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, 0, -3870, 268 in descending order.\nAnswer: 268, 4, 3, 0, -3, -3870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2254427.5 and 174900.\nAnswer: 2429327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3264 + -3259. Let s(o) = -2*o**2 - 3*o + 14. Let u(c) be the second derivative of 0 - 9\/2*c**2 + 1\/3*c**3 + 1\/12*c**4 - 2*c. What is z*s(l) + 8*u(l)?\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 4*m + 2*m - 2*m. What is p(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*2*2*5)\/(sqrt(176) + 4*(-1*sqrt(176) + sqrt(176) + sqrt(176)) - sqrt(176)) + 3)**2.\nAnswer: 15*sqrt(19)\/2 + 619\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (2 - (-21 - -34) - (-2 + -1))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)*(3 - 7). Let g = 89 + -53. What is the remainder when g is divided by 14 + (0 - 0) + (3 - n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*(-25)\/125 + 33\/2 - 10\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50328 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 2215*o**3 + 137215*o**2 - 1359305*o + 1224300 = 0. Calculate o.\nAnswer: 1, 11, 60, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w**3 - 4*w**2 - 7*w. Let t(c) = -4*c**3 - 4*c - c**2 + 5*c - 3*c. Suppose -2*d - 20 = -4. Let j = d + 10. Calculate j*b(z) - 7*t(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3)\/(-2*1\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75615535.\nAnswer: 5, 19, 557, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*w + 3056*w + 8315*w - 92296 = 636*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/473675 and -20\/132629.\nAnswer: 3315725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 times 4?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3944 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*-5403717\nAnswer: 9186318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 103536*a**2 - 7874437*a - 7770900.\nAnswer: (a - 103612)*(a + 1)*(a + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4541 is divided by 2267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let q(b) = 6*b**2 - 2*b - 2. Suppose -6*p + 13*p - 413 = 0. Suppose -4*d = p - 55. Calculate d*q(y) - 2*g(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-144)\/(-168).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:09 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 518 - 912. Let l = v + 274. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f + 15. Let c(d) = 3*d - 10. Let p(g) = 7*c(g) + 5*r(g). Let x(y) = -7*y + 8. Let k(v) = -5*p(v) + 3*x(v). Let s(u) = 1. What is -3*k(h) - 5*s(h)?\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d**3 - d**2 - 3*d - 27. Let k(h) be the second derivative of h**3\/2 + 113*h. Let i(y) = b(y) + k(y). What is the derivative of i(u) wrt u?\nAnswer: -63*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -79\/3. Determine k so that -1\/3*k**5 - 1\/3*k**2 + 1\/3*k**4 + 0*k + 0 + l*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1025*l + 81998. What is i(80)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2*(u*u**(4\/3))\/u)\/(u\/(u**(-2\/19)*u)*(u\/(u**(2\/9)\/u))\/u))\/((u**(-1\/2)\/u*u*u)**44)**(5\/16) assuming u is positive.\nAnswer: u**(-4685\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmbbm. Give prob of picking 4 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100110112201 (base 3) to base 5\nAnswer: -21430132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18944928 and 272?\nAnswer: 322063776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - -38. What is the highest common factor of 39 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 1733, 3894, 6919?\nAnswer: 10808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 6*c + 9*c + 2*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 - -218. What is the lowest common multiple of 40 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - y. Let j be g(-1). Let k(r) = -4*r + 3*r**2 + r**3 - 3 + 3 + 4. Is k(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d + 0*d)*(-40 - 550*d + 22 + 18).\nAnswer: -2200*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*h*p**2 - h*p - 16116*h - 24139*p**2 - 2 wrt h?\nAnswer: -53*p**2 - p - 16116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(156)\/sqrt(3))\/sqrt(4) - sqrt(13))**2 + -2 + 3 + 4)*-3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.38 (b) -0.06 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2227 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -15 - (-64 + 65).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = -4*l + 20*h - 109, 0 = -5*h - 15. Let y = 71\/720 + 1\/80. What is the smallest value in 0.2, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3 - 14948*u + 14950*u + 1. Let i = -2 + -4. Determine a(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Suppose 2*k - 26 = -q - k, k - 62 = -c*q. Suppose 0 = -2*h + 5*j + q + 6, 3*h + 2*j - 1 = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1171*d**3*h - 510434*d**3 - d**2*h - 3*d**2 - d*h - 58*d + 12559*h wrt d?\nAnswer: 7026*h - 3062604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - h - 2 = -2*h, s - h = 2. Suppose -10*f - 325 = -325. Factor 0*x**s + f - 2\/7*x**3 - 2\/7*x**4 + 0*x.\nAnswer: -2*x**3*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -299, -961, -2187, -4163, -7075?\nAnswer: -11109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -812483240 rounded to the nearest 1000000?\nAnswer: -812000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 128. Let g be t(26). Let j be g + (2 - 3)*-1. Solve -10 = -j*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-275)\/44 - (-1)\/4. Let i be (1\/2)\/(c\/(-24)). Solve -4 = -p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19a + 58a?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2652 and 4194138.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (23 - (4 + -18)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 5. Let i(d) = -5*d + 5. Let c be (-5 + 64\/12)*-9. Give c*z(v) + 4*i(v).\nAnswer: -2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5.8407040187551\nAnswer: 8.8407040187551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40837 and 1261?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 = i - 0*i, 5*i + 5*b = -5. Solve -j - 2 = -i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -7*u + 1. Suppose 2*o - 5 - u = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3469502?\nAnswer: 2, 29, 41, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 4)*(-2*l**4 + 0*l**3 + 0*l**3) - 5*l**4 + l**4 + 3*l**4.\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1300) + -1 - (2 + -2*sqrt(1300) + sqrt(1300)).\nAnswer: -5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 6*c**2 - 2*c**4)*(3*c + 0*c - c + (0 + 2*c + 0)*(-3 - 5 + 1)).\nAnswer: 24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 424696*j - 213022*j - 211679*j.\nAnswer: -5*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 5*l + 4*a + 1163, 4*a = -28. Solve -4*c = -8, l = 2*s - 2*c + 237 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252311 - -11?\nAnswer: -252300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -290 + 326. Calculate the least common multiple of b and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) -3 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.971 or 0.1?\nAnswer: 2.971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 332*i**3 + 5*i**2 - 5*i. Let j(c) = -332*c**3 - 4*c**2 + 4*c. Determine 4*b(z) + 5*j(z).\nAnswer: -332*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:07 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50531 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0078018 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*(-12)\/8352)\/(-8*((-46)\/(-12))\/23).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49203*q**5 + 19*q**3 - 21*q - 171142 wrt q?\nAnswer: -984060*q**3 + 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2*-1 - 245. Let q = b + 382. Let f = 971\/7 - q. What is the nearest to -1\/2 in -1\/7, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 218*w - 7 + w**3 + 217*w - 433*w + (-w**2 + w**2 - 2*w**2)*(2 - 2 + w).\nAnswer: -w**3 + 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-16 + (20 - (8 + -8 + 10))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -288 * 0.3.\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 3*c - 8. Let n be 1*3*c\/4. Let q be (-1)\/(-2) + (-9)\/6. Is n < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/12 + d**3\/6 - d**2\/2 + d. Let z be c(1). Are z and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 31) + (-3 - (-17 - -10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 8*r**2 - 7*r + 2. Let i be z(-7). Let w be i - (7 + 9\/(-3)). Is -1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2. Let d(b) be the first derivative of -150*b**2 + 118. Give d(p(j)).\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965516 is divided by 48193.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**2 + 45*a**2 + 2*a**2.\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 626198*t**3 + 488267*t wrt t?\nAnswer: 3757188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 245\/4. Let p = 0.13 + -0.33. Let v = 0 + p. Is c greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14474808 and 0.9032428.\nAnswer: 1.04799088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j + 3*y = 20, 0 = -y. Suppose j = 5*s - 2*h + 37, 12 = 3*h. Let r(x) = -x**3 - 5*x**2 - 6*x - 2. Does 14 divide r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 26 - 10 = 4*f, 0 = v + f - 4. Suppose 0 = l + l - 4. Suppose -6*t + l*t = -16. Solve v = -w - 0*d + 5*d - 14, 3*w - t*d = -9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 0, -2*b - 76 = 2*w - 0*b. Is w smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -13*b**5\/60 + 3*b**4\/8 + 5*b**3\/2 - 344*b**2 + 4*b. Let t(p) = 6*p**2 - 4*p - 7. Determine -4*s(c) - 9*t(c).\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/30)\/(3\/(-27)). Does 9 divide -8 - c\/2 - -57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-76)*11\/(-55).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/5216 and 95\/6?\nAnswer: 15648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1548 by 3.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 6:12 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51056 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 583 divided by -6\nAnswer: -583\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 4. Suppose -5*b - 3*i + 0 = -7, -2*i = -5*b + 12. Let t be -7*b*(-11)\/14. Calculate a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5937130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2758474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/7)\/2*(-96)\/(-192)*1022\/876.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-15) + 2373\/15. Is q\/2 - 3 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70790 or -1?\nAnswer: -70790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:33 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6694\/9 + -747. Calculate the common denominator of 6\/(-80)*(-4 - 8) and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1302 and -37\/132531?\nAnswer: 8216922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u. Let s(k) = -228*k. Determine y(s(g)).\nAnswer: 2508*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 35*o - 185. Calculate c(7).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.7 (b) -2 (c) -2\/21 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 2*k + 351 - 360, 5*k = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + 632\/56.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5847712\nAnswer: -3\/5847712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 161134196.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 555024.8 years?\nAnswer: 6660297.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9766*q - 9722*q + 479 - 2283 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 28. Calculate the remainder when u is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, -26, -96, -204, -362, -582, -876?\n\"Answer: -2*o**3 - o**2 - 27*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 7 + 54*g**3 + 15.\nAnswer: 54*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5503888?\nAnswer: 2, 13, 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-4) - 117\/36. Sort -1, 15, m.\nAnswer: m, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 2*p**5 - 2*p**4 + 9*p**5 + (-3*p**2 + p**2 + 0*p**2)*(-4*p**3 + 5*p**3 + p**3).\nAnswer: 3*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from swwlosslols.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/11177280 and 4\/15.\nAnswer: 11177280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - -5 - (9 - 5)) + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 59. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.53.\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9829513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 269? (a) -59 (b) 1\/6 (c) 161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*v)*(-5*v**3 + 3*v**3 + 4*v**3 + (-v**2 + 2*v**3 + v**2)*(1 + 3 - 2)) + (7*v**2 + 3*v - 3*v)*(-8*v**2 + 14*v**2 + 13*v**2).\nAnswer: 121*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/9 - (-4)\/18. Solve s*i + 10 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 m when three letters picked without replacement from {m: 2, a: 4, q: 2, l: 5, e: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -10001110101110?\nAnswer: 10001110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 638.9454 kilometers?\nAnswer: 638945400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-26) - ((-24534)\/1755 + (-6)\/(-45)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 488 + 6?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 1 - -16) + 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159811318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24434833 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 6*d + 9. Suppose 0*i = 5*i - 35. Let s be w(i). Suppose -7 = -n + s. Solve 5*u + 11 = k + 2, -k - n = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16be (base 16) in base 13?\nAnswer: 285b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1906.95465ns to days.\nAnswer: 0.000000000022071234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0052 and -73230534.\nAnswer: -73230534.0052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13854, -6, 5, 2, 1.\nAnswer: -6, 1, 2, 5, 13854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.498968 years to months.\nAnswer: 41.987616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5, 136 in decreasing order.\nAnswer: 136, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*s**5 - 15*s**2 + s - 22 wrt s?\nAnswer: -1500*s**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -1.97 (b) 5 (c) 0 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 34. Let o be j(-15). Suppose -d - 21 = -5*t + 2, o*t = 2*d + 22. Which is smaller: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571154 is divided by 459.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/3)\/(-23 - 4\/88*341).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1172 - 1168. Suppose 4*a = y*u - 0 + 44, 0 = 5*a - 10. Let t be 1\/(-3) - 40\/6. Is u at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 equal to -66036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 2, k: 1, h: 1, t: 1, g: 1}. Give prob of picking 1 k, 1 t, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - y**3 - y + (-y**3 + 2*y - 2*y)*(11 + 13 - 9) + (y - y - y**2)*(5*y - 2*y - 4*y) to v*y**2 + p*y + c + i*y**3 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13\/1319 (b) 0.1 (c) 0 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*c**2 - 81*c**3 - 140*c**2 - 14*c**4 + 10*c**4 + 9*c - 9 - 60*c - 20*c**4.\nAnswer: -3*(c + 1)**3*(8*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 - 557*s - 245. Is m(-102) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z. Let r(n) be the second derivative of -13*n**3\/6 + 3*n. Calculate r(f(v)).\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {q: 2, b: 1, w: 1, l: 10}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:58 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.1492 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, l: 4}. What is prob of sequence sl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**4 - 5*b**4 + 4*b**4)*(-4 + 3 - 1).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0 + (-3 + 5 + 0)*(0 - 2 + 1) + 4 - 3 - 2)*(2*q**2 + 3*q - 3*q) - 9*q**2 + 27*q**2 + 2 + 10*q**2 as b + s*q**2 + a*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 3156.\nAnswer: -77\/1578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + 4*l - 2. Let y be d(-4). Let u = y + -69. Let c = 32 + u. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 41529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 - 11*l**2 - 14*l - 111. Let p be d(10). What is the greatest common divisor of 712 and p?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10765 - 10763. Solve -4*l - o*j = -14, 4 = 4*l + 4*j - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0890253 - -0.089. What is l rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-18)*(-18)\/(-1) - -2. Which is smaller: c or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**6\/90 - z**5\/20 + 2*z**3\/9 - 13*z. Determine n, given that x(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z + 139*z + 455 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*j**2 + 612*j - 672.\nAnswer: -3*(j - 28)*(7*j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7927968 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, -2*q = -2*n - 6*q - 6. Let g(p) = 3*p + 2. Calculate the lowest common multiple of (-24)\/n - -1 - -3 and g(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -87, -237, -3, 34 in decreasing order.\nAnswer: 34, 4, -2, -3, -87, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6105, 6, -131\/2 in descending order.\nAnswer: 6105, 6, -131\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*n**3*y - 3*n**3 + 2*n + 3*y - 13 wrt n?\nAnswer: -1254*n*y - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:09 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 22*o - 27*o + 7995, 0 = 3*x + 5*o - 12010. What are the prime factors of x?\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 161 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 1, q: 4, e: 2, w: 2}. What is prob of picking 1 k, 1 q, and 2 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let k(f) = -6*f - 40. Let s be k(-12). Let c(r) = -32 - 2*r + s. What is l(c(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -4 (c) 210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6)*(-8 - 1). Let r = 0.218 - 0.218. Let p = 74 + -520\/7. Sort p, r, f in ascending order.\nAnswer: p, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100 - -1201200000?\nAnswer: 1201120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 1.7. Which is the nearest to -0.1? (a) -4 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.6 - 1.6. Let y = -10 + x. Put y, 2, -1 in descending order.\nAnswer: 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3595*h**2 + 64686*h - 2. Determine w(18).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57544411831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 20 - 34 = 3*r, 5*b = -4*r + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) + 5*-2*sqrt(143) - sqrt(143)) - sqrt(143) - sqrt(143))\/sqrt(11))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 7, m: 3}. Give prob of picking 3 m and 1 a.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13953942 divided by -9?\nAnswer: 1550438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00383623353 rounded to five dps?\nAnswer: -0.00384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:01 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (546\/(-21))\/260*-5*40\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 4. Let u be g(3). Let f(h) = h**2 + 247*h + 3908. Let v be f(-17). Let s(z) = z - 5. Let m be s(2). Sort m, u, v in increasing order.\nAnswer: m, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -107 + 67 + -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 22*t**2 - 7*t + 11. Let c be n(-22). Suppose -750*m + 745*m + c = 0. What is the remainder when 112 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + o. Let p be u(-1). Suppose -5*i + 70 = 2*y + 13, -y + 23 = p*i. What is the highest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 17 = -28*n - 5*t + 10, 26 = -3*n - 0*t + 2*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 1, v: 2, n: 3, c: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(6\/(-15))\/(((-66)\/55)\/(-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/((-300)\/160*(-24)\/30)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/20 and 49\/236?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 15*o = 0. Factor -2\/11*x**4 + 4\/11*x**3 + 6\/11*x**2 + o*x + 0.\nAnswer: -2*x**2*(x - 3)*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185835*z**3 - z - 4779 wrt z?\nAnswer: 1115010*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 3. Let h(y) = 4*y + 3. Let o(j) = 20*j + 176. Let k be o(-6). Let n = 50 - k. What is n*w(u) + 5*h(u)?\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*v - 1\/4*v**2 - 1\/2 = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 3564*j + 180265. Determine z(50).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 694 and 20?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155\/(-1939)*(-2 - (-8)\/10)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5464.41428 + 141937\nAnswer: 147401.41428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 932457538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11379\/337 + 77892456\/2317549. Let c = -1\/529 - y. Factor -c*t**2 + 2\/13 + 0*t.\nAnswer: -2*(t - 1)*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 426\/(-1440) + (-1)\/(-1 - 1). Let v = c - -2807\/240. What is the common denominator of 4\/16 + (-194)\/136 and v?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 272168*i**2\/3 - 10614890*i\/9.\nAnswer: 2*i*(i - 13)*(i + 408265)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790\/(-45)*656\/(-328).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 + g. Let f(h) = 173*h**3 - 3*h**2 - 84*h. Let o(j) = f(j) + 4*n(j). Find the second derivative of o(d) wrt d.\nAnswer: 1062*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3 + 248*f - 81*f + 6 - 7. Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Suppose 0 = 12*r - 8*r. Let c be w(r). Let z(x) = -x**3 - 9*x**2 + x + 5. Let i be z(-9). Put c, i, -2 in decreasing order.\nAnswer: c, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9301197287 + -9301197733.29409928. Let a = -446.1341 - l. Let p = 0.16 - a. Round p to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b - 7. Let a(p) = -3*p - 2. Let c(s) = -7*a(s) + 2*l(s). Let i(f) = 2*f**2. Give c(i(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682970, -682983, -683006, -683045, -683106, -683195, -683318, -683481?\nAnswer: -683690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*p**2*v + 44*j*p**2 - j*p*v + 8*j*p - 6*j*v + j + 310*p**2*v + 7*p wrt p.\nAnswer: -4*j*v + 88*j + 620*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, m: 2}. Give prob of sequence kkmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 23. Sort -3, 3, -1, r in decreasing order.\nAnswer: 3, -1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 - 1 - (-95 + 128)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.2981949.\nAnswer: 0.2981949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/625600 and -77\/8000.\nAnswer: 3128000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 5720 = -10*v. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*g**2 - g**2 + 2*g**2)*(-2 + 1 - 1) + 0*g**2 - 2*g**2 + 4*g**2)*(15 + 1 + 52)*(-5*g + 3*g - 7*g) as q + m*g**2 + p*g**3 + y*g and give p.\nAnswer: 2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 19 + 4 - 24 - b + 0*b**2 + 4 + 11*b**3 as v*b + w*b**3 + l + k*b**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 417671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*b - 9, -153971*f + b - 29 = -153974*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**4*f + 14*d**3*f**3 + 57*f**3 with respect to d.\nAnswer: -32*d**3*f + 42*d**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 3*b + 4. Determine d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 4*n**3 + 5*n**3 + 0*n**2 - 3*n**2. What is the units digit of x(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 58995576, 0.3 in ascending order.\nAnswer: -1\/2, 0.3, 1, 58995576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756 divided by 1522.\nAnswer: 378\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.9 - -34.2. Let u = 8.6 + n. Let s = u - -0.1. What is the second biggest value in 2\/3, 4, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8524273 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4650 + -12?\nAnswer: 4639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/2, -0.5, 7, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 6 - 6 + 5*p in the form y + h*p and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)*r)\/r*r**(3\/2)*(r**1)**(-3\/25))\/((r**0)**(-5)*(r**2\/r*r)\/r**(2\/5)) assuming r is positive.\nAnswer: r**(-83\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17447184.4 - -17616298.4018. Let q = 169137 - s. Let c = q + -23. What is c rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7937859 + 12360859. What is a rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161213, 162601, 163991, 165383?\nAnswer: 166777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/50 and -10*13\/(-325) + (-24142)\/5880 + 4.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/5*(-280)\/364*3\/5.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*b = -0*n - 732, 2*n - 493 = -5*b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 10*n - 3420 = 0. 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 the remainder when 288615 is divided by 2030?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -124. What is the second smallest value in 0.3, k, 43?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9976)\/(-96))\/(-29) - (-4)\/12\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*v**4 - 46*v - 37*v**4 - v**3 - 40*v**4 + 48*v**4 wrt v.\nAnswer: -504*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*b + 7631, 5*b + 863 = z - 1026. What are the prime factors of z?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*o - 4*o - 14 = 0, 0 = -3*n - 5*o - 14. Suppose 2*c - 28 = -4*k, 3*k - n*k - 2*c = -3. Let t = 9 - k. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/2*626\/(-1878)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*o = 435*o + 210 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 9*t + 8. Let k be b(-10). Let i(m) = -2*m + 3. Is i(k) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790 and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, v: 1, w: 2, g: 4}. What is prob of picking 1 g and 1 a?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r - 4*r + 3*r - 2*r - 3. Suppose 2*z + 5*x - 13 = 3*z, 5*z - 22 = -4*x. Let g(s) = 2 + 5*s - z*s - s. What is -3*c(n) - 5*g(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1340, 1440, 1540, 1640?\n\"Answer: 100*l + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 714, 0, 13, -2 in decreasing order.\nAnswer: 714, 13, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, j: 9, m: 3}. What is prob of sequence mmmj?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p**2*y - 47758*p**2 - 2*p*y - 7*p - 1735319*y + 27 wrt p.\nAnswer: -16*p*y - 95516*p - 2*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 161.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 637908405 to the power of 1\/2, to the nearest integer?\nAnswer: 25257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -23. Let j(i) = -42*i**2 + 172*i**2 - 5 + 3*i + 26*i**2 + b. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 32*v + 3 + 30*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 - (-22 + 0 - ((-6 - 13) + 4) - -16).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 7*v**6\/40 + 13*v**5\/10 + 5*v**4\/2 - 4*v**3 + 18*v**2. Factor w(t).\nAnswer: 3*(t + 2)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t - 3. Let k be z(-4). Is k\/2*(2 + 16) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -51. Solve 5*r + 3*l = 19, r - 12 = l - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-1) + -3)*(-11 - -8). Calculate the greatest common divisor of 735 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8148 = 42*r - 48*r. What are the prime factors of r?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 4, -0.2, 1\/6, -3 in descending order.\nAnswer: 4, 1\/6, -0.12, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-1 + sqrt(112) - sqrt(112)) + 3)**2 - ((-6*(-2 + sqrt(847)) - sqrt(847)) + 4)) + 2.\nAnswer: -5 + 77*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1692\/13 - -130. What is the closest to -3\/2 in -1\/5, -5\/6, d?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 10*x**2 + 9*x + 2. What is the hundreds digit of b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/51)\/((1500\/(-90))\/50*(-6)\/49).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/10*2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, -16, -0.3, 44.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37386383 - -37386013.00201. Let c = -260 - -630. Let q = c + m. What is q rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 27342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 63\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**3*x**2 - 3*o**3 + 138*x + 2 wrt x.\nAnswer: 2*o**3*x + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 + 4*m**2 - m - 2. Calculate v(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 2*l - 1872 = 0. Suppose -9*r + l = 649. Let i = 60 + r. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2737)\/(-16660) - (-1)\/(-5))*(-12)\/(-9). Is p bigger than -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827.9692 minutes in days?\nAnswer: 1.9638675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 - 134 = -5*b. Let y(p) = -21*p - 347. Let i be y(-23). Suppose -1161*d + 1157*d + i = 0. What is the greatest common divisor of b and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2142*i**2 + i + 1. Let b be h(2). Let j be (b\/24348)\/((-4)\/(-98)). Let z = j + 1\/2029. Find the common denominator of 51\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 + 5*u**2 + 9*u + 9. Let g(p) = -2*p**3 - 2*p**2 + p - 9. Let i(v) = v**3 - v + 1. Let w(l) = -g(l) - 5*i(l). Calculate -4*h(o) + 9*w(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y**(2\/5)\/y)*y)\/y)\/y**5)\/((y\/y**(-1))\/(y\/(y\/(y\/y**(-1\/9)))))*(y**(-6)\/y)\/y**(2\/9)*y*y**2*y**(1\/6)*y assuming y is positive.\nAnswer: y**(-661\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 38723768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and 0.219?\nAnswer: -5.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -16*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvtvvvvvvvttvvtvvtv. Give prob of sequence tttt.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + -2 + 1 + -2. Let w = x + -5. What is the greatest common factor of w and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -185*t + 1276. Let k(w) = 94*w - 640. Let h(f) = -9*k(f) - 4*u(f). Differentiate h(r) wrt r.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 10*q + 46. Suppose -4*m - 219 = -55. Let l = q - m. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*b**3 - 2*b + 2*b + 140*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*a + 54, q - a = -23 + 4. Let m be (-67)\/(-5) + (-2)\/5. Let n = m - q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-43)\/817 + -2 + (-940)\/(-532). What is the closest to -4\/5 in -1, r, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117331357 is divided by 80254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -x. Suppose s + x = 2*s. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, -135, -6 in increasing order.\nAnswer: -135, -21, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v**4 - 4\/3*v**3 - 5 - 2\/5*v**5 + 0*v**2 + 0*v. Find the third derivative of r(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 1364*r - 12816. What is t(263)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 3*z - 9. Give x(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 4*l - 30.\nAnswer: 2*(l - 3)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5*h + (-2 + 0 + 4)*(h + 2*h - h))*(12*h - h + 4*h + (-3 - 1 + 3)*(3*h + 0*h - h))*(4*h**2 + 4*h**2 - 3*h**2).\nAnswer: -65*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 690260964 to the power of 1\/3, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 153 (c) 0.5 (d) 455\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, -2, -1112, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10240162.\nAnswer: 2, 89, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 198 (b) 3 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3834, 29168, 97892, 231702, 452294?\nAnswer: 781364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1982, -3657, -5340, -7031?\n\"Answer: -4*l**2 - 1663*l - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 1)\/(6\/12). Suppose -20*i = -g*i - 24. Solve i + 1 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23*p**3 + 3*p + 3. What are the prime factors of x(-2)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269 + 265. Let t be (1\/(-8))\/((-6)\/(-8)). What is the third biggest value in 2\/3, x, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*g**2 + (g + g - g)*(-2*g + 0*g + g) - 4*g**2 + 18 - 18 + 227*g - 227*g - 13*g**2.\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0167 + -286.9833. Let u = o - -286.9. What is the closest to u in 172, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6576*i - 2064696. Calculate x(-314).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16212 and 2316?\nAnswer: 16212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgt when three letters picked without replacement from gtnsnt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97583891219\/1285 + 75940782. Let b = r - 6\/257. Find the common denominator of b and -44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -177\/377 - -7\/13. Which is the third biggest value? (a) 3\/4 (b) -4\/7 (c) 0.5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6117219km in meters?\nAnswer: 611.7219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*s - 232*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.098 - 0.098. Let p = 69 - z. Sort -1\/3, 9, -3\/4, p.\nAnswer: p, -3\/4, -1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374696141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441290 is divided by 2566?\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96525 and 18.\nAnswer: 1737450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 5*k - 3*k)*(k + 2*k + 0*k) - 3*k**2 + 4*k**2 + 3*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/5*i**3 - 12\/5*i**4 + 0 - 4\/5*i**5 + 0*i + 0*i**2 = 0. What is i?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 28*l**5 + 1028*l**4 + 8412*l**3 - 3524*l**2 - 8440*l + 2496 = 0.\nAnswer: -24, -13, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13632 = 725400*u - 724832*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.62 - 2.9. Let q = l + -48.72. Let k = 48.5 + q. What is the third biggest value in 1.5, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 54\/10)\/(2\/(-7795)). Suppose 59 + 1253*q + 5*q**3 - 115*q**2 - t - 453*q = 0. What is q?\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14686425 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(0*s + 5*s - 30*s).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*h - 9 = q, -h = 3*q + 17. Let w be h + 2 - ((-3 - -2) + 259). Let c = w - -450. Calculate the highest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -37 + 20 + 31?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4276, -4204, -4108, -3982, -3820, -3616, -3364?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39347694.3473475 and 5.\nAnswer: -39347689.3473475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -472 - -473. Let m = 0.3 - -0.1. Put 10, m, x in decreasing order.\nAnswer: 10, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9730 + -6586. Suppose z = -5*t - 666. Is 4\/2*t\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 39794376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 411 + -235?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -952 + 5711\/6. Which is the closest to -2? (a) q (b) 24 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 - s - 1. Let q be c(-1). Suppose 5*a = -h + 4 - 0, a - h = -4. Let u = 1 + a. Is q at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 372 - 370.5. Let u = -2.61 - h. What is u rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3454379\/119030770 + -91\/3130. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 398 (c) 2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 60 = -4*d, 0 = 2*o - 275*d + 271*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 15*z**2 + 31*z + 233. Determine f(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(112)*-4)**2 + 5 + 1 + sqrt(343).\nAnswer: 7*sqrt(7) + 44806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 1, c: 3, l: 1}. Give prob of picking 1 v and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*j - 4*j, 33 = 4*t - 5*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 0 + 11 - 14) + -10 - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - 0.29. Sort -0.1, -4, w, 1\/9 in decreasing order.\nAnswer: 1\/9, -0.1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20001020020012 (base 3) to base 6\nAnswer: -152510222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 405158994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/60 - q**3\/3 - 3*q**2\/2 + q. Let l(s) be the first derivative of g(s). Differentiate l(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 55. Let c be (-2)\/8 + -5 + 29\/j. Suppose -g = 3*g - 2*h - 344, c*g - 2*h = 176. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + x = -87, -5*x + 111 = -3*q. Let j be ((-4)\/(-12))\/(2\/q). Calculate the common denominator of -3 + ((-721)\/6)\/j and -47\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 4*x)*(0 + 0 + 2 - 11 - 2 - 19 + (2 - 4 + 1)*(2 + 4 - 5)).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h + 1. Let g(d) = 117*d**2 + d - 5. Let v(w) = 4*f(w) + g(w). What are the prime factors of v(-1)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6394 - -0.2394. Which is the closest to 2? (a) -5 (b) -0.74 (c) 4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b = 92*j - 95*j - 126, 3*b + 9 = -3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12041, 12027, 11997, 11945, 11865?\nAnswer: 11751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5537319 + 2085*g**2 - 11074645 + 5537326.\nAnswer: 2085*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (280\/32)\/((-25)\/(-870))*1200\/14. What is the greatest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*y**3 + 38400\/11 + 39360\/11*y + 966\/11*y**2.\nAnswer: 6*(y + 1)*(y + 80)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.3 + 3. Let a = 0.7 - o. Let h = -0.3 + 2.3. Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88.7 + 100.7. Let t = -0.088 + 0.188. What is the fourth biggest value in -2\/3, 3, t, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234157 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5431876?\nAnswer: -1\/2715938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (59 - 1 - 2)\/1. Let z = -25 + n. Let t = z + -20. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 9960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32603, -32679, -32755, -32831, -32907, -32983?\n\"Answer: -76*f - 32527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 9632150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2310 + 10480. List the prime factors of x.\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 9*x)*(-570 + 653 + 701) + x + 2*x - 2*x.\nAnswer: -7055*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and -0.453?\nAnswer: 0.4077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1591, -1625, -1659, -1693, -1727?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00474058 to 5 dps.\nAnswer: -0.00474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/9 + 121*s**4\/3 + 1421*s**3\/9 - 1801*s**2\/3 - 718*s = 0. Calculate s.\nAnswer: -359, -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4310060115 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y - 18*y = -7056. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*f - 9, -o + 10 = -4*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 + 127*z**2 - 99*z**2 - 40*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 3574400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -21*z - 62. Let c be s(-15). Suppose 7*a + 4*a = c. Let y(u) = 3*u - 5. What is the remainder when a is divided by y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6787.\nAnswer: 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*x + 39, 0*x - x - 3*l - 3 = 0. Calculate the greatest common factor of x and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/10 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14008.\nAnswer: -14008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-2)\/2*(-14)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 45, 0, -5, -5\/3, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2758 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -4334413?\nAnswer: -4334412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 230*p**3 - 4*p**2 + 2*p - 3. Let m be s(1). Is m greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3660557 + 2?\nAnswer: -3660555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 1025, 1543, 2075, 2627, 3205, 3815, 4463?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 503*r**3\/6 + 174*r**2 + 9*r - 8. Differentiate k(p) with respect to p.\nAnswer: 503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-48)\/(-5))\/(-2))\/(9\/(-240)). Let g = -72 + u. Does 49 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*y + 27. Calculate the remainder when y is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -565488 - 1?\nAnswer: -565489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**7\/1260 - 5*q**4\/24 + 4*q**2. Let t(r) be the second derivative of n(r). Let d(x) = -9*x. Give d(t(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -387.02 - -387. What is the smallest value in 2\/5, -0.04, w?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0895 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -172553210*y + 37960352.\nAnswer: -172553210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, 56, 218, 434, 698?\n\"Answer: -l**3 + 36*l**2 + l - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3219 = -1790*y + 527*y - 6885 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiuiiiiiii. What is prob of picking 3 i?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**7\/2520 + m**6\/180 + m**5\/60 + m**4\/4 - 4*m. Let s(z) be the third derivative of j(z). Let c = 3 - 8. Calculate s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-275)\/11 + 9 - -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 16 - 6*x + 16.\nAnswer: 3*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 48*d - 13. Let k(z) = -48*z - 167. Let l be k(-4). Calculate the remainder when 476 is divided by a(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**4 - 2*i**3 - 2*i. Let g(t) = -10*t**4 - 3*t**3 - t**2 - 3*t. Let l(y) = -4*g(y) + 6*w(y). What is the third derivative of l(s) wrt s?\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g - 3*g)*(-1 + 1 - 5)*(-68 + 68 - g**2 - 4*g**4) + (3*g**3 - 3*g**3 - 2*g**3)*(2*g**2 + g**2 - 2*g**2).\nAnswer: -42*g**5 - 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 1386.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -359*b**2 + 52*b - 6. Let d(k) = 181*k**2 - 22*k + 3. What is 7*d(p) + 3*o(p)?\nAnswer: 190*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 52. Let m = -15 - r. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-33) - (-2)\/(-3). Let i = 47\/231 - 2\/33. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 770.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-23 - -17) + -2 + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 388, 402, 422, 448, 480?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233934 + 116971 - 3*o + 116976 + 6*o - 4*o.\nAnswer: -o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -270.\nAnswer: -11\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 63 - 43 = p, 5*y = 5*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 8. Suppose 24 = 20*i - 25*i + 2*j, 5*i + 2*j + 16 = 0. What is f(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by -22.\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 724260564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 2*s + 2, -5*k = -3*s - 27. Let p be (k\/38)\/(24\/(-16)). Let m = -257 - -773\/3. What is the nearest to 2\/5 in p, m, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 5*d**2 - 6*d + 4. Let k be x(6). Solve -g - 5*i - 1 = -k, -2*g - 9 = -5*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 998*b**3 + 507*b**3 - 16*b + 472*b**3.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/(-120)*(-54)\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 884*j**2 + 11960*j + 82400 = 0.\nAnswer: -5, 20, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 682.2565 milligrams?\nAnswer: 0.0000006822565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/140890 and 32\/6755?\nAnswer: 986230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 467651296 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a - 104 = 137*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 28 = -4*m - 4*s, -3*m - 4*s = -26. Suppose -5*q = -m*q - 36. Find the third derivative of -3*a**6 + q*a**4 - 12*a**4 - 5*a**2 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/150457?\nAnswer: 3\/150457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21121 (base 3) to base 5\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.104 - -3.0584. Round o to 2 decimal places.\nAnswer: 2.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 - (-70538)\/78. Let t = p - 14527\/16. Calculate the common denominator of t and -25\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 114 = 2*z, 0*j + 288 = 5*z + 4*j. What is the highest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 36. Suppose -p - 2*v = 3*p + o, -v + 22 = -5*p. Which is the biggest value? (a) p (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*k - 45 = 1, -3*k + 12 = 0. What is the smallest common multiple of s and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9991 - 9990.9993277. Round x to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 16 = -3*j + 4*o, 0 = -4*j - 5*o + 73. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 784\/12*2766\/(-3227)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3605, -3602, -3599, -3596, -3593?\n\"Answer: 3*b - 3608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85454 is divided by 7098?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:46 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -31*y + 9. Calculate g(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47178854759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose 5*h - 297 = -4*z, -h - 2*z - j*z = -51. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 10*r + 9*r - 4*r**3 + 3*r**2 + 1 + 7*r**3 as c + u*r + d*r**3 + v*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 5 = 5*j. Suppose -4*i - j*m = -8, -5*i + 9 = -2*m + 6*m. Let s(n) = 5*n**2 + 0 - 4 - i*n**2 + 5*n - n**3 + 3*n**2. Calculate s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 5, b: 1, j: 7, v: 1}. What is prob of picking 1 c and 3 j?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1824\/5*a + 6\/5*a**3 - 192\/5*a**2 - 768 = 0.\nAnswer: -4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rissriiiirr. What is prob of sequence ssr?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5119429 and 9\/84836252.\nAnswer: 593853764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/v**(-9))\/v)\/(v**(14\/5)*v))\/(v**(-1\/5)*v**(3\/8)))**(1\/8) assuming v is positive.\nAnswer: v**(241\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4\/4 + 2*b**3 - b**2 - 6*b - 7. Let v = -39 - -44. Suppose 3*o + 18 = -g, 1 + 11 = -2*o + v*g. What is w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -2\/9 (c) -1.8 (d) -0.023 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26406 - 1354?\nAnswer: 25032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 51*q**3 + 11*q**2 - 35*q. Let i(a) = -10*a**3 - 2*a**2 + 7*a. Let s(k) = 2*c(k) + 11*i(k). Find the second derivative of s(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2979 take away 375.99909697?\nAnswer: -376.29699697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:40 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152199?\nAnswer: 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 13. Is 2 a factor of ((-20)\/35)\/(m\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.983276 millilitres in litres?\nAnswer: 0.009983276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose -d + 1 = b, -s + 3*d - 3 = -2. Suppose -s*z = -3*z + 10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101214103 (base 5) to base 4.\nAnswer: -1210333111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 103 - 43 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760689?\nAnswer: 7, 251527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32789519102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 1084 = 1339 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/38)\/2*-21*10\/2100\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*(j*j**(-3\/8))\/j)\/((j*j\/(j\/(j*j**(-2\/25)*j))*j)\/j**(-2\/15)) assuming j is positive.\nAnswer: j**(-2807\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -191 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 21 - (-5 + 6 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/2629 and 28\/1177.\nAnswer: 281303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/6 + q**2\/2 + 21*q. Let f be x(-3). Let u be f\/10*(-75)\/(-5). Which is smaller: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 21. Let l = 5 - t. Which is the nearest to 0.1? (a) l (b) 4\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 5. Let r be (q\/(-2))\/(4\/8). Suppose 5*c - 105 = -4*y - y, -105 = -r*c + 2*y. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 609, 5, -10, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457324 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(881450\/97905 - 2\/(-4*(-1)\/18))?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 2*a + 2446, -108*b = -103*b + 3*a - 1744. Solve 0 = 35*v + b - 70 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 811 + -3?\nAnswer: 80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3218.\nAnswer: -5\/3218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let t(u) = 2*u**3 - 32*u**2 + u. Suppose 7*f - 331 = -324. What is f*t(n) + 5*d(n)?\nAnswer: 2*n**3 - 27*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17100 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12783*n - 12787*n - 22 - 282 to m*n + l and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-2 - -48) + (-5)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 20, 4*m + m - 23 = -f. Is 6 a factor of (18\/(-24))\/((-2)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1584, 5865, 12998, 22983, 35820?\n\"Answer: 1426*v**2 + 3*v + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 95\/(-15))*(4 + 2). Solve -4*k + 3*z = -z - 4, 5*k + 2*z = r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -8*o + 12. Suppose o*v = -z, -3*v = -v + 4*z. Find the common denominator of (v - -4)\/36*23 and 4\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.470399nm in kilometers?\nAnswer: 0.000000000007470399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 = -h - 0*h, 4*h - 3*q = 20. Suppose -m + h*m = 8. Suppose m*i - 14 = 78. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684 and 4099554.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/11)*u)\/u)\/u**(-2\/37) assuming u is positive.\nAnswer: u**(-89\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-2)*(14 + -5 - 11). Let k(q) = -q**2 + 4*q. Let f(n) be the third derivative of -n**5\/20 + 3*n**4\/8 + n**2. Determine p*k(w) + 4*f(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38164285069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41231, 82184, 123147, 164120?\nAnswer: 205103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60aa63 (base 14) in base 16?\nAnswer: 31b06f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3436 + -3436. Which is smaller: w or -9\/196?\nAnswer: -9\/196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r, 3169 + 16524 = 4*g - 5*r. Calculate the remainder when g is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from {k: 1, d: 4, u: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217158.\nAnswer: 2, 43, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153 or 1227\/8?\nAnswer: 1227\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(30\/15)\/(4*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*m**3 + 725*m**3 - 2281*m**3 + 739*m**3.\nAnswer: -155*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))\/f)**9 assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/5, -18990, -5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10063091 is divided by 16101.\nAnswer: 16067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1073, 2137, 3201, 4265, 5329, 6393?\n\"Answer: 1064*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1222, 4884, 10986, 19528, 30510, 43932, 59794?\nAnswer: 78096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 832 - 4184\/5. What is the third biggest value in 19, 3\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d**(-2\/33))\/(d**5*d\/(d*d\/(d**(-9)*d)*d)) assuming d is positive.\nAnswer: d**(196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 132.84, -0.5, -1\/6, 2\/253 in decreasing order.\nAnswer: 132.84, 2\/253, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429, 1713, 3861, 6879, 10773, 15549, 21213?\nAnswer: 27771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*y = -238*y + 122*y - 506. Solve -y + 46 = 28*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 21 = -2*c, 0*p - p + 9 = 2*c. Let g = 3 - -10. Let u be g - 1 - (7 - 4). Solve -2*r + 5*h - u = c*h, h - 16 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -9 - 6\/(-3). Let a be ((-504)\/(-5))\/4 + o\/5. Solve t + 4*p = -2*t + a, t + 1 = p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 19298.324.\nAnswer: 385966.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 538*j**2 - 63*j + 381. Is i(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*k + 4*k + 36 = 0, -k = 5*y - 39. Let p = -12 + 15. Suppose -y = 2*q - p*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:30 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*x + 15 = -0*a, -4 = -4*x. Suppose 28 = 2*f - 4*v, -a*f + v = 4*v - 122. Suppose -4*r + f = 2. Solve 0 = r*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 + -2 - (-12 + 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*m + 4659 = 563, -20 = 4*m. Suppose -3*s = -713 - a. Is s 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 465952?\nAnswer: 2, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33720 and -167\/3523740.\nAnswer: 7047480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.043 (b) -0.3 (c) 0.13 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-1 - 2*-2). Let w = t - -55. Find the common denominator of 85\/6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let v(n) be the first derivative of 4*n**3\/3 + n**2\/2 - 52*n - 9. Let l(o) be the first derivative of v(o). Calculate s(l(b)).\nAnswer: 64*b**2 + 16*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 134080000 rounded to the nearest 1000000?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Let y = n - 1. Suppose -v - 1 + 6 = -s, 4*s = 5*v - 25. Solve -5*m + b + 12 = s, 15 = b + y*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*b - 0*n - 6215, b + 5*n - 3110 = 0. Let t = b + -1570. Let a = t - 418. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 603*v**3 - 8*v**2 + 55*v + 6. Is s(3) a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -14. Suppose 3*o = w*o. Let h = 8\/21 - -2\/7. Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -73*l + 768. What is z(10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20955901?\nAnswer: 433, 48397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -9*y**5\/5 + 138*y**4 - 2941*y**3 + 5490*y**2 - 2700*y + 42. Let z(x) = 0. Calculate x.\nAnswer: 1\/3, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1 (b) 0.06 (c) 3 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257244688 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose 2*h - 10 = 0, 2*h = a*k + 33 - 7. Does 13 divide (6*2)\/(k\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0480321 micrograms?\nAnswer: 0.0000480321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + v**4 + 3*v + 2 - 4*v**2 - 2*v as l*v**2 + f + z*v**4 + s*v + b*v**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -954*(-3)\/10*5\/12. Let j = -118 + v. Let p = 5 - 7. Which is the closest to p? (a) -1\/2 (b) j (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-336))\/((-26)\/6)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -57*h + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53227 = -12569*f - 939724 for f.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 - c - 3. Let u be d(-3). Suppose -4*x = -u - 3. Suppose i = -k + 62, -5*k + 2*i + x*i + 340 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26064116 (base 7) to base 16\nAnswer: 242534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose -2*w + 2*z + 12 = 0, 3*w + k*w - 51 = -2*z. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*a - 8 - 7, 4*a = -2*r - 2. Let f(g) be the second derivative of 3*g + 1\/3*g**6 + g**2 + 1\/7*g**r - 1\/5*g**5 + 0 - g**4 - 1\/3*g**3. Factor f(q).\nAnswer: 2*(q - 1)*(q + 1)**3*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -7 + (-105 - -52)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9 = -0*u, -u = z - 116. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 - (0 - -1)). Let n(w) = -11*w + 1. Let h be n(-1). Suppose 3*v = 3*c + h, 5*c = c - v - 21. Is c > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*x - 318 = 0, -4*a + 5*x - 8 = -432. Let h = 48256\/35 + -9584\/7. Find the common denominator of (2 - a\/(-10)) + 0 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = -1. Suppose 0 = 3*d, 0 = -z*r + 5*d - d + 176. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(360) + -2*sqrt(360) + sqrt(360) + sqrt(360))\/(sqrt(20)\/sqrt(4)*-2 + sqrt(5) + sqrt(405)).\nAnswer: 3*sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + 462\/(-90)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31992 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqzzfqqq. Give prob of picking 1 t, 1 q, and 2 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 48 - g - g + g. Let v = -31 - -31. Does 16 divide h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnzzzts. What is prob of sequence zntz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6602, 6601, 6600, 6599, 6598, 6597?\n\"Answer: -o + 6603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3751, -3801, -3841, -3841, -3771?\nAnswer: -3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 2\/17 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/12 in -2, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/30 - (-4)\/12.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 1 + 7. Find the third derivative of 0*i**s + 3*i**2 - 2*i**2 + 6*i**4 - 3*i**2 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/440 - (0 + (-204)\/(-100))\/((-78)\/15)?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69635879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0365 - 0.1467. What is t rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 605*f**2 - 15755740*f + 102579893780 = 0.\nAnswer: 143234\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-6))\/(3\/36). Suppose -4*u - 8 = -g. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, z: 5}. What is prob of picking 3 z and 1 m?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:02 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 20 = 5*i, -2*i + 7*v = 6*v + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1\/4*q + 1\/4*q**5 - q**2 + 3\/2*q**3 - q**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -36*q + 84. Let s(r) = 25*r - 78. Let o(i) = 2*c(i) + 3*s(i). Determine o(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 - 294. Suppose 3*x - x = 8, -d*o + 70 = -5*x. Solve 46 = -v + o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1675, -3350, -5025?\nAnswer: -6700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132 - 135 + 268 + 75*m**2 to c + l*m + o*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 373 = -193. Let q = b - -558. Suppose -f - 35 = -q. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {v: 2, p: 1, c: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57181900 and 245120.\nAnswer: 7660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3060, -12233, -27520, -48921?\n\"Answer: -3057*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*40\/(-24)*42\/(-70)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3) - (-23 + 372). Let i = 353 + w. Let x(j) = -4*j + 23. Give x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 305764816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471 divided by -39?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 46, 3, 97, 8, 2 in ascending order.\nAnswer: 2, 3, 8, 18, 46, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 588*i + 1090*i - 36*i**3 - 507*i + (-2*i**2 + 2 - 2)*(2*i - 3 + 3) as w + b*i**3 + d*i**2 + y*i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338307 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8648316 is divided by 434?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p = 68*p - 324534. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/268272 and 41\/16560.\nAnswer: 1341360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*l = 3*y + 2, 22063*y - 22066*y - 11 = -5*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let f(n) be the first derivative of n**3\/3 - 14. Give i(f(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2080, -2060, -2040, -2020, -2000, -1980?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 136 = -6*f. Suppose -4*y + 5*t + f = 0, 2*y - 12 = -3*t + 20. Solve 3*i + y = -q - i, -17 = 2*q + 5*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100001001?\nAnswer: 100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*z = -122*z + 960. Suppose -o + z = 31*o. Is o >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.07 (b) 4\/9 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -3) + 1 + 4 + 49. Suppose -3*m + m + t = 0. Solve 3*a = -2*a - m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319.7637 rounded to one decimal place?\nAnswer: -1319.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-56)*4)\/((-6)\/(-4)). Sort d, -1\/11, -1.5, -0.4.\nAnswer: -1.5, -0.4, d, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26409\/154424 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltdq when four letters picked without replacement from {d: 1, q: 2, t: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -3. What is the remainder when (l\/2)\/((-3)\/(-4)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r + 7. Let v be z(-3). Calculate the greatest common factor of 44 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a + 4. Let p(x) = -2*x + 3. Let z(t) = 5*t - 15. Calculate the remainder when z(7) is divided by p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 times 86707?\nAnswer: -17948349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 24*r + 25 = w, 3*r = -5*w - 15. Sort 16, r, 0 in descending order.\nAnswer: 16, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 748650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-88)*(-384)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:32 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 0.056271159208?\nAnswer: 0.026271159208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/17 (b) -2\/13 (c) 410 (d) 4 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/6 - 5*x**3\/6 - 2*x**2 + 2*x - 2. Let k(y) be the first derivative of w(y). Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**5\/120 - r**4\/24 - 5*r**3\/3 - 3*r**2\/2 - 92. Let z(j) be the third derivative of w(j). Calculate z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 125.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 0 + (-16 - -21 - -7).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 58*x - 8 = 0. Calculate the least common multiple of x and 28\/(2 + 0\/1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 - 214*d**3\/7 - 1066*d**2 - 84050*d\/7.\nAnswer: -2*d*(d + 25)*(d + 41)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4*1 - 1290\/(-172)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 - 88 + 80 - 4*f**2)*(4*f - 4*f + 2*f) - 66*f - 71*f + 109*f**3 + 139*f.\nAnswer: 87*f**3 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140481 is divided by 10034.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9414103 and 252121?\nAnswer: 4757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (5 + 174 + -69) - (-4 - (0 + 0))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -7 + -3 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200 - 264 = 131*z + 337*z. What is the highest common divisor of z and 8578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10001010100011?\nAnswer: -10001010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7541 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.349 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11622 and 83031?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let p(f) be the third derivative of f**5\/30 - f**4\/8 + 111*f**2. Let w be (0 + -5 + 3)\/2. Give w*p(h) - 3*b(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-247)\/(-91) - (-5)\/((-70)\/(-4)). Let p = w - -202. List the prime factors of p.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*f - 74*f + 244*f to y*f + m and give y.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/2 - 2*o**3\/3 - 5*o**2\/2 - 2*o + 204. Let x be r(-1). Solve -s = v - 0*s - 2, -2*v = x*s - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z = 4*z + 238 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - c - 9*c = -x + 6, 5*x = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 5*d - 0*d. Let v be (-315)\/d - (-2)\/5. Is (-3 + -1)*v\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7651)\/1960*-4)\/(-1). Let d = u + 110\/7. What is the common denominator of d and (4\/170)\/((-1)\/35)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(36 - (-725)\/(-20))*10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43730 + 2?\nAnswer: -43727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.4. Which is the nearest to 2\/11? (a) -4 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 1, -8, 7, -4, -85 in increasing order.\nAnswer: -85, -8, -4, 1, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -369*w**2 - 8*w + 9. Calculate f(1).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 388*w**2 - 8512*w - 54096.\nAnswer: -4*(w + 14)**2*(w + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12647039 is divided by 896.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9548 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/21*1\/8*-2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 5. Let j = s + 23. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7285945 and 51?\nAnswer: 21857835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 902143, 902137, 902119, 902089, 902047, 901993, 901927?\n\"Answer: -6*i**2 + 12*i + 902137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*h + 21*h + 28*h - 6)*(-2*h + h + 0*h).\nAnswer: -2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42753 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 - k. Let b(v) = -2*v - 19. Let r = 41 - 50. Let a be b(r). Give h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301 (base 5) to base 16.\nAnswer: -2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 268, -0.3, -11\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1484340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 29*y**2 + 25*y + 9. What is the remainder when t(-28) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/10022 - 506117\/60132. Calculate the common denominator of v and -70\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.863977325 rounded to five decimal places?\nAnswer: 0.86398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 43, 128, 247, 400, 587, 808?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - sqrt(1377)*-4)*3)**2*1.\nAnswer: 309825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -652 in -3\/8, -51, -0.4, 0.3, 1\/10?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*s**2 - 321*s**2 - 318*s**2 - 271*s**2 + 1228*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -1 + 31. Let x = -1 - c. Solve 0 = 2*j - x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*q = -3045, -47*h + 51*h - 12126 = -2*q. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 2102 = 1968. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 12*r - 7*r - 12*r + 6. Let b be h(-7). What is the third derivative of -3*i**6 + b*i**6 + 3*i**6 + 8*i**2 + 0*i**6 wrt i?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 5 + -7 + 4 - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/1015 - 24263\/6090. Find the common denominator of w and -10\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1034655075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - 32. Let f be (-1 - z)*(-3)\/(-6). Determine k, given that -37*k**2 + 0*k**4 + 5*k**4 + 25*k**3 + f*k**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50167 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 z = 27 + 37. Let w be (-2)\/((-4)\/16*1). Calculate the highest common factor of w and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + 7. Suppose b = -0*j - 4*j. Let q(w) = w**3 + 9*w**2 + 6*w - 5. Give q(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 8. Let s be w(6). Let d(g) = -7*g - 12. Let b be d(-3). Let n = b - s. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 24154*c\/5 - 145853929\/5.\nAnswer: -(c + 12077)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*a + 5*u = -193*a + 70, -5*a + 2*a = u - 14. Let i(d) = -3 - 4*d + 2*d + 0 + 2*d**2. Let l be i(3). Solve a*o = 3*o + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + 35. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 + 164*t**4 - 336*t**3.\nAnswer: 2*t**3*(t - 2)*(t + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505348.98 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-192)\/(-14))\/(-8))\/(2\/(-7)). Let q(p) be the first derivative of p**2\/2 - 6*p + 2. What is q(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 + s. Let o(i) = 9*i**2 + 2*i. Calculate -6*o(j) + 13*z(j).\nAnswer: 11*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/3*h**3 - 41*h**2 + 0 + 0*h + 1\/60*h**6 - 17\/60*h**5 - 1\/3*h**4. What is the second derivative of f(a) wrt a?\nAnswer: 12*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442 and 2302837?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 5\/63?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5015*9.1.\nAnswer: -45636.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -23. Let z be 11\/(-22)*s*-2. Let w = -162 + 165. Sort 0, z, 5, w in decreasing order.\nAnswer: 5, w, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.1. Suppose -27*f = -5*f + 44. Let r be f*((-100)\/8)\/(-5). What is the nearest to 0 in 1\/6, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0\/f)\/f)**(-1\/53))**(4\/19)\/((f**7\/f)\/f*f**5*(f*f**(-6))\/f*f*(f*f\/(f*f\/(f\/(f*f**(2\/19)*f))*f*f*f))\/f) assuming f is positive.\nAnswer: f**(6\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*f + 97*f + 101*f + 96*f + 74*f - 464*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231842 is divided by 58659.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:06 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37389*j**3 - j**2 - 2877*j + 4?\nAnswer: -224334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3 + 0 = -4*c, -2 = 3*c + k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let v(h) = -9*h - 15. Let x be v(-2). Let d = 1 + 1. Let n(p) = 14 - x*p**d - 14. Give n(m(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.261 rounded to one dp?\nAnswer: 32.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -336*j**2 + 252*j + 252. Let t(l) = -l**2 + l + 1. Let g(m) = q(m) - 252*t(m). Let z(v) = -11305029 - v + 11305029. Determine z(g(a)).\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*z + 5, 46*n - 51*n = 3*z + 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-5\/8))**(-4\/41)\/((t**(-1\/4)\/t)\/(t*t*t**2*t)*(t*t\/(t\/(t\/t**1)))**(-16)) assuming t is positive.\nAnswer: t**(3639\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*((u*u**(1\/15))\/u)\/u)\/(u**(5\/7)*u)*u*u\/(u*u**(-2\/9))*u**14\/u)**(7\/6) assuming u is positive.\nAnswer: u**(2138\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1980 and 8820.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -69. Let a be 9\/g - 1*-4. Which is smaller: a or 4\/33?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54587 is divided by 6813.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -2*j = -2*x + 54, 36 = 2*x + 4*j - r*j. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 6*m - 40, 10454*m - 10449*m - 5*d - 40 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 1, 0 = 5*w + 2*k - 0*k + 7. Let n be 38 + 2\/1*w. Suppose 3*y - n = -0*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211187 is divided by 70385.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2677852 micrograms in kilograms?\nAnswer: 0.0000000002677852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjtjjjtjjjjjjjjjjt. What is prob of sequence jjj?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x. Suppose -2*c + g - 5 = x, 4*c = 2*c + 2*g - 10. Suppose 0*f + 5*f - 285 = c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9822029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4218)\/(-30) - (-36)\/(-60). What is the greatest common factor of x and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -26156, -21 in ascending order.\nAnswer: -26156, -21, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18294 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108150 and 55002.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2559.2 - -2356. Let z = y + 203. Sort -7, -0.3, 0.07, z.\nAnswer: -7, -0.3, z, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 1\/24*g**6 + 0*g + 55\/6*g**3 + 19*g**2 + 0 + 13\/12*g**5 + 115\/24*g**4. Let n(y) = 0. What is y?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.35121357 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by 7?\nAnswer: -263\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 1587.4.\nAnswer: -7, 3, 1587.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-25 - -63) + -26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-40))\/((-30)\/26640*-37).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37044 by 441.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 33310000 to the nearest 100000.\nAnswer: 33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24399 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 555619910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 34 + 4 = 0. Suppose -s*h = -9*h + 15. Suppose -h*k + 112 = 32. Solve -5*u = -u - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 - 78*z - 194. Give i(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 2, t: 2, m: 3, k: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -18\/137, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 12, 21, -1\/4, 0.06?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 20*c**2 - 51*c + 6. Calculate the lowest common multiple of g(17) and 14525.\nAnswer: 87150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -40034?\nAnswer: -40030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91708 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2893 is divided by 820.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -246, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550257853?\nAnswer: 17, 127, 281, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 8*l = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1475.1 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 7*g + 4*g**2 - 24*g**2 + 45*g**2 to the form v + u*g**2 + d*g and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 56733b?\nAnswer: 567352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 880066442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72, -64, -54, -42, -28, -12?\n\"Answer: a**2 + 5*a - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4192 = 152*g - 5972 - 15396 for g.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5 + 50*q**4 - 155*q**3 + 130*q**2 + 140*q - 200 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38225 + 3631439\/95. Calculate the common denominator of -70\/3 and l.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105\/164713 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 212759738 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: Let p = 38 - 41.9. Let o = p - 0.1. Let x be (2 - 0)*(-1)\/(-12). What is the third biggest value in x, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*a**6 + 54*a**2 + 3 wrt a.\nAnswer: -19200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5834 is divided by 523.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 56288299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2569*u + 15391. Give m(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2833\/3 + 838571\/888. Let p = 599\/2072 - k. Solve 0*a**3 + p*a**4 + 0*a + 2\/7 - 4\/7*a**2 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (8 + -21 + 4 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385650397 to the power of 1\/3, to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23243 and 1232.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -16 - -92) + -32.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -501 and 1?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17202 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2. Let v(d) = 3*d + 712489626. Calculate v(z(c)).\nAnswer: -6*c**2 + 712489626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 24 = -5*k - 69, 2*k = -10. Suppose 5*f + a*u = -7 + 11, 0 = f + 2*u + 4. Solve f*l = 4 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y + 11. Give a(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.1, 2\/17, -0.2, -15?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2\/2 - 349. Let i(q) = 113*q. Give i(x(y)).\nAnswer: 113*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 0.3, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 25*y + y**3 - 7*y**5 - 5*y**2 + 29*y + 6*y**4 + 10 - 49*y. Let z(h) = -3*h**5 + 3*h**4 - 2*h**2 + 2*h + 4. Let j(f) = 6*q(f) - 15*z(f). Factor j(p).\nAnswer: 3*p**3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*r + 12, 3*m = -14*r + 19*r - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 - 6*l - 11. Let g(b) = -3*b**2 + 2*b + 4. Let d(y) = 17*g(y) + 6*s(y). Let o be d(-3). What is the highest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 10*m**2 - 9*m - 3. Let k be x(-9). Let p be (k + 4)\/(2\/16). What is the greatest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*h = -138*h + 3. Sort -21, h, 4, 7.\nAnswer: -21, h, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Suppose 4*n + 4*j = -0*n + 8, 4*n - 12 = -3*j. Calculate the remainder when ((-34)\/(-3))\/(d\/(-3)) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -98. Suppose -5*f + 424 = -4*j, -p*f + f - j = -419. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26665 - 45509. Is c\/70*(-5)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i\/(i*i**(-6\/5))))\/i)\/i)**(-5\/3)\/(i\/(((i*i**(2\/17)*i)\/i)\/i)*i)**(2\/31) assuming i is positive.\nAnswer: i**(3625\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69013684 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 126*r**3 - 125*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/75 - 9*v**5\/25 - v**4\/30 + 6*v**3\/5 + 2*v + 77. Factor m(s).\nAnswer: 2*s*(s - 18)*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*b = -82, -a + 5*a - 2*b - 64 = 0. Suppose t = 2*t - a. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9724 - -0.4724. Let g = -14 - -13.83. What is the third smallest value in h, -1\/10, g, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 970.564 hours?\nAnswer: 3494030400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.66, -0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1 (c) 7 (d) 0.5 (e) -1 (f) -125 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*b - 6*b - 9*b - 12)*(385*b**3 + 382*b**3 - 765*b**3 - 464*b**2).\nAnswer: 4*b**4 - 952*b**3 + 5568*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314510.857 - -314291. Let o = -220 - g. Round o to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3027 in -0.7, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9791, -9901, -10011?\n\"Answer: -110*p - 9681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/6 + 1771*h**3\/6 + 19723*h**2\/3.\nAnswer: -h**2*(h - 1793)*(h + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16082 + -16082.0002609. What is d rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)\/(-1) - (-8932)\/3528. Let j = h - 2\/63. Let f = 1.4 - -0.6. Which is the second smallest value? (a) j (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/2 - -47) + -8 + 5. Suppose k*z = 47*z. Suppose z*u = 7*u - 497. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 - 7. Let z(f) = f**2 - 1. Let o(q) = -3*n(q) + 21*z(q). Determine o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpddddpdhhdhhpp. What is prob of sequence dddp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 3. Let x be c(-4). Suppose 37*h = 42*h + 40. What is the units digit of h + x - (0 - 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1053)\/252*-14)\/9\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4368 and 3250576?\nAnswer: 126772464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1. Let f(p) = -14*p - 2. Let a(j) = -j + 1. Let r(c) = -12*a(c) + f(c). Let u be (-10)\/(-14) + 10\/35. Determine u*r(y) + 12*k(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 474 - 470, -4*o - 64729 = -3*s. 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 the second derivative of -52392039*p**3 + 55256*p + 1094 wrt p?\nAnswer: -314352234*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssts when four letters picked without replacement from {t: 4, s: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*r = 3*r + 26, -2*r = -10. Let p be 1\/(o\/(-32)*4). Is 0\/(4\/p) - -177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 8*h**2 + 8*h + 7. Let y be t(9). Let k be (y\/(-3) + 0)*30. Solve 4*r = 4*n - 20, -4*r = -0*n - 5*n + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j + 9*j - 1 + 1 - 45*j.\nAnswer: -59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -3\/7 (c) -2 (d) -0.1 (e) -0.2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2*w**7\/35 + 3*w**4\/8 - 4*w**2 - 5. Let t(h) be the second derivative of n(h). What is the second derivative of t(l) wrt l?\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84.41593l?\nAnswer: 84415.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96677 - -223500. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 14*a - 1)*(-3*a + 0*a + 4*a) to w*a**2 + p + g*a and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8842 - -8842. Let d be ((-20)\/(-6))\/(18\/27). Solve r - d = -z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwgh when four letters picked without replacement from wwccwcwgwcccchww?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 11*r**3 + 21*r**3 + 80*r**3.\nAnswer: 97*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:02 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 26 + 14 = 0. Solve 0 = -z*p - 3*n + 17 + 7, n = p - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 4. Suppose 4*q - 14 = 6*q. Let i(t) = 20*t - 26. Let r(z) = -13*z + 17. Let a(y) = 5*i(y) + 8*r(y). Determine q*u(x) - 5*a(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*k - 28909, -208*k + 210*k = -4*v + 11600. Calculate the greatest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9866*c - 187458. What is p(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.2, 1\/16, 4, -1\/2, -0.4, -3.21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**3 + 24*g**2 + 2*g - 677. Let s(m) = -4*m**3 - 15*m**2 - m + 451. Give 5*k(b) + 8*s(b).\nAnswer: -2*b**3 + 2*b + 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -784*x + 28000. Determine r(35).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-36)*(-120)\/(-40)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - ((-1728)\/60)\/(-8). Factor 12\/5 - n*x**2 + 2\/5*x.\nAnswer: -2*(x - 3)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 150*j**2 - 8*j + 13. Let x be m(3). Let u = x - 21473\/16. Find the common denominator of u and 35\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {o: 9, n: 3, y: 4, r: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 4}. What is prob of sequence qll?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g - 4435 = -51176. Is -1086 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - y = 51, -y - 5 = -6*y. Let r(j) = j - 13. Let z be r(f). Solve z = 2*u - 8 - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/102*((-2656)\/256 + 10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.940383kg in grams?\nAnswer: 940.383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 45. Let s be ((-4)\/k)\/((6 + -4)\/12). Let w(q) = q**3 + 4*q**2 + 2*q - 1. What is the hundreds digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5070.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 - 2 = 0. Suppose -4*a + 16 = p, 5*p - a = k*p - 4. Suppose p = q - 4*q. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1106331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796005292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 60*b**3 - 5*b**2 + 3*b - 3. Let m be z(1). What is the highest common divisor of 7095 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/12)\/(13\/(-468)). Calculate the highest common divisor of f and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14625860 = 104*j - 9830676. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46149 equal to -7245178\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.612 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 8. Let x be m(-7). Let h be (x + 11)*(-10)\/(-25). Let s = 3 - 1. Which is the second biggest value? (a) s (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1472*h + 1513*h = 810529. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*y - 235*y + 86*y - 7*y**3 + 72*y.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 8. Suppose -4 + c = -3*o + 4*n, 5*o - 4*n = -4. Suppose -3*q + q + 278 = o. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7828.01 weeks?\nAnswer: 78906340.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = -2*p - 2, 0 = -5*p + 3*f + 6. Suppose p*j = 80 + 34. Is (j\/(-3))\/((-2)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-3\/16)*w)\/(w*w\/(w\/(w*w**(-8)))) assuming w is positive.\nAnswer: w**(141\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 19\/4 - (-12)\/48. Solve l*z - 5*z = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + d - d - 4*d. Let j(i) = 39*i + 27. Let a(r) = -3*r - 2. Let p(w) = 27*a(w) + 2*j(w). Determine p(o(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1440 and 13\/672.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68.8239 and -26?\nAnswer: -1789.4214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12853 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 9*f - 8*f**3 + 7*f**3 + 16 + 13*f**2. Let m be k(12). Suppose -20 = -m*i, -5*i = 2*n + n - 154. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 31*m**2 + 0*m**3 + 0 + 15\/16*m**4 + 0*m + 1\/40*m**5. Suppose z(k) = 0. Calculate k.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07439209 to four decimal places.\nAnswer: 0.0744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (293*j**2 + 322*j**2 - 6*j**2 + 3*j**2)*(-2*j - 2*j**2 + 2*j)*(1 - 2 + 2) as q*j**4 + t*j**3 + x + v*j + o*j**2 and give q.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2034344, 2034382, 2034446, 2034536?\nAnswer: 2034652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 1. Let l(s) be the first derivative of -5*s**2\/2 + 7*s + 11664. What is l(j) + 6*p(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 3. Suppose 0 = -4*x - 15 + 3. Let s(q) = -5*q + 2. Give x*s(a) + 2*l(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 + -83492.09638.\nAnswer: -83381.09638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145532 - -2714468. What is s rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -5*t + 4*t + 22. Let l = 48 - 33. Solve t*b + 18 = -2*p, 4*b - 3*p - 7 = -l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*g - 7, 0 = -0*a - a - 3*g - 9. Let o be 0\/(a\/2*2). Suppose -f = -o*f - 5. Solve 10 = -f*c - 0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:02 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7994741?\nAnswer: 73, 109517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 + 465*q\/2 - 926.\nAnswer: -(q - 926)*(q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-10 - (0 - -7)) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 33. Let t be (-3)\/9 + (-48)\/d. Let z(b) = -b - 1. What is z(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1987939, 3975874, 5963809, 7951744?\n\"Answer: 1987935*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5\/7 + 64*r**4\/7 - 368*r**3\/7 + 968*r**2\/7 - 1164*r\/7 + 72 = 0. Calculate r.\nAnswer: 1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 g when three letters picked without replacement from oiigiihih?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 53 = 3*y - 20, 3*y + 45 = 5*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/4*b**3 - 1\/8*b**4 - 13\/2*b**2 - 27\/8 - 33\/4*b.\nAnswer: -(b + 1)**2*(b + 3)*(b + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1148 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**6 - 1\/12*p**4 + 0*p**3 + 0*p**2 + 1\/14*p**7 - p + 0*p**5 + 0. Find the third derivative of j(h) wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9635425 years to decades.\nAnswer: 0.09635425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let y be 12\/(-66) + (-1104)\/(-22). Let n = y + -13. Let d(o) = -55*o - n*o + 75*o. What is h(d(z))?\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 5. Let w(y) be the first derivative of -y**3 - 6*y - 1. Let n = -40 - -34. Let a be (-228)\/44 - n\/33. Calculate a*w(c) + 6*g(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, -6, -1, -24 in descending order.\nAnswer: 2, 1, -1, -5, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 46*l - 51*l. Is (l\/28 + (0 - 1))*-3548 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*u**5*w**2 - u**5 + 16*u**2*w**2 + 2*w**2 wrt u?\nAnswer: -2700*u**2*w**2 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 17. Suppose 3*u + 0 - 12 = 0. Suppose 3*q - 13 = 5*t, u*q + 7*t + 36 = 3*t. What is the second biggest value in y, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.63 (b) 887 (c) 2.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14*k - 456 = 11*k, -440 = 2*n + 5*k. Let h = 98 - 321. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -65\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*v + 233*v = -8134 for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(19\/10 - 2). Let f = 62 + z. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 466303, 466302, 466301, 466300, 466299, 466298?\n\"Answer: -q + 466304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 4*z - 11. Let u(j) = -18*j**2 - 24*j - 66. Let a be (-40)\/7 + 92\/(-322). Let c(i) = a*u(i) + 39*q(i). What is the derivative of c(m) wrt m?\nAnswer: -18*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -37*v + 590. Calculate the smallest common multiple of a(14) and 84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -57.8.\nAnswer: -924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1686 and 1646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5*25\/10. Let y(g) = g**w + 5 - 8*g - 5. Suppose -5*r + 19*m + 28 = 22*m, 5 = 5*m. Let p(j) = -j**2 + 5*j. Determine r*y(o) + 8*p(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -237381?\nAnswer: 1424286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 4. Suppose 17 + 1 = -4*u + 2*r, -23 = 4*u - r. Let h be f(u). Suppose h = 3*k - 3. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97209 by -1543.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32794 is divided by 7780?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.1, -5, -2, 8, -1086?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 1233, 3, 1661.\nAnswer: -3, -1, 2, 3, 1233, 1661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -121, -179, -237?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/3 - 185*y**2. Let q(c) = -33*c**2. What is d(q(h))?\nAnswer: -264*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -92752.63 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 145.5*0.06\nAnswer: 8.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 c when four letters picked without replacement from tdcttdcdttddtt?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 10065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66664979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2002 and 485030?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 4*o**2 - 3*o + 4. Let r(l) = 2*l - 5. Let v be r(4). Suppose -v*s = -15 + 3. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*m**2 - 2585*i**3*m - 2*i*m**2 + 513*i*m + 3*m - 1 wrt i.\nAnswer: 6*i*m**2 - 15510*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 54330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g. Let i(x) = 169*x**2. Determine m(i(j)).\nAnswer: 2366*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -64374715 not equal to -64374716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwwg when four letters picked without replacement from {h: 8, g: 1, b: 1, w: 6}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 5. Suppose -19*r + 6*r = -26. Calculate z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-8)\/6))\/(46*(-3247)\/35144)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 205*j + 30*j**4 + 26*j**4 + 0*j**2 - 78*j**4 + 26*j**4 in the form z*j**2 + l*j + r*j**3 + o*j**4 + g and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*h + 2, -8 = f + 3*h - 6*h. Let i be 4\/6*6\/f. Let d = i + 9. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, 638, 5\/23, 5, -0.1 in descending order.\nAnswer: 638, 5, 5\/23, -0.1, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**5\/5 + c**4\/3 - c. Suppose w(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-70)*10)\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + 2*g - 1. Let z(d) = -11*d**2 + 43*d - 6. What is 2*p(b) - z(b)?\nAnswer: 3*b**2 - 39*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5156, -9850, -14362, -18686, -22816, -26746, -30470, -33982?\nAnswer: -37276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13868.218 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 25. Solve -4*i - 12 = 4*v, y*v = i - 0*i - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 30 = 41*p. Put -11, 5, p in ascending order.\nAnswer: -11, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1207 + 76*j - 2518 + 1218.\nAnswer: 76*j - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 111780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 55\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15494 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -455*j**4\/24 - 2315*j**3\/6 + 2900*j**2. What is the derivative of w(q) wrt q?\nAnswer: -455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389641448074 - -0.05.\nAnswer: -389641448073.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 909*h**2 - 4 + 912*h**2 - 10*h + 2*h**3 in the form m*h**2 + f + y*h + q*h**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 17*j + 1962 = 0. Calculate the greatest common divisor of 218 and j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 12*b**2 - 5*b**2 + (2 - 7 + 3)*(b - b + 2*b**2) + (12 + 35 - 8)*(b**2 - 5*b**2 + 2*b**2) to the form i + f*b + d*b**2 and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 759 - 758.9997888. What is v rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxqu. What is prob of picking 2 u and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*j - 3 = 38, -z - 2*j - 11 = 0. Let g(o) = -o**2 - 19*o - 90. Let f be g(z). Solve 4*u + q - 3 = -2, f = u - 4*q - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368829040.\nAnswer: 2, 5, 4610363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -48636?\nAnswer: -4863c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -217.\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-31)*s**(1\/59)\/s*s*s**30*s**(-5) assuming s is positive.\nAnswer: s**(-294\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7447 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -81*x + 2. Let h be c(-1). Suppose 0 = 5*v - 4*v - h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d + 81*d = -630. Let z = d - 117. What is the remainder when 18 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56274 and 6972.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from htgiiitgfggg?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae2 - 2?\nAnswer: -ae4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113298 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*f - 2352, -2*t - 1168 = -4*t + 4*f. Suppose -t = -4*b - 176. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 175 and -1558.\nAnswer: -1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (576\/(-1728))\/((-2)\/78)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/7*20\/80*13\/((-2808)\/(-378)).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.187031 in 4, -3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 10. What is k(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 5*h + 9. Let v(o) = 3*o - 4. Let n(u) = -3*p(u) - 5*v(u). Differentiate n(s) with respect to s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + -24 + -3 + (25 - (22 + -16))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-12 + 4)) + (9 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 40 + 8*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 - 115*h**3\/3 + 229*h**2\/2 - 3*h + 83. Let l(q) = 0. Calculate q.\nAnswer: 1, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k - 43. Let o(z) = 3*z + 29. Let t(y) = 8*o(y) + 5*r(y). Let h be t(15). Suppose -h = -3*d - 5. Which is greater: d or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94+39.18\nAnswer: -54.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2223916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*w. Suppose 2*m + 118*r + 28 = 120*r, 5*m + r = -22. Sort w, m, 0.\nAnswer: m, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 - -210. Solve -2*c - d - 16 = -6*c, c + r = -3*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39862543.\nAnswer: 7, 5694649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47816 and -22978?\nAnswer: 1098716048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let s = 0.03 - 8.03. Let y = 10 + s. Is m >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*i - 9 = 0, 2*d + 5307*i - 5304*i - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:04 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010110011 + 100?\nAnswer: -1110010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24805 and 820?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 17924 = 10*i - 8*i, 5*i + 22410 = 5*t. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)*(-5)\/(-15). Let x(g) be the third derivative of -g**2 + k*g + 0*g**5 - 1\/360*g**6 + 0 + 1\/24*g**4 + 1\/9*g**3. Factor x(n).\nAnswer: -(n - 2)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**2 + 82314452*j - 9264246 wrt j?\nAnswer: 2*j + 82314452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 5) + -9 - (-19 + 10 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, -212\/7, -1, 1, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/30 - g**4\/4 - 2*g**3\/3 - 4*g**2. Let w(i) = -i**2 - 3*i - 2. Let j(q) = 3*p(q) - 5*w(q). Suppose j(c) = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1338\/24889 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -705*v + 368*v + 354*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 next in -46, 166, 612, 1274, 2134?\nAnswer: 3174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by -163761?\nAnswer: -16\/12597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 - 3*i. Let q(t) = -6*t**3 + 4*t**2 + 791*t. What is 5*m(d) - q(d)?\nAnswer: d**3 + d**2 - 806*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450.9*127.\nAnswer: -57264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b = 52*b - 62*b - 405 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1755 = -5*r, r + 714 = 2*w + 5*r. What is the smallest common multiple of 33 and w?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/6 - 4*z**3 - 805*z**2\/2 + 16*z + 4. Find the first derivative of u(r) wrt r.\nAnswer: -4*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11171361161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151560.936s to days.\nAnswer: 1.7541775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106966134 divided by -11\nAnswer: -9724194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307\/5113 or 0?\nAnswer: -307\/5113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -195\/293?\nAnswer: -195\/293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11021 is divided by 164?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:50 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -202?\nAnswer: -202.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21586 is divided by 1798.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*z + 4, -92 = -2*z + 2*k - 68 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*h**4 + 2*h**3 - 4034*h**2 + 5*h - 13999671 wrt h.\nAnswer: 48*h**3 + 6*h**2 - 8068*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6026 times -31.99\nAnswer: 19.277174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 2. Let t(d) = -30*d + 14. Let c(l) = -11*l + 5. Let w(k) = 11*c(k) - 4*t(k). What is -2*s(o) + 4*w(o)?\nAnswer: -2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 76 and 140795\/1881 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 11. Let l be (-159)\/9 + 4\/(-12). Let j = l - -26. Calculate p(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 0. Let j = 0.38 + g. Let h = -5 - -5.1. Which is the closest to h? (a) j (b) 1\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386655 to the power of 1\/2, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -m - 5, -2*m - 3 = -r - 0. Let q be (-9)\/(-6)*16\/6. Let s be q\/(-2) - 2\/(-3). Do s and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-169476.\nAnswer: 50842.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3222, 2\/3, 0, 1115 in decreasing order.\nAnswer: 1115, 2\/3, 0, -3222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0424 in 1\/7, 0.02, 4\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 10. Let a(z) = -z**3 - 3*z**2 + z + 3. Let r be a(o). What is the tens digit of r - (3 - (1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/150 + 41*r**4\/60 - 26*r**3\/5 - 20*r**2 + 2. Determine w, given that y(w) = 0.\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 13*d + 6. Let q be k(13). Let l be ((-4)\/6)\/(1\/3). Let o be (1 - 0) + 3 + l. Calculate the highest common factor of q and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -989 - -1478. List the prime factors of (z - (-4 + 4)) + (2 - 5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13823, -27598, -41367, -55130?\n\"Answer: 3*v**2 - 13784*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 23 + 2*x + 0 + 0 + 2*x + 0 - x + x + x + 2*x + 0*x - x + (0 - 2*x + 0)*(2 + 3 - 6) + 1 + x - 1 - x + 3 - 3 to m*x + v and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3568 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Solve -2*y = -3*b + 3*y - 1, -y = -o*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (58 + -29) - (-1 - 2)) + -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*m + 166398, -5*a + 0*m + 3*m + 415995 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12642 = 17*u. Let q = -473 + u. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3172 and 76440?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.2, -0.4, -142, -0.206.\nAnswer: -142, -36, -0.4, -0.206, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = l - 5*m, -5*m + 16 = 41. Solve 2*g = -2*p + 8, -4*g + 3 = l*p - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547*o - 2160 = 2493*o for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -7*c**4\/8 + c**3\/6 - 9*c**2. Let u be y(1). Is (10\/u)\/((-2)\/24) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/6)*l*l\/l**(-17))\/((l*l**(6\/5)\/l)\/(l**(-1)\/l)) assuming l is positive.\nAnswer: l**(499\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 2.6597.\nAnswer: 3.1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 14740*v - 15750*v + 7968*v in the form t + r*v and give r.\nAnswer: 6958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -167128 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73405 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, b: 1, z: 4, e: 2, f: 2, c: 1}. What is prob of sequence zbe?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 483.1375 millennia in months?\nAnswer: 5797650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:35 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or 11.0024?\nAnswer: 11.0024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 2738601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1625, 3397, 5267, 7283, 9493, 11945, 14687, 17767?\nAnswer: 21233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-12))\/(-20 - (-15 + 14 - 10))?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589*-67824.\nAnswer: 39948336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298 a factor of 248679094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 13694517*r\/5.\nAnswer: r*(r + 13694517)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g. Let d(r) be the second derivative of r**6\/180 - r**5\/30 - 71*r**4\/12 + 50*r. Let j(c) be the third derivative of d(c). Give u(j(f)).\nAnswer: 16*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 293 = -5*i. 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 the remainder when 16281 is divided by 901?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 8264*j**2 - 16534*j + 8268.\nAnswer: 2*(j - 1)**2*(j + 4134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25082 is divided by 1370?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54634, 109229, 163810, 218371, 272906, 327409, 381874, 436295?\n\"Answer: -l**3 - l**2 + 54605*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -310*r - 241. What is the units digit of n(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4704876 and 726.\nAnswer: 51753636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 + 4559\/19. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(39\/4))**(8\/3)\/((t*t*t\/t**(-2\/11))\/(t\/(t*t*t**3)*t)) assuming t is positive.\nAnswer: t**(218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3409.141 + 3411. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = -5*t - 5*b - 37, 0 = -5*t - 2*b - 306. Let x = 5 - t. Suppose -h + 6*h = x. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*h - 86*h - 13*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1197 + 1201. Solve -13 = z*p + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 214*z**2\/7 + 1742*z\/7 + 242406\/7.\nAnswer: 2*(z - 67)**2*(z + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (49 - 3) + -48.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {u: 4, q: 1, z: 9, v: 1, r: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from pipidpn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56607*l - 56593*l + 113166*l - 82.\nAnswer: -34*l - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*x + 80*x + 222*x - 739*x + 100*x.\nAnswer: -215*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 893134571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 b when four letters picked without replacement from {b: 3, h: 1, l: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11900, 23952, 36004, 48056, 60108, 72160?\n\"Answer: 12052*b - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/7 - 503*g**3\/7 - 7947*g**2\/7 + 423167*g\/7 - 20022 = 0. Calculate g.\nAnswer: -142, -47, 1\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38826 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2\/5 (c) -259 (d) 4 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -4124.\nAnswer: 12372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190037757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z + 20. Give i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-827)\/126 + -2 + 27\/(-126).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128\/7 + 18. What is the closest to 1\/90 in x, 3\/2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Let r(i) = i + 10. Let q(s) = -s**2 - s. Let t be q(0). Let o be r(t). Solve 4*h - o = c*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -1 - 24 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 - 25*q + 10. Let b(x) = -63*x + 2*x**2 + 0*x**2 + 63*x. What is b(j(t))?\nAnswer: 2*t**4 + 100*t**2 + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, s: 4}. What is prob of sequence mms?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -52 + 6\/(-3) + -2. Let j = r + 59. Differentiate -715*f**3 - 22 + 2 + 735*f**j wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000001843 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -912190.\nAnswer: 1\/456095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) -5\/4 (b) -2\/11 (c) 5 (d) 2\/31 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-427)*(-23772)\/(-3396).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.72 + 17. Let r = t - 0.08. Let o = r - -0.7991. Round o to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 + 4*v**2 - 7*v - 4. Let r be 2\/(-3)*15\/(-2). Calculate w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 + 311*a + 44*a**3 - 18*a**3 - 311*a.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 62*s**3 + 216*s**2.\nAnswer: 2*s**2*(s + 4)*(s + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 658\/4700*4\/(-7).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304130243 (base 6) to base 9.\nAnswer: -10762120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2. Let o(u) = -3*u**3 + 11*u**2. Suppose -3 = h - 16. Let i(t) = -2*t + 9. Let z be i(h). What is z*n(f) - 6*o(f)?\nAnswer: f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) -2\/3 (c) -2085581 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k + 58. Let a be n(12). Let d = -8938 - a. Round d to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -889336*t**2*w**2 - t*w**2 + 429*t + 8*w**2 + w + 4 wrt t?\nAnswer: -1778672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(1\/1*(-219)\/(-365)). Put w, 0, -153 in descending order.\nAnswer: w, 0, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/26)*m*m**3\/m)\/(m**1)**(5\/19) assuming m is positive.\nAnswer: m**(1333\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*f*p*u - f*p + 1002*f*u - 1056*f + 4834*p*u + u - 2 wrt p.\nAnswer: 96*f*u - f + 4834*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7952.6233 rounded to the nearest 10?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15576 = o + 5*t, -2*t + 46728 = 7*o - 4*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let f(x) = -40*x**2 + 36*x - 36. Let l(b) = b**2 - b + 1. Let a(d) = -2*f(d) - 72*l(d). Give k(a(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/33 and 143\/213324?\nAnswer: 2346564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -3\/5, 12, 43, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 3*v + 6. Let b = -1611 - -1608. What is s(b)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3963\/118663 or 0?\nAnswer: -3963\/118663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 - 2690*y**3 + 113160*y**2 = 0. What is y?\nAnswer: 0, 46, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13*-1*2\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1570 - 2297 + 4984)*(1 + n - 1).\nAnswer: 1117*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2 - 12*l**2 - 2 + 11*l**2 - 12*l. Let k be j(-9). Suppose 0 = 8*n + 7 - k. Solve t = 4*a - 14, -5*a - 2*t + 7 = n*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5831, -11684, -17559, -23456, -29375, -35316, -41279?\nAnswer: -47264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 - 96*h\/5 - 1152\/5.\nAnswer: -2*(h + 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let r(u) = -175*u - 19 + 49*u + 39 - 20. Determine x(r(t)).\nAnswer: -126*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7756 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 5*p**2 + 4*p + 4. Let f be v(-5). Let c = 10 + f. Let y = c + 15. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1168 and 61466.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 5*m - 12. Let n be x(-3). Let u(g) = 6*g - 7. Let r be u(11). Suppose 8*o = -r - n. Which is greater: o or -66\/7?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64a5 (base 12) in base 4?\nAnswer: 2230331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from yyhry.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5603299 millilitres in litres?\nAnswer: 0.0005603299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 11*x - 7. Let z be m(12). Let y = 1111.9 + -1112.5. Sort y, -3\/2, z, -11 in decreasing order.\nAnswer: z, y, -3\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 28. Let o be c(15). What is the closest to 0.3 in o, 3, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u*u)\/u*u**(2\/73)*((u\/u**(-28)*u)\/u)\/(u*u**(-6)) assuming u is positive.\nAnswer: u**(2849\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1318*j**7\/21 + j**5\/20 - 4811*j**4\/6 + 179*j. What is the third derivative of l(s) wrt s?\nAnswer: 158160*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.656 - 1.656. What is the biggest value in -11, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -85. Let r(t) = 5*t**2 - 4*t. Let d(c) = c**2 + c + 1. Let o(s) = -3*d(s) + r(s). Let q be o(9). Calculate the greatest common divisor of q and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/6 + 16 + 0. Suppose -7*w + q = -89. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2794 divide 10155606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (110\/(-3))\/((-4)\/12). Suppose -r + 5*x + 10 = 48, 4*r + h = -x. Let m = r - -29. Solve 3*d = 5*i + m, 0 = i - 3*d + 2 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 + f - 3. Let u(w) = -77*w**3 - 4*w**2 + 6*w - 18. What is 6*m(r) - u(r)?\nAnswer: 83*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 + (-28 - -21) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 25*x**2 - x - 3. Determine n(25).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/8783 + -430383\/140528. Let g(k) = -k**3 + 13*k**2 - 4*k - 12. Let h be g(12). Find the common denominator of s and (-2)\/14 + 1930\/h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-10))\/3*(-280)\/(-112).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-20))\/7*2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*z = 10, 3*v + 1 = z + 12. Suppose 0 = 3*y - 5*m - 12, -2*y + 4*m + 15 = 7. Are v and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 22, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -1178, 1.08?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -459 + 743. Let h = 286 - l. Solve 0*p - 18 = 4*w + p, 3*p + h = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74096361?\nAnswer: 3, 8232929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -50?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -24*b**2 - 42*b - 1. Give x(-3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15104152627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rzzrzrzrrz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6476 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/5 - 2*u**2 + 114*u\/5 - 198\/5 = 0 for u.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 16. Let r be 5829\/(-580) - 7\/(-140). Calculate o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 6*t + 1. Let y = -1860 - -1854. Let z(c) be the first derivative of -5*c**4\/4 + 11*c**2\/2 - 2*c - 9. Calculate y*z(b) - 11*f(b).\nAnswer: -3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 148 - 142. Let g be (26 - u)\/((-8)\/(-52)). What is the highest common factor of 32 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 2. Which is the nearest to l? (a) -5 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 12*b - 30 = 0. Suppose 4*f - 4*s = 100, 105 = 5*f - 0*s - s. Suppose -3*g + 4*v - b*v = -62, g + v - f = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 13*g**6\/3 + 16*g**3\/3 + 21. Find the third derivative of h(n) wrt n.\nAnswer: 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -750.2445?\nAnswer: -756.2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0*u**6 - 95\/6*u**3 - 3 + 0*u**4 - 29\/21*u**7 - 21*u + 0*u**2 + 0*u**5. Find the second derivative of r(s) wrt s.\nAnswer: -1160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 10*p**2 - 5 as g + a*p + y*p**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**2 - 6*g + 7. Let m = -18 + 22. What is the remainder when x(5) is divided by -54*((-84)\/(-36) - (m + -1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8479, -8480, -8481, -8482, -8483, -8484?\n\"Answer: -i - 8478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2*(-9 - -165) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 762922.\nAnswer: 762923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -5. Let y(r) = 2*r**3 - r**2 - r + 1. What is the units digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 10. Give f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 39484 (base 16) to base 6\nAnswer: 5010124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**3\/3 + v**2 - 11*v + 3. Let l(r) = -r**2 + 3*r - 10. Let c(o) = -4*d(o) + 5*l(o). Calculate c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2440522?\nAnswer: -2440522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:06 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -24, -55, -100, -159, -232?\n\"Answer: -7*a**2 + 4*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/33? (a) -6 (b) 0.1 (c) 1.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 11\/12*s**4 + 13\/60*s**6 - 1\/42*s**7 + 0 - 2*s**2 + 1\/3*s**3 - 29\/40*s**5 + 21*s. Solve u(f) = 0 for f.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 - -295. Suppose 3*f - s = 4*a, 0*a = 5*f + 5*a - 215. Suppose -3*u + f = -u + 5*c, 4*u = c + 27. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -287*z**2. Let x(v) = -204 + 746*v**2 + 204 - 773*v**2. Calculate x(b(l)).\nAnswer: -2223963*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 4:50 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -736 + 452. Let f = o + 296.7. Let m = f + -13. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 0*f**2 + 3*f**3 - 11*f**3 + 2*f + 11*f**3 to x*f**2 + j + a*f**3 + g*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -119, -137, -149, -149?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -4*d + 1\/54*d**4 + 0*d**2 - 1\/27*d**3 + 0. Factor n(g).\nAnswer: 2*g*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 44 = 5*y, -4*p + 20 = 2*y + y. Suppose 8 = -2*f + 22. Solve 2*j = f*j - 4*h - 12, 2*j = -4*h - y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172272 and 137352.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 798939812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 5. Let s be f(-4). Let g(h) = 4*h**2 - 3*h + 1. Let b be g(2). What is the units digit of b + (-3)\/s + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y**3 + 1270*y**2 - 548*y - 9.\nAnswer: 24*y + 2540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 5, 0.4, 42, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032998 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 0*o + 4*o)*(-2 + 4 - 4) + (2*o - o + 2*o)*(-4 - 1 + 4) + 61*o + 126*o + 66*o as y + m*o and give m.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*h + i, -3*h - i + 5 = 0. Solve -7*w = -h*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 76 + 76. Let t(q) = 64*q**2. Calculate t(b(w)).\nAnswer: 256*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1783*t**3 + 4*t - 1279*t**3 - 4*t.\nAnswer: -3062*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 493, 1687, 4037, 7933?\nAnswer: 13765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*w**3*x**2 + 625108*w**3 + 15*w*x**2 - 3*x**2 wrt x.\nAnswer: 240*w**3*x + 30*w*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p - 59 = -59. Solve 32 = -4*d + 3*q - 0*q, 4*d - 2*q + 28 = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) 72466.4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72487 by 6.\nAnswer: -72487\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (-7 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18029 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 6:02 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 122*x - 19. Let r(d) = -41*d + 6. Let n(y) = 2*k(y) + 7*r(y). Does 16 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60299448 divided by 2740884\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154657 is divided by 1593?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-40)\/4 - 3). Suppose 0*u + 3*u + k = 0. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/25)*o)\/o*o**(-18\/11) assuming o is positive.\nAnswer: o**(-461\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1401*z - 1. Let i = 0 - -1. Suppose -3*c = -2*c + i. Let o be l(c). What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -15*h + 12. Let a(n) = 4*n - 1. What is -3*a(j) + p(j)?\nAnswer: -27*j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -55\/477?\nAnswer: -55\/477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + 6 + 5 + -2 + -7 + 2 - -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -157.\nAnswer: 43\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6. Let c be d(0). Suppose -c = -4*i + 6. Suppose -2*n = -i*n + 12. Calculate the greatest common divisor of 132 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 164381, 328752, 493123, 657494?\n\"Answer: 164371*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1682*p**5 - 27842*p.\nAnswer: -33640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-93)\/(-310))\/((-36)\/(-15)). Which is the nearest to 96? (a) -3 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4250 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let h(k) = 6*k**2. Let f be (-2)\/(-17) + 180\/(-85). Let u(c) = 24*c**2. Let m(p) = f*u(p) + 9*h(p). Give g(m(x)).\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3 = 15. Suppose 4 = -2*o + g*o. Solve -u = -0 + o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = q - g, 0 = 4*q - 5*g - 85. Let i = q - 25. Let b = 7 + i. Put 4, 1, b in increasing order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 13631691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 10. Let q be f(-10). Suppose -d = -4*x - 272, -5*d - 5*x + 428 + 932 = q. Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 12 = -5*g. Let x(w) = 44*w - 5. What is the hundreds digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + d**2 - 2*d + 1. Let z be y(1). Suppose 4*r + 4 - z = 3*i, 5*r + i - 7 = 0. What is the second biggest value in r, 3, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*208)\/(3\/2). Suppose 3*n - 31 - z = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45793259 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 300*d**2 + 6528*d - 44032.\nAnswer: 4*(d - 43)*(d - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.19, -1, 5, 245, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -708, -2736, -6102, -10806, -16848, -24228?\nAnswer: -32946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29732 + -29283. Solve -17*n - h = -466 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 1, 3 in ascending order.\nAnswer: 0, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -185395 times 31\nAnswer: -5747245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 19.96. Let t = 20.000124 + a. What is t rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 at most as big as 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*s**3*w**3 + 1599*s**3*w**2 + 2*w**3 - 873*w + 94 wrt s.\nAnswer: 141*s**2*w**3 + 4797*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i**2 - 6*i - 1. Let d be 5\/25 - (-62)\/(-10) - -3. Let c be f(d). Is (c\/(-10))\/((-8)\/(-80)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 43897596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 - 5*z**3\/3 - z**2\/2 + 6*z + 1. Let s = 20 + -15. Let l be n(s). Solve -v = -1 - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j - 4. Let x be -1 + 5 + j + 3. What is the tens digit of (-2)\/x*(-318)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 - -174.99889. What is c rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-12)*(-56)\/3. Let o = 143 + 7. Solve 39*b**2 - s + 2*b**3 + 46*b + o + 98*b + b**3 = 0 for b.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157156470693038*p - 10*p**3 + 157156470693038*p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:42 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (725\/(-290))\/(5\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 436726822*h + 417434717?\nAnswer: 436726822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66254, -132507, -198756, -265001?\nAnswer: -331242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(-9))\/d*d)\/((d*d*(d*d**(-8\/7))\/d*d)\/d*d))**12 assuming d is positive.\nAnswer: d**(768\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10347 + 10339. Let d(t) = t**3 + 34*t**2 - 5. Let n(h) = -h**3 - 51*h**2 + 8. Determine s*d(b) - 5*n(b).\nAnswer: -3*b**3 - 17*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.2 - 25.5. Let y = 13 + -18. What is the third biggest value in q, 5, 1.1, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.4492 rounded to the nearest ten?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/10 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -1716827.\nAnswer: -3\/245261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6501029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*n + 15. Let m(d) = 4*d + d**2 - 4 + 5 - 1. Let t be m(-4). Solve t = 4*p + 3*j + 3 - n, -3*p + 3 = 3*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515203.8 months to decades.\nAnswer: 4293.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4279.615 meters in micrometers?\nAnswer: 4279615000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-744)\/682*1\/4.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/((-5 + 12)\/49). Let y = -4 - t. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-145)\/(((-36)\/(-30) + -1)\/((-6)\/5)) is divided by 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 18 + 8 = 0. Let w = j - -9. Suppose -16 = 4*t, -5*c + w*t - 3*t = -709. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 + 254. Suppose u = 2*j - 46. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqoo when four letters picked without replacement from ooooooooqqoqoqoqoooo.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*p - 96*p - 6*p**3 + 221*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/112476*42\/4?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 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: What is prob of sequence enh when three letters picked without replacement from unugennnhhenhngenh?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmo when three letters picked without replacement from {m: 4, o: 5, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/9569?\nAnswer: 1\/9569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - 0.01. Let s = -3.96 - g. Let j = 4 + s. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-608)\/95 + 2\/5. Let q(c) = -4*c + 4. Let b(u) = u. Determine v*b(y) - q(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 120*m - 1407 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (1 + (-30 - ((-24 - -31) + -20)))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26790553591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -0.5, 1\/29, -1 in descending order.\nAnswer: 1\/29, -2\/27, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 5*n - 2. Let p be s(-4). Suppose -5*c - 100 = -5*x, 3*x + p*c - 7*c - 68 = 0. Calculate the least common multiple of x and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5872*n - 3 + 2 + 6355*n + 1 to the form o*n + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0196 + 0.02858. Round m to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1981 = 88*n - 91*n + 5*r, 5*r = 2*n - 1309. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6*(-66)\/4. Calculate the remainder when x\/(6\/3 - 3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -14.6678?\nAnswer: -616.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -53*v + 1. Let z(r) = 75*r - 2. Let n(f) = 2*b(f) + z(f). Let k(m) = 4*m + 5. Give k(n(u)).\nAnswer: -124*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -531*m**3 - 32*m - 3.\nAnswer: -3186*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11747504 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -0.16. Let t = 124 + -124.097. Let d = y + t. Round d to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 + t**2. Let c(r) = 5*r**3 + 2*r**2. Calculate -5*c(x) + 4*f(x).\nAnswer: -x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/42576 and 137\/95796.\nAnswer: 383184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + 692 - 5*j**2 + 686 - 1202.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-109.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -j, 5*j = -4*n + 2*n + 65. Calculate the smallest common multiple of 10 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*w - 185 = b + 841*w - 423*w, -5*b + 310 = 3*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*i + 4*n + 27, -40 = i + 5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240110?\nAnswer: 2, 5, 13, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let u be a(-10). Let k(c) = -4*c + 6. Let b be k(5). Let h = u - b. Solve -j + 0 = -h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 = -34*p + 40*p - 2842. Calculate the lowest common multiple of p and 1360.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y + 885 = -27*y - 6395 for y.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(4\/((-32)\/(-68)) + -4). Let o = 0.3 + -0.4. Suppose 5*q = -4*a - 20, -2*a + 16 = -2*q - 2*q. What is the closest to c in o, -2, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10019149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 2. Let h be c(-7). Let w = h - -45. Suppose 0 = -9*d + 249 - 177. Calculate the greatest common factor of d and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d - 3*d + 3 - 3*d. Let c(p) = -2*p. Let s be c(-1). Suppose 7*g = s*g + 15. What is u(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.3.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*q - h - 22, 24 = -5*q + h. Let t = q - -8. Solve -n = -t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 13*r**2 - 1401*r + 19589. Calculate k(14).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 4*g - 24, -2*y + y + 1249*g - 1245*g = 2*y + 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 7. Let c be 25\/(-2)*(-22)\/(-10). Let y = -28 - c. What is the second smallest value in y, 3, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522869 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*o - 308 + 5726 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14387 is divided by 2412.\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24625 + -443131\/18. Let w = 2\/6335 + 956561\/76020. Find the common denominator of w and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716997.\nAnswer: 3, 199, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -2.7. Let u(y) = -y**2 + 9*y + 4. Suppose -42*h + 39*h + 30 = 0. Let z be u(h). Which is the third biggest value? (a) n (b) -2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsswdttwt. Give prob of sequence twwt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 - 721*v + 2096. Determine d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -8 (c) -0.4 (d) -175 (e) -696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*v = -6*v - 1544 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -3*sqrt(704)*-4)*6 + -1 + 1 + 4)*5)**2.\nAnswer: 979200*sqrt(11) + 91267300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/2 + 13*z. Let f(n) = -n - 5*n - 10 + 10. What is f(g(s))?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -86c3?\nAnswer: -86c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864736.51 rounded to the nearest 1000?\nAnswer: 2865000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3b10 (base 13) to base 2\nAnswer: 10000100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -545*l - 5981. Give x(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 576*w**3 - w - 568*w**3 + w to the form d*w**2 + q*w**3 + s*w + y and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104664347717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - -4) + -2 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 12*r**2 + 7*r + 1. Let g be x(5). Let m = 250 - 245. Suppose -10 - 89 = -2*p + 3*u, -m*u = p - 17. What is the greatest common factor of g and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - -0.06. Let i = j + -0.23. Let p be 140\/56*(-4)\/(-25). Which is the closest to 11\/3? (a) p (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184317530 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253320 (base 7) to base 3.\nAnswer: 2101012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 220456240.\nAnswer: 1543193680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -27?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 34 = -5*p, -o - 2 = -43*p + 44*p. Suppose -3\/5*z**o - 82\/5*z - 32\/5 - 53\/5*z**2 = 0. What is z?\nAnswer: -16, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 64413.\nAnswer: 128826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 2, l: 4, c: 2, r: 4, u: 1}. Give prob of sequence unn.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3240)\/(-75))\/(-24)*(-20)\/(-42).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 3*s - 9*l - 5, 5*l - 24 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, m: 3, g: 1}. What is prob of picking 2 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 6*x - 180. Let f = x - 28. Solve -f = b + 3*r + 5, r - 9 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*z = w - 691, -z = 4*w - 2701. Let o = 1030 - w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 23*x**2 + 86*x - 303. Determine o(26).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 15. Let u = 0 + 0. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((8\/84)\/1)\/(((-75)\/35)\/(-5)). Solve -2\/9*b + 0 + l*b**2 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -327*g**4\/2 - 5*g**3\/3 - 19*g**2\/2 + 143. Find the third derivative of f(q) wrt q.\nAnswer: -3924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2. Let u(k) = k + 4. Let t(v) = -5*r(v) + 3*u(v). Let w(i) = -4*i**2 - i + 1. Let x be w(1). Let z = -6 - x. Give t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154923 is divided by 1064.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -37236?\nAnswer: -37241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.6748 grams to milligrams.\nAnswer: 822674.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -2) + 1 + 40 + -28. What is the highest common factor of 108 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -59, -124, -227, -380, -595?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(2*sqrt(304))**2 + 4 - (0 + sqrt(304) + (-2*sqrt(304) + -1)**2 + sqrt(304))) + 4 + 3.\nAnswer: -72*sqrt(19) + 14608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - 5611?\nAnswer: -5632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 5:57 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 52*z**2 - 35949*z - 35947. Calculate k(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - n. Let f be (-1)\/(-1) + 2 + -5. What is the units digit of o(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243963 divided by 10\nAnswer: 243963\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6800 - 24?\nAnswer: -6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*(c**(-24)\/c)\/c*c)*c\/(c\/(c**(-17)\/c*c)) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljvzvpllljlzjjzllj. Give prob of sequence jvp.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99635325 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 581393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 250\/72 + 2\/(-9). Let o = d - 43\/12. What is the closest to 3 in 0, 5\/2, o?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 14*r**2 - r - 11. Let m be u(-14). Solve -m*q + 0*q = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1735, 4, -5, 2 in descending order.\nAnswer: 4, 2, -5, -10, -1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -191, -188, -183, -176?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211 - 10?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19836 or 19837?\nAnswer: 19837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**5 - 105*v**4 + 130*v**3 + 1340*v**2 - 3960*v + 3040 = 0 for v.\nAnswer: -4, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9024 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110010 - -100110101?\nAnswer: -100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-634)\/(-18) - (-2)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86205*x**2 - 5*x + 189*x**3 + 86208*x**2 + 2*x.\nAnswer: 189*x**3 + 3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8671 (base 9) in base 3?\nAnswer: -22202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.071*-36630.\nAnswer: -2600.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = -3*c - 11, -5*m + 4*c = -25. Let b = 4 - m. Let k(u) = -4 + b + 3*u - 2. What is k(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = -146*u - i, 5*i - 35 = 80*u - 85*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666481279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)*t\/((t*t\/(t**(-17)\/t*t))\/t)*t*t*t**(-2\/3)*t**(-11))**28 assuming t is positive.\nAnswer: t**(-4417\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 3*a - 676. Calculate the remainder when 151 is divided by a\/1*3\/4.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058791872 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 32123 - 8197 = 0. Calculate the remainder when o is divided by 384.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 10*y**2 + 5*y + 53. Let z be w(-10). Suppose 0 = 2*r + z + 1, -5*r + 5 = 3*a. Solve a*i - 3*s = -15, -s - 6 = 2*i + s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 - -1894\/11. Let d = 10 + -8. What is the closest to 2 in m, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8 - 6*x**2 - x**3 + 2*x**3 - 7*x - 3*x**2. Let n be l(10). Calculate the highest common factor of n and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/478, 2\/7?\nAnswer: 1\/478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -6\/11, 8\/75, 1\/6, -0.3 in descending order.\nAnswer: 1\/6, 8\/75, 0.1, -0.3, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 7. Calculate the remainder when m is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -372\/5*n - 14\/5*n**2 + 162\/5.\nAnswer: -2*(n + 27)*(7*n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 4. Let m be s(-2). Suppose 0*d = v - d - 26, 34 = 2*v + m*d. What is the remainder when v is divided by ((-3)\/(-4))\/((-2)\/(-32))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3*g - 32 = -3*z, 21 = -z - 4*g. Let q = 1235.5 - 1235.2. Which is the closest to q? (a) 4\/3 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364242 is divided by 365?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77904 and 1298400?\nAnswer: 3895200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 38479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 263455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q. Suppose -14 = -b + 4*v, -2*v = 6 - 0. Let a(f) = -b - 4 + 4*f**2 + 6. What is a(p(u))?\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 2. Let c be o(-11). Suppose 0 = -4*p + 3*s + s + 28, 3*p = -2*s + c. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82507313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -726 smaller than -781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-14) + 4\/(-14). What is the third derivative of -k**4 + k**2 + k**2 + k**j wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 58. Solve -5*q = -0*q + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:44 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 10\/4)*2. Let m(i) = 2. Let r(s) = -s + 1. Let h(w) = -m(w) - 2*r(w). Let q be 9\/(-21) - 102\/(-42). Let z(u) = -u + 3. Calculate n*z(y) + q*h(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 3014?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-511)\/49 - -11)\/(-4*(-9)\/(-42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 38 = -5*z, -5*m - 5*z = -2*m - 74. Let j be 8\/m + (-66)\/(-14). Solve -2*a + j = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593354465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**2 + 12*z - 3. What are the prime factors of n(7)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39581.\nAnswer: 39581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7440 * -0.03\nAnswer: -223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440494823 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57373 + (-6)\/9*-12. Suppose -5*s = -h - 3*h - v, 3*s - 34434 = -3*h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481874 to the power of 1\/2, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 25 - 14 - 2*y**2 - 6*y - 17. Calculate f(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2299) + sqrt(19))*-1.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 16453*o - 16679*o + 5*o**2 in the form n + g*o + u*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -6529*q**2\/2 - 17*q = 0. What is q?\nAnswer: -34\/6529, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -619 + 618.5. Which is the nearest to 5? (a) 0.5 (b) -0.02 (c) s (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 79*d**2\/2 + 21*d + 35. What are the prime factors of r(8)?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 5*r = -4932. List the prime factors of r.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87481.5 litres in millilitres?\nAnswer: 87481500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2 = k, j - 4 = -2*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**2 - 5*k**2 + k + 3*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/(-1245))\/(((-12)\/(-10))\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*q**2 - 4*q**4 + 40*q**2 + q + q**3 - 2*q**4 to d*q**2 + n*q**3 + b*q**4 + k + y*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001872203 rounded to 6 dps?\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/35 - 204\/(-969)*92\/56?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and (-1)\/(5\/270*-2).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -5, -658 in decreasing order.\nAnswer: 57, -5, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(2\/15))\/h**8)\/(h**(-11)\/h*h*h\/(h**(-1\/2)\/h)) assuming h is positive.\nAnswer: h**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716827?\nAnswer: 716827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 13) to base 6\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25521?\nAnswer: 3, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/15)\/(g**7*g*g)*g**13\/(g**(-2\/5)\/g) assuming g is positive.\nAnswer: g**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -113, -143, -5, 0.8?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 + -0.6. Let g = 1 - y. What is the closest to g in 1, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -3\/5, -4\/11, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4\/5))\/(b**(-1\/4)*b))\/(b\/((b\/b**(2\/3))\/b))**(-2\/25)*b**(-1\/13)*b\/((((b*b**2*b*b)\/b)\/b)\/b)*b**(-1)\/(b**(-1\/6)\/b) assuming b is positive.\nAnswer: b**(71\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -9*p - 832. What is the remainder when 127 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24222931 is divided by 812.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 221, 220, 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*s - 1476 - 766 = 0. Solve 0 = 11*a + s + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 8*p**2 + 8*p - 13. Suppose -17 - 1 = 2*l. Give d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 31. Let a(v) = 3*v**2 + 80*v. What is a(w(t))?\nAnswer: 27*t**2 + 318*t + 403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(2 + 2 - 6). Which is greater: k or -1\/2745?\nAnswer: -1\/2745","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -139, -194, -271, -376, -515, -694, -919?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14846886 - 1041?\nAnswer: -14847927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52881, 108435, 163989, 219543?\n\"Answer: 55554*v - 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170409177.\nAnswer: 3, 2103817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3996 and 1629036.\nAnswer: 4887108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1494 + 1491. What is the closest to 1\/31 in w, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-39)\/(-2) - 4)*25\/6. Let x = 65 - k. Let i = 222\/1001 - -1\/182. Calculate the common denominator of x and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 12, k + 2*h = -3. Let v be (k + -4)*-1 - 4. Which is smaller: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 25*o**2 - 62*o + 19. Let g(f) = f**3 - 26*f**2 + 61*f - 18. Let z(q) = 3*g(q) + 2*k(q). What is the least common multiple of 32 and z(-30)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcppcpppp. Give prob of sequence pp.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-386)\/(-66) - 3 - 3. Let q = 7\/264 + v. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/24 + 4*k**2 + 2*k - 10. Let w(a) = 15840*a**2. Determine q(w(i)).\nAnswer: 15840*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42038?\nAnswer: 2, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/185 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*y - 303, 5*y - c - 335 + 29 = 0. Solve y*x - 65*x - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11304*u**2 - 11304*u**2 - 11 - 51*u**3 - u**3 - 3*u**3 + 5*u**3 + (5*u - 2*u**2 - 5*u)*(-u + 4*u - 2*u).\nAnswer: -52*u**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/8*(-509800)\/(-2). Round c to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 2. Let g be j(-4). Suppose -g*p - 5 + 39 = 0. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66712654.4 rounded to the nearest 10000?\nAnswer: -66710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 12. Let m be z(8). Suppose m*a - 618 + 178 = -x, -x = -5*a + 541. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*c**2 + 1 wrt c?\nAnswer: -182*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*g + 111*g - 60 = 0. Suppose 4*h + g = 0, -7*x + 6*x + 67 = -3*h. Let s be ((-2)\/(-10) - x\/10)*-2. Solve 7*u + 6 = s*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.709458 to 2 dps.\nAnswer: -31.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*6\/20*-2. Let b be (-21)\/(-15) - r\/(-5). Find the first derivative of -4*c**2 + c**b - 2 - 5*c**2 wrt c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-4)\/k*k*k)\/(k\/(k**5\/k)))\/((k**(-3\/8)*k)\/k*k**(-1\/2)\/k))\/((((k**(-2\/11)\/k)\/k)\/k*k*k**1)\/((k\/k**(-1)*k)\/k)**(3\/7)) assuming k is positive.\nAnswer: k**(3027\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1)\/2 + -1. Is -2 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 + -2. Suppose -43 = -20*r + 17. Which is the closest to 4\/3? (a) r (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**2 - 11*c + 6. Let n(w) = -5*w**2 + 5*w - 3. Let s(y) = 4*f(y) + 7*n(y). Let d be 44\/5 + (-14)\/(-70). Let l be s(d). Solve -r + 2 - l = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -368, -369, -370?\n\"Answer: -b - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109*h**3*v**2 - h**3*v + 7*h**3 wrt v?\nAnswer: -218*h**3*v - h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, -9, -69, -173, -327, -537?\n\"Answer: -t**3 - 13*t**2 + 24*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c - d, -9 = c + 2*d - 2. Let p be 22\/(-18) + -1 + 2. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86157.24 kilograms to nanograms.\nAnswer: 86157240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/28 - (-59175)\/(-63). Let b = -61 - y. List the prime factors of b.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(13)*1)**2 - 4*(sqrt(13) + 2 - sqrt(13))) + -3 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -236.\nAnswer: 17\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4.13, 4, 3, -5, -3 in decreasing order.\nAnswer: 4.13, 4, 3, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1632)\/17)\/12*(-26)\/(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 214*z**5 - 308*z**5 - 106*z**5 + (1 - 2 - 1)*(3*z**5 - z**5 - 5*z**5).\nAnswer: -194*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 0)*(-2 - -3). What is the second smallest value in j, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 55 = -0*o + 4*o, o - 8 = 5*p. Let m(a) = -15*a**2 - 13*a - 9. Let b(k) = 7*k**2 + 6*k + 5. Let s(g) = o*b(g) + 6*m(g). Differentiate s(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 5*p + 3*q - 73, 4*p - q - 8 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, 171, 421, 775, 1233, 1795?\n\"Answer: 52*k**2 - 10*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.3 + -17.5. Let o = 0.3 - k. Sort 9, 5, -0.3, o in decreasing order.\nAnswer: 9, 5, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*z - 8*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320223 + 11?\nAnswer: -320212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 8*s - 64. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 3*z + 17*z)*(-4*z + 5*z**3 + 4*z) as l*z**3 + y*z**2 + o*z**4 + f + a*z and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*j + 616*j = -z + 10331, 0 = -z - j + 10328. List the prime factors of z.\nAnswer: 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.5. Let w = 0.09 - 0.12. Let y = 0.23 + w. Is b at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -64204\nAnswer: 5\/64204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 465 - 465.018. Which is bigger: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 7. Let y be p(14). Suppose -5*o - 3 = y. Is -6 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-47 + 105) - (3 - (-3 - -15))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/12931491 and 133\/30?\nAnswer: 129314910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/58 and -8\/55.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399127975 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4212, 4210, 4208, 4206?\n\"Answer: -2*z + 4214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/23? (a) -3\/8 (b) 0.2 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -8*c + 182. Let g = c - -63. Let j(f) = -f. Let u(l) be the third derivative of -l**4\/6 - 9*l**2. Determine g*j(p) + 6*u(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021201122 - 11?\nAnswer: -2021201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1037093 and -32\/45091.\nAnswer: 1037093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 9*j + 3. Let n be g(-9). What is the second derivative of -3*o**n - o**4 + o - 3*o + 3*o**3 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 + 0)*(0 + 0 - 2*x**2) + (4*x - x - x)*(18 - 18 - 27*x))*(3*x - 8*x + 6*x) to the form u*x + w + a*x**2 + c*x**3 and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/15, -0.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185252 and 15970?\nAnswer: 926260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h - 35*h = -616*h + 4750 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 2*f - 1. Let k(c) = 2*c**2 + c - 1. Give -4*k(u) + 3*l(u).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -8)\/(-24)*3\/(-2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 8.84. Let v = d + 4.16. Is 0 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 85 = -2*u. Suppose 0 = -3*l - 2*p - u, -4*p - 65 = 2*l - p. Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-30)*-4)\/(14\/(56\/(-276)))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - c + 8815, 2*g - 2*c + 24 - 3562 = 0. Calculate the highest common factor of g and 4032.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) 2426627 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 4)*(x - 1 - 3*x + 3) + (4 + 3 - 4)*(x + 1 - 1) - 11*x + 1 - 1.\nAnswer: -16*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1280 + 1280.5. Which is the closest to 2? (a) -0.7 (b) -5 (c) n (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*m**3 + 56*m - 3*m**3 + 7*m**3 + 27*m**2 + m**3 + 53*m**2 = 0. What is m?\nAnswer: -2\/3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13126 * 133\nAnswer: 1745758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Let o be t(12). Let d be 6\/o + 77\/49. Suppose 2 = c + 3. Sort d, c, -5.\nAnswer: -5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15579 + -15583. Put -5, b, 2, -24, 4 in increasing order.\nAnswer: -24, -5, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((((a**(-13)*a)\/a*a*a)\/a)\/a))\/a**(2\/21))\/(a**(-2\/9))**25 assuming a is positive.\nAnswer: a**(1226\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(528\/8)*(-2988)\/6?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 3 (c) -7 (d) 6 (e) -172\/7 (f) 0 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113749\/10 + 11385. Find the common denominator of -52\/7 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70884 from 42.\nAnswer: -70842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veevypevpeeevpv. What is prob of sequence vevp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 11. Let q be h(-10). Let d be (-4)\/(-2) - -1*17. Let g be d\/q*1 + -1. Which is the closest to -1? (a) 3\/5 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 0, 4, 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r + 4*u + 2, -11*u + 4 = -7*u. Let a be (0\/2)\/((-2)\/2). What is the third biggest value in a, -5, r, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*n - 20*n + 36*n)*(-1 + 7 - 3)*(-2 - 1 + 2).\nAnswer: -159*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/2, -6\/11, 1, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350*s - 2365*s = 180 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + -3 + -3 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 32 = 3*l, 27*l - 18 = 29*l + 2*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j - 93 + 192 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 0.00170758836\nAnswer: -0.29829241164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**1*v*v)**(2\/31)*(v\/v**(1\/3)*v)\/(v\/v**(2\/7)) assuming v is positive.\nAnswer: v**(830\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -x. Suppose 5*l - s = x, 0 = -s + 7 - 2. Suppose -4*b + 2*b = -2*u + 24, 3*u + l*b = 4. Solve -3*t - 5*y - 1 = -6, 4*y = -u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 15. Let u(l) = 8*l**3 - l**2 - l - 2. Let h(g) = -8*g**3 + 2*g**2 + 2*g + 3. Let a(k) = 3*h(k) + 4*u(k). Determine a(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-3)\/24*4. Solve s*p = 3*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-3)\/(-12))\/((-4)\/80). Solve -d*k = -q - 25, k + 4*k = 3*q + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3011 + 12227 = 24*o. What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -18*(-14)\/(-84). Solve 53*g - 48*g + 20 = 0, -13 = -b + a*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 642*w**6 + 35*w**2 - w?\nAnswer: 77040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16e + 6?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -29*y + 518. Let q be g(16). Suppose -4*l = -3*h - 540, 3*h = -3*l + 5*h + 405. What is the greatest common factor of q and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*m - 1143, -4*m - 2*v + 4*v = -914. Let l = m + -226. Solve -l*z + 8 = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 - c - 4. Let y(r) = 5*r**2 + 8*r + 3. Let j(p) = -14*p**2 - 22*p - 8. Let x(l) = 4*j(l) + 11*y(l). Give -d(m) - 4*x(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 - -190. Solve -7*w + 12 = -d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -21. Suppose 4*b - 12 = 0, 0 = 3*k - 4*b - u - 3. Suppose 2*t + 10 = 4*a, -a + 2*a + t = -k. Solve a*y = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.309 + 3828.72.\nAnswer: 3828.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(204))\/(sqrt(9)\/sqrt(3)*1 - sqrt(3) - (sqrt(75) - sqrt(75)*-1)))**2.\nAnswer: 272\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-10))\/((-1)\/(-8)). Let y = 6\/65 - 184\/585. What is the smallest value in -13, y, 1, b?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503617 (base 8) to base 4.\nAnswer: -220132033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1289 - 1277. Calculate the highest common divisor of 54 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(16\/(-102)))\/(11\/44). Let f = -51 + k. Let g(z) = z + 4. What is g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -479, -911, -1469?\nAnswer: -2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*d + 5*d. Suppose -16 + d = -3*t. What is the smallest common multiple of (1*3)\/((-6)\/(-40)) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s**3 - 1\/2*s**2 + 0*s - 4 + 0*s**5 + 0*s**4 - 5\/6*s**6. Find the second derivative of z(a) wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*s = -m - 32, -36 = -4*m + 4*s. Suppose -2 + 23 = z. Solve -m*k + z = 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279\/(-9) + 28 + 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 5*a**8\/4032 - a**6\/720 + a**5\/60 - 5*a**2. Let p(l) be the third derivative of f(l). List the prime factors of p(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnccnnn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293 + 145*u**3 + 2186 + 693*u**3 + 887*u**3 with respect to u.\nAnswer: 5175*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51179511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 465*f**3 + f**2 - 44*f + 195. Is c(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*b - 1887 = 0, 1630 = 5*q - 5*b - 1515. Calculate the greatest common divisor of q and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 643*w + 15653. What is i(-295)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 4*g**2 + 336*g**3 + g**2.\nAnswer: 336*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111476*1.49.\nAnswer: -166099.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -6*j + j. Let m = j + -40. Let w = -17 - -24. Calculate the least common multiple of m and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -62*x**3 + 7*x**2 - 27*x - 128. Give t(-4).\nAnswer: 4060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfff when four letters picked without replacement from {f: 18, x: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12728 - 2257. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*f + 2955 = 49155 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1. Let n(i) = 1 + 8 - 6*i + 3 - 16. Let y(w) = -n(w) - 3*z(w). Let m(c) = -7*c - 1. Let l be (1\/2)\/((-2)\/20). Give l*m(s) - 6*y(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 7. Suppose y = -r + 12, q = 2*r - 5*y - 20. Suppose 4*z = -20, -4*z = d - z + r. Solve -d*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45758 is divided by 172.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 916 - 492. Suppose -4*u = -2*j + l, 3*j - 2*u - 1076 = -2*j. What is the greatest common factor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 20, 20, 4, -34, -100, -200, -340?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2955857 millimeters in nanometers?\nAnswer: 295585.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 3*f + 1. Let d be c(4). Let o(h) = -h**2 + 5*h - 1. Let a be o(4). Let y = a - d. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*w - 15, 56 = 3*o - 5*w + 23. What is the third derivative of -44 + 8*j + 44 - 17*j**3 - 18*j**2 - j**o - j**6 - 6*j wrt j?\nAnswer: -240*j**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -579 + 1121. Let f = a - -255. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 32 = -2*u - 3*s, -4*s = 4*u + 56. Let h be (-336)\/(-64)*(u\/12 - -1). Let b be (2 - 4)\/2 - -1. Which is smaller: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - 19*l - 6*l**2 + 18*l**3 + 0 - 15*l + 29*l wrt l?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 410, 421, 438, 461, 490, 525?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 17. Let o be y(7). Suppose 123 = -3*k + 4*x, 105 = -3*k - o*x + x. Is 3*1*k\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 - 3*o + 2. Let v(p) be the first derivative of -p**2\/2 + 2*p - 7. Let w be v(-1). Calculate r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -523, 10 in ascending order.\nAnswer: -523, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, -1\/4, 1, -192?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.065, -3, -37\/3, 0.1?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-462)\/363 + 13*100\/1430?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njnm when four letters picked without replacement from {j: 1, m: 2, q: 1, w: 6, h: 2, n: 6}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19251 > -19251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2009\/5 - 4 - (-2)\/10. Let a = s - 103. Is a 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 85970937?\nAnswer: 3, 13, 2204383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27521?\nAnswer: 13, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/25 or -2?\nAnswer: -14\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -2 - (7 - ((-12 - -7) + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 5*x, -661*u = -665*u + 4*x + 64. Solve 10*d = -u*d - 154 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, 3, 6.4, 0.04, 2\/39, 0.24?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -58*r**2 - r + 116. Let d(b) = 19*b**2 - 39. Let c(j) = -3*d(j) - y(j). Let a(v) = -20*v - 5*v**2 + 7*v**2 - 14*v**2 - 20. What is a(l) + 20*c(l)?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 2*f + 2*f)*(5 - 5 + 3*f)*(2*f - 3*f - f)*(-17 - 8 + 40) in the form a*f + t*f**2 + k + n*f**3 and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6254\/8925 - -58\/119. Let z = -175263 + 21031651\/120. What is the common denominator of z and o?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/18 - 3 - -7.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7673 + 741 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*w + o - 10 = 0, 3*w + 3*o + 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 19*a**2 + 33*a + 16. Let x be m(17). Calculate the least common multiple of 15 and (-1)\/5*x + 11524\/430.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + (49 - (95 + -18)) + -17.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 169 + 159 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165\/4 - (-3)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 3*f**4 + 0*f**4 + (-3*f**3 - 2*f**3 + 3*f**3)*(0*f + f + 0*f) + 101*f**4 - 223*f**4 + 93*f**4.\nAnswer: -33*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxaf when four letters picked without replacement from {f: 2, a: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g + 1. Let z be j(-1). Suppose -6*h + h - 2*m - z = 0, m = -3. Solve h = o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 13*p**2 + 13*p - 2. Suppose 4*w - 5*w + 14 = 0. What is the smallest common multiple of v(12) and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3243088 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154.96 - 163. Let q = d + 0.84. Let r = q + 7. Which is the second biggest value? (a) 5 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28909 (base 12) to base 13\nAnswer: 1c9bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5.4, -4\/7, 1 in increasing order.\nAnswer: -4\/7, -0.3, 1, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8238508?\nAnswer: 2, 23, 149, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 968\nAnswer: -24200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18377793 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*z + 6*z = 22, -3*l - 3*z = -18. Solve -4*w + w - 4 = 2*s, -4*w - 10 = -l*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8111448*w - 154. Let t be n(-9). Suppose 14*a - t = 47117122. What is a rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -853, -1279?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.684907 millennia?\nAnswer: 268.4907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 4190.\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 1725?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784*u = 788*u - 8. Which is the smallest value? (a) u (b) 29.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -96*c + 4406. Calculate i(46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-nine fifths of a millennium?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 + 366. Find the common denominator of 2\/(-4) + p\/(-28) and -91\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -221072?\nAnswer: 44214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 350354 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5748642 kilograms?\nAnswer: 574864.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f + 9. Let s(x) be the first derivative of 3*x**2\/2 - 20*x + 10. Let o be s(8). What is the remainder when p(o) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10108236?\nAnswer: 2, 3, 842353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210.4 - 210. What is the closest to 1 in z, 33, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 21*m - 7*m - 8*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -22) + (-27)\/9. Solve -w - 4*w + m = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 + (-3)\/1)*(7 - 6). Let v = j + 938. List the prime factors of v.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13344, -13373, -13402, -13431?\n\"Answer: -29*k - 13315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-176)\/(-48)*-15.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 + 3. Let u(r) = 3*r - 2*r + 0*r. Let k(f) = 2*f. Let y(h) = h**2 + 2*h - 1. Let c be y(-2). Give c*k(v) + p*u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -34. What is the tens digit of l\/(-32) + (-1026)\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3731 minus -0.06?\nAnswer: 0.4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72\/1 + 20\/(-5) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.29952. Round g to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286803 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(6\/3)\/4. Let u = v - -2. What is the second derivative of 0*q - 2*q + q - q**u - q**5 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3) + 4\/12. Let u be -16*y\/3 + -1. Suppose -10*p + 269 = 109. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:49 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15960*u**3 - 42*u**2 - 6. Let y(a) = 1053359*a**3 - 2758*a**2 - 394. Calculate 197*j(h) - 3*y(h).\nAnswer: -15957*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 18\/19, 5, -1, 752.\nAnswer: -1, -0.1, 18\/19, 1, 5, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.02, -0.5, -22\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*v - 62*v + 3739008000 = -85*v. What is v rounded to the nearest one hundred thousand?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 21560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9626 is divided by 130.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**8\/168 + 37*w**5\/60 + 25*w**2 - 44. Let y(c) be the second derivative of u(c). Find the third derivative of y(r) wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**2 - q. Give x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1597*v + 68857 + 65951 - 11517 = -360*v for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) + (-4)\/(-18). Let t = 5978\/19513 + 2\/1501. Factor t*a + i - 2\/13*a**2.\nAnswer: -2*a*(a - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 687, 919, 1157, 1401, 1651, 1907?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 302.05 - 305. Let x = -7.95 - h. Which is the biggest value? (a) x (b) -3 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0 - 6*d**2 + 0*d - 1\/12*d**4 + 1\/2*d**3. Let t(b) = -3 - b - 5 + 10. Calculate -2*a(i) + 3*t(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -4 (c) -67 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 660?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69346.49 litres?\nAnswer: 69346490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2652729 rounded to 4 dps?\nAnswer: -0.2653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-13)*520\/(-40))\/(1\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - g. Let f be v(3). Suppose -p = 4*s - 7*s + 30, 2*s - 7*p = 20. Solve -s*h - f = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17*d**2 - 7*d - 3. Let b be (-1 + 2\/14)\/((-2)\/14). Let j(z) = z**2 - z - 1. Let k(f) = b*j(f) - 2*u(f). What is the second derivative of k(c) wrt c?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1314.1 and -1.2?\nAnswer: -1576.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 76 = -49*n - 13, 0*n = 3*n + 2*u - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37269, 44919, 52569?\nAnswer: 60219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 (base 6) in base 12?\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2545 - 2545 + 3471*p**2 as u*p**2 + x*p + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 13 = 15. Let i = 4 - 3.7. What is the closest to 1 in i, c, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 50*x**2 + 17*x + 19. Is l(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14684513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -33, -24, -15, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 67, 153, 267, 403?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 1 + (3 - (-7 + 17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*h = -16, a + 3 = -3*h - 1. Suppose -l + 2 = -0. Factor g**2 - 1 + 2*g - l*g**2 + 0*g**a.\nAnswer: -(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 - 37*k**2 - 18*k + 47. Is s(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -0. Let x be (-9)\/2*(-16)\/k. Let l be 17 - x\/4 - 2. Solve 0 = b - 4*v + l, -21 = 2*b - 5*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 65\/4 - 6\/24. Suppose -18*n + 2174 = -h*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 - 47793*r**2 = 0.\nAnswer: -47793, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/5, -4, 4, -23?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 335, 1151, 2741, 5363?\n\"Answer: 43*v**3 - v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2020630257 to the nearest 100000.\nAnswer: -2020600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*u - 2*u = -15, 4*u - 7 = -5*s. Let g = 16 + -11. Suppose -4*t + t - 3 = 0, -g*o + 3*t = -13. Solve 0 = o*w + 1 - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 73*p**2 - p. Let t(i) = -73*i**2 + 2*i. Determine -3*t(k) - 4*x(k).\nAnswer: -73*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let h = 56534\/9 - 6280. Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2. Let o(f) be the first derivative of f**3 + 41*f**2\/2 - 9*f + 76. Let x(z) = -3*j(z) - o(z). Find the first derivative of x(k) wrt k.\nAnswer: -6*k - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/9 - 36*f**2 + 440*f\/3 - 1328\/9 = 0?\nAnswer: -166, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -124 - 30 - (-2 + 1). Let s = 155 + z. Solve -5*b - s*k = k + 12, 3*b - 3*k + 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3444 + -232?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5230*i**3*u**3 - 1433*i**3 - 816*u**3 - 181*u**2 - 44*u - 3 wrt i?\nAnswer: 15690*i**2*u**3 - 4299*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)**33)**32 assuming n is positive.\nAnswer: n**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6587955470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80250374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2. Let k(o) be the third derivative of -7*o**4\/8 + 90*o**2. What is k(r(a))?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459754 and 4818.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1407 + -1405. What is the nearest to 0.3 in 4, a, 60?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50414 is divided by 50366?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 5*o**2 + 0*o**3 - 4*o**2 to x + f*o + r*o**3 + p*o**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 586978200 to the nearest one hundred thousand.\nAnswer: 587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 11 = 3*k, 44*t + 2*k + 676 + 509 = 181 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60468179?\nAnswer: 47, 1286557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -92, -738, -2498, -5930, -11592, -20042?\n\"Answer: -93*p**3 + p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -48*p + 139. Is 60 a factor of q(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**2 - r + 1429. Does 11 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7469097*o**2 + 7773625*o wrt o.\nAnswer: -14938194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -273? (a) -2 (b) 31 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257474 is divided by 2609?\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from wyywwyyy.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004210054 rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 3}. Give prob of sequence qm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183584 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197333\/35 - 5636. What is the common denominator of -54\/35 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lal when three letters picked without replacement from lmaamlnn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(50)\/(sqrt(40)\/sqrt(4)))**2 - (sqrt(5) - (sqrt(5) + 0))*6) + (((sqrt(5) - (2 + sqrt(5)))*4)**2 - (-2 + sqrt(80))).\nAnswer: -4*sqrt(5) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(7 + -3 + -6). Let x = z - -129. Calculate the remainder when x is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 8*n + 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/130*-13*(0 - 1). What is the closest to -10 in -2\/9, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a + 64. Let w be z(5). Differentiate 26*j**4 + 58*j**4 - 63 - 152*j**4 - w*j**4 wrt j.\nAnswer: -748*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4208*i**3 + 48*i**4 - 4208*i**3 + 2*i**4 + 1 - 1 + (-3*i + 3*i - i)*(-4*i**3 + 3*i**3 + 2*i**3) + 3*i**4 - 6*i**4 + i**4 + 2*i**4 - 2*i**4 - i**4.\nAnswer: 46*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -f83?\nAnswer: -f81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*i + 25, 2*g = -2*i - i + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83714761, -83714762, -83714763?\n\"Answer: -i - 83714760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*i - 16, -4*i = -3*g - 5*i + 20. Solve -4*u + g = -10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 + -7 + 1 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from ciigiggg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 29945066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, -1060, -19 in increasing order.\nAnswer: -1060, -19, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 times 309?\nAnswer: 80958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1239*j + 1 + 1252*j + 2430*j to the form q*j + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*h + 21 = 0, 9 = z - 0*h - 3*h. Suppose -1 = 2*j - f, 3*j - 2*f = 2 - z. Let o = j - -3. Which is the smallest value? (a) 0 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 32*b**2 + 37*b - 33. Let v be c(-34). Suppose v - 3866 = -5*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 1810*k + k**3 + 1805*k - 2*k**2. Determine c(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:41 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*d - 20*d + 16*d - 8*d in the form z + q*d and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + -26)\/(2\/(-3)) is divided by 72\/(-540) + (-2 - 484\/(-30)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = -10, 4*k - 8249 = 3*j. What is k rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/6165 and -73\/50.\nAnswer: 61650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((119 - ((10 - -10) + -16)) + -21).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271952583 and 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6279 and -85\/21.\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 99 - (-63 - -73 - -62)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 35*n - 144. Give c(32).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 7) in base 5?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58117058 - 0.02.\nAnswer: -58117058.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 38 (c) -5 (d) 7\/3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 186 = -17*r + 21*r, -6*r = 3*k - 10*r + 210 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.6 - 14.72. Let x = 0.389 + m. Round x to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 14. Suppose -20 = -y*d - 0*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**3*z**4 + 21313*t**3*z**3 + 76*t**3 - 3*t**2*z**2 + 2*t*z**2 + 1 wrt z?\nAnswer: -48*t**3*z + 127878*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -89. Solve -4*y + 3*y = -i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7581136446 + -5\nAnswer: -3.2418863554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eheie. Give prob of sequence heie.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 - 3*i**2 + 3*i. Suppose 0 = 2*u - 3*b + 2*b - 3, u = 2*b. Suppose 13*d = -80 + 977. Calculate the remainder when d is divided by o(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 66*p**2 + 112*p + 225. Calculate y(-2).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*y - 305910 = 353284 + 255930. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3 - -6) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:39 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/6 - 3*o. Let v(s) = 8*s. Calculate v(a(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 7*s - 6*s. Calculate the greatest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 1\/1878, 0.194, -0.8, -0.3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = 2*w, -3 = 2*w - 1. Let x be (-8)\/10*(-25)\/(-10)*2. Let s = x + u. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-21))\/(12\/(-21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -80*q + 9270. What is c(119)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 + 3. Let d(u) = -7*u**2 - 2. Let f(t) = 3*d(t) + 2*s(t). Let j(m) = 35*m**2 - 3. Determine f(j(g)).\nAnswer: -1225*g**4 + 210*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -82 + 12*w**2 + 41 + 15*w**2 - 2*w**3 - 10*w. Let k be t(13). What is the smallest value in k, 21\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 = -2*w - 2*f, 8 + 4 = 4*f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9) + (-16 - -16) - (-1 + 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -18*m + 29. Let p(x) = 198*x - 39. What is the units digit of p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 41. Suppose 0 = j*k + 5*l - 45, -3*k + l + 63 = 4*l. Solve -5*a = k, 3*h + 4 = -a + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5\/4))\/(u*u*u**12) assuming u is positive.\nAnswer: u**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*c, 9*c - 10*c = -5*r - 8. Let x be 12*(-5)\/(-75)*(-3)\/r. What is the third smallest value in 5, 3\/2, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72637 is divided by 179?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640235 is divided by 213309.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 197668215 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -0.1, -107, -5 in increasing order.\nAnswer: -107, -7, -5, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*j. Suppose -o = -j*o. Let s be 2\/(2 + o)*-5. Put s, 2, 4 in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, d: 5}. Give prob of picking 3 a and 1 d.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2932 - -2973. What is the closest to o in -1, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 7198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 7*j**5\/5 + j**2\/2 + 7. Find the second derivative of f(k) wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25878 - 21443 = 3269*c - 11362 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582497663.\nAnswer: 3, 527499221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -2701764?\nAnswer: -13508820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - u + 3, 2*b = -3*b - 3*u + 5. Put -5, b, 2\/9, 0.2, 17 in ascending order.\nAnswer: -5, 0.2, 2\/9, b, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354850.\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2448856 divided by -13309.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8649.66 decades in months?\nAnswer: 1037959.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314656 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6154 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 6. Let z = -4 + 3. Let i(k) = -445*k + 1321. Let b be i(3). Put z, y, b in decreasing order.\nAnswer: z, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**42*(q**0*q)**(-39)*(q**(1\/2)*q*q*q)\/q*q**3*q*q*q*q*q**(-2)*q**8*q assuming q is positive.\nAnswer: q**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(4\/10)\/(-1). Find the first derivative of -3*t**h - 8 - 2*t**4 + 12 wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 2. Suppose -24 + 6 = 3*f. Let h(y) = -5*y + 3. Let k(c) = f*v(c) - 4*h(c). Let x(j) = 5*j + 11*j + 48 - 48. Calculate k(x(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12*b**2. Let r(q) be the second derivative of q**3 - 61*q. Determine r(m(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -1306, -3470, -6648, -10846?\nAnswer: -16070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 226 = -222. Let r be 62*8\/p - (-8)\/14. Solve 3*a + r*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqpfqwwqpfffkfppl. Give prob of sequence qp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 - 4*s**5 + 3*s**5 + (s + s - s)*(s**4 + 3*s - 3*s) + 9*s**5 - 7*s**5 + 6*s**3 - 6*s**5)*(2 + 2 - 1).\nAnswer: -18*s**5 + 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 > -2132927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-60) - (-1868)\/60. Are 31 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28784)\/(-60))\/(-28) - -17) + 4014\/(-270).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.9 + 1.9. What is the second biggest value in i, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -192*x + 9038 + 4580 - 3634. Let j = 40 + -25. Let q = 33 - j. Calculate the remainder when x is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = 4*r - 1, 0 = -r + 5*b - 5. Let k = -91 + 460. Suppose 362*q - 49 = k*q. Sort r, q, 2.\nAnswer: q, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -21*d + 5. Let k(l) = 27*l - 6 - 2 + 2 - 6*l. Let u be (-18)\/(-3) + 0 + -3 + 2. Let v(s) = u*x(s) + 4*k(s). What is v(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k - 119*k**2 + 3*k**3 + 192 - 391*k + 305*k**2.\nAnswer: 3*(k - 1)**2*(k + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 12, z: 1, i: 5}. Give prob of sequence idif.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 6*u - 7*u + 53*u - 18*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*(((sqrt(108) + 1)*3 + sqrt(108) - (sqrt(108) + 5 + sqrt(108)*1)) + -3) + -3)*3)**2.\nAnswer: -7344*sqrt(3) + 18153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.831 - 8.8. Let k = -0.061 + a. Sort -0.3, k, -1 in increasing order.\nAnswer: -1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -67 (b) 630 (c) -2\/21 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-40))\/(6\/(-8)). Let k = -780 - -780. Let o = -18.6 + 17. Which is the biggest value? (a) u (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n + 3. Let j be d(2). Let p = -6570 - -6575. Sort p, 3, -5, j in decreasing order.\nAnswer: p, 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12816 and 16.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 26 = -o + 14*o, 18*o - l = -22*o + 36*o + 13 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*f + 17, 0 = -4*f - 3*z + 7 - 48. Let t(x) = -50*x. What is the tens digit of t(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0072748 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26552 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -203474426*a - 592608. Let u(x) = -12361*x - 36. Give 49384*u(g) - 3*w(g).\nAnswer: -12346*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*v + 36*v - 16*v**3 + 14*v**3 + 2*v**2 + 119*v**4 to f + s*v**4 + b*v**2 + q*v + t*v**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -241 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774230*i - 774230*i - 12*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 8 (c) -3 (d) 6 (e) -5 (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 497633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 22, 83, 200, 391?\n\"Answer: 3*m**3 + m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*q + 400 = 0, -5*o + 2*o + 308 = 5*q. Suppose 16*a = 10*a + o. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 6. Let y be h(2). Find the third derivative of 4*l**2 - 2*l**3 - y*l**3 + 2*l**3 - 2*l**3 wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 0.269?\nAnswer: 4.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (55\/10)\/((-1)\/8). What are the prime factors of (106*(-2)\/(-4))\/((-4)\/r)?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3233*v + 15*v**2 + 2 + 3233*v - 45*v**2 - 2.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 576 - 56*u - 576. Let q(h) = -2*h. Calculate q(m(x)).\nAnswer: 112*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*a + 2 = -11, 4*q - a - 11 = 0. Suppose -q*z = 3*i - 2393, -4*i - 4*z + 3566 = 378. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 6 = 2*b. Find the first derivative of -2*p**2 - 2 + 7*p**2 + b + 1 wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2052, -2356, -2668, -2994, -3340, -3712?\nAnswer: -4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmccmxc. Give prob of picking 1 c and 1 x.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15197.\nAnswer: 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/48 + (-1881)\/3696 - 11\/42. What is the smallest value in -0.1, 130, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/634652 and -117\/40.\nAnswer: 6346520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213 is divided by 163.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 - 2*c**2 + 15*c - 19. Let z be u(-6). Let l be -6 + (z + -6)*-1. Sort 2, l, -22 in decreasing order.\nAnswer: 2, l, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 514599910593.93 and -5.\nAnswer: 514599910588.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b**(3\/10)))\/((b*b**(1\/3))\/b)*b**(-1\/9)*b**5*b assuming b is positive.\nAnswer: b**(293\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -79?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 913791*u - 14621424.\nAnswer: 3*(u - 16)*(u + 304613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 divide 5041717436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Let o(j) = 0*j - 4*j**3 - j**v + 3*j**3 + j + 22. List the prime factors of o(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 - -121324?\nAnswer: 121424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*c. Let l(s) = s**2 - 7*s + 12. Let n be l(5). Let o(u) = 11*u - 13. Let d be o(n). Solve -g + c*r = -4*r + 10, -r + d = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 + 158 - 28*l - 170 - 23*l**2. Let o(w) = 37*w**2 + 55*w + 25. Let t(v) = 9*j(v) + 4*o(v). Find u such that t(u) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1 - (-6 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096358 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.78183 rounded to 1 dp?\nAnswer: 110.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1914 and -91\/2208?\nAnswer: 704352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -1. Let s be (16\/6)\/(6\/9). Suppose -1 + s = 3*i. Sort i, -0.2, l in descending order.\nAnswer: i, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 22*b**2 - 23*b + 21. Let f be g(-23). Solve -q - f = -2*a - 3*a, 8 = 4*q + 3*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 4*x**2 - 4*x - 2. Let b(j) = 3*j**2 - 2. Let w be b(2). Let c = 0 + w. What is the smallest common multiple of o(5) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 421 = 3179. Suppose -o = -z - 2*m, 2*z + 253 = 3*m + 640. What are the prime factors of z?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*h**2 + 1 + h - 4*h + 0 - 6*h + 145*h**2 to the form w + m*h + v*h**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 51*u**2 - 375*u - 32. Determine y(7).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -4*l - 6*x - 192, -5*l + x + 156 = 0. Solve l*m + 24 = 25*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -1 + (1 + -4 - (48 + -56))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110776.284 rounded to the nearest 100?\nAnswer: 110800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 187316.9 years?\nAnswer: 2247802.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -7*a - 92. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-1) - (((-425)\/34)\/(-5))\/((-5)\/(-8)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (17 + -12)) + -13 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h + 2. Let i be x(2). Let z be 3\/(36\/6)*(-5 - 1). Let n = -658\/45 + 72\/5. Which is the nearest to 2\/3? (a) n (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/612)\/((-21)\/(-95672)). Let o be (2\/1428)\/(846\/188). Let p = o - c. What is the common denominator of p and -49\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3*(-117)\/81?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -21*x**3 + 63*x**2 + 5*x. Let c(g) = 31*g**3 - 95*g**2 - 8*g. Calculate -5*c(o) - 8*d(o).\nAnswer: 13*o**3 - 29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, -12, 3, -5 in increasing order.\nAnswer: -154, -12, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -321140 rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5195364\nAnswer: 1\/1298841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9961 + 11671. What are the prime factors of h?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704\/96 - 56\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16665800.577 to the nearest one hundred thousand.\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 11 + -8 + -6 + -17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:56 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d**2 - d. Let r be 44\/3 + (-4)\/(-12). Suppose 2*i + 4 = 0, i = 3*h - 2*i - r. Suppose -2*f - f = h*y + 12, -3*f - 11 = 2*y. Determine k(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3420 + -3400. Calculate the highest common divisor of w and 3170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 548608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1575 - 4?\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/18 - (60\/(-9) - 0). What is the biggest value in f, -3\/7, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -191*r**3 + r**2 - r - 3. Suppose -79 = -8*n + 7*n. Let y = 77 - n. Is q(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 10:17 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 60\/24*16\/180\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30616c5 + -1?\nAnswer: -30616c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -706, -696, -686, -676, -666, -656?\n\"Answer: 10*o - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39668326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:09 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -463034007268826 and 0.\nAnswer: -463034007268826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25b - -1a?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -8 - (10 - 12 - -6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 59666564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110382137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 12:46 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:03 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111\/8 less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7042.3102 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, 34.\nAnswer: -3, 2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*r**4 - 3*r**4 + 20*r**4 + (0*r**4 + 6*r**4 - 4*r**4)*(4 - 4 - 1) + 3*r**4 + 2*r**4 - 3*r**4 - 6*r**4 - 6*r**4 - 9*r**4.\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 961 and 124.\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/9 + 13\/(-117)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022\/8 + 22\/(-8) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, 1 x, and 1 a when four letters picked without replacement from {f: 2, v: 1, l: 1, a: 2, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8870*n**3 + 25*n**2 - 25*n + 22. Suppose -21 = -c - 6*i + i, 0 = -3*i + 3. Let x be b(c). Let z = x + 23825498. Round z to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 890 + 1773 - 939 + (0*x + x**2 + 0*x)*(2*x - 5*x + 5*x).\nAnswer: x**3 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 + -41 + (-21 - -22)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:32 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine halves of a centimeter?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b155 + 4?\nAnswer: -b151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*q = -3*y - 6, q - 1 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 + 1. Suppose -2*x + 2 = -x, -3*k + 11 = -f*x. Suppose 70 = k*w - c, 0 = 5*w - 2*w - 2*c - 49. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 43. Which is the second biggest value? (a) l (b) -0.3 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**6*z*(z\/((z\/(z*z\/((z\/(z\/(z\/(z*z**(4\/7)*z))))\/z)*z))\/z))\/z)**(6\/35)*(z**(-1\/7)*z*(z*z**(-3))\/z)**(-45) assuming z is positive.\nAnswer: z**(24237\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1318, 2636, 3954, 5272, 6590?\nAnswer: 7908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v\/(v*v**(-2))*v))*v*v)\/(v\/v**(-1)))\/(v**7\/v**(-5)) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 60\/70*7. Let x = 0 - -2. Suppose -12 = -6*f + 2*f + x*p, 5*p - 6 = -2*f. Solve d = c - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1051431, 2102869, 3154317, 4205781, 5257267, 6308781?\nAnswer: 7360329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**3 - 184*q**2 + 480*q - 134. Let x be r(34). Let b(s) = 6*s + 2. Let n(l) = 1 + 11*l - 6*l + 0. What is x*b(j) - 3*n(j)?\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -62*w**2 + w**3 - 685 - 329*w - 961 + 1244 = 0.\nAnswer: -3, -2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -303 - -310. Suppose 4*c + 504 = m*c. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.984 + -0.954. Let v = -1 - 0. What is the nearest to v in 5, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**2 - 5*j - 8. Let d be (-16)\/6 + 4\/6. Let p(k) = -3*k**2 - 2*k - 4. Let l be (-3 - 59\/(-7)) + (-36)\/84. Calculate d*s(w) + l*p(w).\nAnswer: -w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 2. Let t be d(-4). Let w(f) = 4 - 8*f**2 - 1 + 6 + 9*f**2 + 4*f. Does 7 divide w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/222 and 62\/33.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1414, 1357, 1278, 1171, 1030?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + -2*sqrt(2))*-6)**2.\nAnswer: 432*sqrt(2) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 1, p: 1, b: 5}. Give prob of picking 1 p, 1 b, and 1 i.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(-12))**(-42) assuming l is positive.\nAnswer: l**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111916 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-14 - -19)) + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -74.2\nAnswer: -222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -0.1 (c) 129991 (d) -3 (e) -0.4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(396).\nAnswer: -7 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -5037*i**2 - 5137*i + 14148. Find the first derivative of f(q) wrt q.\nAnswer: -10074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -631, -948?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 9395007*o + 85.\nAnswer: 9395007*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-2)\/(-9))*(-6)\/18. Let g = -110 - -92. Sort -3, h, 4, g in descending order.\nAnswer: 4, h, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:46 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:23 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111980540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/210 - 23*v**6\/600 - 101*v**5\/300 + 19*v**4\/24 + 28*v**3\/5 + 59*v**2 - 2*v. Determine i so that o(i) = 0.\nAnswer: -3, -1, 8\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 4. Let l(v) = -5. Let q(t) = 11. Let a(f) = -13*l(f) - 6*q(f). Determine -5*a(r) + i(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1)\/((-14)\/(-6) - 2). Suppose -3*a = -2*h + 19, 4*a - q = a. Let f(t) = -2 + 4 + 0 + h*t. What is f(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 27. Let g = -78 + 71. Calculate the remainder when f(g) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 5. What is x(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137686?\nAnswer: 2, 43, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2666356?\nAnswer: 2, 7, 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**0\/w)\/w*w)**44)**45\/(w**(-1)\/w**1)**(-10) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -59*f**3\/6 - 41*f**2 + 47*f + 3. Is c(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11836, -23844, -35854, -47866, -59880, -71896, -83914?\nAnswer: -95934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6997 + 6997 + 190*m in the form i*m + f and give i.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:42 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 0*p)*(-1103 - 4*p + 1094 + 16*p)*(-6*p + 4*p - 2*p).\nAnswer: 144*p**3 - 108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/10 greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let s be ((-18)\/(-5))\/(6\/40). What is the common denominator of 27\/10 and x\/3 + (-311)\/s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9052*m**4 - 2*m**2 + 68455*m?\nAnswer: -108624*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.459 + -0.041. What is the closest to -4 in w, -1\/4, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 46327836.\nAnswer: -1\/11581959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -0*i + 18. Find the second derivative of -3*w**3 - 6*w - 15*w + 12*w**i + 20*w - 39 + 0*w**3 wrt w.\nAnswer: -18*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 6967325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247581*r**2 - 6109*r**2 - 598339*r**2.\nAnswer: -852029*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*m - 15 = -958*m - 4*u, -u + 7 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a - 6 = 0. Let i(j) = -7*j**3 - j**2 - 2*j. Let z be i(a). Round z to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -364248 or -364247?\nAnswer: -364247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3301367 from -6326081.2.\nAnswer: -9627448.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 10. Suppose 3*j = -66 - 141. Let y be 2\/5 - j\/15. Determine a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/10 - 189397*m**2\/10 + 284089*m\/5 + 378788\/5 = 0.\nAnswer: -1, 4, 189394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 + d - 39 - d**3 - d**4 + 16 + 3*d**2.\nAnswer: -(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923831 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932*y - 474*y = 384*y + 370. Determine s so that -9\/5 - 3\/5*s + 9\/5*s**y - 54\/5*s**3 + 54\/5*s**2 + 3\/5*s**4 = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-27)*(21\/2)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = 0. Let g be 2 + s + 0 + 2. Suppose -16 = g*k + 8. Is -5 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11501*l**3 + 2*l - 1. Let c(t) = t**2 - 3*t + 1. Let k be c(1). Let h = k - -2. Let g be d(h). Round g to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/49)*m*m*m**(-28))\/(((m*m*m**5*m)\/m)\/((m\/m**17)\/m)))**(-15) assuming m is positive.\nAnswer: m**(36720\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*v + 22 = 0, 5*t + 61 = -3*v + 4*v. Is -12 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400 (base 8) in base 9?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d*l*w**3*x + 2*d*w**2 - 2*d*w + 18*l*w**3*x - l*w**2*x - w**2*x wrt w?\nAnswer: 36*d*l*x + 108*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50409900 divided by -1400275\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17592 - -8033. Suppose 0 = -r - 45375 - g. What is r rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-8)\/(-176))\/(10\/60).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477451233?\nAnswer: 3, 7, 2526197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -931, -2468, -6599, -14620, -27827, -47516?\n\"Answer: -216*v**3 - v**2 - 22*v - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 + -3.6?\nAnswer: -3.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z = f - 52, -3*z = 6. What is the remainder when f is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -328 + 471. Let c = z - 138. Suppose c*l = 4*l + 7. Solve -3*a - 2 = l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.79190072622 and 0.162.\nAnswer: 0.95390072622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36623 by -691.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) -2606\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(98) + -2 + 4 + 4*(sqrt(98) + sqrt(98) + -2 + sqrt(98) + sqrt(98) - sqrt(98)) + sqrt(98) + sqrt(98) + -2)**2.\nAnswer: -1470*sqrt(2) + 22099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 7*n. Let t(o) be the third derivative of -4*o**2 + 0*o**3 - 5\/24*o**4 - 1\/20*o**5 + 0*o + 0. What is 5*s(j) + 7*t(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -244, -366, -488?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 3:16 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r + 276. Let i = 72 + r. Solve 0 = 5*h - g - 1, -i*h + 3*g - g = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49778972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2330108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(3\/11)\/(x*x**6*x**(-6)\/x) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -96*q**3 + 5*q**2 - 7*q - 238. Let j(x) = 48*x**3 - 2*x**2 + 3*x + 119. Let k(i) = 5*j(i) + 2*l(i). Find the second derivative of k(u) wrt u.\nAnswer: 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -9 (c) -0.3 (d) -1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 49*u. Let v(w) = 4334*w. Calculate v(q(f)).\nAnswer: 212366*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-165)\/22*(-8)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3457292 and 0.4.\nAnswer: 0.13829168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2770, 2763, 2760, 2761, 2766, 2775, 2788?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -39?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 1. Let y(v) = v + 1. Give 4*d(i) - 10*y(i).\nAnswer: -2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -843*q - 277*q - 37*q + 1 to the form z*q + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 28531, -77 in descending order.\nAnswer: 28531, 3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 3.29. Let n = d - 0.210029. Round n to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 72*a**2 + a. Let x be w(2). Suppose -o + x = o. Is o 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 18884502?\nAnswer: 2, 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:00 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33\/4 - -289\/36. What is the second biggest value in 5, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -178.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/9 and 57\/243842.\nAnswer: 2194578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.1, -4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 15 - 7 + 15 - 12*f. Let z(k) = k**2. Let p(h) = -l(h) + 4*z(h). Let s be p(-14). Solve 3*x = 2*g + s, 4*x + 5 = -5*g + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -0.4, -2, -4\/7, -196?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103116 and 457444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.671 and 193.\nAnswer: -2059.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(44)\/sqrt(2) + (sqrt(22) - -1*sqrt(352)))\/(3*(sqrt(11) - (sqrt(22)*-1)\/sqrt(2))*-4).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a424 (base 12) in base 14?\nAnswer: 10108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**4 + 2*r**4 + 2*r + 3*r**4)*(2*r - 2*r - 2*r).\nAnswer: 4*r**5 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 + -11011010?\nAnswer: -11002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 188435090 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 255 + 761. List the prime factors of p.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 374 - 142 = 0. Let f(c) be the second derivative of -c + 7\/6*c**3 + 0 + y*c**2. Differentiate f(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 530*y - 520*y + 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 16*x. Let j be c(17). Let w = j + 22. Suppose -w*n - 164 = -7*n. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*z = 10*z + 880, l = -z - 221. Let s = 252 + l. What is the greatest common factor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 15*k**3 - 5*k**2 + 57. Let d(c) = -14*c**3 + 4*c**2 - 55. Let h(n) = 5*d(n) + 4*y(n). Find the first derivative of h(q) wrt q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-11)\/2)*(-748)\/(-17) is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, -1, -28, -73, -142, -241, -376, -553?\n\"Answer: -w**3 - 8*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890, 1786, 2682, 3578?\nAnswer: 4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 16*v**4 + 8*v**4 - 2*v + 4*v**4 + 10*v**4 - 6*v**2 + 4*v**4 as i*v**3 + w*v**2 + b*v**4 + u*v + o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 22*d**3 + 52 + (20 - 10 - 21)*(d**3 + 0*d**3 - 7*d**3) to the form a*d**3 + q + g*d**2 + v*d and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fff + 0?\nAnswer: fff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1251.91 + 412531319.\nAnswer: 412530067.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 543*l + 544*l + 42 = 0, 4*x + 7*l = -30. Let z(k) = -k**2 + 2*k + 3. Let m be z(4). Sort -1, x, m in increasing order.\nAnswer: x, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*n + 166*n**3 + 100*n - 16*n**3 + 157*n**3.\nAnswer: 307*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from ssjsasysssjj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 6\/19 (c) 0 (d) -2123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -98*w + 9. Let n(f) = 48*f - 5. Give 6*d(c) + 11*n(c).\nAnswer: -60*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 28. Let u be o(-7). Suppose u*k + 1288 = 8*k. What are the prime factors of k?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d - 8. Let z be x(-6). Let i be (2\/z)\/(1\/20). Suppose 0 = 2*c + 3*l + 1, -c = -l - 54 + 37. Solve -i*y - c = -12*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:23 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 0, -1, -20 in descending order.\nAnswer: 0, -1, -3, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 602?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46879, -43931, -40983, -38035, -35087?\nAnswer: -32139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 253.55832545.\nAnswer: 255.55832545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102653 rounded to 4 dps?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 846031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2695 (c) 3 (d) 0 (e) 12\/37 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**5\/5 + 10*i**4 - 238*i**3\/15 - 2278*i**2\/15 + 1268*i\/5 - 336\/5 = 0. Calculate i.\nAnswer: -7, -6, 1\/3, 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {p: 1, n: 1, d: 2, f: 1, r: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 6. Let q be c(-8). Calculate the common denominator of -37\/14 and (-25)\/84 - q\/(-105).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/10520 and 87\/16832.\nAnswer: 84160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*o**2 + 102*o**2 + 80*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*j + 7 + 2 - 8)*(-317 + 17*j**2 + 317) + (0*j**2 - 3*j**2 + 4*j**2)*(-1 + 2 + 1)*(-2*j + 4*j - 3*j).\nAnswer: 1120*j**3 + 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(1539))**2.\nAnswer: -18468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 461776764*d**2 - 612536849.\nAnswer: 923553528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 533 - 279. Let z = 254.1 - r. What is the third smallest value in 1, 6, z, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let s(q) = 2*q**2 + 4*q. Let g be s(-3). Let n(j) = 24*j - 5. Let a(d) = g*v(d) + n(d). Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/2 + 25*n**3\/6 - n**2\/2 - 3*n. Let d = -155 - -159. Let i be m(d). Is i bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 4, 160 in decreasing order.\nAnswer: 160, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1320331 + -322?\nAnswer: 1320003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (240\/64)\/(3\/(-8)). Let y = p - -18. Let h(t) = 2*t + 10. What is the remainder when h(y) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/5)*f*(f\/f**(10\/3))\/f*f*f*f*f*f*f*f*f**(19\/2)*f*f**(-1)*f assuming f is positive.\nAnswer: f**(491\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 7.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10429618 by 17.\nAnswer: -10429618\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 0.6 (b) 19 (c) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 896*z + 110 - 1658 - 2234 - 895*z - 676 to c + d*z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prjrrmmrfp. What is prob of picking 1 r and 1 p?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-84)\/(-10) + (-3 - 130\/(-50)). Solve 0 = -9*u + 6*u - 5*j + d, u + 5*j = 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/9 - 31*s**3\/9 + 11*s**2 - 101*s\/9 + 34\/9.\nAnswer: -(s - 1)**3*(s + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 710244643 a multiple of 2362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 divided by -421?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.7541328 + 27\nAnswer: 27.7541328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x - 258. Let i be d(-37). Suppose 1\/2*b**2 - 3\/2*b + i = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/414 and -47\/11.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 5*z**4\/6 + 2*z + 2. Let p(u) be the first derivative of v(u). List the prime factors of p(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:35 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y - 16*y + 45*y - 2)*(-810 + 1439 - 901).\nAnswer: -3536*y + 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 1 + 8\/(-4). Let y(j) = -2 - j**k + j + 4 - 2*j. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*a + 6122, -5*r = 4*a - 6409 - 1756. Which is bigger: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -3*j**5\/5 - 66*j**2 - 23*j + 784. What is the derivative of g(h) wrt h?\nAnswer: -12*h**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6218889nm in millimeters?\nAnswer: 0.0000006218889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 17198*s**2 - 787934*s - 9049074.\nAnswer: -2*(s + 23)**2*(s + 8553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7864\/32773 or -1?\nAnswer: -7864\/32773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18.8 (b) 3 (c) 4 (d) 0.2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 20 = -5*j - 8*h, -5*h = 2*j - 5. Let d = -4 + j. What are the prime factors of (7 - d)*(0 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 54 = 6*x. Suppose p - 3*s = 5*p - 45, 2*p - 3*s - x = 0. Calculate the remainder when 61 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 1 + 31*t**3 - 2*t**4 + t**2 + 126*t + 3*t**2 - 29*t**3 to h*t**4 + g*t + j + k*t**3 + d*t**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018774 is divided by 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20807\/3 <= -6937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 17*k**2 + 30*k + 8. Determine o(-14).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*l - 63 + 15, -4*i + l + 45 = 0. Suppose 31 = q + i. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 229*s + 5541. What is g(-25)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.2, 14, -0.1, -4\/9 in descending order.\nAnswer: 14, -0.1, -0.2, -2\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 53571 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 45 = 5*y, -119*y = 3*j - 121*y - 45. Solve 36 = -j*m - 39 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118.09 + 0.09. Let f = y - -118.5. What is the closest to 0.1 in -0.4, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 53. Let t = 76 + -336. What is the least common multiple of r and ((-6)\/4)\/(30\/t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 9471?\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12550 (base 8) to base 14.\nAnswer: -1dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(561)\/(sqrt(22)\/sqrt(2)))\/(sqrt(27)*3) - (1 + ((sqrt(68)*-2)\/sqrt(4) - (3 + sqrt(2448)))).\nAnswer: 2 + 128*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -32. Let b(f) = 2*f + 3. Let h(l) be the second derivative of -4*l**3\/3 - 13*l**2\/2 + 2*l. Calculate v*b(m) - 2*h(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(2\/27)\/(u**(3\/7)\/u**6) assuming u is positive.\nAnswer: u**(1039\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 140826878 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 2:38 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-48))\/((121\/(-1210))\/(1*3\/(-20))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, 9, 2\/11, 13.5, 0.2, -0.1 in descending order.\nAnswer: 13.5, 9, 0.2, 2\/11, -0.1, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -0.0105.\nAnswer: 0.5895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 465908*a**4 + 678184 wrt a?\nAnswer: 1863632*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 153 = -59*d - 668 - 221 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454 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: Suppose -2*y = -4*d - 6*y + 976, 2*d = -4*y + 486. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19754 = 20*k - 6*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1679591 and 274983?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -286629214 - 0.14\nAnswer: -286629214.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3600)\/(-3300)*1804\/123?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83249, 166994, 251235, 335972, 421205, 506934?\n\"Answer: 248*o**2 + 83001*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1130 + -1132. Let h be 1 - 10*2\/2. Let y be ((-21)\/28)\/(h\/(-8)). Put y, 0.1, -0.2, f in decreasing order.\nAnswer: 0.1, -0.2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + 1 + -5 + -5 + (-20 - (-20 - 9)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 27 = 0, 818*l - 821*l = -79*y - 729 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 7*i + 23 + 22 + 26 + 5*i - 56 as n + b*i + c*i**2 + g*i**3 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111212 - -10110?\nAnswer: -101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(242) - -5*2*sqrt(72) - (-5 + (-2*sqrt(1152) - sqrt(18))\/(-1*sqrt(144) - sqrt(144) - sqrt(9)))) + 3.\nAnswer: 10 + 721*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 679?\nAnswer: 67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-126))\/((-1)\/(-6)). Let k = -79\/42 - n. Which is the closest to -0.3? (a) -0.1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 9*j**4\/4 - 2*j**3 + 17*j + 13. Let v(a) = 3*a**3 - 2*a**2 + 6. Determine -6*c(q) + 17*v(q).\nAnswer: -3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxo when four letters picked without replacement from xoqxqoqxqqo.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(171) - (-3*sqrt(171) + sqrt(171)))*4)\/(3*sqrt(45)\/(2*sqrt(5) - sqrt(5))) + -3)*-3)**2.\nAnswer: 216*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225909*b = 225900*b - 270 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2599, 2913, 3225, 3535?\nAnswer: 3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8621130 and 1708?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5251.02171 - -5251. Round h to four dps.\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 214*q**3 + 18 + 236*q**3 wrt q?\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olo when three letters picked without replacement from olollwglql?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12020, -12349, -12678, -13007?\nAnswer: -13336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2423187 by 9.\nAnswer: 269243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7347 and 474.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1941*p*r**2 - 399*r**2 with respect to p.\nAnswer: -1941*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4783*n**3 - 1611*n**3 + 14652*n**3.\nAnswer: 8258*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16\/(-12)*(21\/(8 - 1) + -417) and 64.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let g be r(3). What is the derivative of -g*h - 3 + h**3 + 3*h wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 2, d: 2, e: 2, q: 10}. What is prob of picking 2 v and 1 m?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-3 - (6 + -15)) + 1 + 70\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 43524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69241*c**5 - 13231*c.\nAnswer: -1384820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4771 at least 0.0271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus 4802465?\nAnswer: -4802455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:22 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 828 by -10.\nAnswer: -414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (14 - (36 - (11 - 8 - 2)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22034 - 966. Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -78. Suppose g - 2*o = -7*o + 16, 3*g + 3*o - 12 = 0. Let l = g + z. Solve -31 = 5*q - l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1320, 1327, 1338, 1353, 1372, 1395, 1422?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 665 and 830851.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -174, -95\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -567\/4?\nAnswer: -567\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*z - 3 = 0, -206780*z = 3*r - 206781*z - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 42. Let g(t) = 2*t + 37. What is the units digit of g(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oxxxoxoooooooxooxoo.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 27*x + 123. Let f be r(20). Let d(s) = -590595*s - 115. Let l be d(f). What is l rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2151 + -2141. Solve 146*p - 136*p = -u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 9.5. Let u = -1.9 + 10.9. Let c = w + u. Which is smaller: -0.04 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/23))**(-4\/9) assuming w is positive.\nAnswer: w**(8\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.1483mg to nanograms.\nAnswer: 20148300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2098246 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from ppzzzppzza?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r. Let o be (48\/(-20))\/((-33)\/110). Let u(h) = -15 + 8 + o + 4 + 0 + 14*h. Determine u(g(y)).\nAnswer: -28*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3, -47, -0.4, 82.183?\nAnswer: 82.183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788283857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)*p)\/p*p**2*p)\/(p**(-3\/2)*p*p*p**(-2\/5)) assuming p is positive.\nAnswer: p**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558487 and 688154.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 1. Let d(r) = r. Let t(x) = -2*d(x) - v(x). Let n = -1 - -3. Let i be -1 + -1 + (-4)\/n. Determine t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*m**2 + 27*m**2 + 21*m**3 - 23*m**3 as d*m**3 + k + j*m + t*m**2 and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 9*t. Solve 0 = -4*y - 4*b + 12, -6 = -y + t*b - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -11, -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + 120 + -86 - 14 - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 166313 + 4aa?\nAnswer: 166812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/216986939 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 9960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 7.32248.\nAnswer: 2.928992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - r - r**4 + 7*r + 2*r**3 in the form z + j*r**3 + s*r**4 + q*r**2 + f*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j - 8 = 0. Let s be ((-2)\/4 - j)\/(-4). Is 0 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/45 + 987\/15. Let v = d - 63. Solve -c + 3*c = -x, 5*c = -x - v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-36)\/(-24) + 35063\/(-42)*-3 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 2 + (sqrt(180) + 0)**2)*-4 + -5.\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Let t(l) = -l**2 + 3*l - 3. Let w be t(3). Suppose -2*r + 3*d + 5 = 0, -d - 4*d + 1 = -r. Sort r, g, w.\nAnswer: w, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 3*z**2 - 2. Let g(o) = -2*o - 2*o + 2*o + 4*o + 7. Suppose -3*a - 14 = 1. Let y be g(a). Give d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 27*i**2 - 23*i - 2*i**2 + 21*i.\nAnswer: 22*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x**2 + 6*x + 5. Give v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/100 - -627\/200. What is the common denominator of u and -79\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4) - 1\/2. Let p be (-6)\/598 - ((-85)\/(-1105) - (0 + 0)). What is the nearest to 0.1 in c, p, -2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 - 8*u**3 - 7*u**3 + 8*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5908 - 5425.7. Let k = -482 + y. Which is the third biggest value? (a) k (b) 54\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 154*n**2 + 309*n - 425. Let p be q(-152). Which is the second smallest value? (a) 1\/6 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1878 and 3443.\nAnswer: 20658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 598*s**2\/5 + 16312*s - 316736\/5.\nAnswer: (s - 392)*(s - 202)*(s - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1958325 + -3651512. Let q = g - -1693175.999999. Let w = q + 11. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011100 (base 2) to base 11.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 + 2811*g**3\/5.\nAnswer: -g**3*(g - 2811)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 34*o**2 + 69*o + 3. Let n(z) = 3*z**2 - 13*z - 28. Calculate the smallest common multiple of n(-9) and u(-2).\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*m**3 + 46*a**2*m + 790*a**2 - 2*a*m**3 - 96983*a*m**2 + 6*a*m + m**2 wrt a.\nAnswer: -2*m**3 + 92*m + 1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13043311 (base 5) to base 7.\nAnswer: -1042023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/21)\/(((-6)\/15)\/((-35)\/(-25)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(1\/58)*(j**(1\/2))**(-29))\/((j\/(j\/j**(2\/9)))**(-18)\/(j**1*j\/(j*(j\/j**(-1\/5))\/j*j*j))) assuming j is positive.\nAnswer: j**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788 a factor of 1525496331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*y**2 + 55*y**2 + 47*y**2)*(208 - 208 + 26*y**2).\nAnswer: -104*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8976136572176 minus -10?\nAnswer: -8976136572166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3.2, -0.05 in decreasing order.\nAnswer: 3.2, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*((sqrt(114) - sqrt(114)*2)\/sqrt(6) + 1) - ((sqrt(19) - (2*sqrt(931))**2)*-6 + -4)).\nAnswer: -22342 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 427*g - 2698. Give q(220).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dwddjwjw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 4*a - 1. Let j be x(4). Suppose 4 = m + 7. Let t = j - m. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -19 + 13 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1237 + 17279\/14. Calculate the common denominator of (-3 - 141\/(-66)) + 0 and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488460 to the power of 1\/2, to the nearest integer?\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 8531.\nAnswer: 34124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 9371228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -220?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -197 or -987\/5?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 7*p**2 + 5*p + 8. Let s be k(6). Suppose -s*r + 0*x + 350 = 2*x, -2*r + 380 = -4*x. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 8 = -2*x, -5*x - 2*c = -6*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/7, 0.414, 0.4, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22624*g = -22662*g - 570 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(56)\/sqrt(2) + sqrt(28))*-4)\/(sqrt(28)\/sqrt(28) - (sqrt(400) + sqrt(400)*2))*-2)**2 + -4.\nAnswer: -6756\/3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 42. Let p(g) = -4*g**2 - 3*g. Determine p(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26905.923s?\nAnswer: 448.43205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 318*j - j**2 - 7 - 187*j + j**3 - 154*j as r*j**2 + u*j**3 + t + h*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 18 = -4. Find v such that -3\/4*v - 3\/4*v**u + 3\/4*v**4 + 0 + 3\/4*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 278058*p**4 + 4*p**3 + 4*p**2 + 25230252 wrt p.\nAnswer: 1112232*p**3 + 12*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28140 divided by -84.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 11:12 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -7. What is the lowest common multiple of (-1 + 3)\/(2\/v) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 10 - 61 = 0. Suppose -118 = -4*w + 5*q, 10*w + 2*q + 124 = 14*w. Suppose w*i - 20 = 12*i. Solve 0 = -4*k + m - i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40a6c0 (base 16) in base 14?\nAnswer: 7c4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*i**4 - 10*i**3 - 2*i**2 - 18*i - 224?\nAnswer: 1464*i**2 - 60*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/23 (b) 4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1353\/120 - (-2 + 57\/24) and -17\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 32 = -4*i - 6*f, -2*i = 3*f - 19. Factor 92*x**3 - 171*x**3 + 9*x**4 + 3*x**2 + 3*x**i + 88*x**3.\nAnswer: 3*x**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 46.06, 65 in ascending order.\nAnswer: -1\/5, 46.06, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 170?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/2 - 6*s**2 + 24*s - 18. Factor r(j).\nAnswer: 3*(j - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Let r(y) be the second derivative of 3*y**4\/4 - 20*y. Determine i(r(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(5 + (sqrt(19) - sqrt(19)*-3)))**2 + 3*(sqrt(19)*-2 + 0).\nAnswer: 354*sqrt(19) + 2956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmxxmxxxmxxmmxxxxx?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*y + 4, 5*y + 3 = -k + 8. Let c(s) = s**2 + 15*s + 11. Let m be c(-14). Put k, -2, m in descending order.\nAnswer: k, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/1)\/(-1)*(-1160)\/88160\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 50.3. Let d = q + 3. Let n = -10.1 - -9.9. Which is the closest to n? (a) 1\/4 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4835968 divided by 47?\nAnswer: -4835968\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (-4*sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66))\/sqrt(6) - (sqrt(11) - (sqrt(704) + -5*sqrt(704))))**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/84308558 and 5\/4.\nAnswer: 168617116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -150 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 + 1472*t**4 - 386706*t**3 + 43958268*t**2 - 2051159544*t + 32937556176 = 0.\nAnswer: 42, 177, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajf when three letters picked without replacement from {j: 2, a: 1, f: 3, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r = -20. Let s = -35 + 37. What is the first derivative of 2*q**s - 8*q**2 + 4*q**2 - r wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 4*p**2 + 15*p**2 - 3*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.39 and 18517.\nAnswer: 18516.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 - 379 - 27*y**3 - 4*y + 246*y**2 + 2*y.\nAnswer: -2*y**3 + 246*y**2 - 2*y - 379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6166 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 629 times 6424\nAnswer: 4040696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 45*n + 244. Let w be i(-6). Which is smaller: w or -188\/7?\nAnswer: -188\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58990 + -58993. Let q be (1 - -1)*2\/(-36). Let w = q + -4\/45. What is the third biggest value in -2\/5, i, w, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 308\/9?\nAnswer: 308\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-11 + 10 + -1). Let o = 290\/483 - 2\/69. What is the biggest value in -3\/5, o, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s - 1. Let m(u) = -26*u**4 - u**3 + 165*u - 3. Let f(h) = -3*i(h) + m(h). Find the second derivative of f(b) wrt b.\nAnswer: -312*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54473 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -66*4\/714 - (-3)\/7. What is the closest to t in -2\/5, 1\/3, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-56) + 190\/7. Let t = 33 - l. Solve -4*p - t = -2*s, -s = -p + 4*s - 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32428?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 3*q + 7\/6*q**3 - 19\/2*q**2 + 0 - 7\/12*q**4. Let f(r) = -3*r**2 + 4*r - 9. Let m(u) = 5*f(u) - 2*w(u). Calculate m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 1.2. Let k = f + 2. Let l = k + -6. What is the nearest to 0 in 3, 1\/11, l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18505 + -10688. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1)\/(-15) + 9\/5. What is the remainder when 4 is divided by -1*d + (-30 - -34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/17 (b) 0.3 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Let c(s) = s + 5. Calculate c(u) - 2*o(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 1, g: 3, k: 4}. What is prob of picking 2 g and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = 10. Solve -s*t + 3 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 201 + -47 - (129 + 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s**3 - 2 - 3*s**2 - 2*s**3 - 3*s - s**2. Let b be i(-2). Suppose b*l = 44 + 40. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 4, j: 3, m: 6}. Give prob of picking 1 m and 1 x.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -693101, -2772402, -6237893, -11089568, -17327421, -24951446, -33961637?\nAnswer: -44357988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 - 10*z - 4 + z**2 + 5*z. Let v be t(6). Suppose d + 4 + v = w, -w = 5*d. Solve -4*n - 14 = -0*l - 2*l, 5*l = w*n + 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4 + 3*n + 3 - 8*n - 2*n - 4*n + 4*n + (0*n + n - 2*n)*(-2 - 3 + 3) - 1 + 1 + n - 1 + n + 1).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 1. Let b(p) = -11*p - 3. Suppose -s + 0 + 3 = 0. Suppose -2*f + 0*t - 5*t = 21, 4*f = 4*t - 28. Calculate f*h(w) + s*b(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171773 + -756350. Let k = 928086.99967 + h. Let v = 36 + k. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 718*u - 11. Let q be n(9). Suppose 0 = 6*k + 85 - q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*a + 63, -3*a + 2*a - 5*y + 8 = 0. Let c be 1\/2*(23 - a). Put -33, 1, c in ascending order.\nAnswer: -33, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131 in -12, 6\/79, -3, -0.6?\nAnswer: 6\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 26. Let g be j(8). Let l(m) be the second derivative of -1\/12*m**4 + 0*m**g + 0*m**3 - 9*m + 0. Let h(b) = -10*b**2. Calculate h(l(k)).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -97*i**4 - 5*i**3 + 17*i**2 + 5*i + 8. Let k(q) = -2*q**4 + q**3 - q**2 - q - 1. Let p(f) = 5*k(f) + s(f). Find the third derivative of p(d) wrt d.\nAnswer: -2568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 51746.\nAnswer: 51746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -24. Solve 2*g - 4*x = 22, 2*g + w = g - 2*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 - 5*i**2 + 46*i + 99. Let w be s(-3). Let v = 2 + -6. Which is the fourth smallest value? (a) w (b) 2 (c) v (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b - -678b?\nAnswer: 6710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5 - 7. Suppose 25496 = 3*m - t*b, 2*m = b + 13001 + 3998. What is m rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9)*0)\/(-2). Let f be -2 - (y\/(-3) + -2). Suppose -k - 3*k + 56 = f. 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: Expand (-2*o**3 + 4*o**3 - o**3)*(0 + 3 - 2) + (3*o - 4*o + 4*o)*(0*o + 0*o - 2*o**2).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)*q**(-6)\/q*q)**46*(q**(-3)*q**6)**49 assuming q is positive.\nAnswer: q**(-727)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003453 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 47a914 (base 14) to base 6\nAnswer: 124255542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/23 - 111479456*x\/23 + 1553458638756992\/23 = 0.\nAnswer: 27869864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6321191 by 1.\nAnswer: -6321191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, o: 1, q: 3, p: 6}. What is prob of picking 1 d and 1 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w. Let r(j) = 20*j**2 + 55*j + 65. Let i(v) = r(v) + 15*t(v). Factor i(u).\nAnswer: 5*(u + 1)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983713 is divided by 812?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4*y - 3, 3*y + 4*z - 1 = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z - 2. Let i be p(-4). Suppose 4*j + n + 23 = 0, 0*j + 27 = -3*j - 4*n. Sort 3, j, i.\nAnswer: j, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (((-230 - -241) + 0 + -18 - 2) + -81).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y - y + y**3)*(0*y + 0*y - 4*y)*(-2*y + y + 2*y).\nAnswer: -4*y**5 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 92, 129, 150, 149, 120, 57?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*v**3 - 80*i*v + 3*i + 432*s*v**3 + 19195*s*v + 1312*v**4 + 2*v wrt v.\nAnswer: -6*i*v + 2592*s*v + 15744*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3 + 19*c - 3 - 20*c. Let h(k) = -70*k. Calculate h(f(v)).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1365962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118008598?\nAnswer: 2, 29, 43, 47317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -353*x + 712. Calculate the remainder when a(-6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3997389*x**5 + 17*x**2 + 2112*x wrt x.\nAnswer: 239843340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(304)) - sqrt(95)\/(sqrt(5) + sqrt(605) + (sqrt(605) - 3*sqrt(605))).\nAnswer: -239*sqrt(19)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 - 3*q - 2. Calculate l(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -21. Let q be s - (-1)\/((-4)\/(-32)). Solve -5*f + 25 = 0, -2*w - 3*f - q = -2*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40949, -81883, -122799, -163697, -204577, -245439, -286283?\n\"Answer: 9*s**2 - 40961*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9399?\nAnswer: 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-14)*(1335\/210 - 6).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnppnngggaaappngpag. Give prob of sequence pa.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:33 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 83*g - 800. Let b(z) = -71*z + 799. What is 7*b(t) + 6*v(t)?\nAnswer: t + 793","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218521*u + 109101*u + 109189*u.\nAnswer: -231*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 5*g**2 - 6*g**2 + (0 + g**2 + 0)*(-3 - 1 + 3))*(-4*g**2 - 4*g**2 - 5*g**2) in the form f*g**3 + v*g + k*g**4 + t*g**2 + c and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -435990*h - 2179949. Give l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 421 or -2837?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 33147*b - 894240.\nAnswer: -(b + 27)*(b + 33120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.307313 rounded to 0 dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -212654857*q**2*z + 4*q**2 - 1231*q - 10713 wrt z?\nAnswer: -212654857*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26821, -53593, -80377, -107179, -134005, -160861, -187753, -214687?\nAnswer: -241669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/4 (b) 5 (c) -2 (d) 0.3796 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eie when three letters picked without replacement from eeeeeeiei.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*t - 90, -5*t - 2 = k - 13. Calculate the remainder when 101 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.4 + 11. Let m = -0.98 + -0.02. Let w = y - m. Which is the second smallest value? (a) 2 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 - 9828*t**4 + 59080*t**3 - 78840*t**2 - 59076*t + 88668 = 0 for t.\nAnswer: -2463, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -13 + -7 + (-10 - -27) + -91\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u**2 + 235*u. Let g(b) = -6*b**2 - 115*b. Suppose 15*m = 9*m - 30. Let c(q) = m*g(q) - 3*a(q). Find the second derivative of c(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89d - 7e59?\nAnswer: -8807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 1:37 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -0.15. Let u = 4.9 - k. What is the third biggest value in -2, u, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14442 plus -8?\nAnswer: 14434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 14080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2950*k + 9647*k = 2951*k + 868140 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*q**3 + 150*q**2 - 54146*q?\nAnswer: -960*q + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172386174.\nAnswer: 2, 3, 3467, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*u - 62292, -37*x - 12486 = -38*x + 4*u. List the prime factors of x.\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 8*b**2 + 7*b + 12. Suppose 5*v = -f + 34, -6*v = f - 11*v + 16. What is r(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (9 - 7) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107281954, 107281965, 107281976?\nAnswer: 107281987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/7, 5, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241 - 163. Let r = -82 + i. Let h = -0.7 + 1.2. What is the nearest to 3 in -0.4, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/22 in -3, -20, -8\/39?\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 732.49 nanometers to meters.\nAnswer: 0.00000073249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 2013 = 1376*x + 261*x + 316*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 12*u**2 + u + 3. Let n be r(6). Suppose -h = -3*x + 5*x - 14, h - n = -x. Let t = 24 + -15. Put 3, t, h in increasing order.\nAnswer: 3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 27*w**2 + 45*w - 46. Let x(u) = u**3 + 12*u**2 - 23*u + 22. Let i(o) = -2*f(o) - 5*x(o). What is s in i(s) = 0?\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/5 + 123*i**2\/5 - 5043*i\/5 + 68921\/5 = 0. Calculate i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 11*t - 19. Let l be a(3). Suppose x - 5 + 1 = 0. Is x at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3\/10*a**5 - 225*a + 0 - 3\/20*a**6 + 1\/6*a**4 + 1\/12*a**7 + 0*a**3 + 0*a**2. What is x in r(x) = 0?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57464 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, -6, 2, -14, 0.1, 1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -10*b**4 + 19165*b**3 + 105710*b**2 = 0.\nAnswer: -11\/2, 0, 1922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*v + 1599 = 0, -l + 4*v = 4*l - 1617. Suppose -4*o + 63 = -l. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let o = -6822.4 + 6820.4. Let h = -1.2 + 0.2. Sort d, h, o, -3.\nAnswer: -3, o, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -42, -96, -172, -270, -390?\n\"Answer: -11*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254554081627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 191190 and 143?\nAnswer: 27340170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 94 = -217*z - 104 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69.6806 - -70.350722. Let o = -0.67 + x. Round o to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -7 - 29. Let p be m\/(-1)*(-2)\/(-8)*-10. Solve 3 = -4*s - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**5 - 3*q**3 + 3*q**3)*(-4 + 1 + 2)*(-15135 + 14435 + 7115).\nAnswer: -6415*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*t - 303, 4*t + 4*f = -0*f + 404. Let y be 1\/((-6)\/82*5\/(-15)). Let u = t - y. What is the greatest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - x + 7 - 5 - 2*x. Let h(a) be the third derivative of a**4\/12 - a**3\/6 + a**2. Suppose 12*d + 2 = 13*d. What is d*f(b) + 5*h(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, -232, -695, -1366, -2257?\n\"Answer: -2*r**3 - 86*r**2 + 5*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, p: 10}. What is prob of picking 1 s and 3 p?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853 - 2850 + 8256 = 261*n - 2920 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -116 + 31. Is b at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beaeeeaagaaj. What is prob of sequence abg?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Suppose -2*x + 13 + 19 = -2*h, q*x - 69 = 4*h. Is h not equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -871, -1743, -2621, -3505, -4395?\n\"Answer: -3*r**2 - 863*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 651, 2188, 5173, 10086, 17407?\n\"Answer: 80*f**3 + 4*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 13*a + 17. Let b be k(12). Suppose 26 = b*f + j, 4*j - 19 = -3*f - 0*j. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclcllll. What is prob of picking 2 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29139 (base 13) to base 14.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 4*d**2 - 4. Let n = 29 - -50. Let l(a) = 159*a**2 - 1 - 81*a**2 - n*a**2 + a**3. Calculate -h(u) + 4*l(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmj when four letters picked without replacement from mmjjjjmjjmmmm.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let r = -2 + n. Suppose r*u + u - 10 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -854 + 0?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**7\/3780 - f**6\/405 + f**5\/180 + 109*f**3\/6 - f**2 - 13. Let h(j) be the first derivative of m(j). Factor h(w).\nAnswer: 2*w*(w - 3)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -21. Let o = p - -7. Let f(a) = -a**2 - 8*a - 9. Let z be f(-6). Is o equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/39 - 3 - -32*(-25)\/(-30)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + 89. Let g = -76 + r. What is the remainder when (-4)\/(-6)*366\/4 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-774)\/(-16)*12\/30. Let q = -109\/5 + h. Calculate the common denominator of 69\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516 and 22?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 1980*x**3 - 2304198*x**2 - 599715276*x - 48528324549.\nAnswer: 3*(x - 1347)*(x + 229)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 91. What is the common denominator of (-6)\/(-4)*(-228)\/f and -1 + ((-49)\/(-6) - -1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5*i + 2*i)*(-55*i - 71*i + 9 + 112*i).\nAnswer: -56*i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 22571*l**3 - 10*l**2 + 7315859*l wrt l.\nAnswer: -12*l**2 + 135426*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153) + -1 - (sqrt(17)*-1 + 0)).\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (1 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 699 - -1213. Let g = v + -1894. Determine f, given that 72*f**4 + 4\/3 + 96*f**3 + 164\/3*f**2 + g*f**5 + 14*f = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31669396 divided by 2\nAnswer: -15834698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - t = -12, -4*o + 4*t - 875 = -851 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 16) to base 15\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1162.2*0.001\nAnswer: 1.1622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*d - 6*d**3 + 16*d)*(392*d**2 - 206*d**2 - 2 - 197*d**2 + 4*d).\nAnswer: 66*d**5 - 24*d**4 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r + 171 - 227 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3\/3 - 6*n + 20. Let v(d) be the first derivative of a(d). Let h(m) = -8*m. Give v(h(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 267617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87984 and 196?\nAnswer: 4311216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/1*1\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 2. Suppose -8 = -2*i + i. Let x = -4 + i. Let c(s) = -2*s - 3. Determine x*c(l) + 6*y(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 38*c**2 + 120*c + 104. Let x be h(41). Sort 2, x, 5 in descending order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.5, -5, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334*b + 831*b + 660*b + 8388 = 29*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 40*c + 7. Let w(q) = 17397*q - 208754. Calculate the remainder when o(5) is divided by w(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Solve -d + 6*d = q*r - 4, 4*d = r - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -595.247 - -595. Let z = r - 1.01. What is z rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbbvvbqyvvvv. Give prob of picking 2 b and 1 v.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*84\/792*(-16)\/(-56))\/(-1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47354207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.482 to one dp.\nAnswer: 110.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*-1*2\/6. Is 8 a factor of -14*(3 - x)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:33 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = 88*t - 301*t + 78 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -11. Suppose -s - 4*k = -4*s - 149, s + 53 = -2*k. Let b = -31 - s. Calculate the remainder when b is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 32 = 7*l, -520 + 534 = -2*l + 2*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:40 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 2*p**2 - 2*p + 2. Let d be f(2). Suppose d*w - 2*w = 64. Solve a - 5*a = -w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148814*v + 126557?\nAnswer: -148814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11579 + 29754. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 15 - v**2 + 11 + 19 as b + g*v + a*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 302021*o + 11476437\/2.\nAnswer: (o + 19)*(o + 604023)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 19 = 4*n - 4, k - 11 = -n. Suppose -z = 87 - 89, -5*z = -4*j + 286. What is the least common multiple of j and n?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296638340 by -3.\nAnswer: -296638340\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -20. Let j(u) = -u**2 + 4*u**2 - 7*u + u**3 + 9 + 3*u**2 + h. What is the smallest common multiple of 9 and j(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-17)*2\/(-8))\/(((-728)\/(-26))\/28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*h + 15 = -286*h + 375 - 18 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129636 and 1979172.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 642\/22 + (-4)\/22. Suppose 5*n - r = -4. What is the least common multiple of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206 - -3916\/19. What is the nearest to -15\/2 in 2\/9, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 10)*(5*s + s + 4*s)*(2 + 1 + 1).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -14*m - 10. Let h(d) = 14*d + 9. Let u(w) = -6*c(w) - 5*h(w). Let p be u(1). What is the greatest common factor of p and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -26*t**2 + 1867*t - 8. Let c(u) = -7*u**2 + 467*u - 2. Give 11*c(l) - 3*f(l).\nAnswer: l**2 - 464*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 354 - n**3 - 354.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 - q. Let s = 27 + -32. Let y(x) = x**3 - 1. Let w(k) = s*y(k) - 4*u(k). Determine w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/(i\/(i*i*i**(-1)))))\/i))**21 assuming i is positive.\nAnswer: i**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cscssssssss. What is prob of picking 2 s?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 12) in base 11?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 38*k + 66. Let z be (-23 + 41)*(-3 - (-5)\/2). Calculate c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -63. Let y(a) = 62*a**2 + 2*a - 1. What is the tens digit of y(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6395 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -37*f. Let p(m) be the first derivative of 41 + m**2 + 12 + 2*m**2 - 2*m**2. What is y(p(t))?\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1432\/7 - 205. Let w = 0.23 - -2.77. Which is the closest to d? (a) 5 (b) 3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206 - -179) + (-1 + 3 - (1 + 1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2464 divided by 1\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/291 (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 + -3. Let v = i - -7. Let w = 0 + 3. What is the nearest to 0 in v, -0.3, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156093028 divided by 14\nAnswer: -11149502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1454.3 + 717.7. What is r rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9654 * -27.\nAnswer: 260658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1273 - 9427253152.\nAnswer: -9427254425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -5\/3*k**6 + 0*k**4 - 22 + 0*k**3 + 0*k**5 + 0*k + 4*k**2. What is the second derivative of a(q) wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*l - 1. Suppose 0 = -l*y + 3*y - 216. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 5, -3, 30, -10.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or -972?\nAnswer: -972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -569865881 from -0.358596.\nAnswer: 569865880.641404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 15) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - w + 2 = 0, 2*g + 2*w + 3 - 1 = 0. Let m = 1739\/7 - 248. Are g and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 670605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*f*z**6 - 35*f*z**5 + f*z**2 - f*z - 71*z**2 - 1 wrt z.\nAnswer: 7080*f*z**3 - 2100*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 184, 199, 212, 223, 232, 239?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1\/2, -4\/7 in decreasing order.\nAnswer: -1\/2, -4\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2862, 2869, 2868, 2847, 2794, 2697, 2544?\nAnswer: 2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 138 - 372 = 0. Let f = s + -51. Suppose -3*h + 2*r = 2*h + 43, h - 5*r + f = 0. Which is the second smallest value? (a) 3 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmnm when four letters picked without replacement from mznmmzmmzzmzzzmn.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x**(-1)*x*x))\/x)**(-42))**16)**5)**5 assuming x is positive.\nAnswer: x**16800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**(26\/7))**(18\/5))**(-13\/6) assuming m is positive.\nAnswer: m**(1014\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.99806 + 0.00194. Which is the fourth smallest value? (a) 1\/4 (b) -0.3 (c) l (d) 2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.08 + -7.079169. What is d rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0837262 + -0.68?\nAnswer: -1.7637262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x + 4. Let n be v(7). What is the units digit of 4 + n*3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 172*m**2\/11 - 1088*m\/11 + 1472\/11.\nAnswer: 2*(m - 4)*(m - 2)*(m + 92)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 278823.0000042 - 278824. Let g = -1 - l. Round g to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 705.\nAnswer: 704.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -451.5425 - -451. Let k = -0.0775 + t. Round k to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -40\/9, -1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 324.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 + v**3\/2 - 3*v**2 - 2*v. Suppose -17 = -2*z + 7. What is the remainder when g(5) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 273, 275, 273?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2960.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10815 + 10836. Suppose -f = -5*y + 6, -6*f + 4*f - 5 = -3*y. What is the biggest value in l, 0.03, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 4\/(-7) + (1182848\/28 - 8 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2. Let z = -25 + 40. Let c(i) = i**2. Let j(d) = z*c(d) + 3*s(d). Give j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17 + 6*u**2 - 16*u**2 - u - 1 + 9*u**2. Let m be 2 - 0 - (-2 - 0). Suppose -5 = 5*t, -2*r + m*t = -1 - 3. Determine c(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrntpmlmr. Give prob of sequence nr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -740, -741, -742, -743, -744, -745?\n\"Answer: -h - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, 3767, 8654, 15517, 24356?\nAnswer: 35171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-308)\/(-66))\/((-5)\/(60\/(-8))). Let m(q) = 504*q - 6. Let o be m(4). Suppose o = h*y - 3163. What is y rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Suppose 12*p = -172 - 128. Let v = p - -20. Sort h, v, 1 in increasing order.\nAnswer: v, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 12*g**5 + 716*g**4 + 436*g**3 - 2172*g**2 - 2848*g - 944 = 0.\nAnswer: -59, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 341660*z + 8886540.\nAnswer: -5*(z - 26)*(z + 68358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9563 and 271487.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15940829 is divided by 3337.\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 18*w = 163, 91*t + 37 = 41*t + 51*t + 4*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1188340 (base 10) to base 4.\nAnswer: 10202013310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901146 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + l + 5*l)*(0 + 2 - 4) + 5*l - 2*l + 0*l - 18*l - 37*l + 7*l + 0 + l + 0 + (-2*l - 1 + 1)*(-2 + 3 - 3) as k*l + o and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = 4*c, 2*c + m + 2*m = 14. Suppose 4*l + 0 = c, -4*l = -3*y + 671. Let z = y - 130. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(2*(-3)\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87146.2528 - -87236. Let s = 0.0528 + u. Round s to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + a - 5*a + a**2. Let v be s(3). Solve -2*d + 2*z = -10, -2*d - z + v = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 10910.79 centuries?\nAnswer: 1091.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 28416.39 months?\nAnswer: 236.80325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -19*u - 11. Let x(k) = -3*k - 2. Let r(m) = -6*n(m) + 39*x(m). Let c be r(-5). Suppose 5*d + c*z = 147, -d + 5*z = -6*d + 145. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.1 - 5. Let h = 1227935\/283 + -4339. Let x = 584\/2547 + h. Put 2\/11, x, o in ascending order.\nAnswer: o, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - ((-17 - (2 + -2)) + -3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123 and 26821?\nAnswer: -3298983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 533664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38033 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 10. Let u(p) = p + 10. Let i(q) = -2*m(q) + 3*u(q). Let a be 4\/26 - (-567)\/117. Does 2 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:23 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 11*l + 333 - 364. Calculate the remainder when 37 is divided by w(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.39 minus -31168918.165?\nAnswer: 31168996.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*p**2 - 123*a**2 + 8*a*p**3 - 2*a*p + 6*p**3 - 30*p**2 + p + 10 wrt p.\nAnswer: -4*a**2 + 48*a*p + 36*p - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1738080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 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: Evaluate (((-1386)\/(-28))\/33)\/(6\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 23. Let a be 3 + (0 - (-1 - o)). Let p = -1 + 3. Sort 3, a, p in ascending order.\nAnswer: a, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 35 - 2*p**2 - 30 + p**2. Let v be b(10). Let l = v - -16. Solve -2*d - 9 = -l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806 (base 11) in base 10?\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10010111110111001 (base 2) to base 6\nAnswer: 1355545","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 2262 + -2498. What is the nearest to 1 in 0.1, -0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 139, 208, 335, 520, 763, 1064, 1423?\n\"Answer: 29*w**2 - 18*w + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2235850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 - 93*v**2 + 65*v - 66. Give t(-24).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3920222 or 3920221?\nAnswer: 3920221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2689165322 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 15*p**3 - 93*p**2 - 198*p + 648 = 0.\nAnswer: -3, 2, 36\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82212899 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -3. Let k(g) = -4*g - 14. Calculate the least common multiple of 20 and k(y).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 + 229. Let g be z\/(-21) + -4 + 12\/2. What is the second biggest value in g, 1, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18976260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m - 5 + 0 + 109*m**3 - 101*m**3 + 3 in the form o*m**3 + k*m + p + l*m**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 7. Let r be m(-15). Let i(w) = -w**3 + 15*w**2 - 20*w + 16. Let d be i(14). Let k = r - d. Solve 0 = -2*g - k*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131832.\nAnswer: 2, 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129540 divided by 129540?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.2 + -1.8. What is the nearest to 0.1 in 2, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7*76\/152.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 4)*(37 + 33*p - 37) to f*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 3*w**2 - 2*w + 9. Suppose 3*i + 3*j + 12 = 7*j, 0 = -5*i + j - 20. Let z be l(i). Suppose -3 = -g + z. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*i + 1, 0 = -2*g - i + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 604 - 397. Suppose 43*d = 40*d - m. Let g = d + 71. Solve 3*h - 2 - 3 = 5*c, g*c - 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 14. Sort m, -7, -1 in decreasing order.\nAnswer: -1, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2. Let w(x) = 2915*x. What is j(w(u))?\nAnswer: 42486125*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 277239.\nAnswer: -110895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**6*((c\/c**(-1\/5))\/c*c)\/c*c*(c**(2\/5))**(1\/2) assuming c is positive.\nAnswer: c**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 7 + 4)*(-4*q + 7 - 7) in the form n*q + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4 - 10 - p**2 - 10. Let m(d) = -d**2. What is m(s(k))?\nAnswer: -k**4 - 48*k**2 - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 317044.\nAnswer: 1\/79261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (7 - ((1 - -4) + 34 + -40)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 9, n: 7}. What is prob of sequence ooan?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-12))\/(17\/(-153)))\/(((-1881)\/(-132))\/(-19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 47*t**3 + 3*t**2 + 2*t - 1. Let j be c(-2). Let w be 11 - 3 - 1085\/155. Do j and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-7)*105\/90)\/((-65)\/(-468))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278588 and 122332?\nAnswer: 33151972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -962 + 960. Let q(m) = -5 + 1 - 1 - 5*m - 3*m**2 - 3*m**3 + 0*m**2. Let n be q(j). Solve 5*f + n = 4*c, -4*f + 2*f + 5*c = 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 678 = -2*f, 3*g + 84 = f + 1101. Solve 0 = -k - 346 + g for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m + 1. Let d(l) = -2*l**2 - 74*l - 6. Let i(p) = -d(p) - 6*t(p). Factor i(w).\nAnswer: -4*w*(w - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -18*a**2. Let f(d) = -100*d**2. Determine o(f(j)).\nAnswer: -180000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1132 and -4443048143.\nAnswer: -4443049275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24617 = -2442*i + 767*i - 2096 - 117337 for i.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1167725 by -5.\nAnswer: -233545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342935*h**2 - 94435*h wrt h.\nAnswer: -685870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -324.7 + 325. Which is the third biggest value? (a) 1 (b) 19 (c) -2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*f + 3*u = 1448*f + 9, -3*u = 2*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 33*z = -1037139. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 21*y - 111. What are the prime factors of u(-12)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c797 - -5?\nAnswer: 6c79c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34973\/3 (b) 13 (c) -4 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 5:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*v**2 - 367*v**2 + 186*v**2 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21924.77 millennia to months.\nAnswer: 263097240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5526912*m**2 - 28805*m - 2 = 0. Calculate m.\nAnswer: -2\/389, -1\/14208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -171\/1800913 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 0)\/((9\/(-504))\/(10\/(-880)*-11)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.64 - -1.63. Let h = 0.223 + -0.303. Is c at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.731 take away 157.955?\nAnswer: -171.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -86, -1\/2, 309, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -757 + 755. Sort -2\/11, 174, f in increasing order.\nAnswer: f, -2\/11, 174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 30. Suppose -3*i = -6, 3*w - 18 = w - 4*i. Sort s, w, 0 in ascending order.\nAnswer: 0, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 344434?\nAnswer: 3099906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12830, -51325, -115504, -205367?\n\"Answer: -12842*v**2 + 31*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:43 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -0*s - 3*s. Suppose -n + 20 = n. Let v = n - 8. What is the least common multiple of s and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c927 (base 15) to base 4\nAnswer: -1200322021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 474500738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20189227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/15*2*-5. Let d = 4 - v. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (7 - (-150)\/(-20))\/((-1)\/(-120)) - -12.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.4 + -1.6. Let g = u - -7.7. Which is the closest to 1? (a) -1 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263*w - 3 = -1208*w - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -19*t + 11350. Let m = t - 684. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 521581, 2086328, 4694239, 8345314?\n\"Answer: 521582*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 82425?\nAnswer: 82425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = -n. Let f(l) = -l - 17. Let t be f(n). Which is smaller: t or -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:22 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11251\/10 + 1113. Let q be (-3 - 0 - 0) + 70 + 3. What is the common denominator of (-2)\/(-4) + q\/(-15) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, w: 5, e: 2}. What is prob of sequence ew?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*m + 4 - 27*m - 2 + m - 2 + 2 + 35 + 6*m - 35 - 1 - m + 1 + (-4 + 1 + 1)*(2*m + 1 - 1) + 3*m + 0*m - 2*m - 2*m + 2*m + 2*m + 0*m - 4*m + 2*m.\nAnswer: 14*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 + 128*i**4\/5 - 44404*i**3\/5 - 44656*i**2\/5 + 44402*i\/5 + 44528\/5 = 0. What is i?\nAnswer: -184, -1, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19917 by -3.\nAnswer: 6639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/36 - (-784)\/441. Put 8, 7, 4, y in decreasing order.\nAnswer: 8, 7, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 213*p**2 + 3*p - 58. Let i(f) = -6*f. Calculate i(s(l)).\nAnswer: -1278*l**2 - 18*l + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:58 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -37*l - 1979. What is g(-24)?\nAnswer: -1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/350 - 4\/(120\/21).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(706\/(-92) - 264\/(-1518))?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*g - 8 = 6*g, -4 = t - 2*g. Put -8, 0, t in ascending order.\nAnswer: -8, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195582?\nAnswer: 2, 3, 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 51*p**2 + 7*p - 102*p**2 + 53*p**2 as j*p + a + h*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 32. Let b be p(-11). Solve 5*i + 3*s + 3 = 31, -b = -5*i + 4*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299238 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.2. Let y be (-2 + 36\/8)*(-4 + 2). Which is the third biggest value? (a) w (b) y (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*b = 149*b - 4*k + 35, -20 = -7*b + 3*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2075?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -9.1, 10, 0, -0.5, 0.2, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 1446 = 4*q + 1426, 40 = 3*q + 2*r for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*m + 24 = 2*x, 5*x = 3*m + 56. Suppose 2*v + 0*t - 5*t = x, -t - 24 = 4*v. Which is the fourth biggest value? (a) 1 (b) -0.2 (c) v (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 12*v**2 - 15*v - 7. Let s be k(-13). Solve -1 = -5*n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34192905096 - 0.666.\nAnswer: -34192905096.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 3*d**3 + 7*d**3 - 6*d**3 + 46*d - 656 + 0*d**3 + 164*d**2 = 0.\nAnswer: -2, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 127 = -4*g - 27, 4*j = 4*g - 80 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 869 - 11295\/13. What is the nearest to 0.26 in k, -2\/7, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 take away -1872?\nAnswer: 1871.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 4*d**2 + d. Suppose -6*v + 193 + 179 = 0. Let x = v + -58. Calculate p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/15726 or 1?\nAnswer: 11\/15726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*1 + sqrt(44)*1*4)\/(-4*(sqrt(36) - 2*sqrt(36))))**2 + 3.\nAnswer: 71\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 619\/7848?\nAnswer: 619\/7848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 1, x: 1, u: 1}. Give prob of picking 1 x and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83277*m**3 + 12*m**2 + 671*m - 1 wrt m.\nAnswer: 499662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 483769039397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + p - 7 = 0, 5*o - 4*p + 31 = 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x. Let b be 3*(-2 + (-2)\/(-3)). Let c = b + 7. List the prime factors of t(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10 - (-11)\/(-7)*322\/(-8855)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74391?\nAnswer: 3, 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 13*l + 10*l - 978*l**3.\nAnswer: -978*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2802843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 491582 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 82. Let m be (-27 - -29)\/(0 + g\/(-4)). Solve 2*j - 2*q + 4*q + m = 0, -2*j = -5*q + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/(-27) + 8 + ((-42)\/(-81))\/(-2)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18999 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j. Let b be (-9)\/(-2)*(-12)\/(-18). Let c be 0\/(-1) - 2*b\/(-6). Calculate p(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/391727 and -18\/55961.\nAnswer: 391727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 558 = -4*g - 157, 3*r - 5*g = 356. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13535225 (base 8) in base 9?\nAnswer: 5676760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 637.45.\nAnswer: 191.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6832675.\nAnswer: 5, 337, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-20) - 173006\/(-115).\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 = 88. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -30.461\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609150 and 11790.\nAnswer: 1827450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 - (-276)\/27. Let y(v) = v**3 - 9*v**2 - 7*v - 7. What are the prime factors of y(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -97 in descending order.\nAnswer: 3, 0.2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = -z. Let n = 213 - 71. Let m = z + n. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - -3. Let t = -14 + f. Round t to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 631*c**2 - 6*c + 5. Let g(n) = 631*n**2 - 6*n + 6. Let o(x) = -4*g(x) + 5*i(x). Find the second derivative of o(b) wrt b.\nAnswer: 1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzznznz. What is prob of sequence zz?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -20.5. Let o = -4.2 - -4.39. Let z = o - -3.81. Sort -3, z, k in increasing order.\nAnswer: -3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 81 = -21*l. Let d be -7 + (l\/6 - 2\/(-4)). Let k = -3\/67 + 203\/1541. What is the fourth smallest value in -0.2, d, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3654674 is divided by 152277?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1540000 = 7*v. What is v rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12810 - 17247 = -43*c. Suppose c + 705 = 3*h. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 1508, 2262?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -18. What is the second derivative of -6*m - 95*m**5 + 182*m**5 - r*m**5 wrt m?\nAnswer: 320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -377*o**2 + 1214*o + 3645. Calculate z(-3).\nAnswer: -3390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-28))\/((-132)\/462)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 + 0 + 15 - 5 to z + m*w**2 + k*w and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - -58. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(10528\/(-160) - -66)*(-3 - -58).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 7*b + 200 = 16*b. Calculate the lowest common multiple of b and 43.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*z + 27 = -576*z - 101 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/(-14))\/(8\/84*(-36)\/(-8)). Let f(b) = -4*b**2 - 2. Let w(i) = 31*i**2 + 17. Calculate k*w(o) + 51*f(o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32551950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1010220074 less than -1010220073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 4 - 2*1. Let b be 2\/(-4) - (-19)\/x. What are the prime factors of (-7)\/(-2) + 5\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*p + 44 - 17, -35 = -9*c - p. Solve -28 = k - 2*l - 20, l + c = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110101010 - 101100100101?\nAnswer: -1001011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -16, -25, -32, -37, -40, -41?\n\"Answer: s**2 - 14*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)**(1\/32))**(-10\/3)\/((((s*s*s**(2\/5))\/s)\/s)**(6\/5)*(s*s*s**1*s)**(-29)) assuming s is positive.\nAnswer: s**(2888\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2 = 70*v - 72*v, 3*v = -c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/20)\/(1\/(-15)). Suppose k = -3*p + 4*d - 4, -5*p - 5*d + 35 = 0. Let u(x) = p*x**3 + 2 + 2 + 4*x**2 - 4*x**3. Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1223?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*w**5 + 54*w**4 + 64*w**3 + 2*w**2 - 1186*w + 580 wrt w.\nAnswer: -4680*w**2 + 1296*w + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 662 + 1044 - 338)*(-263*n + 261*n + 4 + 0).\nAnswer: -2516*n + 5032","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.72441 + 6.7243. Let b = 3 - v. What is b rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-22)\/286*5*(-2)\/(-40)). Solve 122*h + l = 83*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 4*p + 111. Let w = 0 - p. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 8. Let z be c(7). Let l be (2 + z - -1)*10. Suppose -b - l = -6*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150351.539 and 3.\nAnswer: 451054.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/7*p**2 + 0 - 436\/7*p = 0. What is p?\nAnswer: 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.4752 to 1 decimal place.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*n - 7*k - 16933, -25392 = -3*n - 3*k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**0))\/k)**(-37)*k**(2\/13)*k*k\/(k\/(k*k**(-2\/19)*k)*k)*k assuming k is positive.\nAnswer: k**(9892\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 3*k**2 + k - 2*k - 1)*(1017*k - 128*k - 494*k + (1 - 3 + 3)*(k - 2 + 2)) as j + s*k**2 + w*k**3 + d*k and give s.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 76*c**3 + 38*c**2 + 14278*c wrt c.\nAnswer: 24*c**2 - 456*c + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 3525\/(-175))\/(2 - 13\/6)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 3 (b) -1 (c) 0 (d) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 7*u**2 - u. Let s(d) = 952*d**3 + 14*d**2 + 2*d + 1827. Let j(g) = s(g) + 2*w(g). What is the first derivative of j(c) wrt c?\nAnswer: 2850*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:03 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 0*p - 2*p + 26*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3 = -5*j + 2, 0 = 5*j + 5*y + 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {i: 5, z: 1, k: 4, b: 2, r: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 290, 586, 882, 1178, 1474?\n\"Answer: 296*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Let u = x - 4.8. Let h be (2 + 12\/(-15))*(-10)\/4. Sort -0.3, u, h in decreasing order.\nAnswer: u, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -1381*q**4\/8 + 718*q**3\/3 - 2294*q**2 + 2*q. Differentiate r(g) wrt g.\nAnswer: -4143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/220 and 77\/1500?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-53742)\/(-16) + -6 + (-8 - (-455)\/56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (24 + -16 + -13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 0*a - 12*a + 64.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose v - 16 = -t*m, 8*v + m - 52 = 3*v. Is -1*(-6)\/(-3) + v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11078, -142, 3, 0 in increasing order.\nAnswer: -11078, -142, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-15) - -4) + (-64)\/16.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 2\/47, 0.02, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 1144658?\nAnswer: -24\/572329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*3\/9*1. Suppose -3*d - 10 = -g*q, -5*d - 2*q + 15 = q. What is the remainder when 11 is divided by (d\/(-3))\/2 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -117, -189, -275, -381?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3206576 and 13232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1. Let k = -3702 + 3716. Let h(m) = m - 9. Determine k*j(i) + 2*h(i).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68.68 + -1.68. Let i = -66.99914 + j. Round i to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) - (-38)\/14. Suppose -u*t + 6 = -147. What is the tens digit of (t\/12)\/((-1)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 429, 1046, 1863, 2886, 4121?\n\"Answer: o**3 + 94*o**2 + 328*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/5 + 4083086*p\/5 - 28581504\/5 = 0. Calculate p.\nAnswer: 7, 2041536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + -2.07. Which is the second smallest value? (a) 0.07 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465533 (base 9) to base 5\nAnswer: -32422032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let t = 1.25 + -3.34. Let k = t - -0.09. Which is the closest to 0.1? (a) 5 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) + (-15)\/(-9). Suppose 20 = 4*f + m*l, -24 = -3*f + 3*l - 0*l. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141.851 + -142. Let s = 8.259 + d. Let v = s + -0.11. Sort v, -1, -3 in ascending order.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7462081 + -582.9920919. Let p = j - -584.4482994. Let z = p - 0.71. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 161, 323, 485?\n\"Answer: 162*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3 + 1. Let s be (15\/6 + -2)*l. Let v(f) = -4 + 0 - s*f**2 + 4. Let d(w) = -w**2. Determine d(v(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4084226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1)\/30*40\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1597*s - 3552*s - 3453*s - 1815*s)*(2 - 2*s**2 - 2).\nAnswer: 14446*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2095504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 51*u**2 - 21*u + 16. Calculate the remainder when 197 is divided by h(25).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 781 + 769 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:49 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -11164 - 32279. Is 46 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 172?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h - 210 = -20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -939?\nAnswer: -939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 - 4*s**2 - 4*s + 7. Let f(y) be the first derivative of 5*y**4\/2 + 3*y**3 + 9*y**2\/2 - 15*y - 4. Let q(c) = -6*f(c) - 13*h(c). Give q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -146, -270, -392, -512, -630, -746?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -15*v + 7. Let y(i) = -i**3 + 13*i - 7. Let j be y(-4). Let p(f) = 17*f + 3*f - 5*f - j*f - 5. What is -5*h(d) - 7*p(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/252)\/(4\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 40*b - 1. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/(-792) - (3 - 162\/66)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + -0.06. What is the closest to 1 in v, -1\/8, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-4616)\/(-15960) - (-2)\/(-7)) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 7:15 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Let n = -12.3 - -13.3. What is the second smallest value in n, 1\/7, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/2)\/((714\/12)\/7)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136971 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 531\/(-21) - (-4)\/14. Let h = j + 29. Solve s + 5 = 2*g, 4*s + 14 = h*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/30409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 - 647 - 54*d + 647 to the form n*d + v*d**2 + x and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18486 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6064842 and 70329?\nAnswer: 103102314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 848232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -81?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.057 + 0.643. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -98, -158\/5, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 18*q**3 + 7*q**2 + 22*q + 1. Let r(j) = -9*j**3 - 4*j**2 - 12*j. Determine 4*i(u) + 7*r(u).\nAnswer: 9*u**3 + 4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q + 1. Let k(g) = -2*g**2. What is y(k(n))?\nAnswer: 24*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) - 28\/5. Find the common denominator of (c*(-2)\/56)\/(-1) and -73\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.86190714 - -310377\nAnswer: 310376.13809286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-25)))\/(r**(-3\/8)\/r))\/(r**(-2\/39)\/r*(r\/(r\/((r\/(r**(-8)*r)*r)\/r)))\/r) assuming r is positive.\nAnswer: r**(-9227\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z - 41*z - 224*z = 5985 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*a + 2 = 6, a - 60 = -4*s. Solve 7 = 2*t - 4*z - 1, -4*z = s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00288 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14074.75mg to tonnes.\nAnswer: 0.00001407475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -2*k + 4*j - 98, -4*k + 0*j - 4*j - 8 - 132 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((-2)\/(-4)). Suppose -b + w + 2 = -i*w, -5 = 4*b - 3*w. Let m be 1 + (-4)\/(4\/b). Solve -5*j + 2 + m = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2415021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14018 is divided by 649?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9. Let p(i) = -48*i - 37. Give -6*o(u) - p(u).\nAnswer: 48*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0186 and 102.65.\nAnswer: 1.90929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 5. Let y(l) = l**3 + 7*l**2 + 4*l - 4. Let x be y(-4). Let p be b*38*x\/(-8). What is the highest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -173393365.\nAnswer: 1\/34678673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = -5*i + 19, 3*i - h = 13. Suppose 0 = -i*q - 0*q. Suppose 4*k + q - 20 = 0. Which is the second biggest value? (a) -4 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3639391 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from jjujjjjujjjjujjd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135496 or 135492?\nAnswer: 135492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.67 and -146.\nAnswer: -168.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2402208*p = -2403105*p + 60099 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*g**3 - 232*g**3 - 179*g**3 + 764*g**3 - 232*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197.2 - -179. Let t = 16.2 + m. What is the second smallest value in 46, 5, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2055, 4106, 6155, 8202, 10247, 12290, 14331?\nAnswer: 16370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a60 - 10?\nAnswer: -a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*8*(-62)\/186\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -16983.\nAnswer: 1\/5661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -60. Is (839 + (w - -4))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -0.5 (c) -0.7 (d) 3 (e) -6.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 1976*w**3 - 2*w - 1981*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0 - 1\/2*b**2 - 43\/6*b**3 + b. Is 21 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 21. What is the highest common factor of t and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-6)\/(-9) - -4. Let o(w) = -w**3 + 2*w**2 + 3*w + 4. Let l be o(3). Suppose l*p - 5*p = -2. Which is the closest to -1? (a) 2\/7 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/6*1 - (-5)\/(-15). Which is the nearest to 0.3? (a) 3 (b) 1\/10 (c) r (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(-8 + 8))\/(0 + -2). Let w be (1\/2)\/(7\/(-2)) - i. Which is the closest to 2? (a) 1.58 (b) -0.5 (c) -4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s*s*s**(5\/4)*s)\/s))\/(s*(s**(-35)\/s)\/s)*(s**16)**(8\/5))**(-2\/107) assuming s is positive.\nAnswer: s**(-1147\/1070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(637) + sqrt(637) + 2 + sqrt(637))**2.\nAnswer: 252*sqrt(13) + 5769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and (-12)\/96*(-162)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 - 18*k**4 - 50*k**3 - 30*k**2 + 52*k + 48 = 0 for k.\nAnswer: -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -221100102 (base 3) to base 5\nAnswer: -1042404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 29767452*i - 775338548750766.\nAnswer: -2*(i + 52093041)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760, 243, -612, -1799, -3312, -5145, -7292?\nAnswer: -9747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from bzzszbzbsssbzii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 10*q + 36. Let n be s(7). Let f = 118 - n. Suppose -d - 4 + f = 0. Put -8, d, 0 in descending order.\nAnswer: d, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65 + -66 - ((-4)\/10 + 9\/(-15)). Let d(l) be the second derivative of f + 0*l**2 - 11*l + 1\/6*l**4 + 0*l**3. Let k(y) = 5*y**2. What is d(k(i))?\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**6\/24 + 7*h**5\/60 - 4*h**2 + 4. Let o(y) be the second derivative of f(y). Find the third derivative of o(x) wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9525.02853 rounded to the nearest ten?\nAnswer: 9530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 75. What are the prime factors of 3*((-80)\/(-15) + a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 14. Let g be p(-5). Suppose -g*u + 1669 = -1447. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 2 (b) 462 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29819*w = -182854 + 4625885 for w.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 28*w - 29*w. Let y = w - 51. Suppose 515 = y*k - 406. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -1\/4, -4, 0.2, 0.4, 0.614?\nAnswer: 0.614","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -145*s**8\/168 - s**6\/120 + 47*s**5\/10 - s**4\/24 - 17*s**2 - 11*s. What is the third derivative of w(n) wrt n?\nAnswer: -17400*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21523 or -21526?\nAnswer: -21526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/660*l**6 + 0*l**4 - 1\/1848*l**8 + 7*l**2 + 1\/385*l**7 + 0*l + 0*l**3 + 0 - 1\/110*l**5. Find m such that z(m) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4520 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(y**2 - y**2 - 3*y**2) + 3*y**2 + 6*y**2 + 4*y**2 + y**2 + 0*y**2 - 2*y**2 + (-1 + 1 - 2*y)*(1 - 2*y - 1).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + j = -13 - 6, 0 = -4*k + 4*j - 44. Let h = 37 + -17. Let t = h + k. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Let r(b) be the third derivative of b**4\/8 - 20*b**2. What is r(x(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - 7. Let m = 0 - s. Let d(b) = -b + 5. Calculate the remainder when m is divided by d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39827511.\nAnswer: 3, 191, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -15. Let z be 4\/(-18) + (-1721)\/s. Let g = z - 112. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 506 or 0.0592096?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 9. Let g be r(-5). Suppose 0 = g*m + 2*m - 8064. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 3*f - 3. Let q(t) = 5*t**2 - 4*t + 4. Let b(o) = 2*o**3 + 21*o**2 + 7*o - 33. Let x be b(-10). Give x*q(j) - 4*p(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*x + 19 + 263. Put -8, x, -2 in descending order.\nAnswer: -2, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*g - 51 = 0, -3*v - 5*g = -g + 113. Let n = 72 + v. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12242157, 48968613, 110179371, 195874431, 306053793, 440717457, 599865423?\nAnswer: 783497691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 - 118. Which is the closest to -2\/3? (a) v (b) -0.77 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 49*y - 42*y)*(-5 + 1 + 3).\nAnswer: -7*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/141)\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x - 38*x + 47*x - 35*x - 25*x**2 in the form j + z*x + m*x**2 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -4 + sqrt(448) + sqrt(448)*-4 + 3)*6.\nAnswer: -432*sqrt(7) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -11, -19, -31, -47?\n\"Answer: -2*g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m - 4*m - m. Let s(x) be the first derivative of 36 + 0*x - 7\/3*x**3 + 0*x**2. Give z(s(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1300) - sqrt(1300)*1) - (5 + (1*sqrt(832) - sqrt(832))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -3\/2*d**2 + 2 + 0*d**4 + 0*d**3 + 9*d + 1\/20*d**5. Let u be (2 + -1 - -1) + -2. Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1217 and 36?\nAnswer: 43812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8285122 (base 9) to base 8\nAnswer: -20704204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 2\/9, -94, 24, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7*k = 5*t + 25, 5*k = -t - 28. What is the closest to -2\/13 in -0.3, 24, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/120 + v**4\/24 + v**2. Is 5 a factor of l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r + h - 80 = 0, -41 = 3*r - 2*h. Let m = -6 - r. Let s(i) = i**2 + 5*i - 9. Calculate the remainder when s(-10) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53883?\nAnswer: 3, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/58 and -3\/958.\nAnswer: 27782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1499 + k - 1499.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-30))\/((-6)\/(-30))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*x - 4984, 4*q + 4*x + 1234 = 5*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q + 27*q - 30*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14980 and 91566320.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 49*i**2 + 144*i - 72. Let l be t(46). Let w be 1\/(6 + l\/(-36)). Factor w*q**3 + 1\/2*q**4 + 8 + 1\/2*q**2 - 12*q.\nAnswer: (q - 1)**2*(q + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 75 = 35. Let a(d) = d**2 + 14. Let k(l) = 4. Let c(n) = a(n) - 3*k(n). Let g(x) = 6*x**2 + 11. Determine s*c(m) + 4*g(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9290929, 9290930, 9290931, 9290932?\n\"Answer: s + 9290928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3338 + 164*a**3 - 1239 + 4*a + 443 - 113*a**3 wrt a?\nAnswer: 153*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 - 33*o**2 + 3. Let j be w(11). Solve j*x = -23 + 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/15 + 4*z**3\/3 - 256*z**2. Let b(k) = -2. Give -8*b(o) - 2*v(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26*(9\/(-24))\/(27\/12 + -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)\/t)\/t*(t*t**4*t)\/t assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + 1 - 3 + 1 + 1 + 0 - 2 - 4 + 1 + 1 + (-2 + 1 + 3)*(2 - 4 + 1) + 1 + 1 + 0)*(-4*g + g + 5*g + (-1 + 3 - 4)*(2*g + 2 - 2)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*g + 122*g = 5*g + 836. Suppose 2*t - 4*y = 64, 33 = 5*t + 3*y - 75. Solve -g*h - 2*h = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16310 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 5\/3*r**4 + 196*r**2 + 11\/6*r**5 + 1\/14*r**7 + 0*r**3 + 17\/24*r**6 + 0*r + 0. Factor b(u).\nAnswer: 5*u*(u + 1)*(u + 4)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 128*p**3 + 3 - 79*p**3 - 66*p**3 - 2*p**2 in the form i + l*p + o*p**2 + u*p**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**3 - 2*c**3 - c**3 + (0 - c + 0)*(c**2 + 3*c**2 - 3*c**2) - 3*c**3 + 3*c**3 + c**3 in the form q*c + z*c**3 + w + f*c**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*((4*sqrt(891) - sqrt(891)) + -3 + 5 + 0)**2*-5.\nAnswer: -80225 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4287431892 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51477 rounded to the nearest one thousand?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -35\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by (-125)\/4*8\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 12*l**2 + 4*l + 49. What is k(-11)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14881, 14875, 14857, 14821, 14761, 14671?\n\"Answer: -o**3 + o + 14881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7593 - 7636 = 43*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*q = 4, -c + 8 = c - 5*q. Suppose 5*h = -n + 23, -24 = -2*n - c*h + 4. Suppose 0 = -3*u + u + n. Solve -2 = u*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and 457?\nAnswer: -24678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*((-12)\/9)\/4*24735\/(-582)?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8226 (base 13) in base 7?\nAnswer: 103215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648477?\nAnswer: 13, 41, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(39\/104) - -2. Which is the nearest to -0.3? (a) 1\/6 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000512 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.99 - -0.01. Let w(s) = -s**3 - 5*s**2 - 3*s + 1. Let r be w(-4). Sort r, p, 1 in increasing order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwpwpuyprpupe. What is prob of sequence pu?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 21 - 17 - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2472 or 2465?\nAnswer: 2465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-6\/35)*m**(-2\/9)\/m**4 assuming m is positive.\nAnswer: m**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1155\/6*(-8 - 120\/(-10)). Let y = 1359 - u. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*j + 83, 2*j + 427 = 4*d + d. Suppose 13 = 2*x + 9. Suppose -4*l = -b - 68 - d, 5*l = -x*b + 175. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 4\/4*0 + 6. Let n = 0 - -5. Solve -n*k = -z - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/30? (a) -3 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, x: 9}. Give prob of picking 3 x and 1 c.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w - 10 + 3)*(-7 - 6 + 92).\nAnswer: -158*w - 553","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 165043 divided by 33\nAnswer: 165043\/33","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5785622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0 (c) -56 (d) 1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:25 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4908 - 0.0488. Let m = -0.042 + v. What is the second biggest value in -0.3, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 4. What is the second derivative of -10*g + 23*g - 7*g + 7*g**m wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 + 2*v + 8. Let g be u(8). Let p = g - -185. Suppose t + 2*t - p = -3*a, -2*t - 170 = -5*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27 + (0 + 1)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*f = -255564, l + 70*f - 63895 = 65*f. Round l to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*c - 48 = 146, -5*c = l - 52. Suppose -3*x + l = -386. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2 + 2*b - 2 + 1\/6*b**3. Let l(n) be the first derivative of u(n). What is l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, 3, -1\/6, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-230)\/(-138))\/(2\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (39 - 11 - 14) - 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -24574.\nAnswer: 3\/12287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 23 = -g, -b - 36 = -4*g + b. Suppose 0 = r + l - 5*l - 21, -4*l = r + g. Let u = 9 - r. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -29016.\nAnswer: 46425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*m**2 - 141\/5*m + 0.\nAnswer: -3*m*(m + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67532233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:41 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109268 by 27317.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4695 in ascending order.\nAnswer: -3, -2, 4695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2*w - w)*(w**2 - 6*w**2 - 15*w**2).\nAnswer: -20*w**3 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u - u**3 + 0*u**2 + 1\/2*u**4 - 1\/2.\nAnswer: (u - 1)**3*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 88*s - 3*s**2 - 2*s**4 + 91*s + 3*s**2 in the form j*s**4 + q + f*s**3 + k*s + g*s**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by 140\nAnswer: -117\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2\/6)\/((-1)\/18). Solve -u*b + 9 = 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:48 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by -2418.\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.09 + 6. Let c = 0.07 + h. Let n = -6.18 + c. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 2*t**2 + 3*t + 3. Let l be u(3). Let g(s) = -s**2 + 6 - 2 - 7*s - 5 + l*s. Calculate the least common multiple of g(-3) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.84 - 0.16. Let g = r - -12.9. Suppose 3 = -2*x - 3. Are x and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**3 + 17*h**2 - 7*h - 10. Let l be z(-2). Suppose 0 - 10 = -y. Is l at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 17, u: 2}. Give prob of sequence tu.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3274 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7140 + 7174.095. Let o = x + -34. Round o to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:58 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16896)\/72)\/(-16)*(-75)\/20.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 + -173. Suppose -2*y + 85 = 3*i, -4*y + 122 = -j*i - 3. Calculate the greatest common factor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*a - 6 = 0, 1 = -5*h + 5*a - 14. Let i(n) = n**2 + 2*n - 5. Let g be i(h). What is the greatest common divisor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4678 is divided by ((-5)\/((-8)\/((-1736)\/(-35))))\/1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 13 + (-60 - -54) - -105.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*s**2 - 29270 + 14636 + 14632 + 101*s in the form c*s**2 + m + i*s and give i.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 880506 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 3*l**2 - 3*l**2 - 2*l**2 as m*l**2 + r*l + w and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 11*(-1)\/(-2). Factor k*d**3 - 2*d - 2*d**2 + 0 + 1\/2*d**4.\nAnswer: d*(d - 2)*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) -1\/7 (c) -4 (d) 0.00895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-16))\/((-77)\/(-924)))\/(-12*4\/(-3328))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - p = -0*u - 19, 5*p = u + 11. Put u, 7, -2, -3 in decreasing order.\nAnswer: 7, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 + 1576*i**2 - 141110*i - 288508 = 0. What is i?\nAnswer: -869, -2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -18. Let a be (18\/v)\/((-1)\/2). Let d = a - -7. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**3 - 2*z**2 + 130*z + 474. Determine p(-4).\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 2, -1, -4 in decreasing order.\nAnswer: 5, 2, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-112))\/(-1 + 16\/14). Sort p, 137, 5.\nAnswer: p, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 312, 0.4, -1, -7.\nAnswer: -7, -5, -1, 0.4, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.6, -5\/2 in ascending order.\nAnswer: -5\/2, 1\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.292337 centuries to months.\nAnswer: 2750.8044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 32. Let d(z) = 3*z**2 - 13*z + 12. Let c be 1*(7 - 2)\/1. Calculate the least common multiple of g and d(c).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.078 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**3 - 2*f**3 + 0*f**3)*(-12*f + 4*f - 17*f) to p*f**4 + w + c*f**2 + h*f**3 + b*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 2*g**2 + 3*g**2)*(0*g - 2*g - g) + 112*g - 112*g - 8*g**3 in the form h*g**3 + r + p*g + t*g**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22257633, 3 in decreasing order.\nAnswer: 22257633, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-37 - 0) + (37 + -183 - -153)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 20. Suppose 2*q + d = -4*d - 5, 0 = -2*q + k*d + 5. Suppose 23*i - 24*i + 29 = q. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 140. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -291.5406395 + 0.5255395. Let w = 0.372 + -291.372. Let h = w - u. Round h to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29024.71 grams?\nAnswer: 29024710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334 + 479 - 149 - 155*m to the form b*m + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2578126101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:41 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102383 by 5.\nAnswer: -102383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.57 + 5.728. Let u = -0.358 + m. Which is the nearest to u? (a) -7 (b) 1\/5 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2 - 4*n + 69. Calculate j(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u - 2. Calculate g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21998517 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -145241.\nAnswer: -3\/145241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b - 24*b + 10 = 32*b, -b = -u - 5*b + 12 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -28*s + 3. Suppose c - 4*c = 9, -20 = -4*v + 4*c. Determine q(v).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6501*n + 135142 = 783*n + 739714 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*v - 827 = -832, -3*c = v - 15. Solve c*m = -2*w + 13, -21 = -32*m + 27*m - 4*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5832 and 5892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 432, 811, 1124, 1371, 1552?\n\"Answer: -33*w**2 + 478*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + ((sqrt(432) + 2 + sqrt(432))**2 - sqrt(3)) - (3*sqrt(3) + -5).\nAnswer: 93*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725182473.\nAnswer: 3, 1241727491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 + 6*s + 2. Let j = 92 - 129. Let w = 57 + j. What is the remainder when w is divided by i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-12)\/10) + (-132)\/585. Let c be -2 + -3*(-16)\/13. Let n = a + c. What is the nearest to -0.1 in -2, 1\/5, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 196*s**2 - 85*s**2 - 123*s**2. Let v(h) be the second derivative of h**4\/12 - 2*h. Calculate v(q(l)).\nAnswer: 144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(7470\/1320)\/83?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1324 - -3.4744. Let j = b - 0.012. Let o = 4 - j. Round o to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20931*k + 1295 = -20968*k for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**9\/45360 + z**8\/20160 - z**7\/7560 - z**6\/2160 - z**4\/8 - 10*z**2. Let q(y) be the second derivative of u(y). Factor q(o).\nAnswer: o*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2355791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/3))*u)**(-11\/7)\/((u*u**(2\/13))\/u**(-6))*(u*u**(-4\/3))\/((u\/u**5)\/u)*((u*u**(2\/7))\/u)**(-11\/7) assuming u is positive.\nAnswer: u**(-10616\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4 + 8*f**3\/3 + 2*f**2 + 4. Factor t(l).\nAnswer: 4*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 642*c**2 + 85614*c + 317. What is z(189)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1822 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 61 + 11. Put -3, y, -41, -4 in decreasing order.\nAnswer: -3, -4, y, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8197696?\nAnswer: 2, 13, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 7 - 28 = 0. What is the fourth smallest value in s, -45, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20504 and -5.\nAnswer: -20509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ereio. Give prob of picking 2 e and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2626*j**3 + 21*j**2 + 2*j + 16. Let v(i) = -7876*i**3 + 63*i**2 + 6*i + 43. Let a(n) = 8*u(n) - 3*v(n). What is the third derivative of a(r) wrt r?\nAnswer: 15720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157333207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 799383707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - 8. Let j be (o\/(-5))\/(1\/(-5)). Let a be -7599999 - (0 + j\/3). Round a to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1151, 1152, 1155, 1160, 1167, 1176?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8709 * -1.6.\nAnswer: 13934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 913600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -670*f**2*n - 17*f**2 - 10*f wrt n.\nAnswer: -670*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/56872324 and -37\/577384?\nAnswer: 113744648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68820963 and 2319?\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1500 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4 in descending order.\nAnswer: 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 11506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*f = -24, -3*o + f + 28 = -3*f. Suppose 5*d - 2 = 3*c, 2*d = -o*c + 6*d. Solve 0 + c = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(-2*h - 3 + 3)*(119 - 79 - 76) to k*h + t and give k.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/78727061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131523?\nAnswer: 31, 165533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19037\/14280 - 1\/4760. Which is the third biggest value? (a) -1912 (b) 0 (c) -1 (d) 1 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10587811 to the power of 1\/2, to the nearest integer?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2548\/5 - 508. Is y less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 328742471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*m + 2*a, -a + 21 + 19 = 3*m. Let u be m\/(-36) - (-26)\/(-3). What is the units digit of 6\/u - 152\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -358\nAnswer: -7.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.25, 0.5, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - 1) - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -169. Let m = 109.5 - p. What is the second smallest value in -2\/31, -2\/11, m?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 55, 54, 53, 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (-5*2*sqrt(448))**2)*-6 + 4*(-1*sqrt(14)*1)\/(sqrt(8)*-5).\nAnswer: -268800 - 238*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 60.09909 nanograms?\nAnswer: 0.00000000006009909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + -7 + 30 + -12 + -19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, n: 5}. What is prob of sequence uuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 8. What is q(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -4, -2802, -3, 4 in decreasing order.\nAnswer: 4, 3, -3, -4, -15, -2802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213aa (base 12) to base 5.\nAnswer: 2400022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + 1 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-584)\/22 - (13 - 596\/44). Let q(i) = -i**3 - 24*i**2 + 33*i + 171. Does 58 divide q(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(20))*-3)**2 + -3 + -3.\nAnswer: 4494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 217\/28 - 20\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1. Let x be 1 + (-18)\/21 - u. Let r = -807.8 - -808. Which is the second biggest value? (a) 0.1 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 287 - 260. Let w(v) = 3*v**2 - 1. Let m be w(1). Solve -x = m*u - 0*u - 3, -r = 4*x - 5*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 28 - 141*j**2 in the form b*j**2 + a + m*j and give b.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 170447639*f**4 + 77243850?\nAnswer: 681790556*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = 3*b. Let i(y) = -y**2 + 1. Let f(k) = -5*k**2 + 12*k + 21. Let t(n) = b*f(n) + 6*i(n). Determine t(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m - 3*h - 0*h, 40 = 5*m + 5*h. Suppose 4*l - 8 = m. Solve l*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 16, -4*i - 3*c = -3*i + 10. Find the third derivative of -26 + 14 + 7*r**3 + 7*r**i + 12 wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let b(m) = -k*m + 18 - 18. Let l(v) = -v. Let w(n) = -n. Let c be w(3). Give c*b(j) + 4*l(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23 = -5*c, c - 8*a + 1 = -9*a. Suppose 0 = -17*h - 37 - 286. Put c, -5, 4, h in decreasing order.\nAnswer: 4, c, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 5, 4 in descending order.\nAnswer: 12, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/10)\/h*h**(-19))\/(h**3\/((h**19*h*h)\/h)) assuming h is positive.\nAnswer: h**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1. Let g(f) = -f + 1. Let l(w) = 2*g(w) + 3*s(w). Let v = 2 - -2. Suppose -4*o - 13 = p + 3, v*p + 12 = -3*o. What is l(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {b: 6, m: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 212, 214, 216, 218, 220?\n\"Answer: 2*h + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3 + 3)*(-2*t**2 - 2*t**2 + 3*t**2)*(-5 - 4 + 0).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73433156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**4 + j**2 - j. Suppose -5*x + 5 = -0*x. Let u(h) = -3*h**4 - 4*h**2 + h. Let c(a) = x*u(a) + o(a). Find the third derivative of c(v) wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41631*b**2 + 5658 - 173*b + 3477 - 4*b**4 - 41632*b**2 wrt b?\nAnswer: -16*b**3 - 2*b - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*j + 1 = -6, -6 = -2*u - 2*j. Let z be 0\/3 + 0 + -2. Is 2 a factor of (u + 5 - 0) + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.55288ml to litres.\nAnswer: 0.06955288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 62. Find the common denominator of 2 + 198\/(-28) - -1 and j\/(-5)*(-5)\/(-22).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -54*n**2. Let z(v) = -6*v**2. Give u(z(r)).\nAnswer: -1944*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200409284, 200409285, 200409286, 200409287, 200409288?\nAnswer: 200409289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13587*p**2 + 36*p - 130 wrt p.\nAnswer: -27174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 330 = -s. What is the highest common factor of 165 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 0.080058. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9412 and 4617672.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 638487 divided by 333\nAnswer: 70943\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532.502916 rounded to one dp?\nAnswer: 1532.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1023 - 1005. Calculate the remainder when n is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130315 and 208504.\nAnswer: 1042520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 631*t**2\/2 + 10. Is o(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j - 7. Let i(m) = 23*m - 20. Let o(a) = -6*i(a) + 17*r(a). Let p = 11 + -8. Suppose -5*v - 4 = -3*q, v = p*q - 8*q + 16. What is o(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*3)\/(3415\/683)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 at least as big as 1699\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.86, -30, -0.5, 0.04, -1?\nAnswer: -2.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091882365.\nAnswer: 5, 418376473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*l - 32\/3 - 2\/3*l**4 - 4*l**3 - 2\/3*l**2.\nAnswer: -2*(l - 1)**2*(l + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01339 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1416387 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qcqq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006212684 to six decimal places.\nAnswer: -0.000621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 9*t + 8965*t**2 + 8968*t**2 - 26276*t**2 + 9109*t**2.\nAnswer: 766*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2 - 2)*(-o - 5 + 5)*(2*o**3 - 3*o**3 + 0*o**3 + (-o + 0 + 0)*(-2*o**2 + 2 - 2)).\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3402464 rounded to three decimal places?\nAnswer: -11.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 5*s**2 + 5*s + 18. Let q be -3 + (1 - 10)\/(-1). Let b be n(q). What is the highest common divisor of 30 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5390907701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(27)\/sqrt(36) + -3*sqrt(75).\nAnswer: -29*sqrt(3)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -4, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1092 + -1084. What is the fourth biggest value in m, 0, 5, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 0*m**2 + m**2 + (1 - 3 + 0)*(-1 - 2*m**2 + 1) + (11 - 11 + 3*m)*(-3*m + 3*m - 3*m - 13*m)*(14 + 64 - 11).\nAnswer: -3214*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let m be h(-1). Suppose 4*f + 2*d - 14 = 0, 5*f - m*d = -3*d + 16. Is ((-191)\/f)\/((-6)\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*v = 3*v + 5, -5*b - 4*v = 4. Suppose 4*a - 51 = a. Suppose -5*y = l + 6, 5*l - 25 = -y + a. Which is greater: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 - 18*w + 2. Let y(b) = -2*b**2 + 17*b - 1. Give -4*j(t) - 5*y(t).\nAnswer: -2*t**2 - 13*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8)*32\/(-48)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 12.17273.\nAnswer: 0.4869092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -56. Let l = v - 8. What is the remainder when -1*3*((-23)\/3 - 2) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 922473 and 1776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 5. Let f be x(4). Let a = 9.7 - 14.6. Let k = a + 5. Put f, -5, k in ascending order.\nAnswer: -5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*r + 8. Suppose r*p + 4*i = 176, -2*p - 3*p + 220 = -5*i. Calculate the highest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1499*o**2 - 1499*o**2 + 40*o**5 + (6*o**2 - 2*o**2 - o**2)*(-o**3 + 3*o**3 - 4*o**3).\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. Solve v*z - 10 = -2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5600)\/(-21)*(-1125)\/(-12). Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g = 23*g + 6. Solve 0*w = -w - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(525\/168)\/25*15.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 3, 2934.42, -2\/13 in descending order.\nAnswer: 2934.42, 3, 1\/8, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456.24 + -477. Let d = p + -0.24. Let h = d + 20.9999965. What is h rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:51 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let l = -562 + 566. Let h(o) be the third derivative of 14*o**2 + 4\/15*o**5 + 0*o**l + 0*o**3 + 0*o + 0. What is h(q(y))?\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(11) + -2) - (sqrt(11) - -2*sqrt(275))).\nAnswer: -8*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19027881*m**2 - 6936*m + 500 wrt m?\nAnswer: -38055762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554\/(-98) - (-9 + -8).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/19)\/l*l**17*l**(13\/2)\/l*l**(-25))**(-48) assuming l is positive.\nAnswer: l**(3000\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6755\nAnswer: -1\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19443 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2. Let h(n) = -8*n + 63. Let l(v) = 3*h(v) + 6*j(v). Is l(-20) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 11, 3, 4 in decreasing order.\nAnswer: 11, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - a + 3 = 10, 0 = -5*c - 2*a - 15. Let x be (-4 - -1 - 86) + (-18)\/(-6). Let v = 90 + x. Sort v, c, 5 in descending order.\nAnswer: 5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*i**3 - 181*i**3 + 69*i**3 + (-2*i**2 + 0*i + 0*i)*(-3*i + 4*i + i) - 26 + 26 + 206*i**3.\nAnswer: 172*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2.97. Let t = 91 - 725\/8. Sort 2\/3, m, t in descending order.\nAnswer: 2\/3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sissiiscsssqgsssis. Give prob of picking 1 g and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {c: 9, g: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9794.5*-1256\nAnswer: -12301892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**3 + 3*h**2 - 29*h - 61. Let z(f) = 5*f**3 - 3*f**2 + 26*f + 49. Determine -8*n(c) - 10*z(c).\nAnswer: -2*c**3 + 6*c**2 - 28*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**4 - 7442*o**3 - o**2 - 14417 wrt o.\nAnswer: 8*o**3 - 22326*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose 0 = -w*r + 3*r + 3*t, r - 5*t - 12 = 0. Find v such that -8*v**3 + 14*v + r*v**2 - 8*v**2 + 4 - 4*v**2 = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0808 + -0.0808. Suppose -2*i + 5*i - 3 = 0, b - 2*i - 2 = 0. Sort a, b, -5.\nAnswer: -5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-10*5\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 736959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 11*b**2 + 46*b + 282. Calculate s(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75056308?\nAnswer: 2, 19, 419, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 - -2) - (233 + -239).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/657 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 14. Let m be a(-7). Let q = 48 - m. Let f be (5\/((-5)\/(-2)))\/1. Solve l - 5*h - q = 0, -l = -2*l + f*h + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187*-6.6.\nAnswer: 1234.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/7158 + 257765\/551166. Let b = q - 2\/7. Let j = 109\/1038 - -79\/346. Sort b, j, 1\/7, -2.\nAnswer: -2, 1\/7, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -5 + 4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26774 (base 9) to base 5\nAnswer: -1040010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4 + 4)*(2*m - 3*m + 2*m)*(-4*m + 0*m - 2*m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l**2 + 30*l - 2. Let n be m(-2). What is the greatest common divisor of n and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220722 is divided by 10498?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 954448*l**4*y**2 - 6*l**2*y**2 + 2*l*y**2 - 5201642*l*y + 4*y**2 - y wrt l.\nAnswer: 11453376*l**2*y**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -24. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246*o**2*u**2 + 6894*o**2*u - 42*o*u**2 - 165*o - 223*u**2 wrt o.\nAnswer: -492*u**2 + 13788*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 20?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 29*j**2 + 6*j. Let m(f) = -53*f**2 - 11*f. Let d(o) = -11*a(o) - 6*m(o). Let c(g) = 5*g**2 - 6. Give d(c(w)).\nAnswer: -25*w**4 + 60*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46363349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/11 - 12*x**2 - 5281*x\/11 + 492.\nAnswer: (x - 164)*(x - 1)*(x + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 16 = 10*h. Let a be (-2)\/(-1 + 0) - 0. Suppose -8 = 4*v - a*u, 4*v + 0*v + 22 = -5*u. Sort -5, h, v in ascending order.\nAnswer: -5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*j - 43*j - 138 - 42*j wrt j?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + q + 215*q**2 - 2*q**4 - 2803*q**3 - 423*q**2 + 208*q**2 in the form r + h*q**4 + n*q**2 + w*q**3 + j*q and give w.\nAnswer: -2803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99509851.43 + -222579.43. Let u = f + -99287284.0000014. Let t = u - -12. Round t to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 7*f**2 + 2*f - 7. What is w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d - 20. Let i(r) = -5*r**3 + 67*r**2 - 29*r + 43. Let k be i(13). Which is the closest to d? (a) 0.5 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(1140\/399)*((-3)\/63)\/(2\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2115524 (base 9) to base 13\nAnswer: 308674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.57 + 40. Let f = 3.27 + a. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**2. Let y(g) = 609*g**2. What is s(y(t))?\nAnswer: 2225286*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7704, 7798, 7912, 8052, 8224, 8434?\nAnswer: 8688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 41*o**2 - 20*o - 7. What is the units digit of a(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 6*q + 48. Calculate the remainder when 70 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2 + 267*n - 428. Let f be k(-35). Solve 5*s = 10, s + 6 = f*m - 31*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**2 + 6*l**2 + 0*l**2)*(453*l**3 + 0*l**2 - l**2 - 413*l**3).\nAnswer: 600*l**5 - 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 21 = 26. Let k(i) = -i**2 - 7*i + 82. Let q be k(-13). Sort 0, -4, d, q.\nAnswer: -4, 0, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w + 21. Give v(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 443242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f - 129*f = 11*f + 501 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/5 or -44?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546 not equal to 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056095 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(3\/4)\/w)\/w**12)\/(w\/w**(3\/5)*w\/w**9))**(-30) assuming w is positive.\nAnswer: w**(279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 12 (b) 2\/13 (c) 166\/9 (d) 1.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20490 not equal to -20490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) -12 (c) -447 (d) 0.3 (e) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-3969)*(9 - 0)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l + 110. Let j be a(-9). Sort j, 3, -3, 0 in decreasing order.\nAnswer: 3, 0, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -7\/12*k**4 - 7*k**2 + 0*k**3 + 0*k + 1\/30*k**5 + 0. Let h(m) be the third derivative of m**5\/60 - 10*m**2 - 7. Give r(h(z)).\nAnswer: 2*z**4 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 3*h - 3. Let n be t(-4). Suppose -5*j + n = -19. Let i(m) = 2*m**2 - 5*m - 2. Is 4 a factor of i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17235867 rounded to the nearest 10000?\nAnswer: 17240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -432 + 631. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.297, -28, 30, -4, 0.2, 4 in decreasing order.\nAnswer: 30, 4, 0.297, 0.2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*d + 219*d + 48*d)*(3*d - 9*d - 4*d - 2 + 2 + 2*d + (1 + 2*d - 1)*(-3 + 2 + 2) + d + 2*d - 2*d).\nAnswer: -1660*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 3*y + y + y**4 + (-373*y**2 + 8*y**3 + 373*y**2)*(2*y - y + y) in the form h + w*y + v*y**3 + q*y**2 + x*y**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(63) + (sqrt(63) - (sqrt(3087) - sqrt(63))**2*2).\nAnswer: -4538 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 94 = -k + 3*x, 0 = 3*x - 6. Find the third derivative of -k*v**2 + 6*v**2 + 12*v**2 - 7*v**6 wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15388000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -7, 11, -4, 103, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/7)\/i*i**(-6)\/i*(((i**(-2\/11)*i)\/i)\/i)\/(i\/(i\/i**(-2)))*i**(2\/7)\/((i\/i**(3\/5))\/i)*i**7\/(i*i**(-6\/5)*i) assuming i is positive.\nAnswer: i**(34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2*r**6 - 6*r**3 + 14. Find the third derivative of d(b) wrt b.\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 772815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949 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: Calculate ((-200)\/(-130))\/10 - 3\/104.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 32\/(-28)) + (-418)\/1064.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/28)\/(14\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162253645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-39) + (-449)\/(-130) and 12\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/12)\/((-1)\/(-6))*2. Let m be (-51)\/190 - (-4)\/10. Let f = 1\/152 - m. Which is the second smallest value? (a) f (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*h**4 + 285*h**3 + 2*h**2 + 31*h + 1719473 wrt h?\nAnswer: 220*h**3 + 855*h**2 + 4*h + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-255)\/35)\/((-9)\/63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-10) + 2\/2 - -5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 471 - 116 - t - 1959 - 1259 to f*t + i + j*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -107, -129, -151, -173?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c. Let n be 69*(-1)\/(-3) + 3. Let f(j) = -51 + n + 5*j + 25. Give i(f(z)).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((19 + (-1425)\/76)*3)\/((-75)\/(-4)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -8. What is the derivative of -13*q + 13*q - 2*q**2 - 2*q**h + 4 wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8360 < -209699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 7)*(2 + 0 - 4)*(-4*s**2 + 3*s**2 + 0*s**2).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002306668 rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/3*14292\/120 - 1. Let h = 590 - o. Calculate the common denominator of 11\/41 and h.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.81966 + -0.6233. Let x = 0.217 - r. Let z = x + -0.02. Round z to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 4. Let h be -4 + (-46)\/(-10) - 56\/10. Let q(z) = 5*z - 5. Determine h*q(a) + 6*r(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -315\/4. Let b be -4*(-10 - -8) + -11. What is the nearest to b in q, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 7*d**3\/2 + 9*d**2 - 18*d - 26. Let c(m) be the first derivative of i(m). What is the tens digit of c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5572, -5815, -6220, -6787, -7516?\n\"Answer: -81*m**2 - 5491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6548403 - 1.79?\nAnswer: -6.4448403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1121012020202?\nAnswer: -1121012020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 - r - 2. Let x(t) = -8*t - 33. Let u be x(-4). Let f(o) = -9*o - 4. Let w be f(u). What is c(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 810, 1615, 2418, 3219, 4018?\nAnswer: 4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1026 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132634 is divided by 961.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7104*k = 8*r + 7103*k - 18, 2*k = 2*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2484 * 2.9.\nAnswer: 7203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {r: 2, p: 1, e: 1, a: 3, x: 10, v: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 770\/8 + (-4)\/16. What is the highest common factor of 32 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 8*u**2 - 419*u - 2052. Determine j(-5).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 995 + -212. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1443 + -2.\nAnswer: -1.8557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 0.3. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*g + 5 = g, -4*q - 10 = 2*g. Let x be ((-186)\/(-372))\/((-1)\/12*2). Let p = 10 - 15. Put x, p, q in increasing order.\nAnswer: p, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) - ((sqrt(5)*1)**2 + -3)).\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313427 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from buvubbnubvubbbbnbn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4623 times -4313\nAnswer: 19938999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-7)*(-322)\/552?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10183 + 10646 + 6315 = 261*p for p.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + (-5 - 25416\/110). Let p = z + 237. What is the second smallest value in 3, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19467 divided by -63\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*h - h + 22, h + 1570 = r + 1563 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36.5 and 0.027?\nAnswer: 0.9855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101111111001011110 (base 2) to base 6\nAnswer: -4112142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(26\/9)*s)*s)\/(s\/(s*s*s\/(s\/(s\/s**(-47))*s))) assuming s is positive.\nAnswer: s**(415\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -15*d + 5*d. Let c = 3 - 0. Solve -d + 4 = c*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-11 + (6 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -675\/2 - 35\/4*v**3 + 369\/4*v**2 - 945\/4*v + 1\/4*v**4.\nAnswer: (v - 15)**2*(v - 6)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 43*p**5 + 21*p**2\/2 + p + 91. What is the second derivative of a(i) wrt i?\nAnswer: 2580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432.4 + 385. Let z = -47.5 - t. Which is the closest to 0.2? (a) 0.2 (b) 1.4 (c) z (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -m + g + 3, g = -m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -282, -423, -566, -711, -858?\n\"Answer: -w**2 - 136*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 4*n**2. Suppose -9 = -4*k - 1. Suppose -k*x + 3 = f, -4*x + f + 7 = 4*f. Let h be x\/(-2) - (-7)\/(-2). Calculate t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 + -0.17. Which is the third biggest value? (a) 3 (b) f (c) -11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 188*k**3 + 4672*k**2 - 22288*k + 27456 = 0.\nAnswer: -66, 2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*q**2 - 5*c**3 - 6*c**2 - 646339*c*q**4 + 19594*c*q wrt q?\nAnswer: -2*c**3 - 7756068*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 13019 = 3*c - 89822, 3*c = n - 25609. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108672 and 76?\nAnswer: 2064768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 58 = -52 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4214\/17 + 248. Which is the nearest to -3? (a) f (b) 1\/9 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/13 (c) -1\/6 (d) 0.09 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50200 - 0.01662834896.\nAnswer: -50200.01662834896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 3*m. Calculate j(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16809365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -40434248 divided by -4\nAnswer: 10108562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 + 2*o + 3. Let w(p) = p**3 - 4*p**2 + 3*p + 4. Let y = 148 - 151. Give y*w(s) + 4*h(s).\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 273*u + 711. Does 87 divide z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23844 rounded to 3 decimal places?\nAnswer: 1.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3732 is divided by 1239?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(288) + -3 + sqrt(288) + 1.\nAnswer: -6 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 2 (c) -84 (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 + 1748 = 63*i - 909 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2445, -3, -50 in descending order.\nAnswer: 2445, 18, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1\/(-3)) + 48\/(-36) + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 0*a + 4*a)*(5*a**2 - 12*a**2 - 2*a**2)*(3 + 1 - 2)*(3 + 2*a - 3) to m + k*a**4 + q*a**2 + r*a + w*a**3 and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.0746 + -0.0746. Which is the closest to 5? (a) f (b) 0.4 (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.4 + 17. What is the smallest value in n, 0, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose -3*j + 2*j - g = 0. Let z be 1*j + (-1 - -68). What is the greatest common divisor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c + 4*c = 0. Are c and 1\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*z = -28, -3*t - 4*z = t - 32. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6*f**2 + 0*f**2 - f**2 + 136*f**3.\nAnswer: 136*f**3 + 5*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49893044*t**2 + 14595255 with respect to t.\nAnswer: 99786088*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/33 - (10\/(-66) - (-39)\/117)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + 271. Suppose -7*f = -505 - a. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67093452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3843 - 3843.1. Let x(t) = t**2 - 7*t - 1. Let s be x(7). Which is the nearest to s? (a) -0.6 (b) m (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 11*t - 6, -c - 106*t + 111*t - 439 = -442 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 7*n + 10. Suppose 0 = 5*s - 5*a - 35, -a + 4*a - 43 = -5*s. What is the lowest common multiple of 6 and f(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r**2\/5 + 6993038*r\/5 - 6993086\/5 = 0 for r.\nAnswer: -3496543\/24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5114503, 5114505, 5114507, 5114509, 5114511, 5114513?\nAnswer: 5114515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 33. Suppose 2*s + 1 - 21 = j. Suppose -l - 5*h + 26 = 0, -30 = -3*l - 3*h - 0*h. Solve -4*q = l + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/5 - -17\/15. Let v = 529 + -532. Which is the closest to v? (a) d (b) 1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2 - 2 - 2*i + 1. Let d(h) = -3*h - 5. What is 5*d(m) - 8*z(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)\/(157\/628). Solve -d*p + 3*r + 14 = 0, 3*p + 0 = 2*r + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*d + 30, -d + 3 = 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506 + 29 = -3*w. List the prime factors of w.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6542 is divided by 1846.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18042192 a multiple of 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 10. Calculate the lowest common multiple of a and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 37*h - 24. Does 13 divide o(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90 + 0)*(2 + -1 + 0). What is the greatest common factor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, b: 2, e: 5}. What is prob of sequence vbe?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*r - 662 = -68, 4*f + 5*r = 1240. Let n = -312 + f. Let u(m) = m - 7. Give u(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2196, 289, -1618, -3525?\nAnswer: -5432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 + -16)\/(-1 - 0). What is the closest to -1\/4 in -2, v, -22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1729)\/(-156) - 11)\/(7\/42).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*n = 7*g - 4, -g - 13 = 4*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16994*f - 953410 = -16927*f. Which is bigger: -14231 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 154 - 33 = 0. What is the highest common factor of x and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23510, 93566, 210226, 373484, 583334, 839770, 1142786?\nAnswer: 1492376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 450 - -5?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201.3 + 201. Let d = 14 - 22. Let m = 9 + d. Which is the nearest to m? (a) 4 (b) 1\/22 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 - (6 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1166 and 31\/11?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 47*s**2 + 3*s**2 + 45*s**2.\nAnswer: 91*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72.32 - 72.9981. Round d to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97 (b) -1\/9 (c) 0.1 (d) -19848\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -13. Suppose -6 = -l + 4. Suppose 0 = 4*c + c - l. Put c, 0, w in descending order.\nAnswer: c, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + c074?\nAnswer: c072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j - 5*c + 60, 2*j - 21 = -c. Let q be j\/(-21)*(-4)\/6. What is the third biggest value in -1, -0.02, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 5, v: 6}. Give prob of sequence zss.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 81*p**2 + 83*p - 68. Give k(82).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 965 - 964. Suppose 22 - 6 = 4*j. Suppose 7*o - 18 = j*o. What is the lowest common multiple of l and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/((-1)\/(-10)). Let y(f) = -5*f + 128. Let z be y(24). Suppose 4*p = -3*b + z, 4*b - 21 = 4*p + p. What is the greatest common divisor of b and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 7*m**3 + 23)*(205 + 35 - 121)*(1 + 1 + 0) + 0*m**3 - 3*m**3 - 3*m**3 to the form t*m**3 + f*m**2 + x*m + a and give t.\nAnswer: 1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*3*-3)\/((sqrt(600) + (sqrt(600)*-2 - sqrt(600)))*3 + sqrt(600)) + 4.\nAnswer: 9*sqrt(3)\/25 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/199 - 391\/1393. Which is the second smallest value? (a) -10 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75 and 18.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 16*k - 8*k. Calculate the highest common factor of k and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**5 + 5*v**4 + 15*v**2 - 5?\nAnswer: 180*v**2 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -5, -2, 3.\nAnswer: -5, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2 = -3*x, -x = i - 180771 + 180775 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4178893 and 52749?\nAnswer: 37610037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4293604369.\nAnswer: 38393, 111833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 892 = -m, 5*t + 5*m - 910 = 230. Solve t = -2*c + 228 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 19*o**2 + o - 10. Let p be k(19). Let l(u) = 3*u - 7. Let h be l(p). Suppose -4*b + 3*n + 12 = -3*b, 5*n = b - h. Solve b = -w - 6 + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51690654507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 7*h - 55 = -130, 1 = -3*v - 5*h for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565573 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7912 or -0.03?\nAnswer: -7912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 102*k - 2178. What is the hundreds digit of s(63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than 3\/1541548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210130 - -11?\nAnswer: 210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 4, m: 3, x: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -16. Suppose -p = 13*y + 23. Let l(x) = 3*x**2 + 5*x + 4. Calculate the remainder when l(y) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30 + -1)\/((-1)\/1). Suppose 0*b - 417 = -3*b. Suppose -5*j - a = -b, 2*j + a = j + i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280534 is divided by 597?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 - j**3 + 4*j**3)*(0*j**2 + 3 + 2*j**2 - 2) - j**5 - 3*j**5 + 0*j**5.\nAnswer: -6*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 2*b**5 + b**5 - b**5 + 0*b**5 + 4*b**5 + (2*b**2 + 0*b**2 - 4*b**2)*(-5*b**3 + b**3 + b**3) - 50*b**5 + 101*b**5 - 44*b**5.\nAnswer: 17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnaxntxdaan. What is prob of sequence nnt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**2 - 17*f - 132. Let b(w) = 42*w**2 - 51*w - 395. Let m(d) = 3*b(d) - 8*y(d). Let a be m(-6). Calculate the greatest common factor of a and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1698, 1723, 1804, 1971, 2254, 2683?\nAnswer: 3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 13. Let h be p(10). Differentiate 0*o + 5*o - h - 2*o wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**8\/21 + r**4\/12 + 10*r**2. Find the second derivative of n(g) wrt g.\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/7 + 11644*l**3\/7 - 980066*l**2\/7 + 968420*l\/7 = 0.\nAnswer: -5905, 0, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r - r + r)*(2 - 5 + 4 - 1 - 3 + 2 + (2 - 1 - 3)*(-2 + 5 - 4)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*c**3 + 65*c**3 + 2*c**2 + 2*c**4 + 1 - c**2 - 5*c to u*c**2 + p*c + t*c**4 + l*c**3 + a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 3830\nAnswer: 49\/3830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, -96070 in decreasing order.\nAnswer: 1\/5, -1, -96070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 + 334832*z**2 - 2009046*z + 3013596 = 0.\nAnswer: -167422, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/4*(6 - (1 - 3)). Suppose -g + 116 = 2*r, -3*g - 320 = -a*g + r. Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81*(8\/(-40))\/((-39)\/130)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 5*t**8\/84 - 44*t**7\/105 - t**6\/15 + 64*t**5\/15 + 7*t**4\/2 - 12*t**3 - 2*t**2 - 18. Find v, given that y(v) = 0.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 = -3*p, 1 = -3*p - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*r**3 + 5960*r**2 + 2380*r.\nAnswer: 5*r*(r + 238)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-29)\/(-638))\/((-4)\/(-88)) + 2. Solve 6*j - j = 0, -2 = -2*m - o*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 13 = -d. What is the least common multiple of d and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0 + 0*i**2 + 4*i - 1\/6*i**3. Let g(m) = 3*m - m - 3*m. Give q(g(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1879.176 to the nearest integer.\nAnswer: -1879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**4 + 3*o**4 + 0*o**4 + ((-4 + 3 + 0)*(3 + 1 - 6) + 10 - 16 - 90)*(o**4 + 0*o**4 + 2*o**4) as m + s*o**4 + n*o**2 + r*o**3 + p*o and give s.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 2180 in ascending order.\nAnswer: 1, 2, 2180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*f - 13 = 0, f + 19 = a + 12. Let n(b) = -2*b - 1. Give n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636265563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34748 and 357700.\nAnswer: 6080900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 435, 1866, 4245, 7566, 11823?\n\"Answer: -a**3 + 480*a**2 - 2*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*f - 97*f + 234*f - 71*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3844 - -3839. Put a, -11, 1, -16 in ascending order.\nAnswer: -16, -11, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 233*h**2\/3 - 5896*h\/3 - 48884\/3.\nAnswer: -(h + 22)**2*(3*h + 101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -3\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*5\/15*-2. Suppose -2*j + 4*j = 12. Let i = j + -3. Which is the third smallest value? (a) -1\/3 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 472828934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -300846*f**3 + 25074 with respect to f.\nAnswer: -902538*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 5)*4\/(-2). Calculate the highest common divisor of a and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 37. Suppose 2*s + 10 = h - 3, -2*h - 19 = 5*s. Sort -5, p, h in increasing order.\nAnswer: -5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 253*i**3*s**3 + 24*i**3 + 95*i**2 + 519*i*s**4 + 985*i with respect to s.\nAnswer: 759*i**3*s**2 + 2076*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 3*s**2 - 985*s - s**2 + 995*s + 340 + 6*s**2.\nAnswer: s**2 + 10*s + 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 35 = 5*g, -4*i = -g + 251 - 120 - 123 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-78)*78 + (-157 - -137)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -153 in 1, 0.8, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8*g + 6. What is the remainder when -7*(6\/3)\/(-2) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3251993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(275) + sqrt(275) + -2*sqrt(275) + sqrt(275) + sqrt(275) + -1)**2 + sqrt(275)).\nAnswer: -5505 + 75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8563 + -8508. Solve 0 = 33*m - g - 242 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 1, q: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and -9560.\nAnswer: -9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*x + 965 = 714*x. Sort -5, x, 327, -1\/6 in decreasing order.\nAnswer: 327, x, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 4. Calculate c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354011727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1797*v**3 + 2*v**2 - 2*v - 2. Let h(z) = 1799*z**3 + 2*z**2 - 3*z - 3. Determine 2*h(x) - 3*k(x).\nAnswer: -1793*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571409 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 12, -5*l + 3*a = -0*a + 8. Is -2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33126 - -132?\nAnswer: -32994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-36)*(-63)\/7. Sort t, -20, 4, -4.\nAnswer: -20, -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)*i*i*i**(4\/5))**49\/(((i**(-6\/7)*i)\/i)\/i**(-2\/49))**(-5\/13) assuming i is positive.\nAnswer: i**(-1592863\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 73.8. Let h = 165\/62 + -5\/31. Let u = -400\/3 + 132. Which is the third smallest value? (a) h (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.1, 81, -33, -14\/13, 4\/9, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, i: 1, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + w - 814 = -4*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1617\/2 + 833. What is the common denominator of r and -33\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103 in -2\/11, 1, -154, 4, -2\/9?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -540 - -145. Let f = y + 786. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2. Let h(m) = -5*m**2. Let j(r) = 5*h(r) + 6*k(r). Let p(g) = 147*g**2. Calculate p(j(q)).\nAnswer: 147*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216215590 divided by 1.\nAnswer: -216215590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -810 divided by -177744?\nAnswer: 135\/29624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -228668, 11, -1, -10 in ascending order.\nAnswer: -228668, -10, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9408 - -0.0882. What is i rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/(-615)*(-23 - -11).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 + 6*k - 3. Let u be o(5). Let l(b) = -80*b + 4. Let c be l(u). Let n be (-76)\/c + (-1)\/3. Is n smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -10. Suppose 4*n = -4*t + 8, 3*n = n + 5*t + 25. Suppose -4*p + 11 = -p + a, n*p - 5*a - 25 = 0. What is the biggest value in y, -5\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2 - 2*c + 6*c + 2*c - 5. Let h be d(2). Let w = h + -6. Solve n + 8 = 2*t, 0 = -2*n + w*t - 6*t + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -73*f + 8. Let t(n) = -24*n + 3. Let k(r) = -2*p(r) + 7*t(r). Let h be k(-4). Let m = h + -49. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*t + 9*t**2 + 55*t as q + h*t + u*t**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 248 + 33 = 0. Suppose 2*g - j - 36 = -5*i, 3*i - 161 = 4*g. Let b = 53 - i. Solve -4*q - 3*s + 0*s = 7, -b*s - 6 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 14 - -4 - (-46 - -41).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:24 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.44 - -0.34. Let z = 0 + 3. Let v = 4.91 - -0.09. Sort v, z, u in descending order.\nAnswer: v, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/((-2916)\/(-48))*180\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.28 + 5.08. What is the closest to -1 in -3\/2, y, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986127?\nAnswer: 3, 328709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 29*m**2 - 5*m + 649. Give z(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 15. Give g(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -138920 divided by 1208?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in -3, 7, -4, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*l - 20, -l - 7*h + 4*h - 3 = 0. Suppose -11 + 56 = -l*a. Let x = 376 + -2626\/7. Sort a, 2, x in increasing order.\nAnswer: a, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q**3 + 2*q**2 + q. Let j be i(-1). Let v = j - 31. Let n be 51\/108 - (-4)\/v. Which is the third smallest value? (a) -3\/5 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, -5, 4\/9, 4\/33?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -9297 = -9297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 31320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 - 4*f - 42. Let v be d(-6). What are the prime factors of v\/6 + 4 - -329?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -745640 divided by -5326\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48444437.\nAnswer: 48444437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12c + 5?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302942648*w - 151471331*w - 151471323*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006110902082 to seven decimal places.\nAnswer: 0.0000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*u + 3*g, -2*u + 5*g = -0*u + 17. Does 3 divide (-24)\/(-14)*42\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/120 - 7*h**5\/20 - 2*h**4\/3 - 5*h**3\/6 - 36*h**2. What are the prime factors of s(22)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542440651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. Suppose -2*d - 50 = -u*d. Let p = -35 - -41. What is the smallest common multiple of p and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/2)\/r*r*r*r**(1\/9))\/(r**(-4\/7)\/(r**(-11)*r)))**(-4\/25) assuming r is positive.\nAnswer: r**(1718\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 35. Let a(l) = 6*l - 31 + 4*l**2 - 3*l**2 - 57 + 89. Give a(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 84 = -5*l - 85, 0 = 5*l + 5*p + 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2243 and -2240 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -8*u + 3*u. Let m = u + 13. Suppose -4*n - q = -270, m*n + 4*q - 154 = 178. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6135001 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56338 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + h = -3*h - 48, -30 = -3*i - 2*h. Suppose -4*x = -4*t + i, 0 = -3*t - 7 - 8. Let s be (7 + -2)*x\/100. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 70 = 3*o, -2143791*o - 170 = 20*g - 2143786*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80491.779 take away 35?\nAnswer: 80456.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/1*(3375\/60)\/(-75).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1. Let u(f) = 12*f + 3. Calculate 2*c(x) - u(x).\nAnswer: -12*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60940 divided by -6.\nAnswer: -30470\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/28)\/(-13)*(77\/(-6))\/(-11)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 76\/4 + 1. Suppose 0 = y + d - 15. What is the closest to -0.1 in y, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-25))\/(1953\/2170)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51272149 a multiple of 1517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07 and -30.\nAnswer: -29.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3\/10 (c) 0.051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/20 - (-1)\/(-5). Let d be (5\/3)\/(c\/3). What is the units digit of (-2)\/d - (-34)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3623 equal to 126952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 58. Let x be ((-16)\/12)\/(z\/(-6)). What is the units digit of ((-303)\/2)\/3*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from dcccfcsoececsfsos?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {g: 2, z: 10, f: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3605*o**3 - 63*o + 64. What is the units digit of s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 2245*r**2 - 2290*r - 4873000.\nAnswer: -5*(r - 443)*(r - 50)*(r + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 389*z**5 + 2*z**3 - 27*z**2 + 8 wrt z.\nAnswer: 23340*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49035 is divided by 2961.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -153*i + 122?\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*q - 27. Let c = q + -16. What is the third derivative of 2*i**c - 4*i**2 + i**6 + i**2 wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.892\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24556, 49061, 73564, 98065, 122564?\n\"Answer: -o**2 + 24508*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d - 381. Calculate f(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -0.6 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t - 5*i - 204 = 0, 196 = 2*t - 3*i. Solve -t*k + 47*k + 57*k + 2*k**2 + 16 = 0 for k.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6448, -6225, -5802, -5131, -4164, -2853?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.231795895207.\nAnswer: -0.631795895207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35555781 by 3.\nAnswer: -11851927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32528\/75 + -867\/2. Find the common denominator of v and -151\/1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q - 212. Determine m(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 290723.86 less than 1960?\nAnswer: -288763.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 4268362.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61424, 61543, 61664, 61787?\n\"Answer: j**2 + 116*j + 61307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.3, -0.5, -1.111, 272?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -952*h - 23843. Calculate l(-25).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.048, 2, 167587, 5, -3?\nAnswer: 167587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 5 = -15*v - 5*m, 0 = 2*v + m + 1. Factor 0*a - 2\/7*a**3 + v + 8\/7*a**2.\nAnswer: -2*a**2*(a - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -66*j**3 + 5*j**2 + 3*j + 4. Let d(o) = -133*o**3 + 10*o**2 + 7*o + 10. Let l(k) = -3*d(k) + 7*f(k). What is the third derivative of l(t) wrt t?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*s**2 + 1539*h*s**3 - 2333*s**3 wrt h.\nAnswer: 6*h**2*s**2 + 1539*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3273 - -8482. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42286 or 42517?\nAnswer: 42517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a**3 + 2*a)*(a + 0 + 0)*(-18 - 16 - 25) - 8*a + 8*a + 4*a**4 + 3 - 3 - a**4.\nAnswer: -174*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Suppose t + 40 = -s*t. What are the prime factors of (-2)\/(-3) - t\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + x**2 - 2*x + 1. Suppose 1 = g - 3. Suppose g*o - o - 3 = 0. Let q be r(o). Are -2 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(10\/6 + -1). Suppose y = -r + 21. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 72*f - 1268. Let a be m(41). Put 0, a, 77 in descending order.\nAnswer: 77, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1)**2 + -3.\nAnswer: 24*sqrt(3) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11971, -23824, -35677, -47530, -59383?\nAnswer: -71236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 7}. Give prob of picking 2 s.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -29809400 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5070 = 13*x - 6214. Suppose -12*r = -x + 112. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 2271 = -33*o - 14221. Let f = -1295 - -914. Let k = o - f. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 95081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32505.\nAnswer: 3, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -227*h + 232*h. Suppose 0 = h*m + 4*i - 2828, -m + 2*m = 3*i + 719. What are the prime factors of m?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009671496 rounded to 5 dps?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 41. Let u be (-6)\/33 + (-96)\/(-44). Let m = u - -16. What is the greatest common divisor of d and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - -2.8. Let p = c + 5.4. Let n = 9.399999535 - p. What is n rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 7776 = 47*h. Find the common denominator of (180424\/h)\/(-19) + 8 and -29\/21.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a. Suppose -7*n - 2 = -8*n. Suppose -3*y - 5*s = -7*s - 76, 3*s + 54 = n*y. Let o(j) = -21*j + 47*j - y*j. What is d(o(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 60b47?\nAnswer: -60b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -293\/2664 + -5\/333. Which is the second biggest value? (a) -5 (b) 5757 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*5*-4*(0 + sqrt(847))*-1 + -5).\nAnswer: -2200*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -59*q**2 + 152*q - 262. Determine i(3).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29.63733 milliseconds?\nAnswer: 0.0004939555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (1 - (4 + -22 + 18)) - -43\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 19*f**2 + 28 + 2*f**2 - 2*f**3 + 11 - 11 - 22*f. List the prime factors of h(19).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 14 + (-21 - -12) + -8 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1160741116 to the nearest integer?\nAnswer: 34070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/5)\/(j*j**(-14\/9)))\/((j**(1\/4)\/j*j)\/(((j**(-1\/25)\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-3721\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 117\/(-78)*4\/250. Which is greater: 0.2 or r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 88*o - 694. Give j(8).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 2 k when four letters picked without replacement from {l: 1, m: 2, k: 3, u: 1, t: 6}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 39. Let c be (-594)\/(-126) - l\/14. Solve 2*u = 1 + c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = 6. Let t(a) = 28*a - 2*a**2 - 6*a - 11*a - a**3 + 0*a**2 - 12*a. Let m be t(v). Solve m = 3*h - 0 - 3, -5*h = -u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 + 6*g + 2. Let k(w) = 10*w**2 + 7*w - 3. Let n(u) = u**2 - 1. Let l(f) = -k(f) + 6*n(f). Determine -5*j(p) - 4*l(p).\nAnswer: p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 120 = 3*f. Let q be -1 + -1 + f\/(-6). Sort -2, -4, q in increasing order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 29*t**2 + 4*t - 5. What is n(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 24*j + 883. Let h be q(-20). Solve 3*x = 9*u - 11*u - 12, -u + h*x = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 + 8 = 0. Suppose -b*t + 4 = -3*x + 28, 5*x - 35 = 5*t. Suppose 38 = 5*l + 2*n, 11*l - 2*n - 4 = 9*l. Sort x, 5, l in ascending order.\nAnswer: x, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3 - -10)\/(21\/(-14)). Suppose 3*i + 2 = 5. Sort 4, i, h.\nAnswer: h, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-3))\/(-2)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878567?\nAnswer: 3, 626189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -1506552.\nAnswer: -1506559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60496 and 7008.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 - 60*i**2 + 2*i + 6. Let u(j) = -5*j**3 - 72*j**2 + 3*j + 7. Let y(s) = -5*u(s) + 6*z(s). Determine y(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-20)\/135)\/(3\/171) and -17\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519322, -519326, -519330?\nAnswer: -519334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 3) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1282 divided by -14\nAnswer: -641\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**3\/3 - 5*h**2\/2 + h - 233. What is p(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2080 = -3*r + 4*y, 3*r = -0*y + y + 2086. Calculate the remainder when (0 - 4)*r\/(-48) is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*p**2 + 4*p**2 - p**2 + (11*p + 10 - 5*p - 16*p)*(6*p - 2*p - 3*p).\nAnswer: -22*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 192*i**2 - 1647*i - 1. Let m be z(-183). Let w(f) = 2*f + 1 - f**3 + 4*f**3 + 3*f**2 - f**2. Calculate w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.9 + -14. Which is the closest to j? (a) 1 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -16*d + 265. Calculate x(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Let m be (-10)\/v*(-24)\/20. Let g(b) = 2*b**2 + m*b**2 + b**2 - 7*b**2. Let k(l) = 4*l**2. Calculate g(k(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 24. Suppose v = 12 - 2. Let c(n) = -n + 12. Let q be c(v). Solve 5*i - r = -2*p, 0 = -i - i - 3*p - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102b20 (base 12) to base 4\nAnswer: -331333020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17431290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from {f: 1, y: 2, e: 1, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-15))\/((-2)\/4654). Let p = o - -934. What is the common denominator of (-1)\/5 + (-453)\/(-90) and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - m - 1404. Is 9 a factor of (-8)\/32 - m\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*z = 158*z - 6432 + 7958 + 16010 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)\/sqrt(5))\/(2*sqrt(63)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234594 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34153728 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.034262 * 0.2.\nAnswer: 0.2068524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/10)\/((-11)\/715). Find the common denominator of (-42 - (0 - 1))\/(m\/(-13)) and -17\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/36*-1*-12. Let m = 0.4355 - 0.3355. What is the smallest value in m, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38022, -152073, -342078, -607971, -949686, -1367157, -1860318?\nAnswer: -2429103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 - -102. Calculate the least common multiple of d and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101300 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + (2*sqrt(4)*4 - sqrt(4))) - sqrt(132)\/(sqrt(48)\/(sqrt(4)*-1)).\nAnswer: 9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1435557 - 47983492709\/11484456. Let v = t - -4172. Find the common denominator of v and (-418)\/(-60) + (-18)\/(-54).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59044*j**2 - 9841*j**2 - 545248*j**2.\nAnswer: -496045*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -5\/8, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3414 + 0.0414. What is the closest to -1 in w, 0.6, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 8*v + 9. Let d be u(-9). Suppose 0*y - y + 1 = d. Let w = 224 - 231. Which is the second biggest value? (a) y (b) 3\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 3*y + 9 + 0*y. Let w be o(-5). Suppose -4*x = -3*z - 205, w*x = 7*z - 2*z + 195. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2010.\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(40) - -4*sqrt(40) - sqrt(40)) + (sqrt(280)*2)\/sqrt(7))\/(5*(sqrt(616)\/(sqrt(44) + sqrt(11)) - sqrt(56))\/sqrt(7)))**2*-6.\nAnswer: -486\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 950 + 942 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/400 + 1*8\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.524541ug to grams.\nAnswer: 0.000004524541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*(1\/13*3)\/((-390)\/2535).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1640)\/((-680)\/(-34))*-3*(-5)\/(-15).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27247.9 + -27248. Is -365\/9 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12021719 - 0.3.\nAnswer: -12021719.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 55?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:40 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000784561 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73112 and 15617848.\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + -2 + ((-4*-2*sqrt(304))**2 - ((sqrt(304) - ((sqrt(304) - sqrt(304)*2) + sqrt(304))**2) + 2)) + -3.\nAnswer: -4*sqrt(19) + 19451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.7 + -54.55. Let r = -10.5 - p. Round r to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54472?\nAnswer: 2, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 4 + 2*d**2 + 2 + (-1 + 0 + 2)*(6 - 21*d**2 - 6) + (-3*d - d + 3*d)*(-3 - 2*d + 3).\nAnswer: -17*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/871 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 + 18*t + 4. What is z(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -6, 0, -3 in increasing order.\nAnswer: -82, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5207\nAnswer: -5\/5207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 407 - 281. Calculate the greatest common divisor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*t**4 + 141*t**2 - 141*t**2 + (7 + 3*t**3 - 7)*(-6*t + 5*t + 2*t).\nAnswer: 46*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 15, 27, 18, 1.\nAnswer: -6, 1, 3, 15, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -655 - -1476. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -d - 119. Suppose -r - 15*f = -d*f - 111, -4*f - 439 = -5*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/7 (b) -2\/17 (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 + 2991*p**3\/4 - 78417*p**2\/4 + 75425*p\/4 = 0 for p.\nAnswer: -3017, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -324 - 25787?\nAnswer: -26222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029567 is divided by 256?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8237 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 281*k**4 + 4*k**3 - 172*k + 7. Let p(j) = 281*j**4 + 5*j**3 - 173*j + 9. Let u(c) = 5*i(c) - 4*p(c). Find the second derivative of u(h) wrt h.\nAnswer: 3372*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.374973 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1140, 1721, 2694, 4059?\nAnswer: 5816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -420, 421, 1\/2 in ascending order.\nAnswer: -420, 1\/2, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 99*a**2 + 936*a - 1968.\nAnswer: -3*(a - 4)**2*(a + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(-2)\/(-8) + (-52767)\/(-78)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2)*(-3)\/(-2). Suppose -36*g + 11891 + 5677 = 0. Suppose 37*o + 141 + g = 0. Put o, -3, y in decreasing order.\nAnswer: y, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 5 = 23. Let y(k) be the second derivative of 1\/21*k**3 + 0*k**4 - 1\/70*k**5 + 0 + 0*k**2 + o*k. Suppose y(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:36 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**4\/24 - a**3\/6 - 43*a**2. Let z(f) = 138*f - 115. Let h(t) = 230*q(t) - 2*z(t). Let x(p) = -p. Give h(x(c)).\nAnswer: 46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-10))\/((-1)\/(-68)). Suppose 14*i = 10*i + 152. Let m = i - q. Solve -6 + 14 = s + 5*z, m = s + 3*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 6 - 6)*(p**2 + 2*p**2 - 5*p**2) + 0*p**4 + p**4 - 3*p**4 as m*p**3 + v*p + u*p**4 + q*p**2 + k and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 164209 (b) -0.07 (c) -1\/9 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24809mg in micrograms?\nAnswer: 7248.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -22*v - 138. Let t be l(-59). What is the greatest common divisor of t and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/2? (a) 1\/2 (b) -0.3 (c) -2\/127 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9178195097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 4 (c) -15 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 300.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/4 + f**4\/2 + f**3 - 2*f**2.\nAnswer: -f**2*(f - 2)**2*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -614 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 15*w**2 - 25*w + 5. Calculate x(12).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 12 + 13. Suppose -h*m = 18 - 3, -t - 5*m - 13 = 0. What is the tens digit of -1 + (t - 1) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6) + (-11)\/(-33). Suppose -10*h + 96 = -a*h. Solve -2*m - h = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756895807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 3, y: 2, q: 2}. What is prob of sequence yqqr?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 3. Suppose -o - 8 + 8 = 0. Let h(f) = 5*f + 2 - 7*f + o. Give 7*h(j) - 5*x(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0283701 and -37.77.\nAnswer: -37.7983701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*15\/160*4\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**3 - 13*u**2 - 36*u - 11. Let f be o(6). Calculate the greatest common factor of 38 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 1101001010011001111?\nAnswer: -1101001010011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 48*v**3 + 246*v**3)*((0 + 0 + 2)*(-2 + 1 - 5) + 1 + 1 - 4 - 2 + 1 - 2).\nAnswer: -3383*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182454543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1371227 or 1371263?\nAnswer: 1371227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -364 or -6918\/19?\nAnswer: -6918\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 793 - 794 = -2*f, 0 = -5*f - 4*x + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29025 + 29024. Let b = -7 - -6.8. Put i, 2, b in descending order.\nAnswer: 2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 502816\/75 - 13407\/2. What is the common denominator of -93\/10 and o?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -823 - -461. Let b = p - -225. Let z = -137.00000146 - b. What is z rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/2)*x**(-2\/9)\/x*x*x**(-13)*x**(-2\/5))**(-15) assuming x is positive.\nAnswer: x**(1181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33073069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 72 - 443. Let w = 70 + g. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 59*y**2 - 2121*y - 87. Let z be w(36). Solve -69*f + 144 = -z*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 15, h = -3*h - 5*a + 1801. Suppose -4*b + 0*b = -h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -87. Calculate the lowest common multiple of 30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0268582983 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 7\/60*z**5 + 0*z**3 - 1\/336*z**8 + 0*z**6 + 0 + 0*z**7 + 0*z + 0*z**4 + 5*z**2. What is the third derivative of d(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-nine halves of a century?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.2 rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.172 - -21. Let l = -42 + 41.81. Let i = l - u. Round i to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2336\/3 + -16340\/21. Which is the third biggest value? (a) m (b) 2 (c) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-387)\/30*(-1185)\/(-1422))\/(2\/(-8)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7 + 3 + 43*r as v + h*r and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 35 - 12 - 2*l - 11*l**2 - 26 in the form i*l + k*l**4 + r + f*l**2 + g*l**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23493 and 495?\nAnswer: 3876345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 4:46 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 216.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 52631860.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/2 - ((-25)\/(-10) + -3). Let i be 8\/(-12)*c + -2. Solve -2*b - 3 = -5*r + 2*r, -i*r + 2 = -b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 3*i + 4*i + (-5 + 5 + 2*i)*(3 - 1 - 5)*(0 + 6 - 1) + 12*i - 4*i + 5*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m + 1043 = -12*m + 152 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -30. Let z = t + -15.8. Sort z, -3, 0 in ascending order.\nAnswer: -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let u(l) = 280004*l**2 + 2*l + 13. What is u(a(f))?\nAnswer: 1120016*f**2 + 4*f + 13","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -31437609.\nAnswer: -31437612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 8*w - 9. Let y be a(-5). Let n(s) = s**3 - 6*s**2 + s - 4. Let h be n(y). Is (1600\/(-48))\/(h\/(-6)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*27\/459. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 31*i + 181. What is the lowest common multiple of 788 and n(5)?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*(s*(s**(-4\/5)\/s)\/s)\/s)*s*s**(-10)*(s**0)**(5\/9) assuming s is positive.\nAnswer: s**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41580 and 12?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - -2 - (7 + -9). Let w be (3\/(-2))\/(15\/(-40)). Suppose 0 = -4*b + 4*k + w, 4*k + 3 = 5*b - 1. Solve 4*u - 26 = -3*s, b*s + l = u + 3*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 w when three letters picked without replacement from {l: 1, e: 1, m: 2, k: 1, g: 1, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 - 2?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l = 5*g + 5, -3*g - 35 = 5*l. Let y = -2 - l. Let h(n) = n - 2. Let p be h(y). Round p to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -5*r**8\/336 + r**7\/21 - r**5\/6 + 5*r**4\/24 - 13*r**2. Let y(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*f**3 - 311*f**3 + 627*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 10:00 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -12*u + 9. Suppose 4*p - 28 = -u*p. Which is the smallest value? (a) -0.1 (b) 3 (c) -0.9 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-18) - 6*(-4)\/8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11800161, 11800117, 11800073, 11800029, 11799985, 11799941?\n\"Answer: -44*s + 11800205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*k - 37*k**2 + 4 + 69*k + 38*k**2 to x*k**2 + m*k + z and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 less than 534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104\/4569 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t - 3*t**2)*(-5*t**3 + t**3 + 2*t**3) + (t**4 - 3*t**4 - 2*t**4)*(-39 + 128*t + 39).\nAnswer: -506*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 2012*p.\nAnswer: 4*p*(p + 503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + t = -1 + 13, 3*d - 3*t + 21 = 0. Let c(g) = -6*g + g + 4*g**2 + 7 + g. Is c(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5286883 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7*t + 8. Let g be h(-6). Let j(s) = s**3 - 2*s**2 + 2. Let u be j(g). Solve 2*f - u - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/76 (b) -4 (c) 3252 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = -37. Let r be 2\/5 + 4\/b. Suppose -4*s - f = -0*f - 72, r = 3*s - 4*f - 54. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 15) to base 13\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10*7\/945*3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2143*t**3 - t**2 - 3*t - 7. Let x(c) = 2142*c**3 + c**2 + 4*c + 8. Let y(z) = -6*b(z) - 5*x(z). Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*k**3 + 215*k - 106*k - 109*k + 568*k**3.\nAnswer: 270*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**4 - 11*j - 9. What is the first derivative of l(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13295.754967 take away 0.018?\nAnswer: -13295.772967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-2\/43)*b**(1\/4)*b**(-7))\/((b**(-2\/3))**(-16)*(b\/b**0)\/b**(1\/8)) assuming b is positive.\nAnswer: b**(-132235\/7224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/((-2 - 0)\/(-4)). Let y = -16\/43 + -947\/344. What is the common denominator of g\/(-6)*81\/(-20) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, g: 13, c: 2}. Give prob of sequence og.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721698739 to the power of 1\/3, to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2220244013 (base 5) to base 16\nAnswer: 4a0d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82e8 - 2?\nAnswer: 82e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 296542032 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 1. Let d be l(-1). Suppose 0 = d*g - 4*g + u - 3, -15 = 5*g + u. Is (-40)\/g + 2\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w - 4. Let v(b) = 2*b - 1. Let o be 8\/(-40) - (-230)\/25. Calculate o*v(u) - 2*i(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from qqgqqqqqgqqqgqqq?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029039736 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:44 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-5)\/(-10) + 6\/(-8)). Let i be 16\/(-36) + ((-58)\/(-9) - 6). Sort -4, i, -2, f in decreasing order.\nAnswer: f, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.527 + -2501080419?\nAnswer: -2501080418.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - g**4 - 14 + (-1 + 5 - 3)*(-g**4 - 2*g**4 + 5*g**4).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1679692497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/(4\/2). Let r(k) be the first derivative of 0*k**3 + 0*k**2 + 1\/4*k**4 + 0*k - m*k**5 - 2 + 1\/6*k**6. Factor r(l).\nAnswer: l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - -3.14. Which is the third smallest value? (a) -2 (b) 0.1 (c) 0.2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142467000 rounded to the nearest one million?\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 + 23*t - 171.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 569313, 569317, 569321, 569325, 569329, 569333?\n\"Answer: 4*i + 569309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 30537471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-26) + 6\/(-39). Let w be (-1)\/(-2)*(85 + l). Let t = 83 - w. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 91 in decreasing order.\nAnswer: 91, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 11, -4, -40, 1, 745 in descending order.\nAnswer: 745, 11, 1, -4, -11, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = 558991 - 1434931. List the prime factors of r.\nAnswer: 2, 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497804431 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -29*y - 93. Let x be q(-4). Solve -x*f + 25 = -5*c - 28*f, -1 = 3*c - 4*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 3*p + 4, 3*p + p = -u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.4 rounded to the nearest ten?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/276 and -29\/204?\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7074, 7800, 8526, 9252, 9978, 10704?\n\"Answer: 726*q + 6348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 27*z - 68 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skzc when four letters picked without replacement from {c: 3, z: 4, k: 4, s: 1, n: 4}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 124. Calculate the remainder when 158 is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 76. Let u be 18 - 14 - d\/(-18). Put u, -0.5, -4 in decreasing order.\nAnswer: u, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 1. Let h = 3 + -48. Let t = -40 - h. Let o be (-4)\/10*t\/(-2). Let a(k) = 2*k**3 - 5*k**2 - 4. Give o*a(y) - 3*s(y).\nAnswer: 2*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*l*z**3 - 8*h**2*l*z**2 + 3*h**2*l + 506*h*l*z**3 + 12*l*z**2 - l*z wrt z?\nAnswer: 6*h**2*l + 3036*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4136 = -0*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f. Let t(o) = 29*o + 16. Let i(l) = 10*l + 6. Let r(p) = -8*i(p) + 3*t(p). What is q(r(a))?\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:55 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*q**4\/6 + 85091*q**3\/3 - 9136109*q**2\/6 + 58388350*q\/3 + 116250 = 0. Calculate q.\nAnswer: -558, -2\/335, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100230, -100232, -100234, -100236, -100238?\n\"Answer: -2*w - 100228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - (650 - 642 - (3 + 10))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 714079.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-3) + -1*(653 + -1). Let r = 652 + b. Let u(w) = 11*w - 2. Let k(l) = l. Let n(f) = -4*k(f) + u(f). What is n(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c3b - -6?\nAnswer: 4c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 + 3*g - 1. Let i be s(3). Suppose -3*u = 2*u + 3*k + 447, u = -k - 91. Let f = u + 126. What is the highest common divisor of i and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o**2 + 7*o + 2 - 2 - 4*o**3. Let b(v) = -21*v - 2*v + 3*v**2 + v**3 + 21*v + 0*v**2. Give 22*b(n) + 6*s(n).\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266 + -650.5. Let i = r + 330. What is i rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/3*(-100)\/120\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714 (base 14) to base 16.\nAnswer: 56e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {i: 2, x: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x + 6. Suppose -w + 5 + 22 = 2*u, 3*u - 33 = w. Suppose 40 = -u*a + 17*a. Suppose 2*d = -3*g + a, -7 = -2*g - 4*d + 9. Give o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 - (-3 - (16 + 16)) - -40\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 484*j + 223. Is p(7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101464 + -54927. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 34*s**2 + 34*s - 10. Let o be d(-16). Let r be (-8)\/32 - o\/8. Solve -5*v + 25 = -4*k + r*k, -3*k = -3*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 7*m**2 + 4*m - 1. Let y be l(7). Let h = 446 - 353. Suppose -h = -2*a + y. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -15, z - 14 = 4*m + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxwlxwwbxb. What is prob of picking 1 w and 2 b?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40653653 minus 0.006?\nAnswer: 0.40053653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 1253?\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipofpfffpipeepef. Give prob of picking 1 f and 1 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798689.\nAnswer: 29, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*((-605)\/20 - (-8 - -11))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 3\/2*x**2 - 1\/3*x**4 - 11*x + 0 + 0*x**3. Find the first derivative of y(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-55)\/4 + 2)*(-24)\/6.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-720)\/(-42))\/(-6)*91\/26.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979 divided by 170?\nAnswer: 3979\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/50)\/((552\/80)\/23).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545 at least as big as 4534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1539) + (-2*sqrt(1539) - sqrt(1539) - sqrt(1539)) + -1 - (5*(1 + sqrt(1539))**2 - 3*2*sqrt(1539)).\nAnswer: -7700 - 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 1.2. Let j = 37.964 + 0.036. Let i = j - 38.1. Which is the closest to i? (a) -0.4 (b) t (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11434.\nAnswer: 2, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 905349 and 102327.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:52 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 40 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 22. Let q = u + 7. Let z = 105 + -107. Which is the nearest to q? (a) z (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -37 + 2\/(4 - 2). Let h be -15*((-35)\/(-7) + (-74)\/10). Let f = h + l. Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-188)\/(-10) - 5\/(-25). Let d be b\/2 - 2*(-4)\/16. Which is smaller: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14324 + 34346. Does 141 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*b - 103 = 93, -h - 3*b = -196. Suppose c + 3*a - 2 = 47, -3*c = -3*a - 147. Calculate the greatest common factor of h and c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q - 11. What is the remainder when s(13) is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 z when three letters picked without replacement from {m: 5, z: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -54 - 402. Let g = u - 98. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - 7*o**3\/3 + 7*o**2\/2 - 283*o. Let n(z) = -z**2 + 9*z - 5. Calculate 7*n(t) + 5*x(t).\nAnswer: -2*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(sqrt(567)*1 + sqrt(567)) - sqrt(567)))**2 + 4 + -5*((sqrt(70) + sqrt(70) + 2*sqrt(70) + sqrt(70))*-3)\/((sqrt(10) + sqrt(10) + sqrt(90))*4).\nAnswer: 15*sqrt(7)\/4 + 617467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -6. Let x be 32 + (4 - (-1 + 1)). Suppose -4*f = -p + x. Is f greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 13. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -f, -3*g + 4*f = f + 6. Let l(d) = -g - 3*d + 3 - 5 + 0. Suppose -2*h + 23 = -5*a - h, 4*h - 32 = 5*a. What is l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 338 in 0.4, -0.3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 + -162. What is the units digit of (-4 - (-6 - 945)) + (-1 - g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-5*m + 3*m + 3*m)*(14572*m - 12650*m - 11812*m - 12265*m).\nAnswer: 22155*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mymmym?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 + 4*o + 8. Suppose 2*b + 2 = -5*r + 27, -4*r = b - 17. Let w be g(b). Suppose 2*t + w*t = 1110. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4 - 9) + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 + 11*f - 11. Suppose 8*d - 7*d = 3. Let m(g) be the first derivative of -1\/3*g**3 - 2*g + g**2 - d. Calculate -4*b(w) + 22*m(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:25 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/((-3)\/45). Let p(w) = 27 - 7*w**2 + 21*w - 29 + 7*w**3 - 6*w**3. What is the tens digit of p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w. Let h be n(2). Suppose -3*t + h = -8*t - 3*o, 3*o = 5*t - 22. Calculate the lowest common multiple of (2 - 1)\/(t\/4) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 695 - -273. Calculate the greatest common divisor of 440 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 divided by -758?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(684) - (-2 + sqrt(684))) + 3 - sqrt(684))*5)**2 + -5.\nAnswer: -6000*sqrt(19) + 70895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17042 >= -17041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -147*u - 1476. Let f be w(-10). Which is the closest to 0.2? (a) -0.5 (b) -2\/9 (c) -1\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11122 + -1222222?\nAnswer: -1211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1962.08 - -45.\nAnswer: -1917.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u + 28 = 61*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(13) - (sqrt(39)*2)\/sqrt(3)) + -5)**2 - (0 + 2*sqrt(637) + sqrt(637) + sqrt(637))**2).\nAnswer: -10155 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 540.5 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) - (-5)\/2. Solve 3 = x*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -23 - (-329 - -340)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 861?\nAnswer: -1\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003456 to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 40. Suppose 0 = 6*o + g*o - 26919. Let c = o - 4411. Round c to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2524.371 milliseconds?\nAnswer: 0.04207285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6 + 5*r**2 - 14 + 5 + 4 - 5*r + 2*r**3 + 4*r. Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*h, -34*h - 2*g + 7 = -17*h - 20*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -144?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-35))\/((-9)\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Which is the smallest value? (a) -0.2 (b) o (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5)*(-9)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 8320*y + 16632.\nAnswer: 2*(y + 2)*(y + 4158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804609554 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 5*g**2 - 7 + 6 - 1 to the form x + p*g + z*g**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300288?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*12\/5)\/(2\/10*1). Solve 11 + 13 = i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.9 + -43. Let v = r + -4.4. Let m = v + 4.29. Round m to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87728 divided by 8\nAnswer: -10966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5817931 is divided by 1833.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 169 = -20. Is 3924\/y - 2\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4487 + 12061. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/53, 5, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 6*u - 12. Let b be w(-8). Suppose -b = 2*p - 16. Find the second derivative of d - 9*d - 7*d + p*d**3 - d wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 3939*b**5\/20 - 5*b**4\/12 - 2*b**3\/3 + 7*b. Let c be y(4). Round c to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 96 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -7 - -17 - (1 + 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (258\/(-387))\/(1\/21*2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 153? (a) 1\/5 (b) -5.7 (c) -12 (d) 0.5 (e) -3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 772.8207km?\nAnswer: 772820.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217142561?\nAnswer: 43, 5049827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 2870876*b**2\/5 + 11483528*b\/5 + 11483536\/5.\nAnswer: -2*(b - 1435442)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7980\/616 - 13)*-506?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 8*d**2 + 9*d - 5. Let p be 3 + (8 - 0)\/2. What are the prime factors of b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108*g + 2117*g - 990*g.\nAnswer: 2235*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 3004870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 5*l + 7. Let i be h(-3). Calculate the remainder when (i\/2)\/((-1)\/(-4)) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7853153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 1, l: 1, i: 3, x: 1, n: 5}. What is prob of sequence hh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2))**(-4\/7)\/(((y\/(y*y**(-4\/7))*y)\/y)\/(y*y**(-5)*y)))**(-36))**(-26) assuming y is positive.\nAnswer: y**(-15912\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(8613\/58))\/((-2)\/(-30))*100\/8.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose 0 = -r*m + 3*m - 9. Suppose -16 = -m*v + 95. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)\/(7\/3 - 2). Which is the closest to 4? (a) 0.1 (b) 2\/15 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:57 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 34*i**2 + 32*i + 3. Let t be h(-33). Calculate the greatest common divisor of t and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:46 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpaaalallll. Give prob of sequence lpa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*v = -22, 3*v - 4*v - 13 = -2*d. Suppose -2*f = 3*f - 2*z - 30, d*f + 2*z = 50. Suppose -o - f + 78 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10468643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - m. Let c(l) = 3*l**3 - 6*l**2 - 6*l - 13. Determine -c(y) + 6*h(y).\nAnswer: 3*y**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.808304 - 4.81. What is k rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03636 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 - 3*l - 2. What is the units digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*x, x - 8 = -5*r - 0*r. Let m be r\/(-13) - (-82)\/26. Let a(k) be the first derivative of -k**2\/2 - k - 1. Give a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 62*c**2 + 128*c - 56. Calculate j(64).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/124627022 and -95\/1102894.\nAnswer: 124627022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 + 5*g + 1. Let t(p) = p - 6. Let d be t(3). What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*q + 8*q. Let p(d) = -d - 3. Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -856 - -854 - (-7 - (6 - (4 + 5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9276687, -9276689, -9276691, -9276693, -9276695?\n\"Answer: -2*b - 9276685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9521107ng in kilograms?\nAnswer: 0.0000000000009521107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 6*q + 7*q + 281*q**3 - 270*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90060?\nAnswer: 2, 3, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -796 - -795.8749. What is a rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14203067449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3327 = 3328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t + 1. Let h = 63 + -60. Let q(b) = 2*b**3 - 4*b**3 + 11 + b**3 + 9*b. Let v(f) = h*s(f) - q(f). What is j in v(j) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgapeqi. What is prob of sequence pqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 5*p + 20, 10260*q - 10265*q = -p + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8925\/(-10725) + -6 + ((-1312)\/(-88) - 8).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*w**2 + 32*w**3 - w + w + 74*w**2 to the form k*w**3 + t + g*w**2 + h*w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**2 + 0 + 2*z - 11\/20*z**5 + 0*z**3 - 2\/3*z**4. Find the third derivative of u(n) wrt n.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -115, -108, -99, -88?\n\"Answer: z**2 + 2*z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-84)\/(-96) + 5\/4 and -89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324881 (base 9) in base 4?\nAnswer: -233111302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0 - x - 6*x - 1. Let q(w) = -w - 1. Suppose 5*g - 2*g = -i - 2, -5*g - i - 6 = 0. Let y be q(g). Determine o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.04169 millilitres to litres.\nAnswer: 0.05404169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5468, -22031, -49644, -88313, -138044, -198843, -270716?\nAnswer: -353669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.42, 0.2, -3, 33.28 in increasing order.\nAnswer: -3, 0.2, 0.42, 2, 33.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -104, 0, -4 in decreasing order.\nAnswer: 0, -2, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330 (base 6) in base 7?\nAnswer: -1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Let y = -5 - -2. Let b = 10042.1 - 10042.4. Sort y, b, s, -0.5 in decreasing order.\nAnswer: s, b, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 42, 105, 194, 309, 450?\n\"Answer: 13*a**2 - 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 23 = 4*a, 2*a - 172 = -4*s - 188 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-3*p + 4*p + 2*p)*(-6 + 11 - 9).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r**2 + 6319 + 6318 + 88*r**2 - 12637 - 24*r.\nAnswer: 24*r**2 - 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*2*4*256\/6144?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -k + 4*k. Let y(x) = x. Let o(p) = 2*p**2 - 15*p. Let h(a) = k*y(a) - 2*o(a). What is the second derivative of h(g) wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9464662 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + (5 - (0 - 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.134 - 3.3. Let a = k + -8.134. What is a rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:29 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 31 - 1. Suppose -8 = 3*d + h - 3, 10 = 2*d - z*h. Solve -s + d - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 5. Let s be 8 + 1 - (-4 - x). Suppose s*w - 445 = 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:24 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/147 + 2\/3 + (-4708)\/1498?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*z + 70*z + 9890*z**2 - 9886*z**2 as a*z + p*z**2 + m and give a.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 7*l**2 + 9*l + 11. Let t be o(-6). Let u be (t\/(-3))\/(12\/36). Suppose -21 = 2*z - 5*z. What is the highest common factor of z and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 1872*t + 3526415\/4.\nAnswer: (t - 6983)*(t - 505)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -8*a**5 - 148*a**4 + 27351*a**3\/2 + 41869*a**2\/2 - 13022*a + 1734 = 0?\nAnswer: -51, -2, 1\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/32 and (6\/28*-4)\/(48\/(-441))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*p + 2*p + 8 = 0, 0 = -2*p + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 1. Let t(r) = 16*r - 5. Give 11*g(n) + 2*t(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8)\/((-1)\/(-86)). Let c = -36 - s. What are the prime factors of -3 + (3 - 1) + c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*b - 4*b**5 + 2*b**5 + 3*b**5 + (2*b**5 - 2*b**5 + 4*b**5)*(3 + 5 - 5).\nAnswer: 13*b**5 + 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 - -536. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 7, t: 1, c: 1, h: 4}. Give prob of picking 1 t and 1 h.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6522804 and 11692.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -7.6, 3\/56, 0.3, -2.5.\nAnswer: -7.6, -2.5, 3\/56, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - 2*o**2 + (-6*o**2 + 3*o**2 + o**2)*(3 - 2 + 1))*((2 - 5 + 1)*(-15 + 5 - 6) - 19 - 4 + 5).\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {a: 3, i: 2, g: 1, n: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.2, 0.03, -2.7, 4.6 in descending order.\nAnswer: 4.6, 0.2, 0.03, -2.7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 13\/6, 5 in ascending order.\nAnswer: 0.6, 13\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 - 201*r**4 + 2619*r**3 - 3147*r**2 - 14970*r - 9000 = 0. What is r?\nAnswer: -1, 4, 15, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 848674697 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-8 + 10 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*60\/(-27))\/(1\/(-48)). Let x = -2228\/7 - w. Is 3 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u**2 + 21*u**2 + 14*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = 6, -3*x = 5*n - 11. Suppose 0 = -m + n*y + 1 - 9, 11 = 2*m + y. Suppose r = m*r - 957. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 247, 1, 339.\nAnswer: 1, 247, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296378 = -8594*x - 485676 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59274 is divided by 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113432?\nAnswer: 2, 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3729 and 5763.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/24 - n**3\/6 + 6*n**2. Let y(z) = -z - 3. Let q(g) = -2*r(g) - y(g). What is q(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -998, -1999, -3000, -4001, -5002?\n\"Answer: -1001*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 3) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -1423819, 3 in decreasing order.\nAnswer: 3, 1, -19, -1423819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 203*c - 1613. Give w(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-16)*(-488)\/183. Let j = 0.07 - -4.93. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13062707 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113694 is divided by 2367?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2663489 (base 10) to base 8\nAnswer: -12122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 10. Calculate the lowest common multiple of 1 and k\/(-3)*93\/62.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 9) to base 7.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 972160000 to the nearest one million.\nAnswer: 972000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((9\/54)\/((-3)\/(-6))). Solve 2*q = b*q - 3*n + 14, 2*q - 5*n = -23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 50, -5.\nAnswer: -5, -2\/7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 116 = -4*m, -27958*r = -27953*r + 2*m + 43 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*n + 11, -3*u - u - 5*n - 74 = 0. Let h be (-212)\/(-224) - (-12)\/u. What is the third smallest value in h, -0.4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 14, 26, 40, 56?\n\"Answer: i**2 + 7*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15689 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3)*-3) - (-3 + sqrt(162) + sqrt(2)).\nAnswer: -31*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (8 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*w**2 + 8*f*w - f - 3*w**2 + 133 wrt w?\nAnswer: 4*f*w + 8*f - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4)*i*i*i*i)**36\/(i**(-17)\/(i**(-5)\/i)) assuming i is positive.\nAnswer: i**335","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -15. Let a = 0.99999964 - z. Round a to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -199012137 and -8.\nAnswer: -199012145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Let p(q) = -q**3 + 5. What is the units digit of p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 0.18, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by 135\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 863, 2912, 6903, 13484, 23303?\nAnswer: 37008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311294749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**4 + 2*z**4 + (5 - 3 - 4)*(-11*z - 11*z**4 + 11*z).\nAnswer: 23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255613?\nAnswer: 255613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1062813980, -1062813982, -1062813984, -1062813986, -1062813988?\nAnswer: -1062813990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdc when three letters picked without replacement from decdddcee.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109434 is divided by 13002?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*r + 169*p - 31519*r - 7 with respect to r.\nAnswer: -2*p - 31519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -5)\/(1 + 1). Let v = 984 + -9839\/10. Is v > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 5:57 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 145*w**2 + 431*w - 709. Give n(142).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, z: 1, t: 2}. Give prob of sequence tt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -19672392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**44)**(13\/2)*y**(-2\/61)\/(y*y**(-24)*y))**(-12\/5) assuming y is positive.\nAnswer: y**(-234948\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k + 49. Let s(v) = -2*v. Determine a(g) - 3*s(g).\nAnswer: g + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a century in months?\nAnswer: 30800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-100 - -92) + 4\/(-6)*(-54)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 2*d - 6. Let a be h(3). Suppose -5*f - 4*l + 96 = 0, -f + a*f + 5*l = 100. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 12*r + 5. Let q be o(-11). Let v be q\/4*(-168)\/(-18). Let i = v + 15. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 332, 332, 334, 338, 344, 352, 362?\n\"Answer: q**2 - 3*q + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y**3 + 14*y**3 + 6*y**3 + (12*y**3 - 10*y**3 + y**2 + 0*y**2)*(11 + 4 - 4).\nAnswer: 28*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, f: 3}. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/(-90)*15*(-12)\/(-18).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(6\/5)\/t*t\/t**13 assuming t is positive.\nAnswer: t**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25838 = 45*v - 132938. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800987853?\nAnswer: 3, 266995951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 763514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Suppose 0 = q + 5, -2465 = -5*z + d*q - 3*q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129.8 + -19.2. Let z = 148 + g. What is the closest to 1 in z, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - u - 16, -5*n + 685*u = 680*u + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29418 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 2. Let o be u(-1). Let d be (-2)\/(-7) - (560\/49)\/o. Let q = 1.8 + -2. Do d and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313523 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + 159*m**2 + 126*m - 46. Calculate w(54).\nAnswer: -1990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.687 + -1.087. Let x(p) = p**2 - 11*p + 2. Let b be x(11). What is the closest to b in 2\/5, c, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 14. Let x(r) = 2*r - 2. Let u be x(3). Solve 4*q - 4*k = -5*k - 9, -3*k - d = -u*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.0105237 rounded to three decimal places?\nAnswer: -20.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 25090110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(392)\/sqrt(7) - sqrt(56))\/sqrt(8) + sqrt(7))*-5)**2 + ((-1*4*sqrt(175) - sqrt(175))*-3)**2.\nAnswer: -40*sqrt(7) + 39566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0 + 14*j**2 - 7\/8*j**4 + 0*j**3 + 0*j + 11\/30*j**5. Find the second derivative of v(m) wrt m.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -718161, -1436337, -2154529, -2872737, -3590961?\n\"Answer: -8*z**2 - 718152*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -9*c**7\/350 + 7*c**6\/200 + c**5\/50 + 4*c**2 - 22. Let a(x) be the second derivative of q(x). Suppose a(f) = 0. What is f?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1457442 and 38736?\nAnswer: 11659536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254076, -1016407, -2286986, -4065813, -6352888, -9148211?\nAnswer: -12451782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, -4, 7, -7547, 3, -17\/4?\nAnswer: -7547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/11 - 4*y**4 + 106*y**3\/11 + 152*y**2\/11 = 0.\nAnswer: -1, 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/((((h*h*(h**4*h)\/h*h)\/h)\/h)\/h)*h))\/h)\/h*h*h\/(h**(-5)*h*h))**(-32)\/(h**6*h**(-3\/7)*((h*h**(-2\/3))\/h)**(-2\/93)) assuming h is positive.\nAnswer: h**(-385885\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3\/5 + 6693*v**2\/5 + 3513261*v\/5 - 248650101\/5 = 0?\nAnswer: -1147, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 411, 2552, 7311, 15576, 28235?\n\"Answer: 148*q**3 + 421*q**2 - 158*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 154496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 24. Suppose 3*s = -c - 2 + 10, 4*s = -2*c + x. Is -14*(-15)\/12*c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -470, 2705, 5?\nAnswer: 2705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 12?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -236 + 241. Which is the biggest value? (a) -20 (b) r (c) 3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67064254*i**3 + 125005993?\nAnswer: 201192762*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d (base 15) to base 10.\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 81\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37336*p**2 - 311348.\nAnswer: 74672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14889*r - 10. Is y(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561528 by -280764.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((-7)\/(-14)*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*a, -12 = -4*d - 4*a + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25253 + 44221?\nAnswer: 14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**8\/1680 + u**6\/180 - 13*u**4\/8 + u**2. Let y(l) be the second derivative of i(l). Factor y(a).\nAnswer: -4*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078154 rounded to 7 decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000000 (base 2) to base 9.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-231)\/6)\/((-30)\/1) and 21574\/(-9240) + 2 - (8\/22)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 1. Let n be f(2). Let u(z) = -5*z**2 - 4 - 11*z + 4. Let j(t) be the third derivative of t**5\/30 + 5*t**4\/24 - t**2. Give n*u(h) + 7*j(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*z - 2*f, 5*f = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4. Let n(h) = -h**2 + 7. Let b(k) = -37*k - 893. Let f be b(-24). Determine f*x(i) - 3*n(i).\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 4*n + 4*n + (-2 - 2 + 5)*(2*n**3 - 2 + 2))*(0 + 0 - 1).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*i**3 + 28*i**3 - 18*i**3)*(-4*i + 0*i + 2*i + i + 0 + 0 + (0*i + 3*i - 4*i)*(-4 + 2 + 1) + i + 1 - 1).\nAnswer: -34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*k - 8. Suppose 20 = 4*v - k. Determine j, given that 2*j**3 - 19*j + 12*j**5 - 40*j**4 + 8 + 16*j**3 + 32*j**2 + v*j**3 - 17*j = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 10*o - 4. Let w be ((-3)\/6)\/((-1)\/90). Let x be 1\/(-4) + w\/(-12)*1. Is 18 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4302 and 9708408?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14d (base 16) to base 8.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396916190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/8)\/((-273)\/4449874). Let a = z + -12219. What is the common denominator of -11\/48 and a?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 263343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4312*j = 4331*j - 190 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-5)*1880\/(-141). Let s be 1\/3 + -2 + 130\/r. What is the third smallest value in -1\/6, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -89. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - d**2 - 4)*(2 + 15 - 5)*(-3 + 1 + 3)*(-4 + 4 + d**3).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*v - 5*u, 4*v + 3*u = -u - 12. Let d = 4.11 + -0.11. Let a = 267 + -266.8. Sort a, v, d.\nAnswer: a, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45 + -2 + -1 - 3?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1412, 2267, 3692, 5687, 8252?\nAnswer: 11387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*x - 82 = -880 - 1414 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*w - 5*w + 2*w)*(-1 - 2*w**2 + 1 - 2 + 2 - w**2 + 0*w**2 + 3*w**2 - w**2 + w**2 + 2*w**2 - w**2 + (-3 - 2*w + 3)*(-4*w + 3*w + 0*w) + w**2 - 3 + 3).\nAnswer: 164*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3391\/22 - -154. Let w = 23\/154 - r. Factor -w*s**2 + 0*s + 0 + 2\/7*s**3.\nAnswer: 2*s**2*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13)*13*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5 - 7992*j**6 - 5 - 216*j**2 + 7936*j**6 wrt j?\nAnswer: -6720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 15*w = q - 25*w - w + 232, w = -3*q + 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 2 + (12 - 5) + (15 - 23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.25 + 0.46. Let c = 2.79 + x. What is the smallest value in -0.1, c, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6063 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51, 639, 1225, 1809, 2391, 2971?\n\"Answer: -l**2 + 591*l - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*k - 19 = 136, -2*k - 242 = -3*s. Let m = 13 - 5. Let p = 12 + m. What is the greatest common divisor of s and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5\/(-6))\/1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15434007?\nAnswer: 3, 5144669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 14334.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01096625 rounded to five decimal places?\nAnswer: 0.01097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -148. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, -2\/13, 2929, 0.4 in increasing order.\nAnswer: -4\/15, -2\/13, 0.4, 2929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305339201?\nAnswer: 53, 461, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 36. Let i(v) be the first derivative of -v**4\/4 + 2*v**3 + 2*v + 4. What are the prime factors of i(b)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 + 970*g**2\/3 - 49646*g\/3 + 16226 = 0. Calculate g.\nAnswer: 1, 57, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 231 - -4?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 - -112.06. Which is the nearest to -0.2? (a) -0.1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -145. Let q = t - 9. Suppose 79 = 3*z - q. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158758 is divided by 923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/16 + (0 - 36\/96). Let l = -1.03 + 0.03. Which is the fourth biggest value? (a) l (b) 0.2 (c) -2\/9 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*l - 18 = 0, 15*p - 5*l + 19 = 11*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 >= 928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7761420.\nAnswer: 2, 3, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9482129.\nAnswer: 211, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11424.746 rounded to the nearest one hundred?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143)\/26*(44\/605)\/(12\/30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10482*d + 10482*d + 5*d**2 - 4 + 4.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Suppose -3*t + 3*w + 45 = n, 0 = 5*t - w + 3*w - 47. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -400396 - 8842*a + 400396 in the form i + w*a and give w.\nAnswer: -8842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:14 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 15}. What is prob of picking 2 b and 1 l?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 109*r**2 - 18*r - 20. Let g be z(-1). What is the highest common factor of 2354 and g?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1)*2 + sqrt(2) + (sqrt(30)\/sqrt(5))\/sqrt(3).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3710*x - 143071 = 4736*x + 422811 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**4 - 3*f**4 - 5*f**4 - 10*f + 6*f**4 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 - 369*y\/4 - 375\/2.\nAnswer: 3*(y - 125)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 7*t + 4. Let j be s(-7). Let d = 22 - j. Suppose -4*h = -h - d. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151539473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:44 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5133630 (base 7) in base 6?\nAnswer: -21052423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-80))\/(7\/(-14)*9\/(-5))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 110. Let h = 10 + -3. Suppose 5*r - o = -2*i, -h*r + 2*r = 3*i - 87. What is the lowest common multiple of r and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.24 - -1.2. Sort 0.4, l, 1 in decreasing order.\nAnswer: 1, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842920 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-2)\/(5 + (-3656)\/732). Let a = i + 1353. What is a rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*v = h - 16, -2*h = 2*v - 2. Suppose 2*j = -5*t + 134, -6*j - h*t + 316 = -j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, o: 6}. Give prob of picking 2 u.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, 1 b, and 1 e when four letters picked without replacement from peekpztekbk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**7\/140 - 53*k**6\/80 - 126*k**5\/5 - 496*k**4 - 5120*k**3 + 476*k**2. Factor q(l).\nAnswer: -3*(l + 5)*(l + 16)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 704124 and 20889012?\nAnswer: 62667036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5, -5*x - i = -20 + 5. Sort 3, -1, x in increasing order.\nAnswer: -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -105, -17?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 12, -4*m = -7*o + 12*o + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2033, 1950, 1869, 1790, 1713, 1638, 1565?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:13 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.9 or 4180?\nAnswer: 4180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.07, -4, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49690872 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -33.8. Let l = w + -35. Let c be ((-1)\/16)\/((-1)\/2). Put l, c, 0 in decreasing order.\nAnswer: c, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 885 + -882. Put h, 0, 2, -2 in descending order.\nAnswer: h, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 21, 55, 125, 243, 421, 671, 1005?\n\"Answer: 2*r**3 - 4*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -209220266 divided by -209220266?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49531422?\nAnswer: 2, 3, 223, 37019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*l - 1 + 2 + 9027*l**3 + 126*l - 9186*l**3 in the form f*l + m*l**2 + z + d*l**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 140*l - 142*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -b - 0*n, -5*b + 30 = -5*n. Let c be 1*b*(2 + 4). Calculate the highest common divisor of c and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15664088 + 15663879 - 8*b - 31327967.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 equal to -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + 46*p**2 + 39*p - 894. Let g be w(23). Solve 0 = g*a - 3*k + 9, -a - 5*k = -42 + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 13 + 10 + -10 + (73 - 3).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*j + 108 = 235*j. Let p = -76 - -127. Calculate the remainder when p is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 10, 0, 4 in descending order.\nAnswer: 10, 4, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2*200\/(-32))\/2 - -6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28272, 28272, 28270, 28266, 28260?\nAnswer: 28252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1813 and 2011394.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - a + 59 = a, -5*a = -5*o + 90. Suppose -o = -3*t - 4. Suppose 4*v = t*v - 170000. Round v to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 11:18 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g + 64 = 29*g - 68 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2006 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*a - 213 - 35 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 3*q - 4. Give a(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/15, 0.3, -1, -0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2083327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y - 1. Let m be 10\/70 - 68\/(-14). Suppose 2*v = -5*c - 39, -v + 4 = -m*c - 29. Calculate k(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 + 110*i**2 + 3056*i\/7 + 3048\/7.\nAnswer: 2*(i + 2)**2*(i + 381)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121000121001 (base 3) to base 13.\nAnswer: -958ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-2 + (-3)\/(-2))*(69 - 2003)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3591*b**2. Let o(y) = 4*y**2 - 15*y. Let j(a) = 3*a**2 - 10*a. Let h(c) = -3*j(c) + 2*o(c). Calculate u(h(r)).\nAnswer: 3591*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 36. Let t = -201769.0019 + 201804. Let n = u + t. What is n rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235*v - 81*v + 162*v)*(-37*v - 186 + 186 + (-4*v + 2*v + 0*v)*(-3 + 1 + 0)).\nAnswer: 5082*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f = h - 11, -h = 4*f - 32. Let p be ((-3)\/f)\/((-7)\/(-245)*-5). Calculate the highest common factor of p and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33401 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*t + 1 = 2*k, -2*t + 5*k + 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9214, 9215, 9216, 9217, 9218, 9219?\n\"Answer: b + 9213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-7)\/(-46))*(-588)\/112*20\/15?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.097 and -13.\nAnswer: -1.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6609c + -3c?\nAnswer: 66060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 0*x + 1 + 6 - 3. Let b(o) = 3*o - 3. Let v(p) = -3*p - 1. Let a be v(-1). Give a*k(j) + 3*b(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -25. Let a be (1 + -751)\/(l\/200). Round a to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 679701 - 679701.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 134399998 - (0 + -2). What is w rounded to the nearest 1000000?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.08 times -6\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -973150 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/6 + p**2\/2 - 5*p. Let c(g) = -g. Let r(l) = -1. Let u(v) = c(v) + 2*r(v). Determine -6*n(f) - 3*u(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p\/(p\/(p*p**(15\/8)*p))*p))\/p)\/p)\/(p*p\/((p**(-1\/36)*p)\/p*p)*p))\/(p**(8\/9)*p*p)**(-1\/19) assuming p is positive.\nAnswer: p**(-9235\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -11, -122, -343, -710, -1259, -2026?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.45, 6, -24?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uusuuususuuuuuuuuuuu. Give prob of sequence uusu.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 6*d**2 + 4*d - 2. Suppose -5*h - 33 + 183 = 0. Let v = -26 + h. Suppose -v*x + 8*x - 17 = -q, 4 = 2*x + 2*q. Give t(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-90))\/((-42)\/(-5))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*n = -17, -5*n - 23 = -2*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**7\/105 + y**4\/6 - 10*y**3\/3 + 7. Let q(w) be the third derivative of g(w). What is the first derivative of q(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 3) + -1 + 1 - 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1399187755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*w = 12, -288*s - 2*w = -289*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2511 - 1305. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 20*c - 6*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 329 = 10*b. Calculate the remainder when 97 is divided by -2 + 8 + -2 + b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1133 (b) -1\/4 (c) 0.5 (d) 1\/3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18177\/8 - 18171\/8. Sort -55, v, 5, 4\/15, -0.4 in decreasing order.\nAnswer: 5, v, 4\/15, -0.4, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 q when three letters picked without replacement from fffqqffffffff.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -10*w - 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1638, 1591, 1514, 1407, 1270, 1103, 906?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = 2. Suppose 0 = u*n + 5 - 17. Put -2, 2, n in descending order.\nAnswer: n, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**3 - 53*x**2 + 45*x - 78. Let k(w) = 7*w**3 + 18*w**2 - 15*w + 26. Let z(g) = -6*i(g) - 17*k(g). List the prime factors of z(-13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -135*2 + (9 - 6). Let i be 3001\/7 + (-4)\/(-14). Let g = i + u. Is g a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/3008 and -29\/991808.\nAnswer: 46614976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18)\/p**(2\/3))\/(p**1)**1 assuming p is positive.\nAnswer: p**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -26*t - 69. What is the hundreds digit of l(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 - 57 = 3*i. Suppose -c = -10*c + i. Solve 0 = -3*g - 4*l + 35, -4*l = 4*g - c*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 5*b + 21. Let l(p) = p - 23. Let u be l(26). Calculate the remainder when j(u) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89.198 + -0.198. Let s = -87.6 + j. Let q = s + -1.476. Round q to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1542559\/12 + -123433. Let z = o + -5102. Let y = -34\/109 - -7187\/327. What is the common denominator of y and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11858122 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 264 - 7203050?\nAnswer: -7202564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let t = j + -3. Is t + (3 - 2) - -14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.5 in -2, 43.7, 0.5, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2040*j. Let q(b) = 51*b. What is -3*k(c) - 119*q(c)?\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120341510321 - 0?\nAnswer: -120341510321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 62.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90a + 10?\nAnswer: 91a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 u when four letters picked without replacement from {r: 4, g: 3, u: 1, m: 6}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 630?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-2*b**2 - 5*b + 36 - 36).\nAnswer: -4*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, g: 2, e: 1, h: 1, i: 1}. Give prob of sequence gh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742119?\nAnswer: 3, 7, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8817*p - 844 = 8603*p, -j = p - 16 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 1. Let q(s) = -10*s - 18. Let d(p) = -5*p - 10. Let u(o) = -7*d(o) + 4*q(o). Let z = 3 - 6. Give z*u(i) + 8*j(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -884\nAnswer: 3\/884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 6. Give b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:39 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 6*k**2 - 6*k - 3. Let s(l) = -3*l**3 - 12*l**2 - 13*l - 7. Let u(p) = -3*s(p) + 5*x(p). Does 10 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37913*l**4 - 2*l**2 + 78068 with respect to l.\nAnswer: 151652*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314\/13 - -27721\/1131. Calculate the common denominator of -91\/45 and y.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 745*t - 742*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (91\/7)\/13*-9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 1 + 0 - 5 - 4. Let y be l(-7). Suppose -y*n = w - 5*w + 172, 0 = -3*w - n + 109. What is the highest common divisor of w and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8463257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 8 = 26*u, 28 = 5*d + 3*u. Sort -1, 4, d, 2 in ascending order.\nAnswer: -1, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -77*d**3 + 34*d**2 + 11*d + 25. What is the ten thousands digit of n(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 7 - 4*z**2 + 10 as p*z + q + k*z**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 1, t: 1, q: 2, n: 1, e: 3}. What is prob of sequence zje?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}