diff --git "a/data/dm_maths/full_data_1/1742_11255.jsonl" "b/data/dm_maths/full_data_1/1742_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1742_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate 4 + 0 - ((-33)\/(-12) + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 3*u - 269. Suppose 6*i - 3 + 351 = 0. Let s = u + i. Solve -3*t - 2*g - s - 4 = 0, 0 = 4*t - 2*g + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215235 = 5040*q - 58981 + 45346 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2006025*u + 2006267*u - 3630 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -625\/6 in -150, -13, -0.1, -1?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 15732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3384 and 28240.\nAnswer: 24856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34301 (base 10) in base 15?\nAnswer: -a26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -570, -424, 434, 1998, 4262, 7220?\n\"Answer: -i**3 + 362*i**2 - 933*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*1\/3 - -2. Suppose 13*l - 28 = 6*l. Suppose 0 = x*m - 3*u + 8, 0*m + 3*m - 5 = -l*u. Sort 1, 5, m.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32362 = -29*a + 26*a - n, -2*n - 10785 = -a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -3 - -1*1. Let r be (8 + -10)\/(4\/(-10)). Let a be (4\/(-2))\/(3 - 1). Sort g, a, r.\nAnswer: a, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/(-22))\/(41\/(-82))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -385 + 673. 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: What is the second derivative of 1077*u**2 - 6*u?\nAnswer: 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25382 divided by -1882\nAnswer: 12691\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429174?\nAnswer: 2, 3, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 + 6*a - 1. Let l be f(-6). Let h = -1 + l. Is 5 a factor of -3*28\/(-6) - h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 11*n + 8. Let b(g) = -4*g**2 + 12*g + 9. What is -5*b(v) + 6*z(v)?\nAnswer: 2*v**2 + 6*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7718*j + 21. Let l(q) = -3858*q + 12. What is 7*l(y) - 4*t(y)?\nAnswer: 3866*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2\/2 - 100*l - 1000 = 0. What is l?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from ijlijpjiiiiljjjyjlki.\nAnswer: 49\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 46. Let v(p) = -33741*p**2. Calculate o(v(w)).\nAnswer: -33741*w**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**9\/12096 - c**8\/3360 + c**7\/3360 + 3*c**3\/2 - 15*c**2. Let i(v) be the first derivative of t(v). Let i(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93111.6nm to centimeters.\nAnswer: 0.00931116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1081 - 56*t - 1081 to the form x + a*t and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 2*z**4\/5 + 22*z**3\/15 - 3*z**2\/5 - 28. Factor f(m).\nAnswer: 2*m*(m + 3)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (145 - 129) + 23.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/8)*n**(-3))\/(n**(-1\/2)\/((n*n*(n\/(((n*n**(-5\/6))\/n)\/n*n))\/n)\/n)))**(-3\/25) assuming n is positive.\nAnswer: n**(19\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 26*t - 1230. Let a be o(47). What is the second biggest value in -5, 0, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(1 - 2 + 0)*(-4 + 5 - 3)*(9 - 9 + 13*r) + 8*r**2 + 16 - 16.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 510187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**2 + 1221*i + 1224 = 0.\nAnswer: -1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -15*w + 2095. Calculate the highest common divisor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5041*x + 5038*x = -6, 0 = 5*j + x - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 - 201. Let x = -5.0477 + 0.0477. Let c = -3.4 + -0.6. What is the closest to -0.1 in x, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*w - 18 = 2*k - 104*w, -2*k - 2*w - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 - -2098780914625\nAnswer: 2098780914627.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 633.\nAnswer: 140\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174902 - 1813994 = -210*l + 719628. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 3*m - 19 - 376 = -f, 4*m = 4*f + 96 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 4018?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*r**2 - 89*r - 1 wrt r?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 + 48*h + 5. Determine x(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/10)\/(-2 - (-208)\/100). Let q be 2 + (12\/(-30))\/((-8)\/w). Which is smaller: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 5. Let r = 7 - t. Is 1\/3 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-42\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**3\/6 - 5*h**2\/2 - 2*h. Let a be k(7). Find the third derivative of -o**3 - a*o**2 + 0*o**2 + 0*o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8 - 51\/12)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 - 11*x + 2. Let m be r(19). What is the units digit of (m\/39)\/(1\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 7*y + 8. Let j be i(-2). Suppose -2*t - 3 = q, -j*t + 23*t + 30 = 5*q. Which is the nearest to 2\/7? (a) -0.4 (b) t (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 56 = 6*s. Let p be 2 + 12\/(-7) - (-33)\/s. Solve i + 2 - p = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 4 + (-8 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o - 1044 = 3*p, -3*p + 1406 = 4*o. Calculate the highest common divisor of o and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (407 - 366) + (-6716)\/164.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366 times -0.6?\nAnswer: 819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.02 + -3746.\nAnswer: -3760.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 13*h - 46. Suppose 4*x = x + 3*n - 21, 0 = 2*x + 3*n + 29. Let u be s(x). Is 19 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154? (a) 2 (b) 0 (c) -30327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 3*m - 2. Let j be x(-5). Let i = -53 + j. Suppose 3*a + 5*g - 25 = 0, 3*a + 20 = 5*a + i*g. Solve -4*f + 3*h - 16 = h, 3*f + 5 = a*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 542, 5236, 17946, 42680, 83446, 144252, 229106?\n\"Answer: 668*g**3 + 18*g - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*t**2 + 19*b**2 - 7*f*t**3 - 7*f*t**2 + 36*f wrt t?\nAnswer: -4*b**2*t - 21*f*t**2 - 14*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, g: 3, u: 2, r: 1, n: 6}. Give prob of picking 2 g and 2 y.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 = -2*g, 0 = -0*y - 3*y - g - 17. Let k be (2\/y)\/((-3)\/30). Factor -1 - 3*d**2 + k*d - 1 + d**2.\nAnswer: -2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 6*d**2 - d**2)*(-140694 - 13*d + 140694).\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + -1?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q + 5*c - 46 = 0, 5*c = 2*q - 32. What is the greatest common divisor of q and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + 7\/((-168)\/(-10168)). What is the greatest common factor of 47 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 52*u**2 + 166*u + 2. What is n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z + 12*z - 74*z - 11*z)*(-z**2 - 599*z + 4*z**2 + 562*z).\nAnswer: -267*z**3 + 3293*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.1 (c) -2.2 (d) 2\/27 (e) -8.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/7 - 4184*m\/7 + 164160\/7 = 0.\nAnswer: 40, 2052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2639.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 7 - -60 - (-8 - (-7 + 0))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - -5.09. Let h be 2\/30*(-15)\/6*4336\/1626. Which is the nearest to -2? (a) h (b) l (c) -5 (d) 0.071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 5*b - 3. Let o(c) = -2*c**2 - 8*c + 5. Let x(r) = -5*g(r) - 3*o(r). Let i(l) = 11*l**2 + 4*l. Determine i(s) + 3*x(s).\nAnswer: 14*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 39 + 129 = 0. Solve -15 = -3*h - 2*o, 4*h - 3*o = -7*o + c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n**2. Let l(b) be the first derivative of 2*b**3\/3 + 4. Calculate l(m(f)).\nAnswer: 200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(-7*r**2 - 4*r**2 + 86*r + 13*r**2) as b*r**2 + n*r + f and give n.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33721594591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s + 4. Let a be n(0). Let q be a\/16*15 + (-2)\/(-8). Find the common denominator of ((-27)\/q)\/(12\/(-44)) and -20\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1241, 2466, 3689, 4910?\nAnswer: 6129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*t + 7513*k**3 - 80*k**2*t + 12*k**2 + 20*k*t - 19*k - 36055*t - 1 wrt k.\nAnswer: 6*k*t + 45078*k - 160*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.056 - 5. Let l = 352956\/5 - 70592. Sort -2, l, -3, x.\nAnswer: -3, -2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = c - 37 - 22, 5*b = 25. Suppose 0 = 4*l - 4*i - c, 1 + 3 = -i. Find the first derivative of -2 - 3*s + 2 + l - 2 wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 232, -2, 2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*1.745\nAnswer: -1.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151215973 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 11, 0.4, 0.3 in decreasing order.\nAnswer: 11, 0.4, 0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**2 + v - 1. Let r(h) = -4*h**3 - 2*h**2 + 2*h - 1. Determine r(l) - 2*w(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 2*k - 2. Let w = 13 - 11. Let j(t) = t**2 + t. What is w*j(s) - g(s)?\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 0, j + 28 = -2*x + 5. Is x at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 5*b**2 + 8. Suppose 2*r + 4*f + 462 = 7*r, 278 = 3*r - 2*f. Calculate the remainder when r is divided by q(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4502*w + 369 = -4501*w. What is the greatest common factor of w and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39760003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*h**2 + 36*h**2 + 14*h**2 in the form t*h**2 + j + f*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/171 + 5\/19. Let o be (0 + 3\/51)\/(3\/6). What is the closest to q in o, -0.5, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -777 + 18128?\nAnswer: 17461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/60 + (-1)\/(-5). Let h = d - 19\/12. Let z = 39 - 197\/5. Put h, -8, -1\/10, z in ascending order.\nAnswer: -8, z, h, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/3 - 13359338*g\/3 + 146952476\/3 = 0. Calculate g.\nAnswer: 11, 6679658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 23 + 55 + (-52 - -24)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 654529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2262*v**2 + 2*v**3 - 351*v**5 + 4*v**4 + 2 - 297*v**5 + 651*v**2 + 0*v**3 + 2*v wrt v?\nAnswer: -38880*v**2 + 96*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6927 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 1 - -21*1. Suppose -2*m - 17 = -71. Let t be 1356\/m - 2\/9. Calculate the highest common factor of t and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t + 3 = 0. Let x(z) = -3*z + 5. Let f be x(t). Let c(q) = q - 12. What is the remainder when c(f) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 2*y**2 - 22*y - 118. Let l be z(-4). Let b(p) be the first derivative of 10*p + 5\/3*p**3 + 15\/2*p**l - 17. Factor b(t).\nAnswer: 5*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26127 by -2311.\nAnswer: -26127\/2311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -20*h + h + 89 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*q*w**2 - 33*l**3*q + 3*l**3*w - 39*l*w**2 + 3*l*w wrt w.\nAnswer: 4*l**3*q - 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 517446 and 414.\nAnswer: 11901258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864666*b**2 + 0 + 864668*b**2 + 0.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 345*u - 2046. What is the remainder when 2492 is divided by o(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 30464*f - 2833132. Give z(93).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104910 rounded to the nearest one thousand?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4622 (base 8) in base 10?\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:03 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 765, -2, 42, 29.\nAnswer: -2, 29, 42, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 33. Suppose 0 = 4*t + x - u, 4*t - 23 = -5*x. Which is the second smallest value? (a) t (b) 1 (c) -4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1072.9 (b) 0.4 (c) 1 (d) 3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9856.07 millimeters?\nAnswer: 9856070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 165\/23. Let y be (-770)\/(-798) - 4\/(-114). Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*g**2*x - g + 6*x + 1 wrt g.\nAnswer: 354*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 67048767 to the nearest 100000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 190, 379, 568?\n\"Answer: 189*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1615194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1814186.04?\nAnswer: 725674.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1339459 less than 73122?\nAnswer: 73121.8660541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.3, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49142520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-14)\/3 + (-24 - -29))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 46*y**2 - 2*y + 1. Suppose -4*l - 6*n - 182 = -7*n, 0 = 3*l - 5*n + 128. Let a be o(l). Solve -95*j = -a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/261471 or 0?\nAnswer: 22\/261471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l + 3*r, -3*l - 2*r - 1 + 7 = 0. Suppose 11 = x - l*b, b - 25 = -2*x + 2. Suppose -3*z = -53 - x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/120 - 2*x**5\/15 - 5*x**4\/12 - 3*x**3\/2 + 2*x**2. Is y(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) -3 (d) -0.1 (e) 2.0733\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 smaller than 474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36, 15, -1754.\nAnswer: -1754, 3, 15, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 366585*a. Let v(q) = 192*q + 2. Give v(t(g)).\nAnswer: 70384320*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*i - 4*i - 656 = 0, 0 = -5*k - 2*i + 644. Differentiate 2*j**3 - 2*j**4 - 19 + 0*j**4 - k + 38 wrt j.\nAnswer: -8*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u**2 + 12*u - 24. Let a(h) = -h**2 - 1. Let z(n) = -6*a(n) + c(n). Find s such that z(s) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 3*g**2 + 6*g - 6. Is x(5) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*h - 8*h + 80, -7*r + 92 = 4*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -20, 3, -3, 2 in decreasing order.\nAnswer: 3, 2, 0, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18412 divided by 1?\nAnswer: 18412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99088602*b*j**3 + 45080*j**3 - 409*j wrt b?\nAnswer: 99088602*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -42*t**2 - 3456*t - 32. Let k(c) = 4*c**2 + 324*c + 3. Let h(a) = 3*b(a) + 32*k(a). Let x(r) = 67*r - 3*r + 73*r. Determine x(h(i)).\nAnswer: 274*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6528 * 0.2.\nAnswer: -0.73056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1217132, 2434258, 3651384, 4868510?\n\"Answer: 1217126*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 72.3914\nAnswer: -36.1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -14) + -8 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (4 + sqrt(176) + 0) - (-5 + 1 + sqrt(176)))*-4)**2 - ((sqrt(1331)*3*-4)**2 + ((sqrt(1331) - (sqrt(1331) + 0))*-2)**2).\nAnswer: -188848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(245)*2 + 3 + sqrt(245)*-1 + -2) + 3 + sqrt(245) + -2 + -6*(2 + sqrt(245)))**2.\nAnswer: 2618*sqrt(5) + 29934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:50 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91561, 366561, 824895, 1466563, 2291565, 3299901, 4491571?\nAnswer: 5866575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bc5 (base 13) in base 2?\nAnswer: 11101101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-14)\/5)*20\/6. Solve 2*g**2 + 5*g + 0*g + 5*g - o*g + 8 - 4*g = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2747798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33030, 33031, 33032, 33033?\n\"Answer: u + 33029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:41 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y - 4. Let q(v) = -v**3 - 4*v**2 - v - 2. Let h be q(y). Solve -h*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*(-6)\/8*-2. Let x be 24\/p + 44\/20. Suppose -2*f - 5*m = -21, -x*f + 9 = f - m. Solve -s = 1 + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 16*z - 16. Let c(x) = -5*x + 5. What is -7*c(g) - 2*j(g)?\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**6\/15 + 3*s**5\/5 + 2*s**4 + 8*s**3\/3 + 4*s - 7. Let k(h) be the first derivative of x(h). Solve k(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -35*n**3 - n**2 + 2*n + 2. Let p be g(-1). Let u = p - 16. Let y(l) = -l**2 + 14*l - 13. Calculate the lowest common multiple of y(11) and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -713\/8 + 89. Let v = 11\/38 - 243\/19. Let u = v - -171\/14. Which is the closest to 1? (a) 1 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110611\/30 + -3688. What is the common denominator of q and 1\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 422741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 9*v**2 + 23*v + 63. Let r be n(-7). Let q(o) = 3*o + 3 + 3 + 5 + r - 9. Let a(g) = g**2 - 4*g + 2. Let i be a(4). Calculate q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*u**2 - 753*u**2 + 313*u**2 + 10*u**4 + 6*u + 39*u**5 wrt u?\nAnswer: 2340*u**2 + 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25412 and 5.9908.\nAnswer: -25406.0092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y - 2*k - 58 = 0, -4*y = 3*k - 49. Suppose -y*x - 716670 = -34*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54250.04 millilitres in litres?\nAnswer: 54.25004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9720, -9946, -10322, -10848, -11524, -12350, -13326?\n\"Answer: -75*z**2 - z - 9644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*z - 2*m, -20*z = -24*z - 2*m - 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -8, d = -3*q - 89. Let w = d - -223. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83371.7 kilograms in grams?\nAnswer: 83371700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341763 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:43 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d = 36*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89954433 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -155723*c - 622869. Calculate v(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 25, 4*y - 4*g - 996 + 956 = 0. Let o be 5 + 2\/(1\/(-1)). Suppose -4*x + x - 6 = 0. Sort x, y, o.\nAnswer: x, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41507 is divided by 13831.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3148391\nAnswer: 3\/3148391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1. Suppose k - 3*j + 18 = 4*k, 4*j - 25 = -5*k. Let i(b) = -4*b + 1023 + 7*b - 516 - 513. Give k*i(f) - 6*h(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**3 - 11*z**3 + 56*z**3 - 105*z**3.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-126)\/568 - 36\/1278. Let s = -7.08 - -0.08. Which is the nearest to 0? (a) u (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b6c - -c?\nAnswer: 6b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -81 + -10 + ((15 - 14) + -3 + -8 - -35)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -108. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -13*r**2. Let s be (9\/9)\/((1\/(-5))\/(-1)). Let p(d) = s*d**2 + 3*d**2 - 5*d**2 - 4*d**2. Determine p(k(z)).\nAnswer: -169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -6329?\nAnswer: -6329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1139938)\/(-235)*(1 - 6\/(-4)).\nAnswer: 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than or equal to 24\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 0 - 1\/75*r**6 - 7\/5*r**4 + 11\/50*r**5 - 32\/5*r**2 + 64\/15*r**3 - 40*r. Let b(u) = 0. Calculate u.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -3) + (-1 - -2). Let d = -88 - -88. Suppose t - 5*c - 22 = 48, d = x*c + 10. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + -3 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y - 4 = 0. Let t(j) = -3 + 23250*j - 23250*j - 8*j**2. Let n(x) = -1. Let d(z) = y*t(z) + 4*n(z). Calculate d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122 (base 4) to base 12.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -509304*f. Let t(y) = 20*y. Determine t(i(g)).\nAnswer: -10186080*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 8*q - 5. Let k be n(9). Find the second derivative of -2*h**k - 4*h**4 + 4*h + 2*h**4 wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 4 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -294765887, -294765885, -294765883, -294765881, -294765879, -294765877?\n\"Answer: 2*h - 294765889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -30*d + 2746. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**5 + 85*u**3 - 180*u**2 + 100*u = 0?\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 161?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*i**2 - 30*i + 30*i + 1876*i**2.\nAnswer: 2504*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-6)*2 + 7\/10*10. Solve -2*v - 3 = 5*w - z*v, 3*v + 2 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3203 - 3192. Calculate the remainder when 119\/4 - (-2)\/8 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5139.998115 - 5140. Round a to 5 dps.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 6. Calculate the remainder when 30 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.39101 and -1.405.\nAnswer: -3.79601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4165 - -10125. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -52, -55?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 4*u + 1. Let q be p(-3). Suppose 12*a = -a + 46085. Suppose n - 3*g - 698 = -0*g, -a = -5*n + q*g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -3.06. Let p = 0.0495 - -209.2505. Let k = p + -210. Put 2\/7, x, k in increasing order.\nAnswer: x, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207900 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbmmmmmmmmm. Give prob of picking 1 b and 2 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*l = 1916 - 250 + 750 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/240 - 43*z**4\/24 + 1849*z**3\/6 + 21*z**2 + 3. Solve d(g) = 0.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-120)*21 - (1 + (-84)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*l**3 - 3*l**2 - 2*l**2 + 47*l**3 - 43 - l**2 - 88 wrt l.\nAnswer: 21*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16652828*w**3 + 11343475*w?\nAnswer: -99916968*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2240 - -4769. Calculate the lowest common multiple of a and 3.\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4899, 9839, 14779, 19719?\n\"Answer: 4940*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-245)*(-6)\/((-216)\/(-63)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g + 2. Let o be v(0). Let z be (-6)\/(0 - o) - 1. Let i(u) = -2 + z + 15*u - 22*u. Let j(m) = -m**2. Give i(j(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 31*r + 3*r + 32*r - 88, -b + 18 = -5*r + 48 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 14 = y. Let z = -401 - -216. Let o = z + 185. Solve o = f - 5*w + y + 11, 4*w - 14 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 802? (a) 0.4 (b) 0.2 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 599, 886, 1171, 1454?\nAnswer: 1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1423 - -11?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10112 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 938, 1239, 1650, 2177, 2826, 3603, 4514?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 589965?\nAnswer: 10619370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*j + 42063012 = 0, -5*s - 56083984 = -s + 4*j. What is s rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*u - 22885 + 119897 = 0 for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d + 177. Let l be g(-24). Suppose -2*a = -1715 + l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5\/805096 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 = 2*x - 89. Suppose 3*i - 5*v = 305, -v = -5*i - 3*v + x. List the prime factors of i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*t - 358 - 2817 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120203077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -54*b**2 + b - 35. Let a be y(8). Let x(u) = 40*u**3 - 3*u**2 - 3. Let v be x(5). Let m = a + v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 2)\/((-1)\/(-822)*-3). Let j = i - 142. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14763788.\nAnswer: 2, 13, 97, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 - 0.4. Let t = 5.813 + 0.107. Let w = t + -0.92. What is the biggest value in v, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71534978 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 715424, 1431003, 2146582, 2862161, 3577740, 4293319?\n\"Answer: 715579*t - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/42 and 125\/14742.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 168 and 2527\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csse when four letters picked without replacement from jjjcjsjeecsjjjjesj.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. What is the remainder when (-6)\/3 - (-20 - c) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*0.03.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -286*d + 1551. Give c(5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60163 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2329 is divided by 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-7 + 10 + -14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let x = -42 + 40. Which is the biggest value? (a) k (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/260 and -17\/4667.\nAnswer: 93340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5 = -5*v + 4*v, -3*l - 20 = 4*v. Suppose l = 3*k + 2*y - 1685 - 233, 10 = 5*y. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5692*f - 1625. Is l(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36*(-4)\/(-36)*6. Let k = 28 - g. Let x(n) = n**3 - 5*n**2 + n + 2. Determine x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61314712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-596)*288\/(-5). Let a = 2\/149 + l. Let y = 27 - 26.7. What is the fourth biggest value in 1.1, a, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 10*y**3 - 156*y + 1 - 13*y**3 + 0 + 157*y. What is n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 37\/2*h**3 - 11\/60*h**6 + 0 + 0*h**4 + 0*h + 1\/12*h**5 + 22*h**2. Find the first derivative of j(b) wrt b.\nAnswer: -66*b**2 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 27*r**2 - 15*r - 18. Let n be f(-13). Let u(g) be the second derivative of -2*g**3 + 0*g**2 - 1\/3*g**4 + 0 - n*g. Solve u(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -0.17, -4 in decreasing order.\nAnswer: -0.17, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24538, -30060, -35582?\n\"Answer: -5522*w - 19016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose 0*c + 2*j = 4*c, c + 4*j = 0. Let d = z + c. Which is bigger: 2\/3 or d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-668148)\/(-37118))\/(-6) + 4 + -1. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 + (8 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/16 and -11\/1708.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11577\/10 or -1159?\nAnswer: -1159","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 0 + 5 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -0.1 (c) 0.005 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, b: 9, w: 2, o: 1}. Give prob of sequence wo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/104 and -93\/130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -0.2, -60\/23, -0.1, -3.\nAnswer: -3, -60\/23, -0.21, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1658 (base 13) to base 15.\nAnswer: e8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101212 (base 3) to base 14.\nAnswer: c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9662041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*u - 4*u - 17, -2*u = 3*h - 10. Solve -q - 4*r = 13, 0 = -4*r + 3*r - h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*b)*(-3*b + 5*b + b) + b**2 + 0 + 0 + (0*b - 2*b + 4*b)*(b + 2*b - 5*b) - 4*b - b**2 + 4*b + (4 + 2 - 5)*(309734*b - 309734*b - 670*b**2).\nAnswer: -680*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Find the third derivative of 1 + n**i - 3*n**3 - 1 + 5*n**3 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 27 = 4*k. Let a be 11\/4 - k\/(-4). Solve -5*f = -7*l + a*l + 35, -l + 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 788.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.58 + -9. Let l = z + 0.419932. Let i = l - 0. Round i to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405873521.\nAnswer: 17, 23874913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - -5 - (-5 - 5 - (-10 + 14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 43*o**2 + 44*o - 169. Let x be d(-41). Let v = -12499\/9 + x. Let 0 - v*z + 1\/9*z**2 + 1\/9*z**3 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-10) - -2)*475\/190?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21084, -42167, -63252, -84339, -105428, -126519, -147612?\nAnswer: -168707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1827 and -10\/3.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + f = -f. Suppose f = 15*a - 14*a - 97. Calculate the remainder when a is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-656)\/(151 + -110) + 16\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3379, 3507, 3635?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*g - 23, 0 = 4*g - 2*g - i - 7. Suppose -g*t - 25 = -10*t. Find the second derivative of -5*q**t + 6*q - 4*q**5 - 3*q + 4*q**5 wrt q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 57*u + 1. Let k(x) be the second derivative of 5*x**3\/6 + 4302*x. Determine k(c(t)).\nAnswer: 285*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18 and -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000228579 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -1. Let k be (-539)\/(-605) + (-4)\/5. Let i be (-2)\/(-6)*(-4 - -3). What is the closest to -0.1 in k, l, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7*d**2 - 5 + 4 + 7.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (1 - -1))*10\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673?\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.012576 rounded to 1 dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 1. Let j(b) = b - 55*b**2 + 18*b**2 + b**3 + 24*b**2 - 15. Let s(y) = -4*i(y) - j(y). Give s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -197, -198, -199, -200?\n\"Answer: -x - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7615 (base 10) in base 15?\nAnswer: -23ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*w - 415 = 2*q, -4*q = 2*w + 810. Let f = q - -219. What is the highest common divisor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140353842, 140353845, 140353848?\nAnswer: 140353851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263320, 1053244, 2369788, 4212958, 6582760, 9479200, 12902284?\nAnswer: 16852018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -178353 divided by -3\nAnswer: 59451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 4 (c) 2\/11 (d) -1\/9 (e) 8336993\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 483311683 to the power of 1\/3, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1260 divided by 45\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**11*m*m*m**21\/m*m*(m**(-1\/2)*m)**(-17\/3) assuming m is positive.\nAnswer: m**(187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 6*i - 40 = 11*i, 8 = -2*m - i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.9 + 0.0593.\nAnswer: -41.8407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*h + 4 = 0, 5*n + 0*n - 3*h = 20. Factor 6 - v**2 + v**4 + 28*v**2 - 15*v**3 - 21*v + 2*v**n.\nAnswer: 3*(v - 2)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w + 38. Does 32 divide o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - g + 3. Let l be r(0). Suppose 0*n - 4 = -4*n + 2*i, -l*n - 3*i = 6. List the prime factors of (38 - 9)*(1 - n).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) 72 (b) -3 (c) 4 (d) -2 (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579506173 is divided by 2048.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -13*y + 10*y. Let o = y + 10. Suppose 0 = -3*i - 3*n + 393, o*i - i - 545 = 3*n. List the prime factors of i.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*s + 172 = 45*s + 772 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -37. What is the closest to 1 in -0.1, -5\/3, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/8 - 156\/26. Let w = -0.2 + -0.9. What is the second smallest value in -0.3, w, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 27*t + 9 + 1 - 32*t. Let x be p(5). Let n = x - -13. What is the smallest value in n, -0.4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5703+-54.0705736\nAnswer: 5648.9294264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 - -2?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 27 = -3*n. Suppose 20 = -4*j - 3*y - y, n = 4*j - 3*y - 1. List the prime factors of (-3)\/(-2)*416\/12 - j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18\/11)\/d*d)\/d)\/d**(-1\/10) assuming d is positive.\nAnswer: d**(-279\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b. Suppose 2*f + 0*f = b. Suppose 5*i - 3*k - 5 = 0, 7*i = 3*i - 4*k + 4. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825 divided by -1.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.91 - 0.09. Let x = 10.2 + a. Is 0 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2623 = 5*k - 7021. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20844 - -44182. What are the prime factors of y?\nAnswer: 2, 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-8)\/(-3). Let k(o) be the first derivative of 3*o**2\/2 - 6*o - 9. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b + 15. Suppose 7*c - 52 = -6*c. Suppose -3*g - 4*w = 19, 19 = c*w + 35. Sort g, b, -0.6 in increasing order.\nAnswer: b, g, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v + 63 = -182 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:26 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4872 = 6*d - 0*d. Let f be 10\/(-145) + 1071\/d. Let l = 0.02 - 3.02. What is the closest to f in l, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42352270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 31 = -h + 4*t, 0 = 2*h + 5*t - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2834168*s - 2834219*s + 1122 = 0 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102049495 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -185, -643, -1545, -3041, -5281?\nAnswer: -8415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose -47*d + 56*d - 90 = l. Solve 0 = -o - d + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 5*u**2 + 3*u - 9. Calculate r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -6 - (-150)\/33. Let m = c - 76\/99. Let y = 0.2 - 0.1. What is the third smallest value in y, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18046369, 18046367, 18046365, 18046363, 18046361, 18046359?\n\"Answer: -2*v + 18046371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -326, -0.0017, -33 in decreasing order.\nAnswer: -0.0017, -33, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*v**4 - 1456*v**3 - 492*v**2 + 656*v - 112 = 0. What is v?\nAnswer: -7, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 24*n + 3*n)*(-6*n**2 + 0*n**2 + 5*n**2 + 5) to the form w*n + s*n**3 + d + o*n**2 and give w.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2242 and 18658.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 + 1344*c**4 + 114232*c**3 + 224448*c**2 + 111556*c.\nAnswer: 4*c*(c + 1)**2*(c + 167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23870 and 1155?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -19*v**2 - 3*v + 3. Let p(d) = 969*d**2 + 152*d - 152. Let z = -2742 + 2739. Calculate z*p(h) - 152*l(h).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 5. Let d be l(6). Let y be (2 + d)*-2 - -5. Suppose 3*x - 3*n - 7 - 5 = 0, -y*x + 26 = 4*n. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15224\/1038*240\/(-2860)?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2. Let m(y) be the third derivative of y**4\/12 + 4*y**2. Determine v(m(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27610 is divided by 157?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g - 45. Let l = -14 + g. Let a = l - -11. Solve a*r - 20 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 28949\/8151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*f + 2, -419*f + 422*f - 8 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 461 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {p: 1, b: 1, r: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + (2 - (-11 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, b: 5, r: 4, z: 5}. What is prob of sequence zbz?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5388*h**2 + 13190.\nAnswer: 10776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -478 * 1585.34\nAnswer: -757792.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 127725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 7:54 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*f - 24 - 43 + (-4 + 3 - 1)*(4*f - 3*f - 2*f))*(4 - 1 - 9).\nAnswer: -30*f + 402","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -72.0182. What is v rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57645 or -58263?\nAnswer: -57645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(21)\/sqrt(3) + 2*(sqrt(7) + 0))*-5.\nAnswer: -15*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-2\/11)*y*y*y\/(y\/(y\/(y\/y**(1\/12)*y*y)*y)))**(-9\/4) assuming y is positive.\nAnswer: y**(-1293\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y**2 - 72. Calculate x(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {l: 7, t: 3, g: 3, v: 5, m: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -136*m + 145*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1703805377 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342758 and 6292.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17 = 1. Let s be 13 + 3\/j*-4. Let b = s + 15. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46067\/30 - -1536. Find the common denominator of 43\/165 and f.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118777820 take away 4?\nAnswer: -118777824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29185 * 2.\nAnswer: -58370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 27, 29, 31, 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l. Let i(j) = j**2 + 4*j**2 - 4*j**2. Determine i(f(s)).\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3756097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28824403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*(-4)\/6. Suppose 4*z = -n - 61, 7 = 5*z + 4*n + 86. What is the units digit of ((-9)\/z)\/(k\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*i - 72. Suppose -i*c + 4*c = 0. Suppose 0*u - u - 3*l + 53 = c, -4*l + 108 = 2*u. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1330\/13 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -72. Let f = 247 + p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 200 = 3*o, -3*o = 3*v - 273 + 75. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/6, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1842489 less than -36.25?\nAnswer: 1842452.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 8*d + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 4*f**5\/5 + f**3\/2 + 6*f. What is the second derivative of y(g) wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/11, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m - 2*m - 9*m - 11. Let y be o(7). Solve -6 + 0 = y*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54419287*s**3 - 2*s**2 + 41457706?\nAnswer: -326515722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 1 + 1 + (-1 + 3 - 1)*(56 - 25*p - 56) in the form o + a*p and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 equal to 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8256.669 years?\nAnswer: 82.56669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 1. Let v(r) be the second derivative of -r**4\/12 + r**2\/2 + 17*r. Let m(x) = 5*u(x) + 5*v(x). Find the second derivative of m(f) wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 106*v**3 - 6*v**2 + 7*v - 1. Give m(1).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*b - 4*q - 46, 3*b + 2*q = 38. Let h(j) = -j**3 - 10*j**2 - 3*j - 8. What is the least common multiple of h(-10) and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-1)\/(-1) + -3). What is the lowest common multiple of (1 - -1)*5*k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 385.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - 386*m + 2. Let j(c) = 2*c. Determine j(w(a)).\nAnswer: 6*a**2 - 772*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + -2 + sqrt(63) + sqrt(7) + -4 + (-2 + sqrt(7) + 0)**2 + sqrt(56)\/(sqrt(16)\/sqrt(2))).\nAnswer: 6*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-27) - 1)*49\/(-98)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.67 and -3.69?\nAnswer: 13.5423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u + 6. Let d be o(-4). Factor -d*v**3 + 301*v**2 - 306*v**2 - 3*v**3.\nAnswer: -5*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 142, 381, 704, 1105, 1578?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)\/(a\/(a\/(a**3*a))))\/(a**(-2\/11))**(-38) assuming a is positive.\nAnswer: a**(-251\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -23*s + 26*s. Let z = s - 0. Let p be -5*4*27\/z. What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7485*g**2*w**2 - 6*w**2 - 2*w + 17 wrt g.\nAnswer: 14970*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l + 59. Let r be i(11). Suppose r = -b - j, 2*b = b - 4*j - 286. Let q be b\/(-60) + (-1)\/10. Solve -3 = g, 3*g = q*m - 6*m - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12741656 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/175*20\/6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 15, -3, 1, -3035, 6, 2 in decreasing order.\nAnswer: 15, 6, 2, 1, -3, -6, -3035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -40*g**2 - 9735*g - 236520 = 0.\nAnswer: -216, -219\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4207 and 1253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (3 - 1)*2. Suppose -k + 14 = o. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p - 2*p. Let h be (-2)\/((-13)\/p + -3). Solve 0*i**h - i**3 + 4*i**4 - i**5 - 7*i**4 - i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**5\/70 - 4*y**4\/7 - 17*y**3\/7 - 9*y**2\/2 + 41. Let s(n) be the second derivative of p(n). Factor s(c).\nAnswer: 6*(c - 17)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761921 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32081, 31775, 30847, 28985, 25877, 21211?\nAnswer: 14675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olovdulouvoullluolu. Give prob of sequence vllu.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 7*f + 7. Let v be y(-8). Which is the closest to v? (a) -0.1 (b) -14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17416.637 - 4145.6.\nAnswer: 13271.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doy when three letters picked without replacement from {d: 2, y: 4, o: 1, k: 4, n: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 437*d + 30 - 22*d - 21 - 9 as y*d + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.1, -2719.1, -2, -1\/12 in ascending order.\nAnswer: -2719.1, -2, -0.1, -1\/12, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, -10, 0, 33.\nAnswer: -10, -5, 0, 1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(-3 + sqrt(176)) + 0)**2 + -1.\nAnswer: -32*sqrt(11) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 58638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (588\/(-27))\/(50\/(-225)). Let l be (-4)\/14 + (13 - 1246\/q). Let x be (0 - 2\/(-399)) + 0. Is x <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 6*o + 178 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - h**4 + 0*h**4 - h**2 - h**4 + h**2 + (-2*h**2 + 2*h**2 + 2*h**3)*(4*h - 3*h - 9*h) as u*h**3 + y*h + n*h**2 + o*h**4 + t and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 12 - (-27 - 15 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 789325, 3157295, 7103911, 12629173, 19733081, 28415635?\n\"Answer: 789323*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2112, 1989, 1862, 1731, 1596?\n\"Answer: -2*p**2 - 117*p + 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 2*x - 0*x - 20, -4*h - 5*x - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1057643323*t + 0 - 528821664*t - 528821657*t - 3 + 3.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 371300 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -34.5?\nAnswer: -34.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/207 and 49\/573712.\nAnswer: 5163408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 12, -u - 2*s + 1 = 9. Let v(c) = c + 1. Suppose 4*i = -0*i. Let l(q) = i*q - q - 2*q - 3 + 0*q. Calculate u*l(m) - 5*v(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 0 (c) -1 (d) -201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-291)\/(-12) - 2\/8. Suppose -5*m + d = -2*b + 132, 4*b = 2*m + 40. Is (-1)\/((-1)\/(-2)) - m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))\/w)\/(w**(2\/9)*w*w)*(w\/w**(-6\/7))\/(w\/(w\/(w\/((w*w**(-4))\/w*w)*w))) assuming w is positive.\nAnswer: w**(-275\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162124988 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1668 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394727?\nAnswer: 394727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*0\/(-1). Let n = 0.1 - 0.6. Which is the closest to -1? (a) m (b) -2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2545*y + 26533. Calculate o(-10).\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0 + 1\/1785*d**7 - 27*d - d**2 - 1\/102*d**5 + 0*d**3 - 1\/510*d**6 + 1\/34*d**4. Solve t(l) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3399 take away 32073992?\nAnswer: -32077391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 234 = -3*i - 56, -3*u = -i + 54. Suppose -i = 3*m - 390. Suppose 8*a - m - 370 = 0. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - -31363\nAnswer: 31362.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/11)\/((-240)\/(-1320))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5937.\nAnswer: 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 - -1097\/5. Which is the third biggest value? (a) m (b) -27 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -0.9 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(12152\/11594) + 45.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(4\/4*-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1568 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from malmmaelllk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 4*k + 23. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478713 is divided by 574?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 5*i + 5. Let x be d(-6). Let t(c) = -c**2 + 11*c + 8. Let f be t(0). Let o(v) = -v**3 + 8*v**2 - v + 7. Let b be o(f). Is b smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 102\/8 - 2\/(-8). Suppose 0 = p - i - 27. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8660 less than -141.5?\nAnswer: -8801.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 121180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3572713?\nAnswer: 29, 349, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66077875*w + 66077873*w = -4*p + 4, 0 = -3*w + 5*p - 8 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 21972517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470321860 divided by 1.\nAnswer: -470321860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 3743\/168?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3945898*p*z**2 - 387*z**2 - 407*z wrt p.\nAnswer: -3945898*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*o - 95*o - 244 = 0. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231654202 a multiple of 1082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*k**2*s - 30*s - 2 with respect to k.\nAnswer: -34*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2122120 (base 3) to base 9\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((448\/35)\/8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -823 - -1597. What is the lowest common multiple of z and 16?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.4 (c) -1 (d) 0.15 (e) -0.09 (f) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43016, 85974, 128938, 171908, 214884, 257866?\n\"Answer: 3*t**2 + 42949*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2627 - -2599. Let y be (-12)\/(((-12)\/86)\/(-3)). Let h = z - y. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 4. Let z(m) = -5*m - 11. Suppose -4*b + t + 35 = -2*b, -4*t - 12 = 0. Suppose -3*u - b = -u. Determine u*d(x) - 3*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u + 26. Let m = -1808 + 1811. Let r(z) = 2*z + 9. Give m*a(b) - 8*r(b).\nAnswer: 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ppapppoxpppxoppo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 526*t**2. Let h(y) = -y. Determine h(g(b)).\nAnswer: -526*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65863 is divided by 13006?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-10 - (-15 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 5*x + 245 - 253, -7 = -4*r + 3*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -357*a**5\/20 + a**4\/12 - 1211*a**2\/2 - 103*a. Differentiate i(q) with respect to q.\nAnswer: -1071*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-22)*c)\/c)**(-27\/7) assuming c is positive.\nAnswer: c**(594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613614091?\nAnswer: 109, 14803799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 65. Give j(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/35*-7)\/(-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3963 - -39509\/10. What is the common denominator of q and ((-435)\/27)\/(-5) - 1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 - (2 + 1) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -1. Suppose -12*l = -2732 - 604. Suppose s = -5*a + 485, 77*a = 80*a - 2*s - l. Calculate the remainder when a is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19162*x - 38 = -19160*x + 4*v, 2*v = -16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 744.8 + -780. What is the biggest value in c, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*j - 22, -4*j + 2 = -3*f + 6. Suppose 0 = -5*s - f*q + 22435, -4*s + 17948 = -0*s + 3*q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -j - 84, j = -3*h - 22 - 41. Let u be 4*(j\/2)\/3. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p - 15. List the prime factors of g(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11 = -u, -3*s + 4*u - 27 = -82. Sort s, -98, 2, 4 in decreasing order.\nAnswer: s, 4, 2, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63436264*t + 135506449 wrt t.\nAnswer: 63436264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y. Let k(h) = -3*h**2 + 1. Let x be k(-1). Let p(s) = -s + 2. Let b(j) = 6*j - 4 + 8*j - 10*j - 3. Let w(m) = x*b(m) - 7*p(m). What is w(t(v))?\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 2700*i - 2696.\nAnswer: -4*(i - 674)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhjhpnwhjjjph. What is prob of sequence wppn?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47058566 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/135 and -107\/2590?\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -5 (c) 23.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k + 0*k**2 + 277*k**4 - 297*k**4 + 0*k**2 wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sufsfufu. What is prob of sequence suuf?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 20 = 3*x. Let d(q) = 7*q - 67. Let j be d(10). Which is the smallest value? (a) j (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*b + 80*b - 1596*b - 401*b.\nAnswer: -2226*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -4 (b) -2 (c) -2\/15 (d) -319 (e) 1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9. Let n be 1 - (-3 + 4 + m). Calculate the remainder when ((-62)\/(-6)*3)\/n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 2, -49, -198 in descending order.\nAnswer: 2, -1, -6, -49, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*j - 145 = 0, 4*j + 23 = 3*r - 36. Calculate the remainder when 97 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**(-7)\/(d**(-3)\/(d\/(d*d**(-5\/2))*d)))\/((d**8\/(d\/d**(-7)))\/((d\/d**(-5))\/d*d**(-8))) assuming d is positive.\nAnswer: d**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*i - 2)*(-7*i + i + 3*i)*(-3*i + 2*i**2 + 3*i).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -39*q**2. Let s be (-2)\/(-4) + 11\/(-22). Let n(u) be the first derivative of -7 - 7 + u**2 - 3 + s*u**2. Determine n(t(f)).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*c + 2285 = 445 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/81 - 20\/24 and -103\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 10. Let m be g(-7). Let u be (21\/28)\/((-1)\/m). Suppose u*f = -2*a - 10, 14 + 1 = f - 3*a. Solve 6 = -2*q - f*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a factor of 6092163040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*t = -332 + 740. Solve -3*v - t = -4*r, 10*r + 4*v + 26 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -5*g + 0*g**2 + 0 - 1\/12*g**4 + 1\/3*g**3. Find the second derivative of z(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 11055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37268790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.026 - 108. Let j = -0.076 + n. Let y = 2.98 + j. What is y rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (-3)\/2*2. Suppose j - 4 = 5*w. Let d be -3 + 5 + 2 + w. Solve -2*s = -d + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -17, 68, 227, 484, 863, 1388, 2083?\n\"Answer: 4*z**3 + z**2 + 4*z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let a = -4 + 9\/2. Put 2, h, a in descending order.\nAnswer: 2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14124 (base 6) to base 9.\nAnswer: -3027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + -1*sqrt(68)\/sqrt(4) + (sqrt(2057)*1 - sqrt(2057)) + sqrt(17) - (sqrt(612)*1 + -3))**2 + 0.\nAnswer: -1736 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e54c4 (base 15) to base 13.\nAnswer: -1c5a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 10 + 4 - ((7 - 3) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 m when four letters picked without replacement from {s: 2, z: 1, m: 2, i: 14}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + 2*l**3 + (-3*l + 3*l - 12*l)*(32 + 2*l**2 - 32) - 53*l**2 + 9*l**3 + 53*l**2.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 27, -3 in increasing order.\nAnswer: -3, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5616 and 18288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*v - 1467990*a**2 - 408923*v - 1 with respect to v.\nAnswer: a**2 - 408923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 6*n**2 + 8*n + 1. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -648 - -651. Let l be 12\/(-9)*s\/12*-12. Solve -3*o + l*o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976457679 to the power of 1\/3, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t = 6 + 138 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 4*b - 471. Give j(0).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 - 3781*x**4 - 4842831*x**3 - 2195197011*x**2 - 119794702356*x + 798846265980 = 0. What is x?\nAnswer: -1239, -70, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51198748 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 203611.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -201055.1 to the nearest 1000.\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1677 - 1027 - 5164 - 1203)*(3 - 2 - 4*n + 5*n).\nAnswer: -5717*n - 5717","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - a = 10, -b + a = 4*a - 3. Let o = 521\/4 - 131. Let i = -1\/50 - -11\/50. What is the third smallest value in b, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2 (b) 5 (c) -1.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753293*t**3 + 602414 wrt t.\nAnswer: -2259879*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3135)\/(-760) + (-34)\/16 + 2. Let j be -4 + 40 + (-36)\/d. Let g = 202 - 121. What is the greatest common factor of g and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(-2 - 1 + 2)*(6*i + 0*i - 3*i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 52*h**3 - 84*h**2 - 100*h + 20. Let c(k) = 17*k**3 - 28*k**2 - 33*k + 7. Let m(n) = 16*c(n) - 5*g(n). Factor m(t).\nAnswer: 4*(t - 3)*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 0*p + 12*p + 4*p - 5*p - 3.\nAnswer: 5*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:27 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110 - 1100010011110000101?\nAnswer: -1100010100000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 86*c + c**2 - 4*c**2 + 75*c - 230*c + 61*c. Let d(m) = -37*m. What is z(d(q))?\nAnswer: -4107*q**2 + 296*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1090 and 91015.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 15\/2*x**3 - 7\/4*x**4 - 27\/2*x**2 + 3\/20*x**5 + 12*x + 0. Factor n(f).\nAnswer: 3*(f - 3)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -161, -7, -3, 15, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**2 - 5*f + 4. Let v(j) = -7*j**2 - 6*j + 4. Let w(m) = -6*s(m) + 5*v(m). Let g(t) = -15*t**2 + 9. What is 4*g(z) + 9*w(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -32, 5, -2 in descending order.\nAnswer: 5, -2, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/13 + -47\/78. Suppose 13*s + 1428 = 7*s. Let p = -228 - s. Which is the nearest to p? (a) 2\/5 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4)\/v)\/v)**(4\/13)\/(v\/v**(-2\/9)*v*v\/v**(-11)))**35 assuming v is positive.\nAnswer: v**(-65800\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3 - 3526*f**2 + 441025*f + 12629400 = 0.\nAnswer: -24, 155, 3395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*z + 860 = 0, 1266 = 4*v + 2*z + 416. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348\/(-2320)*6\/(-81)*12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 20. Let x = 61 + -34. What is the remainder when x is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n**3 - 1\/35*n**7 + 1\/60*n**5 + 0*n**6 + 0*n**4 + 5*n**2 + 0 + 0*n. What is the third derivative of l(s) wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 28 - 42 = 0. Let j be (-32 - (x + 5))\/(-1). What is the highest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622 + 631 - (-1 - (5 - 3) - 29).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 8) to base 9\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2 (c) -11866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 3*z**2 - 5*z + 6. Let t be f(-5). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*n - 8, 4*t - 3*t + 2*n = -4. Let q(f) be the third derivative of -f**t + 0*f - 2\/3*f**3 - 5\/24*f**4 + 0. What is the derivative of q(g) wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7303*v - 7364*v - 4575 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 4\/5, 1, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6914\/3 + 2304. Let o = -19 - -18. Which is the third biggest value? (a) o (b) 3 (c) 0.4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 6. Let x be 5\/(-15) - 19\/(-3). Let y = x + -2. Is z(y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raardrrryzdyradrxry. Give prob of picking 1 d and 1 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 10*l + 24. Let u be y(-7). Solve -u*c + 1 = -2*c, 7 = -3*m - 2*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528074541.\nAnswer: 3, 167, 351347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3777*q - q**5 - 3777*q + 9*q**4 + 28*q**2 + 2*q**4 - 32*q**3.\nAnswer: -q**2*(q - 7)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25509?\nAnswer: 3, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/2 - 171*o - 9747\/2 = 0. Calculate o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.09, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 - 2*t**2 + 7*t. List the prime factors of r(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*((-11)\/(-4))\/(128\/1536)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 + -114. Let t = -39 + 55. Let c = t - 3. Calculate the greatest common divisor of f and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 10 = -3*n, 4*n - 5 = -97*s + 92*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fej when three letters picked without replacement from {e: 2, z: 2, y: 11, f: 1, j: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*-6113673\nAnswer: -1100461.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1029 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57151 - -1105?\nAnswer: 58256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(108) - sqrt(12) - sqrt(12)) + (2*sqrt(153))\/sqrt(9) + (sqrt(170) + (5*(sqrt(170)*-2 - sqrt(170) - sqrt(170)) - sqrt(170)))\/sqrt(10).\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1094808, 1\/6 in descending order.\nAnswer: 1094808, 2\/3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204) - sqrt(204)*1))\/(sqrt(300)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3058 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x + 2*x - i, 5*x - i + 16 = 0. Suppose -2 + 7 = k, -2*w + 13 = 3*k. Which is the closest to 1? (a) x (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*q**2 + 62*q**2 - 186*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34528568 (base 9) to base 2.\nAnswer: 1000000000010111101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93279, 92897, 92515, 92133, 91751, 91369?\n\"Answer: -382*k + 93661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(700) - (1*sqrt(700) - sqrt(700))).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 14. Let j be l(-9). Let t = j + -16. Suppose -28 + t = -w. Solve 3*b + 3 = 2*q, -7*q + 3*q + w = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6382 or -6387?\nAnswer: -6387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 35498750*c**2 - 33668*c + 16. Let x(w) = -35498753*w**2 + 33659*w - 18. Let z(y) = 5*h(y) + 4*x(y). Factor z(g).\nAnswer: 2*(4213*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 166*h + 8004 = 21*h for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*b - 106*b - 210 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13776 and 163002.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16000746 and -0.1.\nAnswer: 1600074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 33*r**2 - 24*r + 29*r - 24*r.\nAnswer: -33*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98804 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 5, -182, -4 in descending order.\nAnswer: 5, -1, -4, -7, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8927 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 + 4*l**2)*(-1 + 4 - 2) - 5*l**2 + 3*l**2 + 4*l**2 + (-5*l**2 + 3*l**2 + 4*l**2)*(1 - 1 + 1) + l**2 - 3*l**2 + 0*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -2623, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/70)\/(2637\/79110).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5484 - -8.3376. Let w = 9 - b. Let v = w + -0.1. Round v to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454.5949 minutes in hours?\nAnswer: 40.909915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -11*w**2\/2 + 5*w - 1404. Let u(p) = 38*p. Give g(u(h)).\nAnswer: -418*h + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:25 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -126c5 (base 15) in base 14?\nAnswer: -1767c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 12:29 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j + 3. Let l = j + 1. Let x = 1.1 - 0.8. Sort x, 5, l in ascending order.\nAnswer: x, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-36))*(-14024)\/196336.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*a + 92*a - 398*a + 113*a + 93*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2021122 (base 3) to base 10\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 41 = -0*c - c, -y + c + 14 = 0. What is the remainder when 115 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22224*u**4 - 16*u**3 + 2*u**2 + 1073054*u wrt u?\nAnswer: 266688*u**2 - 96*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70280066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 28*p**2 + 11*p + 79. Let g be h(-8). Suppose -8*w + 4737 = -g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - -319998) + 6 + -14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 32*q**2 + 130.\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b - 66 = k - 122*b, -2*k + b = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 - 2909*l**3 - 118740*l**2 - 77868*l = 0.\nAnswer: -927, -42, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 9*x - 33. Let t be c(4). Let v be 5 + (-26)\/t + (-10888)\/(-9). Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9805 divided by -90076\nAnswer: -9805\/90076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51702, -108741, -165780?\nAnswer: -222819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19736059729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 465 divided by -6\nAnswer: -155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0888158 from 13.\nAnswer: 13.0888158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4603 = 4*h - 453. What are the prime factors of h?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 3 = 3. Suppose b = -5*f + 49 - 19. Solve -5*m + f = -9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21077662 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.64 - 2.64. Let d = 22.7 - 1.2. Let j = d - p. What is the nearest to -2\/7 in j, 0.9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -34\/3 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 1390*s**2 - 49995*s - 566190.\nAnswer: -5*(s - 233)*(s - 54)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295463147.\nAnswer: 7, 42209021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2206\/7 + 316. Let -a*o**2 - 4\/7*o**3 + 4\/7 + 6\/7*o = 0. What is o?\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001 = 1166*w - 1180*w - 49 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 - 1432*h**2 + 487*h**2 - 2022*h**2 to v + p*h + a*h**2 and give a.\nAnswer: -2959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186522682 to the power of 1\/2, to the nearest integer?\nAnswer: 56449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681083979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 + 8*b - 1 - 10*b**2 + 24*b.\nAnswer: 18*b**2 + 32*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11022631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z - 11. Let f(b) = 7*b + 6. Suppose 0 = -4*j - 5*y + 69, 16*y = -4*j + 12*y + 64. Give j*f(l) + 6*t(l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d + 41. Let h be k(-5). Suppose 2*n = -5*s + 2*s + 495, h = -2*s. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:10 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1856*l**2 - 97 - 20 + 28*l - 14 - 31*l - 157 wrt l?\nAnswer: 3712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y - 6*y)*(2 - 7 + 1)*(-4 + 4 - 2*y) + (2 - 1 - 2)*(0*y**2 + y**2 + y**2).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2467991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 111373962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - y + 24. What is the units digit of r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*j + 4784 = -2*x, 2*j = 8. Let m = -771 - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c**2 + c**3 + 47*c**2 + 5 - 5 in the form u*c**2 + t*c + p*c**3 + n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 48. Let b be g(-17). What is the lowest common multiple of 4\/(b + -8) + 752\/12 and 24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222581 is divided by 74174?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.14, -2, 31, -0.4, -4\/3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*u - 55, -5*u - 5*s = -135 + 50. What are the prime factors of 21\/u + (-126)\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46, 183\/20, 2\/5?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = m + 13, -3*m - 7 = 2*d. Sort d, -4, 5 in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4141615 is divided by 2929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 2123.\nAnswer: 19107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Let v(f) be the third derivative of 0*f**3 + 1\/24*f**4 + 0*f + c - f**2. Let q(i) = -2*i**2. Give v(q(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 + 2*q**4 - 1694*q**3 + 2*q + 32 wrt q?\nAnswer: -20*q**3 + 24*q**2 - 10164*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092 a factor of 720244976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - f**3 + 1 - 4*f**3 + 5*f - 5*f - f**3 - f**2 + f**2 + (-f**3 - 1 + 1)*(0 + 0 + 1).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7560 and 1020.\nAnswer: 128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(4\/(-3))\/(-1). Suppose 388 = v - b - 689, w*v - 4*b = 2158. Let h(p) = p - 2*p**2 + 1075 - v. Calculate h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1060 (base 8) to base 16.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 22*j - 11)*(-j + 0*j + 0*j) + 280*j**2 + 275*j**2 - 499*j**2 to b + v*j + t*j**2 and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -58*c - 8. Let h be f(6). Let v be h\/(-18) - 8\/(-36). Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (3\/2)\/(15\/10). Let j(r) = -3*r**3 + r**2 + r - 1. Let z be j(b). Factor -4\/5*o - 3\/5*o**z + 4\/5.\nAnswer: -(o + 2)*(3*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a. Let s(c) = c**2 + 22. Let v be s(a). Let x = -15 + v. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 47. Let z(b) = 2*b**3 - b**2 + 2*b. Let x be z(p). Solve -5*t + 5*k = -7 - x, t - 3*k - 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -101, -11, 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let m(g) be the second derivative of 35*g**4\/4 - 10*g. Calculate z(m(r)).\nAnswer: 210*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.89 - 31.89. Let t be (-2)\/(-2)*(-2)\/13. Sort 7, z, t in decreasing order.\nAnswer: 7, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47341*a**2*f + 47*a*f + 26*a - 9*f wrt a?\nAnswer: -94682*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/20)\/(2\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -16d5e?\nAnswer: -16d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*p - 2*p + p)*(-2 + 0 + 3) - p + p - p)*((-6 + 3 + 1)*(-2 - 3 + 6) + 14 + 0 + 4) as c*p + x and give c.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2694*s + 175828 = -69326 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1) + 44\/(-11) + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2910 - -2916.348. Let g = o + -6.4. Let k = g + 0.051999895. What is k rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 2737.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 673591667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 80576*z + 161136.\nAnswer: 4*(z + 2)*(z + 20142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5601321 to the nearest ten thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17.04 - -0.1\nAnswer: 17.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 53. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + sqrt(605) + (5*1*sqrt(605) - sqrt(605)))*-6 + 3 + (1*sqrt(605) + sqrt(605) + sqrt(605) - sqrt(605)) + -3)**2.\nAnswer: 968000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5863.874 plus 0?\nAnswer: -5863.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107 = 300*y + 366*y + 57717 for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 23 = -8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 10*o**2 + 10*o + 24. Let n be m(11). Solve z + 4*q + 4 = -3, -5*z + 2*q = n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/13)*l\/l**21 assuming l is positive.\nAnswer: l**(-256\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 0*i)*(2*i**2 + i**2 + 0*i**2) - 4*i**3 + i**3 + 0*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -111, 395, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -3*y + 3*z, -3*z + 5 = -4*y. Let i be (3\/(-14))\/(-1)*484\/66. Do i and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2336587 and -87.323181.\nAnswer: 2336499.676819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3372\/5 + -15042497\/22305. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7. Let a = f - 4. Put -0.2, -5, a in descending order.\nAnswer: -0.2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1692393986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 5:27 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 471907249 to the power of 1\/2, to the nearest integer?\nAnswer: 21723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -118515 (base 16) in base 7?\nAnswer: -12521316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5105.7 + 4709. Let r = 616 + -1065. Let s = m - r. What is s rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2290270 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -211552 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c - 3060 = -226*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7036540723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -32964300 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpppnpppnpnnjn. What is prob of picking 1 j and 2 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(sqrt(17) + sqrt(17)*1))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.9 and 616923.3592?\nAnswer: 616922.4592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(2\/4). Let s be (-5)\/q - (4 + -3). Let c be s*(-383331 + -2) - -2. Round c to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d + 44*d + 1068 = 623*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65039137381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1.7296.\nAnswer: -0.34592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p**(2\/5)\/p)))**(-3\/2)*((p**2*p*p)\/p*p)**(-4\/29) assuming p is positive.\nAnswer: p**(-167\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178020?\nAnswer: 2, 3, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(-2 + 1 + 2)*(3 - 4 + 0)*(2 + 2 - 6)*(-129 - 289 + 219)*(2*s - 2*s + 2*s).\nAnswer: 1592*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/23)\/r*r*r**(9\/2))\/(r*r\/((r**1*r)\/r))**(-2\/55) assuming r is positive.\nAnswer: r**(11697\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16689 = -1378*w + 3602 + 38963 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92812511?\nAnswer: 11, 19, 444079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**5\/8 - 99*f**4\/8 - 6*f**3 + 3501*f**2\/2 + 3432*f = 0.\nAnswer: -26, -16, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284348481 < 1284348482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -763\/8290 or -1?\nAnswer: -763\/8290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 5*x + 4. Let v = 8443 + -8447. Determine m(v).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-3) + 566\/(-1698).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182784 and 8568.\nAnswer: 548352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 45354100 to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 37815 divided by -37815\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.604 - -1.396. Suppose -4 - 1 = -v. Suppose v*k - k = -4. Which is the third biggest value? (a) n (b) k (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/27 and 89\/4140.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 - 5*l**2 + 6*l + 1. Let u be x(1). Let p(h) = 2*h**3 + 0*h**2 + 4*h - 4*h**3 - 5*h**2 + 2 - 5*h. Determine p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183 - 7*u - 183 + 3*u**2 to the form p + o*u + j*u**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -573*b**2 - 2883*b - 28. Determine r(-5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248 = 92011*v - 91449*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 65 = -104*s - 26 - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.2, -0.4, -485?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15451794, -4, 1, 5, -2 in increasing order.\nAnswer: -15451794, -4, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c. Let f(h) = 124*h**2 - 300. Determine f(m(y)).\nAnswer: 7936*y**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 185 + 247. Let y = -36 + q. What is the greatest common factor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2 - 224*j + 6272 = 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 529 and 3841.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.3. Let l = -4097 + 4101.267. Let g = 0.267 - l. What is the nearest to j in -5, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*h = 479*h + 5600. Is h greater than or equal to -799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 - -1.8. Let m = 1 + l. Which is the third smallest value? (a) m (b) -4\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 25. Let j(i) = -6*i - 8. Let x(p) be the second derivative of -13*p**3\/6 - 8*p**2 - 15*p - 15. Determine g*j(u) + 4*x(u).\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 7, s: 7, d: 2, t: 3}. Give prob of picking 1 d, 1 z, and 1 k.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.35124nm to meters.\nAnswer: 0.00000009235124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3750 and 52\/21915?\nAnswer: 5478750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -3\/7 (b) -5\/3 (c) -2 (d) 7 (e) -3.5 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.136247 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122909?\nAnswer: 3, 29, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (17 - 88 - -16) - 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 40. Suppose 0 = -5*o - 5*d + f, 2*o + 0 - 1 = 3*d. What is the remainder when 17*((-16)\/72 - 22\/(-18)) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiflgflillflfgflll. What is prob of picking 2 i and 1 g?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -628.2 + 651.2. Let t = 0 + -2. Which is the fourth smallest value? (a) t (b) 2 (c) m (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1 (b) -9 (c) -0.14 (d) -307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*s + 894*s + 5*z - 24 = 0, 0 = 2*s + 4*z - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 9. Let u(r) = -4*r - 3*r - p + 11*r. Let b(k) = 2*k - 1. Let m = 47 - 40. Give m*b(j) - 4*u(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (10 - (6 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, h: 4}. What is prob of sequence hhh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let a be y(-2). Suppose 10*f = 5*c + 11*f - 838, -678 = -4*c + a*f. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 4. Let p be y(3). Let z(c) = -c**2 - 22*c - 2. Let v be z(-9). Calculate the highest common factor of v and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 396 + 3?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + (sqrt(891) - (6*(sqrt(891) - (sqrt(891) + 3)) + sqrt(891))) + -3))**2.\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353200 = 7*t - 439753. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4922227*c**2 + 12968698 wrt c?\nAnswer: -9844454*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 1\/6*o**3 - o**2 + 1\/20*o**5 - o - 1\/3*o**4 + 0. Let n = -2 - -5. Give u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 613594*x**3 + 2*x**2 - 30*x + 198469243 wrt x.\nAnswer: 1840782*x**2 + 4*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 39 (b) -285 (c) 0.02 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + c + 2*c)*(c**2 - 3*c**2 - 3*c**2)*(1 - 9*c + 79*c - 1) to l*c**4 + y*c**2 + s*c + n + z*c**3 and give l.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*q**3 + 495*q - 283 + 117 + 166 wrt q.\nAnswer: -408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012 (base 4) in base 7?\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 - p**5\/30 - p**4\/24 - p**3 + 250*p**2. Let b be (-1)\/(0 + 4\/(-12)). Let f be h(b). Solve f*u = 3*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1193? (a) -1\/3 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -192535.\nAnswer: -1\/192535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 15*o**2 - 5*o - 3. Let r(t) = 9. Let a(g) = -5. Let z(h) = 7*a(h) + 4*r(h). Let m(u) = -b(u) - 3*z(u). Find the second derivative of m(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116277*o**3*v**2 + 10*o**3*v*w + o**3*w - 2*o**2*v**2 - 10*o**2*v*w + 2*o*v**2*w + 519*o*v wrt v.\nAnswer: 232554*o**3 - 4*o**2 + 4*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3182, 2, 1559, -4 in descending order.\nAnswer: 3182, 1559, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28450000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*-1*(3 + -2). Let x be (-1)\/4 - (-3)\/12. Solve x = 6*u - 7*u + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1693 - 32176\/19. Let p = f + 101\/133. What is the second biggest value in 2\/5, p, 2, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -496732, -1986928, -4470588, -7947712, -12418300, -17882352?\n\"Answer: -496732*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -6, -2, 18, 0, 19\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84 and -0.7.\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -14) + (347 - 347)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -4*z**3\/3 - 8*z**2 - z - 86. Calculate m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i**2 + 0*i)*(2 + 0 + i - 3).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/7 - 2*k**3\/7 + 4*k**2\/7 + 8*k\/7.\nAnswer: -k*(k - 2)*(k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1139616 divided by -63312.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 17*p + 87. Let f be n(-5). Let d be (-1)\/(f\/(-4))*-16. Let s(k) = -k**3 - 6*k**2 + 2*k. Let y be s(-3). Do y and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*((-2*x + 0*x + x)*(-3 + 6 + 0) + 2 - 2 + 2*x + (2*x - 4*x + 0*x)*(0 - 4 + 1)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 16. Let x = 43 - 36. What is the greatest common factor of x and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 18*l**2 - 28*l - 41. Is m(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.173 and -20652?\nAnswer: 20659.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q - 71. Give j(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 125 = -s. Let q = s + -10. Calculate the greatest common factor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 - 19*d**2\/2 + 17*d + 3. Let k be h(-16). What is the greatest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 490984 or 490980?\nAnswer: 490984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.256981341 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17826 and 9418070?\nAnswer: 5942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n**4 - 170*n**4 - 130*n**4 - n**4 + 3*n**4 - 4*n**4 + (3*n + n - 3*n)*(2*n**3 + n**3 - 2*n**3) to d*n + q*n**2 + j*n**4 + w + z*n**3 and give j.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 9 - 14 - 4*k - k**3 - 2*k**4 as s*k + l*k**2 + u*k**4 + z + j*k**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 4*m, 4*s - m - 2*m - 11 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54285 and 315840.\nAnswer: 3474240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 1:38 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*4\/(-3)*6. Solve x = z - 1, -4*x - 24 = -x + t*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44459 = -k + 5*n, -11*k + 16*k - 3*n - 222251 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 19*f - 64. Calculate p(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -0.043273\nAnswer: -9.043273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Suppose p = -5*o - p + 2238, 0 = 5*o - x*p - 2245. Let b = -232 + o. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -440, -703, -0.04 in descending order.\nAnswer: -0.04, -0.06, -440, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = -28*n, 5*n + 24 + 67 = 11*s - 9*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -38 + 42. What is the tens digit of (4 + (4 - -3))*a\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5 - ((16 - 26) + -1 - -12)) + 19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*s - 7. Find l such that -3*l**s - 3*l**2 + 7*l**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 43*j**2 + 3*j - 3. Let o(a) = 3*a**3 + 86*a**2 - 5*a + 5. What is 3*o(w) + 5*q(w)?\nAnswer: -w**3 + 43*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1*6*(-4 - (2 + -3)) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -34*z - 2. Let g be 48\/12 - (-41 + 0). Let y = g + -46. Let b be a(y). Calculate the greatest common divisor of b and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 10 + 21 + 30*a + 910*a)*(10*a**2 + 24*a**2 - 4*a**2).\nAnswer: 28200*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8653*w**5 - 2*w**4 + 674*w**3 + w**2 + 41027*w - 196 wrt w.\nAnswer: -519180*w**2 - 48*w + 4044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - k - 25, -3*o = -4*k - 2 - 7. Suppose 9*z = 25*z - 48. Suppose 3*y = -3*c + 24, z = 5*y - 22. Solve -d = -c*f - o, 6*f = d + 5*f + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7 - 8 + 15 + l. Let a(p) be the first derivative of 0*p + 2\/3*p**3 - 1 + 0*p**2. What is a(z(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9954200 to the nearest 100000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**8\/840 - n**4\/6 - n**3\/2 + n**2. Let b(k) be the first derivative of s(k). What is the derivative of b(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, w: 2, m: 1, e: 5}. What is prob of picking 1 j, 1 w, and 1 m?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -556, 4, -4 in decreasing order.\nAnswer: 4, -4, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*z + k, z = -0*z - k - 3. Find the common denominator of (-2)\/z - (1108\/(-168) + 3) and 29\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-8 - -2 - (-167 - -166))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from bblbbbblbbbbb.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/12 + (-42)\/(-9). Suppose 4*r - a = u, 5*u = 2*u - 15. Solve 0 = y - r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1753998.435 rounded to the nearest one thousand?\nAnswer: -1754000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**2\/t)))\/t**5 assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 4*v**2 + v**2 - 2.\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 1598390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:03 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 494, 502, 516, 536, 562, 594?\n\"Answer: 3*x**2 - x + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -4 (c) 196006 (d) -0.1 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -68.00000116. What is g rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16085778547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -69798 times 2?\nAnswer: -139596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -5*k + x, 8*x = 2*k + 10*x + 24. Let m be (2\/k)\/((-3)\/(-6)*-2). Which is the nearest to 1? (a) 6 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + -1.56. Let g = 0.4 - m. Let s = -2.1 + g. Which is the third biggest value? (a) s (b) 0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuk when three letters picked without replacement from uknxxuenuxf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a - 9?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -2 - (-2)\/(-2)*0. Solve 9*n + 3*n - 36 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 14.3575\nAnswer: 43.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from hpeshuge?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 99*r. Let x(w) = -33*w. Let c(y) = o(y) - 3*x(y). Let g(j) = 2*j - 1982. What is c(g(m))?\nAnswer: 4*m**2 - 7928*m + 3928324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -2) + -4 + -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 3. Let f(p) = -p - 7. What is -4*f(t) + 9*s(t)?\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720020403?\nAnswer: 3, 80002267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n - 2*n + (0*n + 0*n - n)*(32*n - 61 + 61) + 2*n + 2*n**2 - 2*n.\nAnswer: -31*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*s + 184 - 79 = -231 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**3 - 7*d**2 - 6*d - 6. Let j = 2329 - 2323. Let v(l) = 5*l**3 - 6*l**2 - 6*l - 5. What is j*p(o) - 7*v(o)?\nAnswer: o**3 + 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 5.9245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24079\/36141 + 5\/12047. Let s be 0 - (-4)\/(-2)*1. Let t = s + 3. Is t <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06203 - 234.\nAnswer: -233.93797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 28*z**2 + 4*z**3 - z**4 + 0 + 34*z**2 + 2*z**3 - 63*z**2 as k*z**3 + n*z**4 + w*z + h*z**2 + f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*a - 3*q - 42, 132*a + 279 = 135*a - 12*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/2, -5, 17, -43, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14393858 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322\/(-138)*2\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 3. Let s be v(-3). Let y be 1\/(-3) + 21\/s. Solve u - 8 = 4*u + 2*a, -5*u - 12 = y*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7278, -3, -1, 1, 2.4 in increasing order.\nAnswer: -3, -1, 1, 2.4, 7278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 19*g - 13. Let x be h(-10). Sort -1\/11, 1\/4, 0, x in descending order.\nAnswer: 1\/4, 0, -1\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013816 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4 = -6*k - 7 + 6, 4*u + 42*k = 39*k - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 2*k**3 - 2*k**2 + 6*k**2.\nAnswer: 4*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 8090856*t + 48545244.\nAnswer: -3*(t - 2696958)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 12*q + 28. Let g(k) = -k**2. Let y(v) = f(v) + 5*g(v). Let s be y(-14). Let u = 2 - -2. Which is the smallest value? (a) s (b) 1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15337084013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 h when four letters picked without replacement from {k: 3, m: 3, h: 7, f: 7}?\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28080 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195785655 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - z + 5*z = -31*r - 0*z + 544, 30 = 3*r + 3*z for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*h + 198. Let p = h - -51. Let i = p - 15. Solve -2*a + 4*z - 30 = 0, 3*z = i*a + a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(448) + 0 + sqrt(448) + 2*sqrt(448) + -4 - (1*-2*sqrt(448) + -4))**2.\nAnswer: -480*sqrt(7) + 80645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 239595443 to the power of 1\/2, to the nearest integer?\nAnswer: 15479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 10) in base 14?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -19. Let s = k + 5. Is 15 a factor of ((-10)\/(-2))\/(s\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12494, -12524, -12574, -12644, -12734, -12844?\nAnswer: -12974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92512\/(-28910)*(-1)\/(-6)*3*-45?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + sqrt(1573)*-1 + 4 + (-3 + sqrt(1573) + -1)**2 + (-3*(-4 + sqrt(1872)*-3 - sqrt(1872)))**2.\nAnswer: 3368*sqrt(13) + 271305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/146 and 127\/3546.\nAnswer: 258858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, l: 3}. What is prob of picking 2 l and 1 g?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 38*u**2 - u. Let l be y(-1). Suppose -7 = 16*r - l. Suppose 0 = -r*k - 24 + 46. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = m - 10, -w - 3*w + m + 14 = 0. Suppose w - 1 = -r. Let l = -5 + 1. Which is the third biggest value? (a) r (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521305 smaller than 8521305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -63, 1334.\nAnswer: -63, 1, 3, 1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-28 - -1402)*1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6195 + 6150 + 1 + 69.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:55 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127541.\nAnswer: 127541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -139*p**2 + 461*p + 67. What is the derivative of x(l) wrt l?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 8 + (24 - (-21 - -22)) + 43?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3*p**5\/5 + 3*p**4\/4 - 3*p**3 - 3*p**2\/2 + 6*p - 17. What is u in n(u) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 330*y**4 - 2*y**3 + 323*y**4 + (0*y**2 + 0*y**2 - 2*y**3)*(0 - 2*y + 0))*(-2*y + 4*y + 0*y).\nAnswer: -6*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28029, 28031, 28033, 28035, 28037?\n\"Answer: 2*w + 28027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**34\/o**(-37))**50 assuming o is positive.\nAnswer: o**3550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*o = 5*t, 5*o - 68*t - 30 = -73*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-129)\/(-258)*(56\/(-36))\/7\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 + 959130*q + 76660863075 = 0?\nAnswer: -159855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000946481558 to seven dps.\nAnswer: -0.0000946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + -2 + 5 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6 - 2*m + 18 + 6904*m**2 - 6903*m**2 + 8*m + 3*m. Determine z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 3*b. Suppose -b*y = 8, 2*p - y - 14 = y. Solve 2*k + c + 2 + 5 = 0, -p*k = 2*c + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(110)*1)\/sqrt(2) + sqrt(55))\/sqrt(11) - (sqrt(60)\/(sqrt(48) - sqrt(12)) + 5 + (sqrt(10)\/sqrt(2) - sqrt(5)))) + 1 + 2 + -1*sqrt(405))**2.\nAnswer: 32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -2362, -4972, -8534, -13048, -18514?\nAnswer: -24932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452685459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 953 + -8e72?\nAnswer: -851e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1041 and 29.\nAnswer: 30189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26708.66 milligrams to kilograms.\nAnswer: 0.02670866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/64)\/((-1)\/(-4)) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - u + 7. Determine p(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 4*m - 2*m + (-3*m + 2*m + 3*m)*(3 - 1 - 3) - 40 + 17 + 2*m + 22 in the form o + h*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 4) to base 7\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4 + 11. Let r = x + -3. Determine m, given that 6*m**2 - 2*m**2 + r*m**2 - 6*m**5 + 8*m**3 - 2*m - 4*m**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2952, 12474, 28352, 50586, 79176, 114122, 155424?\n\"Answer: 3178*b**2 - 12*b - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210992*a**4 - a**2 - 572*a + 8 wrt a.\nAnswer: 5063808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 2010?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/135*18\/(-4). Suppose -119*b + 114*b = 15, -4*s + 24 = -4*b. Suppose y - 3*n - 3\/5*n**s + 12\/5*n**2 = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26020 divided by -4.\nAnswer: -6505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717283 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.122 + -33.878. Let p = q - -33.5. Let w be (-2 + 3)*(-1)\/(-5). What is the nearest to -0.02 in w, p, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17631, -141029, -475973, -1128237, -2203595, -3807821?\nAnswer: -6046689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -442 + 445. Suppose l*b + 25 = -5*n, -3*n - 15 = 5*b - 7*b. Factor -4\/5*j**3 + 8\/5*j**5 + 0 + b*j**2 + 0*j + 14\/5*j**4.\nAnswer: 2*j**3*(j + 2)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.8. What is the nearest to u in -2, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97945, 97943, 97941, 97939?\nAnswer: 97937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*-0.42.\nAnswer: 33.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 1. Suppose 2*r - v = -5*d, -3*r - 5*d + 12 = -2. What are the prime factors of (-252)\/(-3) + (-1)\/r*4?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/24 - 2*c**3 - 141*c**2. Suppose -6 = -2*n + 10. Let r be x(n). Put -3, -0.3, r in decreasing order.\nAnswer: -0.3, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v**2 - 2*v + 1. Let b be -3 + 5 + (-3 - -2). What is the remainder when 31 is divided by w(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16941834 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -723, -1485, -2247, -3009, -3771?\n\"Answer: -762*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442165 is divided by 62.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.018 in -89, 0, 1, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1610, -3219, -4820, -6407, -7974, -9515, -11024?\nAnswer: -12495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3*81\/(-2). Suppose 5*i = 15, 2*u + i - r = -0*u. Suppose 16 = -3*m - 5*j + 1, 4*m = -4*j - u. Let t(x) = -x + 4. Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (3 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 6*y - 6. Let n = 24 + -36. Let l be (-51)\/6 - 6\/n. Determine v(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from pyggggygikyihhh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 35 = -9*p. Sort 88, 0, p in decreasing order.\nAnswer: 88, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1160308.02732 + 1161553.02732541. Let x = 1245 - t. Round x to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.35 - -2.349634. What is u rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 2. Suppose -4*n - 52 = -q - q, -n - 4 = 0. Calculate the remainder when b(-5) is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:03 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from {f: 3, z: 4, c: 9}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 50. Suppose 9 + o = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10159 divided by 1\nAnswer: -10159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/(h**(-1\/13)\/h))**(-16\/7)\/(h\/h**13*h)**(3\/2) assuming h is positive.\nAnswer: h**(891\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.5\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 70965 divided by 15\nAnswer: 4731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19334303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let o = 26\/69 + -166\/115. Let t = o - -2\/5. What is the closest to 0 in q, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 41*b**2 - 273*b + 18. Calculate m(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*d - 60*d + 148 + 35*d**2 - 36*d**2 wrt d?\nAnswer: -2*d - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-1 + -6))*(-4 - -9). Suppose 3*f + u*f = 5863000. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 101*w + 252. Give v(-89).\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.5, 2\/5, 1\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/3 - 22\/(-2). Let y be (3 - 0)\/(13 - f). Suppose a + 3327 = y*m, 164 = m + 2*a - 945. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2755 + -2755. Solve x = 2*m + 67 - 71 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65144039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -280*i - 1. Let u(c) = 56*c. Let y(z) = -2*o(z) - 11*u(z). Let b be y(6). Is b\/(-6) + (-12)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3670 - 1330 = -333*z - 12978 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 276929375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 19. Let f(u) = 3*u - 7. Let g be f(b). Let d = -138 - -138. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((3*sqrt(1539))**2 + -4 - sqrt(1539)) + sqrt(1539)) + 4.\nAnswer: 55392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4 + j**3 + 143*j**2 - 139*j**2 - 13*j - 5. What is p(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -w - 5*q, -4*q = 3*w + 2*w - 26. Calculate the lowest common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766454 is divided by 4562.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0501 + 0.0501. Which is the closest to 8? (a) -2 (b) f (c) 3 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 3*h - 11. Give o(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + (2 - 34))*-2 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 17. What is the nearest to 0.1 in s, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 4 + 3 - 5 + 4*u. What is the remainder when m(10) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**9\/19656 + q**8\/2184 - 2*q**7\/1365 + q**6\/585 - q**3\/3 - 4*q. Let c(i) be the second derivative of g(i). Factor c(l).\nAnswer: -2*l**2*(l - 2)**2*(l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*n + n - 3*s, s = 2*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134175.\nAnswer: 3, 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 155?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-27)\/6*2*(95050\/(-23770) - -4) and -57\/2.\nAnswer: 4754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5064185 divided by -35?\nAnswer: -144691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22449 + 50139. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 9. Let v be z(14). Suppose 4*g = 2*g - 4, -4*g + 17 = v*y. Calculate the remainder when 19 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6636247991579 - 0.3.\nAnswer: -0.9636247991579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 4*a**2 + 4*a + 3. Let t be k(-3). Let g = 4 - t. Let u(y) = -y**2 + 6*y + 9. Let x be u(7). Solve -g*j = -x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*s - 3*l, -5*l = s + 2 - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21132 (base 16) in base 11?\nAnswer: 92869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*z + 1984*z - 483*z - 496*z - 499*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 55*k - 270. Let a be l(5). Solve 0 = -2*d - 2*b - 12, -b = -d - a*b - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5218, 5200, 5162, 5098, 5002, 4868, 4690?\nAnswer: 4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 44*p = -9146. Calculate the remainder when p is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 14 = 3*x + w, 2*x + 4*w = -12. Suppose z - 8 = 8. Suppose -x*l + z = -0*l. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -749, -1507, -2287, -3101, -3961, -4879?\nAnswer: -5867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0*x + 2*x - 3*x + 7. Suppose -5*y + 31 = -19. Suppose r + r = y. Give i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 966699 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/11, 280, 0.2, 4, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8602 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12069?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 9, 41, 95, 171?\n\"Answer: 11*c**2 - 23*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-14)*-2*((-24640)\/550)\/(-32)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyfy when four letters picked without replacement from yffffffttyyftttfyftf?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5205)\/1388)\/((-2)\/((-7 - -3)*4))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*y + 70, -2*y + 0*x = 3*x + 8. Let b = y + 32. Let f(c) = -39*c**3 + 3*c**2 + 2*c + 1. Calculate the remainder when f(-1) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13475 by 539.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 7*b**2 - 4*b**2)*(40 - 52 - 689*b**2 + 12).\nAnswer: 5512*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 22*p - 65. Suppose -2*n = 6, g - 4*g = -n - 30. Solve -1 = p*t + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 - -2?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*a**6 - 140010*a**5 - 4*a**2 + 54856*a.\nAnswer: 2760*a**3 - 8400600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*k**2 + 0*k + 0 - 1\/4*k**4 + 0*k**3 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1022, 3046, 9828, 19330, 31558, 46518, 64216, 84658?\nAnswer: 107850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -410, -1651, -3722, -6629, -10378, -14975?\n\"Answer: -l**3 - 409*l**2 - 7*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7712.607 tonnes?\nAnswer: 7712607000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -18, -15, -12, -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-2*n - 3 + 3) + 0*n + 0*n - n + 23 + 10 - 32 - 21*n.\nAnswer: -20*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4002)\/(-1288) - (-24)\/(-84)*-4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from appawowwaaapw?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/658 and 40\/9541.\nAnswer: 19082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31813 = q - 5*i, 4*i + 4 = 3*i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - y + 17 = 0, -4*z + 0*z + 5*y - 37 = 0. Let k = z - -11. Suppose p - k = -0. Solve p = -5*g - 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309009133 divided by -9419.\nAnswer: -32807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t**2 + 41*t**2 + 31*t**2 + 35*t**2 + 38*t**2 - 192*t**2 + 30.\nAnswer: -6*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 47*n**2 + 80*n + 244. What is the remainder when b(-49) is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Suppose 5*a = 3 + 2. Let k be a + -2 + 5 + 1. Put s, k, 4 in decreasing order.\nAnswer: k, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r + 11. Let s be p(6). Let o = 2 + s. Let w = o + 46. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 2*g, -5*g - i - 48 = -43. Suppose 2*n + 3*z + 9 = 7, 2*n + 4*z + 4 = g. Solve -p = 1, 5*t + 8 = 2*t - n*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*2)\/(sqrt(9) - -3*sqrt(9)*-4).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 14.\nAnswer: 0, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 68 - 1 = 0. Suppose n = 5*q - 4*p - 43, 3*q - 34 = p. Calculate the remainder when 28 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4694385599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 + q**3\/6 + 10*q**2 - 8*q. Calculate the remainder when o(0) is divided by (-3*1\/(-9))\/((-12)\/(-396)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3462321, 3, 7, -1 in increasing order.\nAnswer: -3462321, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39038, -39033, -39016, -38981, -38922, -38833, -38708?\nAnswer: -38541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/19, 5, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16748684.\nAnswer: 2, 59, 70969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7084002 and 183923.\nAnswer: 219604062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 34*o**2 - 62*o + 81. Differentiate u(x) with respect to x.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 + (0 - -6). Let z(q) = -4*q**3 + i*q**2 - 2 + 4 - q**3 + 7*q + 4*q**3. What are the prime factors of z(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*k - 2*k - 24, -4*p - 3*k - 22 = 0. Let n = p - -35. Let m = -24 - -35. Calculate the remainder when n is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**0)\/b*b)**(-1\/6))**(-50)\/((b*b*b**(2\/11)*b)\/b**(3\/5)*b**(-5)\/(b**(1\/5)*b)) assuming b is positive.\nAnswer: b**(1972\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 10 + 10)*(2*m + 2*m - 3*m) + (-2*m + m - m)*(-m - 3*m + 3*m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n**2)*(-3*n**3 + 5*n**3 + n**3) - 21*n + 15*n**5 + 21*n.\nAnswer: 21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a2e5e + -2a8?\nAnswer: -a3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + -31. Let j = -144 - -291. Let p = j + t. What is the greatest common factor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 19*u**2 - 7*u - 148. Let v be y(-19). Put v, -3, 2, -2 in ascending order.\nAnswer: v, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693823 and 11554?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29612 + -48427?\nAnswer: -78039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgvykvkgvggk. Give prob of sequence rg.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.7, 11.\nAnswer: -4, -0.7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 0)*2\/588. Let y = -143\/294 + h. Which is the nearest to -14\/9? (a) y (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/6))**(3\/4))**(-2\/19) assuming d is positive.\nAnswer: d**(-5\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -841352, -1682703, -2524054, -3365405, -4206756?\n\"Answer: -841351*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 + 370. Let a = 32.444 + -0.244. Let r = g - a. Round r to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b + 12. Let n be v(4). Suppose 5*h + n + 27 = 0. Which is bigger: -16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 400. Let u(k) = 43*k - 473. Calculate the remainder when x is divided by u(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 + 36*z - 26. Let q be w(-8). Calculate the greatest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3613*p + 2814 = 3479*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 5*r**2 - 7*r - 7. Let o = 1 - 6. Let x be g(o). Find the third derivative of -3*s**2 + x*s + 2*s**6 - 28*s + 2*s**6 wrt s.\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9008 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 23, 0.28, 3, -2\/15, 2\/561 in descending order.\nAnswer: 23, 3, 0.3, 0.28, 2\/561, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/52*15*6\/135?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55934481, -55934484, -55934489, -55934496, -55934505, -55934516, -55934529?\nAnswer: -55934544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 544113511 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(7650\/(-384)) + (-20)\/(-170).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 17 = 2*y + 2, 0 = -4*y + 4*n + 36. Let w be (-72)\/(-16)*(-8)\/y. Calculate the remainder when 9 is divided by (-30)\/(-4)*(-4)\/w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 334992 and 4040064.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/487?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2676\/37 + 8471686\/117105. Calculate the common denominator of c and -41\/633.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3030 - 3030 - 40*s**2)*(2*s**2 - 3 + 3) - 2808 + 51*s**4 + 2808 to j + w*s**3 + z*s**4 + p*s + v*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*(8\/(-7))\/(-2). Suppose 4*n = 3*b + 35 - 3, -3*b - g*n = -8. Let l(u) = u + 7. Determine l(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/15? (a) 77 (b) -0.54 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/60 - 7*z**4\/12 + 22*z**3\/3 + 3*z**2. Let u be c(9). Let m be (u\/2)\/(11\/(-22)). Solve 4*i + m = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 120. Let w = 69 + u. Suppose 0 = 5*y - 2*g - 125, -4*y - w + 69 = 5*g. Are y and 23 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 20*i**2 + 167*i + 1740. What is a(-10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -875247.\nAnswer: 87524.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336590924 and 3404?\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4 + u**3 - 3*u**2 - 330*u. Let o(y) = 11*y**2 - 5*y + 5. Give 5*f(v) + 6*o(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 8*s + 47 - 50 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 20. Let z be (-6)\/k - 268\/(-96). Let b = z - 11\/3. Sort 5, b, 1.\nAnswer: b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 4. Let z = 67 + -69. Let r be p(z). Calculate the common denominator of r\/6 + (-435)\/(-630) and 17\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2)*(b*b*(b*b*((b**(-1\/7)*b)\/b)\/b)\/b*b*b)\/b*b*(b\/(b*b**0))**(-16\/7) assuming b is positive.\nAnswer: b**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**17\/x))\/((x*(x*x**(-9\/5))\/x*x)\/x)*(x**5)**(-1\/27) assuming x is positive.\nAnswer: x**(-1942\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -397311 + 397311. Factor 1\/5*k**3 - 12\/5*k - 1\/5*k**2 + g.\nAnswer: k*(k - 4)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.5 - 5.5. Let g = v - 15.83. Let o = 2.1700103 - g. Round o to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345245329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 2880 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: What are the prime factors of 3359951969?\nAnswer: 11, 1429, 213751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcmm when four letters picked without replacement from cccccmcccm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - -186893 - (-2)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(51))\/sqrt(3) + sqrt(17) - -5*sqrt(170)\/sqrt(10).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 68. Let x = q + -7. What is the remainder when 19 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 917000103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-8)\/12 - -8. What is the greatest common factor of 40 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3127, -3339, -3669, -4099, -4611, -5187?\n\"Answer: 3*d**3 - 77*d**2 - 2*d - 3051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 79 = -22*x. Let b = 75 + -52. Suppose -7*g**x - 15*g**2 + 2*g**4 + 20 - 3*g + 23*g - b*g**3 + 3*g**3 = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2142*g + 554*g**4 - 1488*g**4 - 9239*g + 650*g - 821*g**4 wrt g?\nAnswer: -21060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/12 + x**3\/2 + 5*x**2\/2 + 4*x. Let c be f(-5). Let q be c*(-4)\/6*-19100. Round q to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 1917614.\nAnswer: -1917614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:44 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4566 + 4567. What is the second smallest value in -2, -2\/11, l, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 21680*a + 1118685.\nAnswer: -5*(a - 51)*(a + 4387)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)\/sqrt(2) + (-2*sqrt(3500) - sqrt(35)))\/(((sqrt(225) + sqrt(25))*2)\/sqrt(5)))**2.\nAnswer: 3703\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.263 times -8.6\nAnswer: -2.2618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/(-168)*3\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4459, -8859, -13263, -17671, -22083?\nAnswer: -26499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 828371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 3434\/81?\nAnswer: 3434\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*t - 20, -2*q + 4 = -q. Suppose t*x = x - 3. Find the third derivative of x*b**2 - 5*b**2 - 3*b + 3*b + b**3 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23176 and -61352.\nAnswer: 1421893952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182681 to the power of 1\/2, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6443*z - 18 = -6446*z, -2*u = -3*z - 24 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 2, s: 3, q: 6, r: 2}. Give prob of sequence rq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(320) + 1*sqrt(320) + 5 - (sqrt(320) + 1*sqrt(320)*5)) + 3 + ((sqrt(320) + 2 - sqrt(320)) + sqrt(320) + sqrt(320))*3)*-5)**2.\nAnswer: 56000*sqrt(5) + 184500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 31*n**2 - 7*n - 132. What are the prime factors of b(10)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 11:32 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (330\/16)\/(-5) - 4\/(-32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -248*t**3 - 127972*t**2 - 2061*t + 1546. Calculate d(-516).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*23\/(-828)*(-8)\/(-12).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/19))\/c**(-33)*(c*c**27*c)\/(c**(-2\/63)\/c) assuming c is positive.\nAnswer: c**(76772\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 50013*q + 50013*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15491\/13278*240\/616?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530644 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 40 = -6. Let o be ((-2)\/(-5))\/((-19)\/95) - -9. What is the first derivative of 20*l + 20*l + o - m*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 7*d**2 + 3*d + 7. Let j be (-82)\/26 - (184\/52)\/(-23). Determine u(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 12:06 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(-1\/41)\/((d**(2\/5)\/d)\/d*d)**45*(d*d*(d**(-1\/2)*d)\/d*d)**(-3\/17)*(d*(d*d\/(d**(-1\/2)\/d*d*d)*d)\/d*d)**(-14) assuming d is positive.\nAnswer: d**(-93815\/4182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = 3*t + 2*t, f + 4 = -3*t. Let a be ((-41)\/(-2))\/(f\/4). Calculate the highest common divisor of 328 and a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 - 2169*v = 0.\nAnswer: -723, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + i - 6 = 0, 2*i = 4*g + 3 - 9. Suppose -4*o = g*a - 5, 4*a + 2*o - 4*o - 14 = 0. Solve 7 = 5*j - 4*q, j + q + 1 = -a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a + a**2 - 6*a - 3 + 0 - 9*a. Let k be g(5). Suppose 0*v + v - 5 = -k*r, 0 = -2*v - r + 10. Calculate the remainder when 14 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800068*p**2 - 266656*p**2 - 266657*p**2 - 266749*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 48 (c) 9774 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*k - 10 = 0, 7*h - 8 = 3*h - 5*k. Suppose 0 = -3*g - 4*f + 128, 2*f + 4 = -h*f. Calculate the remainder when 305 is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(9\/((-252)\/(-8))). Suppose -c*g - 5*x + 15 = -11*g, -4*g + x = 3. Solve g*t + 20 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let l(n) = 6*n - 4. Let q = 290 + -289. What is q*l(z) + 3*t(z)?\nAnswer: 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**5\/5 + 13836*l**4\/5 + 18436*l**3\/5 + 6144*l**2\/5 = 0 for l.\nAnswer: -1536, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:03 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40451040 (base 6) to base 15\nAnswer: 17ceb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 12*m - 30. Is 3 a factor of ((m - 15) + 0)*(1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 9.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3627 by 279.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q + 9*q + 28*q - 77*q + 38 + 22*q.\nAnswer: 4*q + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 28. Let j = r + -45. Calculate the least common multiple of 2 and 6\/j + (-11)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57832998 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 210822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7835, 34400, 79703, 143744, 226523, 328040?\nAnswer: 448295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 30 = 2*d, 769*d + 5*p - 10 = 772*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 30 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2004 and 692716.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.386 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) -0.1 (c) 115 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*w - 5*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18630 + 18630 - 8*o**3 - 4*o**2 + 4*o**2 + 20*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -46*q + 9. Let z(a) = -43*a + 11. Let r(n) = 7*m(n) - 6*z(n). Let d(g) = -2*g. Give d(r(b)).\nAnswer: 128*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 1*sqrt(252)*4 + 3)**2*6*-3.\nAnswer: 13824*sqrt(7) + 291456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 290*n**2. Let g be (16\/12)\/(-1)*-3. Suppose 0 - 12 = -g*w. Let c be j(w). Round c to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*m - 2 = -17, -12 = q + 4*m. Suppose -4*p = -4 - q. Suppose 4 = 2*v + 5*b + 3, -v + 2*b = 13. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/4 + 7*j**3\/3 - j**2 - 8*j + 7. Let z be a(-7). Suppose z*i = 70 + 56. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {a: 2, w: 1, v: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:36 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*h + 166*h - 47855 = 0. Is h a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 7 + 21 = -2*w, 0*m - 69*m + w = -68*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75 and -0.04099.\nAnswer: -75.04099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/3)\/(6\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3308 - 3308 + f**4 + 3*f**3)*(-500 + 500 - 10*f).\nAnswer: -10*f**5 - 30*f**4 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 10*z**2 - 170*z - 579. What is l(20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*j**2 + 202*j**2 + 193*j**2 + 196*j**2 - 816*j**2.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 30. Let h = z - -31. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 - 9 = -3*j, 4*i - j + 3 = 0. Let q = i - -2. Let l(z) = -z**2 + z. What is l(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyyg when four letters picked without replacement from ygyygggygygy?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -7. Let f(n) = 8*n - n**2 + n**3 - 3*n - 1 - 4*n**2 - m. Give f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -12, -29, -42, -45, -32, 3, 66?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 75*w - 40*w - 23*w - 5*w - 11*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4518*q**3 + 22*q - 1546 wrt q.\nAnswer: -27108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 - 2*f**2 - 6*f. Let a be u(6). Suppose -2*j = -6*j + a. What are the prime factors of (-1)\/(2 - j\/66)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**3*p + 9*f**3 + 17*f**2*p**3 + f*p**3 + 2*f*p**2 + 2*f - 252*p**3 wrt f.\nAnswer: 48*f*p + 54*f + 34*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 1 in ascending order.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 8*n + 2 - 5 - 12*n**5 + 1 wrt n?\nAnswer: -240*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q. Suppose -3*d + t + 7 = q, d - 2*t = -2*d + 8. Suppose 3*b - d*f = 16 + 11, -2*b = -2*f - 18. Solve -k + b = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22112140 (base 5) to base 16.\nAnswer: 2ec39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 17 = -4*j - 34, 5*b = -3*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/m**(-21))\/m)*m**(-4\/9) assuming m is positive.\nAnswer: m**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 5) to base 2.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194910, 8, 1 in descending order.\nAnswer: 8, 1, -194910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*c = -21, -c + 0*c = 4*n - 42. Let g(u) = u**3 - 12*u**2 + 13*u - 12. What are the prime factors of g(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 46*b - 53. Let r(v) be the second derivative of 22*v**3\/3 - 26*v**2 - 4*v + 9. Let x(i) = -4*r(i) + 3*t(i). Differentiate x(h) wrt h.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/17 - 774856*z**3\/17 - 75050227592*z**2\/17.\nAnswer: -2*z**2*(z + 193714)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2796658 times -75?\nAnswer: 209749350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2867614 and -420.\nAnswer: -1204397880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = 0, 70 = p - a. Let n be (9 - 1)*7\/(p\/345). What is the greatest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 1702012170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 4138. Let u(w) = -7*w - 4142. Give 6*l(k) + 5*u(k).\nAnswer: k + 4118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 27*m**2 + 9*m - 43. Calculate the remainder when 181 is divided by q(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**14\/(w\/(w\/(w**(-1\/3)*w))) assuming w is positive.\nAnswer: w**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -61d960 (base 16) in base 11?\nAnswer: -368aa03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 12*h - 1. Let l be t(-4). Let c(m) = -3*m + 3. Let f be c(-6). Let x = l + f. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -15\/86?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 2. Determine g(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/105*9\/(-12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21790 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10516000 to the nearest 100000.\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4, 23*f = -4*w + 24*f + 11. Calculate the highest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1795, -1760, -1701, -1618, -1511, -1380, -1225?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8506*k**3*l**3 - 538*k**2*l**3 + 2*k*l**3 wrt k?\nAnswer: -51036*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45\/497 - 1266\/2485. Sort 22.6, z, -1\/4.\nAnswer: z, -1\/4, 22.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 181. Let n = i - -98. Solve 2*f - 2*v - n = 0, v + 13 = f - 2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:17 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-63)*56\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 - 6 = -2*f, -2*b + 3*f = 3. Let t be 5\/3 - b\/(-9). Is (-3 - -1) + t + 221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + -71 + (-1 - -1 - (-9 - -56)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxddddppppxp. Give prob of sequence pxd.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 45 + 43*j + 43 - 19*j - 15*j.\nAnswer: -10*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - 0) + (-20)\/10. Suppose -o - l*o + 32 = 0. Solve -5*s = o*g + 1 - 0, -5*g + 2*s + 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m**5 + 6*m**3 + 2*m**3 - 25*m**2 - 4*m**3 - 10*m**5 wrt m?\nAnswer: -120*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8195 divided by -1.\nAnswer: 8195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 17*b**8 + b**4 - 7*b**2\/2 + 709*b. Find the third derivative of p(d) wrt d.\nAnswer: 114240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/3*3\/2. Let z(d) = -2*d**2 + 2*d. Let n(h) = -h. Let v(y) = b*z(y) - 8*n(y). Let f(r) = r**2. Give v(f(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 900595531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27018 and 38.\nAnswer: 27018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000 - 111?\nAnswer: -1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -1, 0, -29969?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815702?\nAnswer: 2, 37, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29833*d*n*u**2 + 4*d*n*u - 9*d*n + 71*d*u**2 - 2*d*u - 8544*n*u + 4*u wrt u?\nAnswer: -59666*d*n + 142*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3\/2, 5\/4, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*(f\/((f**(-5\/2)\/f*f)\/f))\/f*f*f)**(-1\/2))**(-1\/10))**36 assuming f is positive.\nAnswer: f**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/(-3 - 208\/(-70)). Let i(h) = -h**3 + 3*h**2 - 2*h + 1. Let o(v) = 4*v**2 - 2*v**3 - 1 - 5*v + 3 + 3*v**2. Calculate m*i(z) + 6*o(z).\nAnswer: 2*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23799782 less than -1?\nAnswer: 23799781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 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: Is 2.058 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9283 (base 15) in base 6?\nAnswer: -355140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d = 2*p + 2433, 0 = -3*p - 3*d + 2433. Suppose -1432 - p = -m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l**2 + 1. Let z be n(5). Let p(j) be the first derivative of 2\/5*j**2 - z - 3\/5*j - 1\/15*j**3. Factor p(h).\nAnswer: -(h - 3)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -142903*q + 510. Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 700101 and 58887?\nAnswer: 6300909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 18 + 46 - -25.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932*j - 2368 = 916*j. Put 8, -2, j in ascending order.\nAnswer: -2, 8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-5)\/((-45)\/(-6)). Let t = 23496 + -23683.13. Let l = t - -187. Which is the nearest to -1? (a) x (b) l (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i. Let p(y) = -181*y**2 - 9. What is p(a(t))?\nAnswer: -724*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*m**2 + 26*m**2 + 35*m**2 - 3*m + 175*m**2 + 7*m**2 wrt m?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-258)\/(-4))\/(108\/4680). Calculate the greatest common factor of x and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + j + 1. Let h be c(-1). Let r be (6\/27)\/(h\/(-18)). Factor -507*o**r + 1 - 12 - 156*o - 1.\nAnswer: -3*(13*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 182*j**2 + 1 - 214*j**3 + 181*j**2 + 0*j to the form s + y*j**2 + w*j + z*j**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 6, -2, -12, -24, -38, -54?\n\"Answer: -l**2 - 3*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 + 1 = 0, -2*q + 4*g + 18 = 0. Solve -q*k + 4*p = 0, 0 = -k - 2*p + 1 - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/8 + 2686837*v**2\/8 + 4030251*v\/4.\nAnswer: v*(v + 3)*(v + 2686834)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -759, -1516, -2273, -3030, -3787?\nAnswer: -4544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8591093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/6 - -3\/2. Let g = -2963 - -26603\/9. What is the common denominator of g and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85c79 + -2?\nAnswer: 85c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -76, 0, -1\/5, 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in -0.5, -4, 6, -3, -2770?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1418 = 81*x - 688 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/24 + 3*x**2\/2 + 3*x. Let t(q) be the first derivative of c(q). Let v(z) = 446 + 8*z - 890 + 444. What is t(v(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + o**2 - 3*o**2)*(-6*o**2 + 15*o**2 - o**2)*(-1 + 0 + 3) to the form t*o**2 + p*o**4 + m + a*o**3 + i*o and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 + (-6777)\/(-18). What is the second derivative of -u**2 + 21*u**3 + r*u - 400*u + u**2 wrt u?\nAnswer: 126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 2620408. Let h(o) = -3*o**2. What is s(h(w))?\nAnswer: -6*w**2 - 2620408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t**2 + 26*t**2 - 13*t**2 + 142*t**3 to g*t**3 + b*t**2 + p + j*t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*s + 5*s. Calculate the common denominator of 28\/24 + 1 - -3 and (33\/(-2))\/(6\/s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*(sqrt(80) + sqrt(80)*4))\/sqrt(5))\/(((-3*sqrt(24) + sqrt(24) + sqrt(24))*-5)\/sqrt(3)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 73.6*328944\nAnswer: 24210278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(13\/7)\/((h\/h**(-7\/2)*h*h)\/h)**(-8) assuming h is positive.\nAnswer: h**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314188357.\nAnswer: 7, 44884051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -369, -849, -1541, -2457, -3609?\nAnswer: -5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17687.5 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - s + 9 = 0, 6*a - 9*a = -2*s - 8. Solve 2\/7*h - 2\/7*h**a + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-270))\/((-11)\/6 - -2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634 + 1908 + 9*r - 644 - 630.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -5*y + 25, 5*y - 23 = 4*y - 4*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-40)\/(m**7\/m**(-6)))\/((m**(2\/15)\/(m\/(m\/(m**(1\/12)\/m)*m)*m))\/(m**(2\/5))**(-43)) assuming m is positive.\nAnswer: m**(-285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 5*q**2 - 9*q**2 - 228*q**3.\nAnswer: -228*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*w + 16 = 0, 5*x + 4*w + 0 = -6. Let v(k) be the first derivative of 14 - 1\/5*k**5 - 1\/9*k**6 + 0*k**x + 0*k + 0*k**3 - 1\/12*k**4. Factor v(b).\nAnswer: -b**3*(b + 1)*(2*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 991*u**2 + 980*u**2 - 1961*u**2 + 22*u**3 + 5*u**4 - 160*u + 105 + 18*u**3.\nAnswer: 5*(u - 1)**2*(u + 3)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1640*d**2*l**2 + 527*d**2*l*s + d*l**2*s + 12*d*l*s - 9*d*s - d + 2*l**2*s - 1036*s wrt d.\nAnswer: -3280*l**2 + 1054*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 + 131. Sort 2, -5, q, 5 in descending order.\nAnswer: 5, 2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 1, i: 1, t: 2, e: 1, p: 1}. Give prob of sequence phi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 138*20\/(-30)*(-1)\/2. Suppose 2*z - 3*y + 5*y = v, -y - 1 = 0. Suppose n = -z + 28. Solve -l = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012689 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7328 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-8 - 2) + -5 + 3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 167 - 165 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -2*m + 117. Solve -i + 2*i = 4*j + m, -2*i + 2*j = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3833 (base 9) to base 15\nAnswer: -cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + 7 + -6 + (-255)\/(-108) and 1\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -1407*m**5 - 224*m**2 + 1411*m**5 - 62*m**4 - 38*m**4 - 328*m**3 = 0.\nAnswer: -2, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (249\/((-93)\/(-31))*2)\/8\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10001131 - -103?\nAnswer: 10001300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009001 rounded to 4 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70117?\nAnswer: 70117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 + 7 = h, -38 = -2*h - 5*l. Solve -h = -4*p + n, -4*p - n + 8 = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*l = -35, 24 - 1 = 3*m - l. Let y be (m\/(-27))\/(-1 + 2). Let r = 0.3 - 0.8. What is the closest to -1 in y, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*l - 64119 + 514335. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -1250503414.\nAnswer: 1250503414.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1503.36*-40.1.\nAnswer: -60284.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k**2 + 5*k. Let t(p) = 39*p**2 - 18*p. Let b(m) = -5*t(m) - 18*v(m). Let c be -61*(4\/6)\/((-20)\/30). Let q(h) = 3*h + c - 61. What is q(b(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 154\/(-35))\/(4\/(-860)). Suppose k*m - 15 = 126*m. Solve -3 = -8*b + m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -554*v - 1104. Calculate the remainder when 275 is divided by o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - u = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -35*w - 2 + 1 + 1, -3*l = -3*w. Let g(a) = a + 8. Let q be g(-4). Factor 2\/5*x**3 + l*x + 0*x**2 + 0 + 2\/5*x**q.\nAnswer: 2*x**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8)*-34*1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 9*y + 2*y)*(2*y + 2 - 2).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1418, 1512, 1660, 1856, 2094, 2368?\n\"Answer: -h**3 + 33*h**2 + 2*h + 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -445, -987, -1737, -2689, -3837, -5175?\nAnswer: -6697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264.05024 + -263.7. Let j = 28.58776 + v. Let h = 29 - j. Round h to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/24 and -113\/491178?\nAnswer: 1964712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23296 and 1344.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -62.2*-2\nAnswer: 124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47933 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) -1\/3 (c) -0.4 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -q + c, 12 = -5*q + 2*c + 351. What is the lowest common multiple of q and (1 + 2)*(-7)\/(-3)?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340 + 81. Is q a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 1602*d**2 - 217035*d + 842700 = 0.\nAnswer: 4, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 23602, -3, 0.9, -0.2 in descending order.\nAnswer: 23602, 0.9, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 4, g: 5, n: 5}. What is prob of sequence gnxn?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-50)\/(-24))*5. Let o be 4\/3*s\/(-8). Suppose -26*l + 33*l = 196. Solve 0*c = 2*i - c - 12, -o*i + 5*c + l = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 38909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmgstcsmscc. Give prob of picking 1 q and 1 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -503944 + 8.\nAnswer: -503936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -649? (a) 2 (b) 0 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 18*m + 133. Determine d(-23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54\/(918\/(-119)) + (-3)\/((-6)\/482) and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + -3 + -3 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:24 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 8. Let u be b(9). Let s = 80 - -12. Let y be 4\/10 + s\/20. Put y, u, -3 in decreasing order.\nAnswer: y, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53216028 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: 574*-1\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 347*g - 175*g - 1258*g in the form p + w*g and give w.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.57 (b) 1\/5 (c) -1162 (d) -15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + n - 243, 130*h - 630 = 125*h + 5*n. Calculate the greatest common factor of 82 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -287*j - 121392. What is c(-423)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3238 + 3243. Solve 3*w + d = -0*w - k, 0 = -5*w + 2*k - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 66. Suppose -2 = -4*g - i, 3*q - 4*g - 140 = 0. Calculate the highest common factor of 40 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1505 = 1475 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 171 - 51. Suppose 13*b - 22 - l = 0. Solve -h - 8 = 4*i, 1 = -2*i - b*h - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 22*g + h = 619, g + 2*h = 160. Solve 0 = -z + 150 - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:46 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2592) + 2 + sqrt(32) + 1 + sqrt(2592).\nAnswer: 3 + 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 388578323*r - 436133252 wrt r.\nAnswer: 388578323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -103856 and 6.79 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/1*935\/(-374)*11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 130312111 (base 4) to base 5\nAnswer: 12240130","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 56, 3\/4, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -45*h + 30. Let y(p) be the first derivative of 0*p**h - 2 + 0*p**4 + p**5 + 7\/3*p**3 + 0*p. What is the third derivative of y(w) wrt w?\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 9*j + 29 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 902*l + 410. List the prime factors of r(7).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(1*sqrt(363) + -4)*-4*-4)**2.\nAnswer: -90112*sqrt(3) + 388094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47522 + -20842. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/7 + 92*v**2\/7 - 1058*v\/7 = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbl when three letters picked without replacement from looozqqqtlbq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*p**5 - 1432*p**5 - 144*p**5 - 3*p**5 - 2*p**5 + 4*p**5 + (-1 - p**4 + 1)*(-3 + p + 3).\nAnswer: -1793*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -11*z**3\/6 - z. Let m(x) = 8*x + 0*x + 2*x - 9*x. Determine a(m(f)).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 923951553 to the power of 1\/3, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from jhkfbhfffkkf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*y**2 + 39*y**2 + 25306*y - 25306*y - 149*y**2 - 2.\nAnswer: -225*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 2*w - 2. Calculate r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19379 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.68 less than -57.489?\nAnswer: -241.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21585714 and 2188.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10100111100010 (base 2) to base 7\nAnswer: 43155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, q: 4, k: 6, m: 1}. Give prob of picking 1 y, 1 k, and 2 q.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 2*v**2 + 8)*(v + 1 - 1)*(-1 - 6 + 1) to the form y*v + s*v**3 + q*v**2 + n and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 46*h**2 - 91*h - 121. Calculate v(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*n + 8, -4*n - 3*v + 103 = 94 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.89 - -0.11. Let m = w - 5. Let l = -2.95 + -0.05. What is the nearest to 3 in l, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9278 not equal to -9277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 + 123 + (3 - 3) + (2 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -18.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 49083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.319 and 0.3.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.08 - -21.0575912. Let z = i - -0.0224. What is z rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*t + 8, c - 6 = -c + 2*t. What is the remainder when 7 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003 (base 5) to base 9.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310068607?\nAnswer: 3, 7, 11, 2609, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -199\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, 4, 5504 in ascending order.\nAnswer: -1, 0, 3, 4, 5504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 minus 516?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1018.76 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -b4a0b84?\nAnswer: -b4a0b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10363 - -19184. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - (-43 + 30 + 19 + 2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*o + 0 - 8\/9*o**2 + 2\/9*o**3.\nAnswer: 2*o*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18505*z - 18505*z + z**3 - 2*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3516*j - 7314*j - 16104 = -3615*j for j.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -228, -504, -890, -1386?\n\"Answer: -55*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r**3 + 187*r**3 - 97*r**3.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = 2*a - 2, -a - 11 = -2*m. What is the third derivative of 16*x**m + 5*x**4 + 4*x**2 + 21*x**2 + x**4 wrt x?\nAnswer: 528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/214 and 23\/1672410.\nAnswer: 1672410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 11*c**4\/12 - 2*c**3\/3 - c**2. Suppose 4*q - 6*o - 27 = -o, 0 = q + 5*o + 12. What is the units digit of h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*146)\/(11 + -13). Let w = -71 + q. Factor 10\/11*k**3 + 4\/11*k - 14\/11*k**w + 0.\nAnswer: 2*k*(k - 1)*(5*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/2 - 3*x**3 + 39*x**2\/2 - 15*x.\nAnswer: -3*x*(x - 2)*(x - 1)*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, m: 2}. What is prob of picking 3 i and 1 m?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -2*b + 18 - 8*b**3 + 7\/2*b**2. Find the second derivative of g(s) wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -2180, -4932, -8814, -13844, -20040?\nAnswer: -27420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4942 - 61?\nAnswer: -49a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(((-20)\/(-10))\/(4*(-5)\/10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2259*z**3 + 2*z**2 + 2348*z**3 - 2*z**2.\nAnswer: 89*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/135606 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3300.7 + 3302.7. Which is the nearest to -1? (a) 0 (b) -15\/16 (c) m (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t*t*t\/t**(-2\/11))**(-2\/29) assuming t is positive.\nAnswer: t**(-586\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*g**3 + 3*g**3 + g + 10*g**3 in the form q*g + i + b*g**3 + z*g**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4806241 and -0.09.\nAnswer: 0.133256169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -999, -2\/11, -0.8, -186?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-500)*(-90)\/36)\/((-18)\/(-390)).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7516*-5.25\nAnswer: -39459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -1, -2, 25, -7 in increasing order.\nAnswer: -7, -2, -1, 0.7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -3751 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101 (base 4) to base 10.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -106536, -106534, -106532, -106530, -106528?\n\"Answer: 2*y - 106538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-3 - 0) + 0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 25, 0*n - 4*b + 18 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5786*m = -6997*m - 38752 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19362?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**3 - 4 - 26*i**2 - 6*i**3 + 20. Let b be w(-22). What is b rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p - 1. Let j be k(2). Let c(f) be the first derivative of -8*f**2 - 6*f + 3. Let t be c(-2). Calculate the highest common divisor of t and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/11)*p*p**(1\/2))\/(((p*((p*p**(1\/3))\/p)\/p)\/p)\/p**(2\/29)) assuming p is positive.\nAnswer: p**(3235\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1496\/(-3927) + (-44)\/(-21).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26 and ((-42)\/(-48) + 0)\/(1\/9).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4725350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -15. Let v = -22 + j. Let c = -6 - v. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 6*w - 7. Let z be k(7). Suppose 3*m - 15 + 0 = z. Let q(b) = 4*b**2 + 5*b**2 - m*b**2. Let j(i) = i**2. Determine j(q(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 71*f + 72. Determine h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 11. Let l(s) = -5*s + r*s**2 + 5*s. Let x(j) be the first derivative of 2*j**3\/3 - 1185. Give x(l(z)).\nAnswer: 392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 5*c**2 - c + 5. Let z be g(5). Suppose 2 = -j - z. Let v = j + 6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47542 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2187693 (b) -23\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237052 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*v - 702 - 2388, 2*v + 4112 = 4*p. What is the greatest common divisor of p and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8500)\/(-70))\/(-85))\/((-34)\/(-42)).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)\/(100\/25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107763641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = -4*i - 133, 2*i + 90 = -3*m. Let t be -2*-3*(-5)\/m. Solve 0 = -5*d - z, 4*d + z - t + 0 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((-5 + 2*sqrt(2057) - sqrt(2057)) + (4 + 0 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + sqrt(2057))*-6*5)**2*-6.\nAnswer: -1069200*sqrt(17) + 299926800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, -9\/2, -2\/25 in decreasing order.\nAnswer: 3, -2\/25, -9\/2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*m + 65*m + 9*m**2 + 64*m.\nAnswer: 9*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 206.475 to zero decimal places.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019064.\nAnswer: 2, 3, 42461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 4*q + 26 = 0, 0 = 4*n - 4*q + 44. Let g be 2\/4 - 590\/(-20). Suppose g = -4*y + y. Is y != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let z(o) = -2*o. Let b(c) = -7*t(c) + 2*z(c). Let i(v) = 13*v - 1. Suppose 130*d - 107*d = 207. Give d*b(r) - 2*i(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c\/c**(2\/57))))\/c*c*c\/(c*(c*c*c\/(c*c\/((c\/c**17)\/c)))\/c)*c*c**(-2\/21)*c\/c**(1\/8) assuming c is positive.\nAnswer: c**(69409\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221618.\nAnswer: 2, 29, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = -2*k, 3*q - 4*k = 4 + 17. Let y(u) = 2*u**2 - 43*u + 22. Let h be y(21). Suppose j + h = q. What is the smallest common multiple of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.06 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4251, -17171, -38713, -68883, -107687, -155131?\n\"Answer: -g**3 - 4305*g**2 + 2*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ac2d + 49a?\nAnswer: -2a793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46722 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*x + 0 + (471967 - 5176*x - 471967)*(-2 + 2 - 2).\nAnswer: 10350*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/26 and 113\/1768.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.99056034 to 4 dps.\nAnswer: 3.9906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*y + 2214, -125*y = -4*d - 127*y + 2952. Let s be 6 - (d\/45 - 11). Suppose -6\/5*h**2 + 0 - s*h**3 + 0*h = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -496*y**4 + 64*y + 4 wrt y?\nAnswer: -5952*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31421649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 950 and -776918.\nAnswer: -775968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1481*f - 299*f + 958*f in the form s*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13373 + 14.46627. Let l = 2 + -2. Which is the closest to l? (a) q (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 340.467 - 358.49. Let s = n + 18. Round s to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*s - 1)*(-s**2 - 2*s + s**2 + s**2 + (40*s + 8 - 8)*(1 - 1 - s) + 2*s**2 - 6*s**2 + 5*s**2) as o + t*s**3 + u*s**2 + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 2*i**3 + 2*i**3 - 38 + 47.\nAnswer: i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 10 = -2*c + 3*y, -4*c = 3*y - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u**2 + 159*u**2 + 409*u**2)*(-5*u**3 + 5*u - 5*u + (-2 + 2 - 2*u**2)*(-2*u + 0*u + u) - 3*u**3 + 5*u**3 + 0*u**3 + 0*u**3 - 2*u**3 + 4*u**3).\nAnswer: 556*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*r**3 + 18*r**3 + 3*r**4 + 9*r**3 + (-r + 0 + 0)*(-r**3 + 2*r**3 - 2*r**3) to i*r + f*r**3 + p*r**2 + u*r**4 + z and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 18*z - 20. Suppose -z*v = 3*j - 247, 0 = 2*v - 0*j + 2*j - 122. What is the remainder when v is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/28 - 84\/(-16). What is the biggest value in -1\/12, y, 0.2, -0.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 894?\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9522\/5 - (-14)\/(-35)*(8 - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 760\/9 - 82. Is r != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465634 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 17, x: 2}. What is prob of picking 4 v?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 6*m**5 - 20 + m**5 + 2*m - 2*m + (m**2 + 4*m**2 - 3*m**2)*(-3*m - 2*m**3 + 3*m).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q = -4416 + 3894 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85275571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 6\/7*w**7 + 0*w**2 + 0*w**4 + 0*w + 0*w**5 + 2\/3*w**3 + 0*w**6 + 6. What is the third derivative of d(z) wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(94\/1128). Let p be (14\/i)\/((-4)\/(-12)). Solve -c + p*c = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 213022122?\nAnswer: 213022123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2388 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2209 + -1614.5. Let w = 594 - z. Which is the closest to -1\/2? (a) w (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4725 = 90*f + 112*f + 113*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16330809 is divided by 578?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*f - 4, 0 = -3*o - 3*f - 2 + 5. Let v = 2 - 2. Let r = 4.6 - 5. What is the nearest to o in v, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 156. Let o = -32 - p. Let i = o + -24. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202 - 201.8. What is the nearest to d in -0.07, 2\/3, -1\/2, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -5*t**2 + 35*t - 149. Let n be g(3). Suppose -3*z + 10 = -z. Solve -z*s - 5*m = n, 5*m = 4*s + s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 4*c + 4*c + (3*c - c + 2*c)*(2*c - 2*c - 2*c) - 23*c**2 + 3*c**2 - 7*c**2.\nAnswer: -31*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.684, -112298, 2 in descending order.\nAnswer: 2, 0.684, -112298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -49, -10.3, 0 in ascending order.\nAnswer: -49, -10.3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 5*a - 2, 20*t - 22*t + 2 = 3*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3*n**5\/20 + n**3\/3 + n**2\/2 + 16*n. Calculate w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182940 - 91218 = -6*v. Suppose 70307 = 4*b - v. Round b to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(-4)\/((204\/(-42))\/17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 1126, 1689, 2252?\nAnswer: 2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*z, -3*m - 2*z - 2*z = 2. Let v be ((-12)\/234)\/(m\/(-6)). Let s = 23.1 - 23. Sort -11, s, v in descending order.\nAnswer: v, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222 - -222. Is -2\/1245 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 2*m**2 + 1. Let i be d(-1). Suppose -301*u - 4*g - 6 = -299*u, 0 = -3*u - 3*g. Solve -u*f = -i - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -340 - -558. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyp when four letters picked without replacement from {y: 5, p: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 82*w**2 + 2*w - 1. Let k be z(1). Suppose g = -y + 116, g - k + 419 = 3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/473 >= 33.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59252 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 37*f**2 - 112*f - 4. Calculate z(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -240957, -481951, -722945, -963939, -1204933, -1445927?\n\"Answer: -240994*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*s*u*w + 5*s*w + 151*u*w**2 - 4*u*w - 3*w**2 + 1569*w wrt u?\nAnswer: -12*s*w + 151*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:46 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 - 644336\nAnswer: -644335.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 19*u - 6. Let t(n) = -5*n**3 - n**2 + 8*n + 9. Let l be t(-1). Does 9 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 3. Let i be s(1). Suppose -y + 50 + 162 = i. Suppose -4*v = -0*v - y. Calculate the remainder when v is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 14) to base 5\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1306, 1331, 1368, 1423, 1502, 1611, 1756?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 22*p + 21. Calculate o(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 2:17 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -92. Let h = 1.13 - 0.13. What is the second smallest value in h, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a day in hours?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b**2 - 30 - 29 + 84 - 25.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.28296 litres in millilitres?\nAnswer: 23282.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6180, 6183, 6198, 6231, 6288?\n\"Answer: a**3 - 4*a + 6183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 8*j**2 + 2*j - 7. Suppose 11 = 3*w - 13. List the prime factors of z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let v(k) = -k. Let r(f) = 6*l(f) + 11*v(f). Calculate r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t = 47*t + 12. Suppose 10*z - t*z = 12. Suppose 0 = s + 2*x - 12, 0*s = -z*s - 2*x + 26. Calculate the greatest common divisor of 126 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 332995 = v, -v - 3*j = -0*j - 333015. What is v rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 16847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 = 37. Let k = q - 11. What is the second derivative of -14*o + 16*o**k - o**2 - 6*o**2 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/36*(-4)\/(-6)*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1246198, 1246172, 1246146, 1246120, 1246094, 1246068?\nAnswer: 1246042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3264 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*l - 28, 2*t - t = -3*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371525 by -33775.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -25574280 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0582247 rounded to three dps?\nAnswer: 2.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 9*k**5\/4 + 211*k**2 + 30*k. Differentiate r(s) with respect to s.\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14728*s - 103091. Let v be i(-7). Let z(f) = f**2 + f - 1. Let j(p) = -3*p**2 - 2*p - 3*p**2 - 2*p + 4. What is v*j(t) + 20*z(t)?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, 3, -97.\nAnswer: -97, -22, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + 0*f**4 + 2 - 1 - f**4 - f to the form p*f + m + h*f**3 + z*f**2 + u*f**4 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4356 and 2244.\nAnswer: 74052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1020\/(-7 + -3))\/((-1)\/(-2)). Let v = p - -208. Solve -v*n = -2*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -562, -3412, -8592, -16108, -25966, -38172, -52732?\n\"Answer: -n**3 - 1159*n**2 + 634*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18151*h + 1. Let x(t) = t**2. Determine o(x(u)).\nAnswer: 18151*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 80.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9392 and 12.\nAnswer: 28176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 663*a**3*h*j**3 + 2*a**3*h*j - a**2*h*j**3 - a**2*h - 2*a**2*j**3 + 52*a*j**3 wrt a.\nAnswer: 3978*h*j**3 + 12*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (178889484\/(-342))\/(8\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.2036484.\nAnswer: -0.08145936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2009)\/82*(-12)\/(-14)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 8*b**2 + 4. Let a be 0 + (-3)\/((-12)\/(-32)). Let d be n(a). Sort -34, d, -2 in increasing order.\nAnswer: -34, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 8*u**2 - 7*u - 30. Let o be j(6). Suppose 2*n + 7 + 11 = 4*t, 4*t = -5*n + 11. Suppose -5*c + 6*c = 0. Solve w - t + c = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -121798163 and -85710.\nAnswer: -121883873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-468)\/130)\/(54\/(-225)). Solve -2*s + 18 = -5*f, -2*f = -5*f - 3*s - d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4130508 is divided by 5713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39*5\/60 + 3\/4. Let c(j) = -39*j - 51. Let s(v) = 38*v + 50. Let i(k) = l*c(k) + 5*s(k). Differentiate i(d) wrt d.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*l**3 - 168*l**3 - 945*l**5 + 176*l - 328*l**2 + 940*l**2 + 953*l**5 - 342*l**4 = 0. What is l?\nAnswer: -2, -1\/4, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4*(-90)\/(-75)*(-8976)\/792?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*-1*sqrt(1573) - sqrt(1573))**2 - (sqrt(1573) - -3*-3*sqrt(1573)))*-3*2.\nAnswer: -151008 - 2112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-117 + (27 - -98) - (-1 + 69 + -1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/15120 + b**6\/96 - 23*b**5\/360 - 9*b**4\/8 + 5*b**2 + 9*b. Let l(n) be the second derivative of x(n). Solve l(q) = 0.\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzqhhzqfhhhhhzh. What is prob of sequence qf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 4*w - 3. Let j be f(2). Let q be 72\/20 - (-4)\/10. Suppose u = 5*y + 27, 4*u = -u + 3*y + 25. Solve -z = -u*z - 5*h - j, 2*h = -q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38218 is divided by 279.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s, -2 - 4 = -2*p - 3*s. Solve 8 = -p*f - 2*g, -2*f - 9*g - 10 = -10*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62421.64ug to kilograms.\nAnswer: 0.00006242164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 16*j**2 + 3*j - 23. Let n be f(16). Solve 3*x + 2*x + n = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 1\/120*g**5 + 1\/24*g**4 + 0*g + 0 + 0*g**3 + 5*g**2 - 1\/240*g**6. Find o such that j(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6282 = -20*f + 10678. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, b: 1, s: 4, c: 1, a: 2}. What is prob of picking 1 b, 1 s, and 1 a?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 16*d**2 - 21*d + 4. Let a be (5 - 42\/4)*-2. Let s(h) = 3*h**2 - 4*h + 1. Determine a*s(w) - 2*i(w).\nAnswer: w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 + (37984\/36)\/4 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 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 j(t) = -5*t**2 + 8*t + 4*t**2 - 8 + 3*t. Let i be j(9). Solve -b + h = i, -4*b = h + h + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**4 - 60144*m**3 + 120332*m**2 + 421080*m + 240608 = 0.\nAnswer: -15038, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6835\/287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 3*s**2 - 4*s + 6. What is z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 109 - 39 = -35 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 5. Let t = 0.4 - d. Let c = -0.4 + 0.5. What is the nearest to -1 in t, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.2, -4, -245, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6760)\/(-390)*6\/(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Is -1 - (g + -9 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.13 (b) -0.1 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 + (-978)\/(-15). Let i = k - -154. Is 36 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-24) + 9\/12. Suppose 7*d + 5*d - 6864 = s. List the prime factors of d.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75889223 is divided by 4233.\nAnswer: 4232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4, -5*z + 10 = 4*d - 14. Let i(b) = b**2 - 6*b - 10. Let n be i(z). Suppose 0 = -5*f + 4*f. Solve n*m - 4*m = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y - 14*y - 4*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0806 minus -0.3?\nAnswer: 0.3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*b - 22. Let z be b*7\/(-28)*-8. Solve -2*h = h + v - 4, 5*v + z = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146514 is divided by 149?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19594, 29674, 39754, 49834, 59914?\nAnswer: 69994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -10*l**2 - 352*l - 56. Differentiate k(b) with respect to b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 - 5. Let d be (-12)\/15 + 42\/15. Suppose -d*g = 3*y + 3*g - 8, -3*y + 2*g = 20. What is c(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 3240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 12*r**3 - 23*r**3 + 34*r**3 - 11*r**3.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 11) to base 5\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 + 123*g + 735. Give h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2855305um to millimeters.\nAnswer: 0.0002855305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143\/(-44)*(1 + -29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727 a factor of 63119142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 201*i**2 + 4473*i - 33075 = 0.\nAnswer: 21, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*b - 448*b = -1200 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 20. Solve -w*s + 0*s + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75453674 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6024 and 760.\nAnswer: 572280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -20, -17, -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(-a + 2 - 2)*(-10*a - 14*a**2 + 0*a - a) to the form y*a + t*a**3 + w*a**2 + m and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4198*q**3 + 2772*q**3 - 331*q**2 + 331*q**2.\nAnswer: 6970*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsy when three letters picked without replacement from rrclzlzlyrrs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let m(u) = -112*u**2 - 2. Calculate r(m(v)).\nAnswer: 12544*v**4 + 448*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 129. Let s be l(-34). Let c = 212 + s. Solve c = 5*u - x, -4*u + 3 = x - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 5*q**2 + 2*q. Let w be i(5). Suppose 5*b + 12 = -2*l, -5*b - w = -l - 1. Does 4 divide ((-44)\/b)\/(0 - -2)?\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**9\/1080 - b**8\/504 - b**7\/2520 + b**6\/180 + b**5\/15 - b**2. Let r(k) be the third derivative of h(k). Factor r(p).\nAnswer: 2*(2*p - 1)**2*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139843 - -139848. Let i(o) = 10*o**2 + 18*o. Let w(l) = l + 1. Let a(t) = 4*t**2 + 11*t + 4. Let j(y) = -a(y) + 4*w(y). Give d*i(z) + 12*j(z).\nAnswer: 2*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 9 + 8 - 4*d)*(5*d**3 + 3*d**3 - 3*d**3).\nAnswer: -45*d**4 - 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6519200767 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 530481204 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25 + 1)*(-19)\/228*2733.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (34 - 1) + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30 - 25 - (-2 + 2). Solve -5*y - 27 = -h, -j*h - 1 + 36 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2926 + 204860 = 6*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 9*z + 25. Let h be s(-11). Solve -4 + 1 = -h*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*n + 46*n + 800 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 380 = 61*y - 104*y - 4*h, -9 - 6 = -3*h for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14046023, 1 in descending order.\nAnswer: 3, 1, -14046023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 377343225 rounded to the nearest 10000?\nAnswer: 377340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-1)*((60\/36)\/(110\/9))\/1?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 - -3. Let d = 11 + -4. Let w = 4 - d. Which is the third biggest value? (a) 0.5 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = -r - 690. Solve 9 = 3*k, 2*n = r*n - 3*k - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-43206)\/9)\/((-58)\/(-87)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*m - 35*m - 177*m**2 + 60*m to b*m + j*m**2 + s and give j.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6373\/44 or 144?\nAnswer: 6373\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 3, -13, 47 in descending order.\nAnswer: 47, 3, -13, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 21 = -4*q - 3*j, -4 = -2*j. Solve 5*a + 4*l - q = -0, -3*l - 27 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*v = 5*a - 106*v - 25, 2*a + 5*v + 19 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, r: 3, t: 2}. What is prob of sequence trt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 3*f + 1676966*f**3 - 1676999*f**3 - 4 to the form t*f**2 + d*f**3 + k*f + r and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1189 (base 12) to base 3\nAnswer: 2201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1350, 5, 4760 in ascending order.\nAnswer: 5, 1350, 4760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 6*s**2 + 2*s + 1. Let v be k(6). Let b be (2\/2)\/(2\/(-36)). Let u = b + v. Let p(x) = -x**2 - 5*x - 4. Give p(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {k: 9, e: 5, d: 2, u: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/5)\/((-386)\/(-2895))*(-6)\/(-21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87786 - -1828565. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccwwccwwcw. What is prob of picking 2 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c + 3. Let l be s(-2). Let q = l + 21. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 9.2 (b) 1\/4 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (3 - -1) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114105\/46 + -2481. Calculate the common denominator of p and -9\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6583 times -0.2?\nAnswer: -1316.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 91*x**2 - 217 + 217 - 20*x**3.\nAnswer: -20*x**3 + 91*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.246016718 to 4 dps.\nAnswer: -2.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q. Let x(d) = -d + 655523. Calculate o(x(a)).\nAnswer: 3*a - 1966569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33061*m**3 - 2*m + 258.\nAnswer: -198366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 1044*f + 159*f + 263 - 118 - 145 to v*f**2 + y*f + u + w*f**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 32*y - 6181. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 3*w - w + 4*w - 3*w - 3*w + (-3 + w + 3)*(1 - 5 + 3) + (-1 - 2*w + 1)*(2 + 0 - 3) - 3*w + 110 - 110 + (-2 + 2 + 2)*(15*w - 25*w - 56*w).\nAnswer: -135*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 5*u = 9*h + 20, -u - 3 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14 + 5 = 3*f, 0 = 5*x - f + 11. Let y be 0\/(1 + -2 + -1). Sort y, 3, x in ascending order.\nAnswer: x, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*l = 798*l - 1565*l + 429 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-4))\/((-840)\/49 - -17). Sort r, -2, 5, 167, -3 in ascending order.\nAnswer: r, -3, -2, 5, 167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1864 = -211. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 + f - 8. Let c be i(6). Let v(k) = -35*k**3 + 2*k**2 - 3*k - 3. Is v(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4742574 years in centuries?\nAnswer: 0.004742574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 4 + -4 + -189. Is -52*u*3\/24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = 13*x + 15268. Let a = x + 805. Let q = 789 + a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 252323*s - 3532571\/2.\nAnswer: (s - 7)*(s + 504653)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 - k**4\/2 + 3*k**2\/2 - 9*k. Let o be i(-6). Let c = o + -6. Let l(h) = -h**3 - 3*h**2 - 2*h - 3. What is l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 145 = 23 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1441286 and 0.187.\nAnswer: -269520.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 42?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/9 - 26*x**2\/3 + 3209. Solve b(h) = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 25 + 10)*(z + 0*z + 0*z)*(-2*z**3 + 0*z**3 + 3*z**3) + (-6*z**2 + 106*z + 114*z - 222*z)*(z**2 - 3*z**2 + 0*z**2).\nAnswer: -4*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*g + 26, 0*f - 2*g = -f - 29. Let a = 90 + f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286420606 to the power of 1\/3, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:34 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 397293.03 to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 211, 417, 611, 787, 939, 1061, 1147?\n\"Answer: -d**3 + 213*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = -3*y - 9, 0 = 2*t + 4*y + 20. Solve t*c + c + 15 = 3*f, -5*c = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838902 less than 0.6696?\nAnswer: -838901.3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926413628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = 54 - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1. Let h(x) = -2*x - 6. Let b(o) = -h(o) + 6*r(o). Let s(y) be the first derivative of 5 + 2\/3*y**3 + 0*y + 0*y**2. What is b(s(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743 + 371 + 372 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000168 to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2366 divide 64830766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.011 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -b + 7, -2*b = 3*b - 5*u - 35. Is b <= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 5, -0.18, 0.4, 54?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -25 - (-27 + 42)) + 24\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-14) - (-22)\/(-77). Solve -s = -2*v - 3 - 3, -24 = 4*s + p*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 0*v**2 - 11*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 55*s - 31. Does 27 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -l - 3, -5*r + 10 = -2*l - 2*l. Let p = -3 - l. Solve w - 1 = 5*t, -3*t + w + p*w + 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*y + 701*y + 913 + 4118 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 - v**3. Let x(m) = -31*m**5 + 2*m**4 - 2*m**3 - 24*m. Let g(o) = -2*w(o) + x(o). What is the second derivative of g(t) wrt t?\nAnswer: -620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/4 + 2*u**3 + u**2\/2 + 7*u - 1. Give c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/12*(-18)\/(-30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from gararrrparll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.200380974 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-15))\/((-200)\/(-3250)))\/(189\/(-252))?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0, -3\/2848, -0.1, -77, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - (-69)\/12. Let t be (-9)\/u - 790\/4. Let m = t - -398. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 11. Let t be r(-12). Is 70\/3 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87005049 times -0.9?\nAnswer: -78304544.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*d - x, 5*d - 15 = -x + 3. Let i(l) = -2 - l**3 - 2 + 7*l + d*l - 8*l**2 + 2*l**3. Let s = 15 - 8. Determine i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.336006 * 21.\nAnswer: -28.056126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -495*x**2 - 376*x - 95*x**3 - 4*x**4 - 29*x - x**4 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 6*h = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -676322 divided by -338161?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 33, -25 in descending order.\nAnswer: 171, 33, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25439803 - 25439803 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/12)\/(2\/6). Suppose -2 = -4*h + 6. Let c = v - h. Solve c*o + 3*f = 2*f + 16, -1 = -f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 52 (b) -11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4295*n - 4309*n + 8625*n - 378 = 0 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 21. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j + 435. Let p be m(46). Let k = -35 - -20. Let u = p + k. Solve 0 = -5*b + 4 + u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.91031 + -4.79963. Let v = o + -0.14706. Let p = 0.057 + v. Round p to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -142, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, -1\/2, 0.45?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-399)\/27)\/((-1)\/12). Let s = n + -176. Let -s*h**2 + 0 + 0*h + 2\/3*h**3 = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 17*b**2 + 135*b + 1485. What is p(-14)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230 - 310011?\nAnswer: -312301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2261*b**3*i**2 - 57765*b**3*i + 19*i**4 wrt i.\nAnswer: 4522*b**3 + 228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 19 = y. Let z be (-6)\/3 + (12 - 4) + -51. Is z > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.81 + 0.89. Let x = c - 6. What is the second smallest value in 1\/2, x, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55096887, 55096888, 55096891, 55096896, 55096903, 55096912, 55096923?\nAnswer: 55096936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15836808?\nAnswer: 2, 3, 13, 193, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 5*r + 2. Suppose 3*m + 2*f + 166 = 0, -3*m + 5*f - 99 - 74 = 0. Let s = m + 45. Let w(u) = -3*u**2 - 14*u + 6. Calculate s*n(p) + 4*w(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -113848 + p + 113848. Let i(g) = -196*g**2. Calculate i(a(d)).\nAnswer: -196*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 238698?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + t. Let p(r) be the first derivative of r**3\/3 - r**2\/2 + 19. Let j be 2\/5 - (-28)\/(-20). Give j*p(q) - n(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 1 + u - 4*u)*(2 - 3*u**2 - 2).\nAnswer: -6*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 152 = 28*z. Let j = 43 + z. Solve 2*u + 3*o - 7 = 0, 1 = 5*u - 4*o - j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, z: 2, c: 1, h: 1, a: 1}. What is prob of sequence hza?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 10*h - 7168 = 0. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 43 = 3*n - 32. Solve -3*s - 13 - n = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + x**2 - 8*x**4 - 4*x**2 + 8 - 4. Let a(k) = 9*k**4 - 4*k**3 + 4*k**2 - 3. Let g(z) = -3*a(z) - 4*q(z). Differentiate g(i) wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 2, l: 1, u: 1, o: 3, z: 3}. Give prob of picking 2 z and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(2)*2))\/(-3*(-1*sqrt(4) - sqrt(4))) + ((sqrt(832))**2*-2 - (sqrt(13) - (-1 + sqrt(1573) - sqrt(13))**2)).\nAnswer: -363 - 251*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)\/(g**(7\/2)*g))\/((g\/g**8)\/g)**0 assuming g is positive.\nAnswer: g**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3454\/(-6) - 2\/6. Let t be (-4)\/18 - 6259844\/l. Let c = t + -10864. Calculate the common denominator of 75\/22 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) - (-236)\/(-6). Let w = -15 - k. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + -8 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6509029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + v - 1. Suppose -4*w + 4*l = -2 - 10, -5*l = 10. Let r(i) = -3*i**2 - 6*i + 6. What is w*r(g) + 6*t(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 16*d**2 + 5. Let g be m(-16). Suppose -g*v + 7 = -23. Calculate the lowest common multiple of v and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Is (-20)\/c*(-4)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of (-259737)\/(-18) + 35\/(-84)*10\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**6 - 2*v**5 - 33*v**2 - 7. Let t(b) = b**6 - b**5 + b**3 - 2*b**2 - 5. Let h(q) = -n(q) + 2*t(q). What is the third derivative of h(y) wrt y?\nAnswer: 720*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3411764*r**6 + 3*r**2 + 24*r - 28175 wrt r?\nAnswer: 409411680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 955 + 660. What is the third derivative of 17*b**2 + p*b**3 - 14*b**4 - 323*b**3 wrt b?\nAnswer: -336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173482.0000135453 + 173482. What is o rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3364, 3371, 3376, 3379?\n\"Answer: -o**2 + 10*o + 3355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*n - 37 = 0, j - 5*n = 6 - 20. Suppose 8*r - 9*r + j = 0. Suppose -x - 5*k = r, x - k - 24 = k. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9)*w**(-1\/2)\/w)**(-46) assuming w is positive.\nAnswer: w**(667\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/36)\/l**2 assuming l is positive.\nAnswer: l**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*j + 67*j + 70*j + (4 - 3 + 0)*(-2*j - 2*j + 2*j) in the form l*j + t and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 1. Let z be t(1). Let r = -4 - z. Suppose 5*v = 2*c + 8 + 569, r = -4*v - 2*c + 458. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/6 - (-1)\/(-2). Let f = 13\/194 - -42\/97. Let a = 0.371 + -0.371. What is the closest to f in 1\/2, a, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156 - 53 - (3 + 6 + -23 - -1)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -23811879?\nAnswer: 23811883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*h + 6 = -2*r, 5*r - 22 = -h. Let z(a) = 17*a + 2. Let t(u) = -33*u - 4. Calculate r*z(m) + 3*t(m).\nAnswer: -14*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -9\/20 (c) -1\/3 (d) 81 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k**2 - 2*k)*((-4 + 0 + 6)*(160 - 160 + 25*k) + 4*k - 4*k - 16*k).\nAnswer: 68*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 + x**2 - 2*x + 2. Let r be h(1). Let l(p) = p**3 - 5*p**2 + 2*p - 5. Determine l(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578821966 to the power of 1\/2, to the nearest integer?\nAnswer: 39734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 4 + (7 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31711117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 4*u. Let b be a(-3). Let s = 6374 + -6370. Suppose d - s = -2*w + w, b*d = 0. Calculate the greatest common factor of 32 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 0.08, -5 in decreasing order.\nAnswer: 0.08, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 17, 25, 25, 11, -23, -83?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 125 = -5*z - 55, 832*v = 18*z + 836*v + 620 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 1, z: 1}. Give prob of sequence qq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6*o - 5. Let u = -4 - -35. Let n = 33 - u. What is the least common multiple of r(-8) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 17*y - 3692 = 14*y, 2*k = 5*y + 1820. What are the prime factors of k?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/250 and 53\/50?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 549936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 + -79)*2\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 120.8?\nAnswer: -120.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + -2 + (-9 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -103. Let d be s*3\/9*(-12)\/10. Let r(b) = -5*b - 23. Let k be r(d). Calculate the greatest common divisor of k and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 4. Let r = 0.4 + -0.7. Let l = -0.5 - r. What is the second smallest value in l, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 197, 8, -3\/5, -1\/5, -4, -34.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 4 + 1 + 4)*(-s + 4*s - 4*s)*(11*s + 4*s - 5*s) in the form k + g*s**3 + o*s + w*s**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 12*l + 7. Is b(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/157 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6*15\/40)\/(3\/12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = 13*j + 2*j - 495 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 32820 to the nearest 100.\nAnswer: 32800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63950?\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10617 - 10614. What is the second biggest value in 1\/19, j, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**3 + 2*q**3 + 0*q**5 + (2 - 4 + 5)*(4*q**5 - 2*q**5 - 3*q**5) + (-4*q**2 + 2*q**2 - q**2)*(-q**2 + q**2 + q**3).\nAnswer: -5*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = 3*q, 5 = 713*v - 718*v. Solve -q*s = -4*s + 5, -3*s = -5*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 44 - 1520*r + 294*r + 19 + 17 in the form t + n*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15709, -31417, -47127, -62839, -78553?\nAnswer: -94269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/95 and 19\/170?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvv when three letters picked without replacement from ksjvjqkkjvvqvvjv?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/((-450)\/(-144)))\/(8\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Solve 5*j - 15 = 0, 7*j = f*r + 2*j - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51625799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -34750*p**2. Let r(o) = -2*o. Give u(r(b)).\nAnswer: -139000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*1\/(-1) + 5. What is the second derivative of z + 3*z - z + 3*z**y - 4*z wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -3571 + 13229. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*36\/(-8). Which is smaller: -54 or k?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 18, -5 in decreasing order.\nAnswer: 18, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((53 - 60) + ((-976)\/140)\/(-1))*-1.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -245*y - 160. Is b(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12711)\/796556)\/((-18)\/(-16))\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 1088?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 289, 1136, 2545, 4516, 7049, 10144?\n\"Answer: 281*v**2 + 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63175 is divided by 878.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239638627 is divided by 8558522.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 17815528\nAnswer: -35631056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 19. Suppose s*w = w. Let j be 8\/10*(-10)\/(-4). Solve b + j - 3 = w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49422199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 1. Let w be v(-2). Let t = -5 + w. Find the second derivative of -u - u + t*u + 3*u**5 wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u + 4*p + 538 = 0, 5*p + 809 = 3*u. Put u, -3, 5 in descending order.\nAnswer: u, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:58 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 9 - z**2 + 3*z**3 + 7 + 33*z + 0*z**2 to s*z + h*z**3 + a*z**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/(2\/12). Let o = 88\/5 - 719\/40. What is the third biggest value in g, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13239\/10297)\/(6\/(-2 + 338))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a - a150b8?\nAnswer: -a1508e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 1 - 3*l**3 + 0*l**3 + 4*l**3 - 3*l**2. Suppose 0 = -u + o, 17*o - 3 = 14*o. Let r be y(u). Solve -6*w + s + 5 = -w, 3*w - 3*s - 15 = r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 20940?\nAnswer: 20944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002276 rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56700, 56594, 56488?\n\"Answer: -106*k + 56806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooaa when four letters picked without replacement from {o: 6, a: 13}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235437*w**3*z**4 - 2191*w**3*z + 2*w**3 - 65*w*z**4 + 2*w*z + 2*w + z + 13 wrt z.\nAnswer: 2825244*w**3*z**2 - 780*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -6*s**2\/11 - 17040*s\/11 - 17034\/11 = 0.\nAnswer: -2839, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(36)*-3)\/sqrt(3))\/(sqrt(100)*-2*-5).\nAnswer: -6*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106 and 1795481?\nAnswer: 3590962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b + 50. Let f(c) = -3*c + 4 + 32 - 38 + 19. Give 11*f(r) - 4*z(r).\nAnswer: 3*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 312984?\nAnswer: 312984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 + 3*y - 20. Calculate the smallest common multiple of 1 and k(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13974 + 8749 = 733*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12866195 divided by -17\nAnswer: 756835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4002032*j**3 - 2893086*j**2 + 2*j.\nAnswer: -24012192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1906629, -1906622, -1906611, -1906596?\n\"Answer: 2*m**2 + m - 1906632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4555 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47655459941567 + -47655551578707.000043. Let z = t + 91637182. Let n = -42 + z. Round n to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -222, -452, -700, -978, -1298, -1672, -2112?\n\"Answer: -2*q**3 + 3*q**2 - 225*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -217. Suppose 5*g - 135 = -3*k, -3*g + 0*g + 47 = -5*k. Calculate the highest common divisor of g and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = -x, -3*x = 2*x + 3*f - 25. Suppose -x*j + 4 = 4*k, 2*k = 4*j - 17 - 21. Is 10 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.52254 + 0.05254. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - a65?\nAnswer: -a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, 0, -7.\nAnswer: -7, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzazzazzzzazazzz. Give prob of sequence za.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -3 (b) 5\/6 (c) -1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-24)*-2*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-5)*n)*n**(-3\/2)*n*n*n**6*n*n\/n**(-8) assuming n is positive.\nAnswer: n**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -230 + 8*y**3 + 423 + 244*y**4 - 8*y**3 wrt y?\nAnswer: 976*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919694671 to the power of 1\/2, to the nearest integer?\nAnswer: 30326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*q**2 - k**3 - 48*k**2*q**3 - 9*k**2*q - 2*k**2 + 202*k*q + 8521*q**3 - 772*q wrt q.\nAnswer: -4*k**3 - 288*k**2*q + 51126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 5*p + 20. Let b(h) = 3*h**2 + 3*h + 10. Let f(j) = 5*b(j) - 2*o(j). Let a be f(-4). Suppose -r - a = -2. Put 3, 0, r in descending order.\nAnswer: 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 8) to base 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = 0, -3*k - 28*u = -23*u + 13. Calculate the highest common factor of 1251 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20053.683us?\nAnswer: 0.0000002321028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1505820, 1505821, 1505822?\n\"Answer: u + 1505819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 2 + 2 + 10 + 3*t. Let i be o(0). What is the units digit of (-4)\/i - (2024\/(-28) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -22*w + 6. Suppose 2*f = -4*p - 24, -2*f + 27 = -5*p - 3*f. Let o(a) = 0 - 3*a + 2 - 4*a. Determine p*s(k) + 16*o(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 16*w**2 + 47*w + 15. Let i be x(12). Solve 3*q + v - 2 = 0, -4*q - i*v + 14 = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 688941?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4461\nAnswer: 1\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*p + 214*p - 6 = j, -8*p - 24 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 11}. What is prob of picking 2 d and 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 + 38*j**2 - 42*j - 9. Let o be g(6). Suppose -41 = -3*m + 124. Let a = m - o. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 11557\/15289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -0.4?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4055 - 12?\nAnswer: -4067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000301019162 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -6*l + 4*l. Let x = l + 57. Solve -5*h - 16 = -2*w, -x*w = -2*h + 3*h + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:48 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 904 and 272?\nAnswer: 30736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h - 1. Suppose 0 = t - 3*n + 52, n + 220 = -5*t + 6*n. Let r be t\/70 - (-8)\/14 - 2. Calculate o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 9990?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0*f**3 + 0 + 0*f**4 + 119*f**2 + 0*f + 1\/60*f**5. Let p(z) = 8*z**2 - 5. Calculate c(p(q)).\nAnswer: 64*q**4 - 80*q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10672770?\nAnswer: 2, 3, 5, 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -0.02, -5, 8\/7 in decreasing order.\nAnswer: 2, 8\/7, 0.2, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(((u**1\/u*u)\/u)\/u))**(-2\/27)*(u*u**(-1\/9)*u\/(u**6\/u)*u)\/(u**0*u)**(3\/8) assuming u is positive.\nAnswer: u**(-649\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -233333?\nAnswer: -233331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -136, -132, -128, -124, -120, -116?\n\"Answer: 4*a - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 3*z + 8, 5*p = 4*z + 26. Let m(d) = -2*d**p - 3*d**2 + d + 2*d**2 + d**3 - 2*d. Let n be m(3). Which is greater: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 689232, 689071, 688910?\n\"Answer: -161*a + 689393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23855 - 23847. Put 0, -17, -2, w in descending order.\nAnswer: w, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 6*m. Let a be p(-5). Find the second derivative of b - a*b + 2*b + b - 3*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59 (b) -15.8 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211805496 to the nearest integer?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a minute in seconds?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 times -4510?\nAnswer: -2241470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2))\/(y*y*(y*(y\/((y*y**(-1\/4))\/y*y))\/y)\/y))\/((y*y**(-2))\/(y\/((y*y\/(y*y**0*y))\/y*y)*y)) assuming y is positive.\nAnswer: y**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - -54. Let l = -169.4 + c. Let a = 801\/4345 - 1\/395. Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 762 and 121985.5276.\nAnswer: 122747.5276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {q: 6, s: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 138, 137, 136?\n\"Answer: -m + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496 and 2547208.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -17. Which is bigger: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48)\/9 - -6 - (-490)\/3?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**5\/11 - 18*b**4 - 5234*b**3\/11 + 13902*b**2\/11 - 1030*b + 2856\/11 = 0?\nAnswer: -21, 1\/2, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(3\/10)\/l)\/l*l)*l)**15*l**27\/((l**(-10)\/l)\/l*l*l))**32 assuming l is positive.\nAnswer: l**2480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -14951, 7, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/5)\/((-6)\/(-15)). Suppose o - 2 = t. What is the remainder when 12 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 13. Let k be q(-11). What are the prime factors of 3\/k*(-34)\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 27. Suppose 0 = -g - 2*u + 171, -q*g + g = 5*u - 509. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 2*s - 25 - 36*s**4 + 4 + 52316*s**2 - 52316*s**2 to the form g*s + u + m*s**4 + p*s**3 + r*s**2 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119587 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3459 and 189841450?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.5 (c) -80 (d) -1 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqgwatayyaatwyata. Give prob of sequence gy.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/111 and 70\/39.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-1)\/(-4) + -2). Let o = -132.3 - -132. Suppose -3*b + 3 + 0 = 0. What is the third smallest value in b, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.128834 months to millennia.\nAnswer: 0.0023440695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 661.8 + -656.8. What is the closest to 0.2 in -5, d, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 9.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8085 and 42135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 4 = 53 + 23 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((26\/(-12)*1638\/(-2366))\/(2\/12)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4259101042?\nAnswer: 2, 7, 4523, 67261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/5))**(-19\/6))**(-1\/7) assuming a is positive.\nAnswer: a**(19\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 78*o**2 - o - 15. Suppose -3*x + d - 12 = 0, -x - 4*x - 2*d = 31. Let r be p(x). Round r to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 388, 306, 190, 40, -144?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1324*s**2 - 696*s**2 - 2*s**3 - 83*s**2 + (0*s**3 + 4*s**3 - 3*s**3)*(2 + 3 - 3) + 0*s**3 + 2*s**3 + 0*s**3.\nAnswer: 2*s**3 - 2103*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 6*g - 6. Calculate s(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 3*j + 6. Calculate the remainder when (4708\/(-50))\/(-2) + 19*86\/(-20425) is divided by p(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500780341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 - 7*p - 6. Let j(v) = 19*v**3 + v**2 + 23*v + 20. Give -2*j(t) - 7*w(t).\nAnswer: 4*t**3 - 2*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 432 - 90 = 0. Let z(h) = 7*h - 39. Is z(m) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 12044 = 130316. Is r a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024609 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.051 (b) -0.3 (c) -467\/128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + -119 - 80 - 10?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - (-105)\/10)*(-16)\/224)\/(222\/(-16))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 0.149.\nAnswer: 2.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j. Let w be (22\/12*2)\/((-1)\/(-9)). Suppose 12 = -36*h + w*h. Let u(v) = -12 + 12 + 18*v + 17*v - 34*v. Determine h*x(b) - 18*u(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4745 divided by 2.\nAnswer: -4745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9473221?\nAnswer: 37, 256033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4680\/(-360) + 16*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1339 + -1294.455. Let d = q + -0.145. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2474, -4975, -7476, -9977, -12478?\nAnswer: -14979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 + -1 - (1 + -18 + 7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + ((sqrt(252))**2 - sqrt(7)) + sqrt(7) + 4*(sqrt(7) + 1)).\nAnswer: -1300 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/u**(-2\/23))\/u)*u*u**(-2\/13)*((u\/(u**(5\/6)\/u))\/u)**(-1\/3) assuming u is positive.\nAnswer: u**(9169\/5382)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -30f3c (base 16) in base 9?\nAnswer: -335036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 246\/4 + 27\/18. Let 4*d - c*d**3 - 76*d**2 + d + 6 - 4*d - 8*d = 0. What is d?\nAnswer: -1, -3\/7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**(-4)\/z)\/(z*z*z**(2\/3))**(-2\/17) assuming z is positive.\nAnswer: z**(16\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 252a25?\nAnswer: 252a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -53, -85, -117, -149, -181?\n\"Answer: -32*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/(z\/(z*z\/(z**(-3\/8)\/z)*z*z)*z))\/(z\/(z**(-24)*z))**(20\/9))**(3\/46) assuming z is positive.\nAnswer: z**(-1343\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210120010201 (base 3) to base 16.\nAnswer: 679ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 11) to base 12.\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*f - 55 - 38 + 67*f)*(f - f + f).\nAnswer: -f**2 - 93*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/4 + 2721*a\/4 + 3420 = 0.\nAnswer: -5, 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*d - u, 2*d - 5*u + 28 = 29 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -1.83.\nAnswer: 0.2013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1864 - -1876. What is the highest common factor of y and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1193 (base 12) to base 14.\nAnswer: -a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2 - 2) + 2. Suppose 0 = -2*c + 5 + 7. Suppose -c = -15*m + 13*m. Solve -m*t + 20 = k*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 5*q + 28)*(-7 + 22 + 31) in the form r*q + h and give r.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 7, -4*w + 4 = -4*y. What is the third derivative of -14*o**3 - 29*o**y - 11*o**2 + 32*o**2 - 40*o**3 wrt o?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5872505867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 - 5)*(3*o - 4*o + 2*o) to the form t + k*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, 1 p, and 1 r when four letters picked without replacement from {k: 1, r: 1, p: 2, g: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**2 + 1. Let b(h) = 4*h. Determine b(x(a)).\nAnswer: 44*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpp when three letters picked without replacement from cccpcccppccc?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(153) + (sqrt(153) - (1*sqrt(153) + 5))))**2 + -5*(3 + sqrt(153) + (sqrt(153) - (sqrt(153) + sqrt(153)*2)) + sqrt(153) + 3)**2.\nAnswer: -1604 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/((-20)\/240). Find the second derivative of 1 - 86*y**2 - 12*y**2 + x*y + 20*y wrt y.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3)*b*b*b**(-4\/7))\/(((b\/(b\/(b**(-3\/8)\/b)*b))\/b)\/(b\/b**8)) assuming b is positive.\nAnswer: b**(-257\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16335 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -0.2 (c) -5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -6\/11 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5145 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - w. Let a be u(-1). Suppose 5*t - 4*t + 9 = 3*o, a = t + 5*o - 15. Solve t = l - 5*n + 12, 2*l - 3*n + 12 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/12 + 5*o**3\/6 - o**2\/2 - 15*o. Give h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*n, 0 = -5*s - 69*n + 73*n + 47 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827.49754 - 36837.\nAnswer: -37664.49754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2305060 or -2305061?\nAnswer: -2305060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9803 - -0.0197. Let u = 0 + -0.2. Let g = 0.2 + u. What is the smallest value in -0.2, y, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -27*m - 6. Let k(j) = 1. Let q(g) = -b(g) - k(g). Let w be q(-1). Let y be (11\/w)\/((-5)\/(-2) - 2). Does -1 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 1. Let g = -150 - -151. Let f(z) = -z - 1. Calculate g*v(u) - 6*f(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23261*n + 23090*n = -8208 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 + 1. Let r be t(-1). Let v(c) = -c**2 + c. Let l(j) = -j**3 + j**2 - j + 1. Let h(x) = r*v(x) - 4*l(x). What is the derivative of h(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/56)\/((42\/(-231))\/(24\/(-33)))*154\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 63. Let o be 1*-3*p\/9. Does 8 divide o\/((-18)\/(-533)) - (-18)\/(-81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.926652 + 3163129.\nAnswer: 3163129.926652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s - 26 = -74*s. Solve -4*j - s = -17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g*g*g)\/g**(-5\/4))**45 assuming g is positive.\nAnswer: g**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 37. What is the units digit of x(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-70))\/((-4)\/(60\/9)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313*n - 4628*n + 2316*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aabbbaaaaabbbazsa?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 1, 2093, -2, -4, -5 in increasing order.\nAnswer: -5, -4, -2, -1, 1, 9, 2093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 5*q**2 - 4*q - 4. Let z(n) = -2*n**3 - 4*n**2 - 3*n - 3. Let f(w) = -3*a(w) + 4*z(w). Calculate the remainder when 283 is divided by f(3).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*(-30)\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (30 + -1)*(-6)\/(-27) and ((-47)\/(-4))\/(-14 - 873\/(-72)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 61*j**2 - 92*j - 1935. Let t be n(-62). Put -5, -2, t, 1\/4, 1 in descending order.\nAnswer: 1, 1\/4, -2, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11741*b + 11739*b - 4*b**2 - 7*b**3 - b**2 - 86 + 3*b**2 to m*b**3 + i + k*b**2 + v*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1629070000 to the nearest 1000000.\nAnswer: -1629000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 26. Let f be 1 + t*14\/30. Which is the second smallest value? (a) -1 (b) 4\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -8) + -4 + 12 + -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2114959013 and -0.0606.\nAnswer: -2114959013.0606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 311? (a) -0.4 (b) -10 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 + 0 = 0. Suppose 5*j + 4*z + 35 = 109, 0 = -j - 2*z + 16. Suppose -2*b - l = -6, -4*l + j = -2*b + 5*b. Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(3*-1 + (-88)\/(-33)) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8*u + 20. Suppose -8 + 32 = 3*g. Let b = -12 + g. Put -1, b, u in descending order.\nAnswer: u, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814 - 4347 - 9064 + 2409 = 534*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-6)\/9) - 9. Let o(f) be the third derivative of f**5\/60 + f**4\/4 + f**3\/3 + 9*f**2. Let l be o(-5). Is l bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3218 - -3287. What is the least common multiple of 598 and u?\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2 + 3)*(-24)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g**2 + 3*g**2 - 2*g**2. Let i(b) = b**2 + 2*b + 1. Let a be i(-1). Let h(r) = -r**2 + 0 + a. Give d(h(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:26 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024618 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*28\/(-9)*-6. Let k = z - 129. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*g**5 + 4 + (-60601*g**2 + 13*g + 1574*g**2 - 18*g + 5*g)*(-g**3 + 2*g**3 + 0*g**3).\nAnswer: -59029*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -537*m + 1398. Calculate h(5).\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000450005 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00340868503 rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -105*v**2 + 2*v + 29. What is the hundreds digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 185, 97, -53, -265, -539, -875?\n\"Answer: -31*s**2 + 5*s + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p + 0 + 9*p**2 - 2\/3*p**3 + 1\/24*p**4. Calculate t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.77, -1, -1\/11, 1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -6\/61, -4, 2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/25 - 50\/125.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 488*v + 2470. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474633357*z**2 + 31*z**3 + 474633357*z**2.\nAnswer: 31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 - 4*m - 7. Let q = 134 + -131. Let c be d(q). What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 569\/8. Let d be -2 + (-3)\/(-5) + 2. What is the third smallest value in 5, d, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 9*q**2\/2 + q + 6. Let a be y(1). Let g = a + 20. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -8*b + 1\/4*b**4 - 2*b**3 + 6*b**2 + 2. What is y in h(y) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-44)*3 - -2. Let s = c - -32\/33. Suppose -6*m**3 - 2\/3*m**2 + 26\/3*m**4 + 0 + s*m - 10\/3*m**5 = 0. What is m?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -66520113*k**2 - 31595*k - 695090. Let n(x) = 6316*x**2 + 3*x + 66. Give 3*f(c) + 31595*n(c).\nAnswer: -6319*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16)\/40)\/(2\/(-60))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 567.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1960 = -5*u + 3*k, 3*u + 2*k - 379 = 2*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + 6 + (3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 2)*(-1 - 5 + 4)*(790 - 790 - 5*a).\nAnswer: 50*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*f - 9*f + 75*f = -139515 for f.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/7))**33*u**(-7)*u**(-1\/7)\/u)**(-8))**(-3\/29) assuming u is positive.\nAnswer: u**(216\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20217 is divided by 10108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-2)*((-244)\/(-20) + -2)*-5 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*5\/(5\/2). Let d be (-6)\/3 - (-63 + i). Suppose d = 3*u + 3*o + 2*o, 4*u + 3*o - 87 = 0. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6993*h**5 - 2*h**4 + 15944*h wrt h.\nAnswer: 139860*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 245461614?\nAnswer: -245461610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/3 + 10180103*t**3\/3 - 11514946383423*t**2 + 39074485124035341997*t\/3 - 78148832068795523726\/3 = 0.\nAnswer: 2, 3393367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 - 13*w + 104 + 3*w)*(-1 + 1 + 4*w) + 2*w**2 + w - w.\nAnswer: -38*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 6)\/((-12)\/(-8)). Let r be (-3)\/(-3) - (2 + q). Suppose 0 = -r*v - v - 20. What is the nearest to -1 in 4, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i**2 + 22 + 40 - 61 - 43*i**2 in the form v*i**2 + x*i + k and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 2021418.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28835 - -20263. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 30562?\nAnswer: 30555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/70 - 1833\/(-3290)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -623f - -738?\nAnswer: -5b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 - 1066\/7. Which is the nearest to f? (a) 1\/4 (b) 2\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qgqqgqxxxxqqxxx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 77497584 times 1.5\nAnswer: 116246376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -65\/99, -0.12, 13, 3\/8 in decreasing order.\nAnswer: 13, 3\/8, -0.12, -65\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13414 + -2692. What are the prime factors of g?\nAnswer: 2, 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*i - 13*i + 18*i.\nAnswer: -94*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*o + 81, 149*g - 155*g = -5*o - 89 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-22))\/(379\/(-8338)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 + 2*g**2 - 5*g - 5. Let u = -42 - -37. Let p be k(u). Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85171 less than -0.5?\nAnswer: 85170.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*o = -1342 + 996 - 2486 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -34985 + 117*i - 119*i + 34985. Let n(s) = s - 2202. What is t(n(u))?\nAnswer: -2*u + 4404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 59208794\nAnswer: -59208787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/2*20\/(-25). Let u be 4 + v\/6*0. What is the derivative of -h - 2 + u + 0*h wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**16*t\/t**6*t)\/(t**(-2\/23))**(1\/45) assuming t is positive.\nAnswer: t**(-19663\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14532699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*k - 5. Solve k*b + 5 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*y - 90*y + 4 = 0. What is the units digit of y\/4 + (-47)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d + 6. Let r(a) = -38*a - 17. Let z(j) = -17*k(j) - 6*r(j). Let y(u) = -7*u. Give z(y(c)).\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 3*o - 5*n = 0, -3 = o + 2*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + 2 + (5*2*sqrt(99))\/(sqrt(36)*4).\nAnswer: 5*sqrt(11)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/((-12)\/1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/16 + 126\/(-432). Which is the nearest to 0.3? (a) m (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from xxpppxpxxxxxxxxxpxxx.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4280 - 3?\nAnswer: 4276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/18 - ((-3)\/(-4))\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 159538 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d + 200 - 344. Calculate the smallest common multiple of d and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8445513, -8445514, -8445517, -8445522, -8445529?\n\"Answer: -p**2 + 2*p - 8445514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 less than -323?\nAnswer: -322.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33176 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 624\/(-8)*(-18)\/(-4). Let z = f - -727. Suppose 5*r - 344 = z. Calculate the highest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 35\/1258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415652?\nAnswer: 2, 603913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -215, -476, -841?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 3*l + 2*l - 6*l - 1)*(0 - 1 + 3).\nAnswer: -4*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose a = -j + 2*j - 12600000. Round j to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070\/11831 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 + -131. Suppose -3*v = 2*y + j, -4*y + 5*v = -9*y - 250. Does 30 divide (-439)\/(-9) - 10\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100 + 16 = 3*n. What are the prime factors of ((-6)\/3)\/((-6)\/n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n*q*r*y - 27*n*q*r + 4*n*y**2 + 175*q*r**2*y**2 - 23*q*r**2*y - 6*q*r**2 - 5*r**2*y**2 + 3*y wrt y?\nAnswer: 8*n + 350*q*r**2 - 10*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -174, 17 in descending order.\nAnswer: 17, 2, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 0 + (-143 + 354 - 120).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*c + 6778 + 192*c - 6762 - 14*c**2 as x*c**2 + a*c + u and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzyl when four letters picked without replacement from pzpzyayppmmymzzml?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 999.9.\nAnswer: -899.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1180930 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 17 + (344 - 321) + 15?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442284 is divided by 22113?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3400 (base 5) to base 15.\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g**2 - 10*g + 10*g)*(-g**2 + 0*g**2 - g**2) + 136 - 136 - 10*g**4.\nAnswer: -42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5 = 0, -3*g - 28 + 5 + 6 = 4*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 7:51 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*u - 5844, 205*u - 2916 = -2*d + 200*u. List the prime factors of d.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930179 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13\/3)*o*o*o**(-5\/2)*o**(-4\/13)*o*o*(o\/o**(1\/11))\/o*o*o)**48 assuming o is positive.\nAnswer: o**(-8456\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19571 = 1128*a + 16525 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/15 + 146*f**3\/5 - 4876*f**2\/3.\nAnswer: 2*f**2*(f - 46)*(f + 265)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (0 - (-9)\/3). Is (-1 - t) + 4 + -2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3448*f - 1262048. Give d(-366).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1308808 divided by -4.\nAnswer: -327202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 33 + 46 - 2*o.\nAnswer: -2*o - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18195972 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a - 2*m - 12, -m - 16 = -3*a. Let l(b) = -4*b - 4 + b - a + 3. Let x be l(-8). What is the greatest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/12 - 11*g**4\/24 - 12*g**2. Find the second derivative of k(a) wrt a.\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238475373?\nAnswer: 3, 97, 819503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-4014*l**2 - 185*l**3 + 4014*l**2).\nAnswer: 370*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 106.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -5, 0.02082?\nAnswer: 0.02082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41980096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1 - (-2 - 9). Suppose -2*z - z = -4*i - 18, -g = -4*z + i. Solve z*f = 4 - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*c*m**3 + 950300*c*m - 900*m**3 - 2*m**2 - 1733*m + 1 with respect to c.\nAnswer: -103*m**3 + 950300*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2564, 10351, 23358, 41585?\nAnswer: 65032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1075)\/29 - -37 - (-4170)\/(-87).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3851 + 3852. Solve h = -2*m - 10, 67*m = 4*h + 62*m + b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-7)*(-112)\/(-32))\/((-3)\/(-2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 42. Let p(c) = -4*c**3. Let k be p(-1). Suppose -3*q + 3 = g, 4*q - 9 = k*g - 53. Sort g, t, 0.2 in ascending order.\nAnswer: 0.2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217859, 435854, 653837, 871802, 1089743, 1307654, 1525529?\nAnswer: 1743362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 167621?\nAnswer: 5\/167621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 692944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181099 = -43*r + 42372. Round r to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1890569, -1890571, -1890573?\nAnswer: -1890575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (10 - (9 + -9 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 3*c**5\/5 - 21*c**4\/4 + 9*c**3 + 81*c**2\/2 - 162*c - 187. Factor w(m).\nAnswer: 3*(m - 3)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3024 - -3054. Solve 17*o + s = 47*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 90837?\nAnswer: 4451013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/2))\/p*p*((p*p**(-1\/5))\/p*p)\/p)\/(p\/((p*p*p**1*p)\/p)*p)**(2\/83) assuming p is positive.\nAnswer: p**(1929\/830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 - 2*y**2 - 3. Let f = 13890 + -13887. Let u(i) = -5*i**3 - 3*i**2 - 2. What is f*u(d) - 2*j(d)?\nAnswer: -7*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/176?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*h - 180 + 180)*(0 - 1 - 2)*(56 + 37 + 65) to f*h + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 113191*x + 565965. What is d(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c*o**2 + 134525777*c + 2*o**2 + 897726*o with respect to o.\nAnswer: 8*c*o + 4*o + 897726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(34)\/sqrt(32) - (sqrt(612) + 1 + sqrt(612) - sqrt(17)))**2 + ((0 + sqrt(17)*2)**2 - ((sqrt(17)*-1 - sqrt(17))**2 + -2))*-1).\nAnswer: 43*sqrt(17)\/2 + 31337\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.571 (c) -3 (d) 0.22 (e) -1 (f) 34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -4. Let m(w) = -w - 5. Let j be m(-5). Suppose j = -u*v - 75 + 295. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 36 + 2)*(-o + 0*o + 127 - 386) to the form j + r*o and give j.\nAnswer: -9065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - 10?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nssp when four letters picked without replacement from spppzzbpnzzssps?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6235\/7 + 891. Put -1\/2, 0.5, -1\/9, 5.8, t in ascending order.\nAnswer: -1\/2, -1\/9, t, 0.5, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 497 = -228 - 223 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/26)\/((3\/4)\/3) + 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 993.6 - 993. Let r = 248 - 3222\/13. What is the biggest value in w, 3, -2, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-288)\/(-27)))\/((-3)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 10224 + 9119 = 0. Let l = m - 496. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274596894 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 take away 28?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18))\/((-1869)\/63 + 28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -38 (b) -9 (c) -101 (d) 0.2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/7790 and -109\/552970?\nAnswer: 430763630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 126776.\nAnswer: -1\/126776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 28305*m - 705750.\nAnswer: -3*(m - 9410)*(m - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + (-11 - (-8 - 32))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-10 - (-1 + -5)) + 18 + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 21*a + 28. Let p be w(20). What is the tens digit of p\/((-8)\/(-45)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195de (base 16) to base 4.\nAnswer: -121113132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-5\/4)\/z)*z**(-1))\/(z**(2\/3))**4)\/((z**(-1\/7)*z)\/(z*z\/z**9)*(z*z\/z**0)\/(z**(-4\/7)*z)) assuming z is positive.\nAnswer: z**(-995\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*t = 24, l - t + 16 = -2*l. Sort 1, l, -12 in ascending order.\nAnswer: -12, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/12 - 20\/(-80)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -18. Suppose 0 = 14*c - 9*c + 115. Let m = g + c. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niirymiinrdminyyiiiy. What is prob of picking 1 i and 1 n?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f**2 + 2*f**4 - 2*f**4 - 2*f**4)*(0 + 2 - 1) as i + u*f**4 + c*f + n*f**3 + z*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 55. Calculate the remainder when 62 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 1877.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and -3227.412.\nAnswer: -3226.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 132*z - 43*z - 90*z = f - 56*z + 6, -f - z = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r. Let n(j) = 768*j. Calculate v(n(x)).\nAnswer: -4608*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56, 23, 33\/10?\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163823 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/58 + 61\/174. Find the common denominator of t and -87\/142.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288) + -4 + -1 + 0 - -5*(-2*1*sqrt(288) + sqrt(288))*2)*6)**2.\nAnswer: 46656*sqrt(2) + 841104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 36)*10\/(-4). Let g(y) = y**3 - 12*y**2 - 6*y - 47. Let u be g(13). What is the greatest common factor of u and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 8. Let y(s) = s - 1. Calculate -m(p) + 5*y(p).\nAnswer: 2*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 911674 divided by 14\nAnswer: 455837\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -10. Let o be (42\/(-8))\/(t\/(-16)). Let k(x) = 131*x - 1385. Let i be k(11). What is the greatest common divisor of i and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -9*d**5\/20 + 3*d**2\/2 + 6*d. What is the derivative of s(n) wrt n?\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 36*q**3 - 144*q**2.\nAnswer: 4*q**2*(q - 12)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ed3cd (base 16) to base 11.\nAnswer: -1806769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97110?\nAnswer: 2, 3, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101352300 divided by -151725?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1119 by -3.\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**3 - 4*n**2 + 2*n + 4. Let b(u) = -7*u**3 + 4*u**2 - 2*u - 5. Let c(j) = 3*b(j) + 4*y(j). Calculate c(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 15. Let a be (0 - (-6)\/27)*n. Calculate the remainder when 54 is divided by (-14 - -13)*(-17 - a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*w - 51*w + 24*w)*(2*w - 2*w - w**4).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122 (base 4) to base 11.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 735553475 a multiple of 4455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 8. What is the smallest common multiple of 6 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-4)*(14 + -11). Let p = -5 + c. Factor -1\/4*s**4 + 0 + 1\/4*s**2 - 1\/4*s + p*s**3.\nAnswer: -s*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13427967*q + 2685585*q + 2685583*q + 2685593*q + 2685590*q + 2685566*q.\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2)*(-1 - -16). Let h(q) = -15 + r - 3*q. Let m(s) be the second derivative of 5*s**3\/6 - 68*s - 1. Give h(m(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let h = -7.3 + 7.5. Which is the third smallest value? (a) h (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 7*a**2 - 86*a + 86*a - 30.\nAnswer: 7*a**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 less than or equal to -732\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -135 (c) 2\/13 (d) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5\/4, 2, -5\/838, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 14 = -3*g + 10*b, -2*b = -2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 2*k**2 - 19*k - 18. Calculate d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239130.9 nanoseconds to seconds.\nAnswer: 0.0002391309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*w = 79*w - 171. Suppose -21*v = -w*v - 312. Calculate the remainder when v is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -20. Suppose -4*p = 2*j + 2*j - 24, 4*j = -3*p + 20. Let y be 6\/12 + (-18)\/p*-3. What is the greatest common factor of y and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - t - 3*t - 29 = 0, -18 = k + 3*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*l + 19250 = 10694 - 14214 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m + 29. Let q be z(6). Let f be ((-104)\/1736)\/(-13) - 2\/(-7). Is f bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9976*u + 9976*u + 22*u**2.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13*l + 15. Let s be q(-9). Suppose 23*m = 27*m + s. Do m and -97\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13089, -26599, -40111, -53625, -67141, -80659, -94179?\nAnswer: -107701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 - 550. Solve 5*j + 29 - 9 = l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -57*h + 1643. Give o(28).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 252*a - 150*a - 143*a + 545*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwtv when four letters picked without replacement from {k: 1, w: 9, u: 1, t: 4, v: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -109, 1 in decreasing order.\nAnswer: 1, -2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 467*z**5\/10 - 11237*z**4\/24 - 1712*z**2 - 2. What is the second derivative of u(a) wrt a?\nAnswer: 5604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10))\/(-2 + (-15)\/12). Sort 3\/2, -1, b.\nAnswer: -1, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2046 and 2387?\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0531 in -0.7, 0.3, -2\/9, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 - 0.01. Let p = 0.017 + -4.017. Let z be (-2)\/5 - (-16)\/(-10). Which is the third biggest value? (a) x (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/30*(-5 + 0) + 6 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (76\/(-6))\/((-12)\/18). Suppose r = 3*q - r - j, 2*r + 10 = 2*q. Round q to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*j + 2037 = 2*i, -i - 2*j + 406 = 0. What is the highest common factor of i and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -5)\/(6\/(-4)). Suppose 0 = -w - v*w + 381. Suppose -3*o + w + 32 = 0. What is the remainder when o is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -81 in increasing order.\nAnswer: -81, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13690.33 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0 (c) 573 (d) 13 (e) 1\/25 (f) -3\/8 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 113. Which is the closest to n? (a) 4\/7 (b) 10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893\/(-282)*-6 - -19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h\/(h**(-3\/5)*h)*h)**(-1\/19)\/((h*(h*h**(2\/13))\/h)\/h**(-7)*(h**0)**33) assuming h is positive.\nAnswer: h**(-10304\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 10*u - 1. Give j(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*x - 5881 + 2116 - 1919. Which is greater: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83522674 and 14864.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(572))\/sqrt(11))\/(6*(sqrt(4) + sqrt(20)\/(sqrt(35)\/sqrt(7)))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 1 + 3*r - 3 - 4*r in the form d*r**2 + h + o*r + w*r**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 18. Find the second derivative of 4*d + 7*d**2 + 4*d**2 + 2*d - 6*d**z wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 2, z: 1, r: 1, s: 3, e: 3}. Give prob of sequence sew.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 2. Let d(o) = 2 - 1 - 12 - 14*o. Suppose -j = 4*x + 9, 0*x + 3*x = -4*j + 29. Calculate j*l(w) + 2*d(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.012173 decades to millennia.\nAnswer: 0.08012173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.0294 + 1.9706. What is the closest to 2 in 35, 7\/3, 0.2, g?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - x + 0*x - 32)*(-488 + 22*x + 488).\nAnswer: -22*x**2 - 330*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 27. Let c = 22 + p. Suppose 0 = c*f - 8 - 1. Solve f*n = n, 4*v = n + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 1446396?\nAnswer: 2892792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*(g**6*g)\/g)**(-47)*g**(-4\/3)*g*(g\/(g\/(g\/(g*g**(-1\/2))))*g)\/g*g**4\/(g*g*(g\/(g*(g\/((g\/((g*g\/g**(1\/3))\/g))\/g)*g)\/g))\/g) assuming g is positive.\nAnswer: g**(-3073\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aajjajaaaaaaaaaaaj?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g - 2. Let d be f(-2). Let i be (-2)\/(-3)*297\/(-9). Let s = -28 - i. Put -1, d, s in decreasing order.\nAnswer: d, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8901647 micrometers in nanometers?\nAnswer: 890.1647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*m = 118, c + 210 = -4*c + 5*m. Let k = c - -91. Suppose k = 4*n + n. What is the least common multiple of 11 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -571 + 571.2. Let q be 3\/(-15) - (-9)\/20. Which is the second smallest value? (a) j (b) q (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1309 and 1547.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6224020427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/32*(-252)\/66*(-24)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 12*i + 1. Let q be b(10). Calculate the greatest common divisor of 42 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13d + -4b9d1?\nAnswer: -4b893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 196\/8)\/(70\/(-28) - -3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(b - b - b)*(-1417 - 26*b + 1417) to the form s + x*b + w*b**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**5 - 5*h**5 - h**5 + (-h**2 + h**2 + 2*h**3)*(3*h**2 + 2 - 2) + (-3 + 3 + 2*h**2)*(3*h**3 - 3*h**3 + 2*h**3).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (1 - 0)) + (-4170 - -4170).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 135 = -5*u, -63 = 5*u + f + 82. Let i be (-3)\/(((-4)\/u)\/(-2)). Let p = i - 29. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*v**2 + 42*v**2 - 149*v**2 + v**6 - 479*v**4 wrt v?\nAnswer: 120*v**3 - 11496*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 smaller than -11120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, 9, 17.\nAnswer: -3, 2, 5, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*c - 23*c + 45 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 69\/84 - 48\/84. Let l be (159\/212)\/(417\/(-8)). Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -4*v + 36. Let c be ((48\/3)\/1)\/v. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/7? (a) 2\/79 (b) 15\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 669191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2077935.57 to the nearest 1000.\nAnswer: -2078000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2192 at least as big as -2186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2981958*v**3 + 2044351*v**2.\nAnswer: -17891748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-350))\/(4\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46, -156, -408, -880, -1650, -2796?\n\"Answer: -13*w**3 + 7*w**2 - 40*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdyyrfuuuy. Give prob of picking 2 f, 1 u, and 1 y.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*q - 21895 = 258*q - 19374 + 27431 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -8 + 4)\/(1 - 0). Suppose -5*d = 6*d + m*d. Solve -9*u + 11*u = d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 8*l**2 + 13*l + 6. Let a(y) = y**2 + 2*y - 3. Let p be a(10). Let c = -108 + p. Does 6 divide k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 12*o + 2*o**2 - 2*o**2 + 4*o**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 46. Suppose 4*u = -2*u + q. Let m(b) = 25*b - 7. Does 14 divide m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74483532.\nAnswer: 2, 3, 47, 44021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3 + 2*o**3 - 12.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {c: 1, b: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-23909745\nAnswer: 478194.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -493, -985, -1477, -1969, -2461, -2953?\n\"Answer: -492*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(448) + 0)**2 - (-1 + sqrt(448))*4).\nAnswer: -160*sqrt(7) + 922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 + 95254556*m + 1134178804844642 = 0.\nAnswer: -23813639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/(t**2\/t)*t**2\/t*t**(-2))**(-8\/13) assuming t is positive.\nAnswer: t**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*l + 4 = 0, 315*p + 5*l + 1 = 316*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-44240)\/(-21) - 0)*9\/(-4). What is c rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -17897*l + 2107. Is n(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 + 30814*t - 123224 = 0. What is t?\nAnswer: 4, 15403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 14. Let w(j) = j**2 - 2*j + 5. Let u be w(5). Suppose -4 = -2*k - u. Let c(f) = -f - 5. What is k*c(p) - 3*i(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 816780 or 816761?\nAnswer: 816780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1 - -4)\/6. Let g be ((-2)\/4)\/(u\/4). Let a(h) = h**2 - 2. Calculate the remainder when 2 is divided by a(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 + 343*m**2 - 344*m = 0.\nAnswer: -344, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1171 + 649 = -5*b. Let o = b - -3643\/10. Is o < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*w + 90 = -128, 5*w + 72 = 2*p. Suppose p = 5*q - 24. What is the remainder when 40 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61\/1164 + -3\/97. Let w = -762 + 50291\/66. Let k = w + -1\/6. Which is the closest to 0? (a) -5\/3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119137590, -119137591, -119137592?\n\"Answer: -x - 119137589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:39 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/33)\/((-5)\/(-5))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134 + 174. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4319, -4310, -4301, -4292, -4283, -4274?\nAnswer: -4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*d**3 - 68*d**3 - 153*d**3 - 126*d**3.\nAnswer: 115*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from bibbtyyyssysbbsbbsbs.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -512.05934 rounded to 1 decimal place?\nAnswer: -512.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/172 + 85\/172. Let r = 0.03 - 0.23. Which is the closest to 0.1? (a) s (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1570820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + ((sqrt(72) + 0 - sqrt(72)) + -3 - (sqrt(72) - (-3 + -1 + sqrt(72)))))*5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -12. Suppose 3*j - 68 = -20. Suppose -r*i + 4*h = -j, h - 20 = -5*i + 2*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: Let r = -104 - -419\/4. Which is the closest to 62? (a) -0.2 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2240 and 2592?\nAnswer: 181440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozojzojjjzzooooo. Give prob of sequence ojzo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**5 - 102*s**4*z - 8*s**2 + 10*s*z wrt s.\nAnswer: -60*s**2 - 2448*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 3\/5, -45, -4, 1.6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 571?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 10. Suppose -20 = -3*w + u*d, -2*d + 0*d = -w + 7. Let i = w + -3. Solve -i*s + 1 = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhbhhttv. Give prob of picking 1 b and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28653*o + 28650*o - 3 - 57303*o - 5*o**2 + 3.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 107.6. What is the closest to 0 in m, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 127. Suppose -5*b - s = -26. What is the second smallest value in 1\/30, 2\/9, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.06 - -2.060234. Round r to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -96, -10, -1 in ascending order.\nAnswer: -96, -10, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2149 - 929. Suppose 92*b - 72*b - a = 0. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002075 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k - 474 + 474 as i*k + f and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-6 - -2 - (-35 - (3 + -34))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n + 6. Let j be p(-4). Let u = 29 - j. Solve -u*s = -7*r + 3*r, 0 = 4*s - 4*r - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2197, 8024, 17729, 31312, 48773, 70112?\nAnswer: 95329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13824936 to the power of 1\/2, to the nearest integer?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -303 - 6?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9640, -9635, -9630, -9625, -9620, -9615?\n\"Answer: 5*z - 9645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379, -770, -1173, -1594, -2039, -2514, -3025, -3578?\nAnswer: -4179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 - 2*m + 6. Let b be c(3). Suppose -3*n = b - 261. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380492 + 508880 = 164*u. What are the prime factors of u?\nAnswer: 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275.571677 - 280.427159. Let r = z + 556. What is r rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 - 166*u**3 + 3312*u**2 + 33480*u - 1123200 = 0.\nAnswer: -16, 30, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41964839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:11 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in nanoseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x - 22 = 2*z, 17 = -z + 4*x. Suppose w - 3 = -2. Suppose 5 - w = 4*r. Do z and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/21 and (((-1024)\/6)\/(-8))\/6.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 + 17*d**2 + 83*d**2.\nAnswer: 140*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -917\/342 - -85\/38. Which is the smallest value? (a) k (b) 3 (c) -21 (d) -6 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 5 - (-1 + 2). Let d be -1*(m - (-1 - -3)). Solve -10 = d*n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.16 or -24080?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) + (-99)\/(-182). What is the third smallest value in 1, -2, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*i**2 - 2 - 5*i**2 - 3*i + 8*i**2)*(2 - 2 - 1 + (6 - 2 - 2)*(-3 + 1 + 3) + 0 + 1 + 2) as f*i**2 + u + q*i and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -8. What is the greatest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 24. Let w = -159.7 + 160. Which is the nearest to -1? (a) w (b) d (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 151*c - 1222. What is the remainder when f(18) is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -561 + 557. Is s at least as big as 17.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*a**3*b*g**3 + 461*a**3*b*g**2 + 2*a**2*b*g**2 - 2*a**2*b*g + 7*a**2*b + 107*b*g**4 + 2*b*g**2 wrt g.\nAnswer: -858*a**3*b + 2568*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 18*v - 50. Let j(l) = -l**2 - 6*l - 17. Let y(u) = 11*j(u) - 4*m(u). Is y(-6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*4\/10*440\/(-16). Let v be 224\/22 + (-8)\/h. Let s be 15\/v - (1 + 0). Sort -3, -0.1, s in decreasing order.\nAnswer: s, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/397495 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from iihhhihhhhhhhhh.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.136 and -0.1667.\nAnswer: 3.9693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3\/8, -73, -0.71, 0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {j: 4, o: 2, y: 3, i: 1, c: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 765665781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/46658499 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27986 to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1)*p)\/p)**(-39)*(p\/p**0)**(-1\/5))\/(p**(-2\/15)\/(p*p**(-6)))**(30\/7) assuming p is positive.\nAnswer: p**(-737\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*p - 9698 = 0, -i + 2724 = -4*p - 2119. List the prime factors of i.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5996075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289301.\nAnswer: 1481, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 6. Let g be c(5). Let t = 6 + -4. Solve -4*p - g = 4*k, -4*k - 8 = t*p - 0*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 74*i**2 + 81*i + 664. Let v be z(-75). Calculate the highest common divisor of v and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13101 + -13100. Which is the nearest to 2? (a) l (b) -13 (c) 14 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4704122 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 97124.94 centuries?\nAnswer: 9712.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44217, -88433, -132649, -176865?\nAnswer: -221081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 equal to 2.8648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 202*z**2. Let y(t) = -t. What is y(u(j))?\nAnswer: -202*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*o**2 - 30*o**2 - 2*o - 37*o**2)*(3*o - 3*o + 2*o).\nAnswer: 98*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 1, s: 2, k: 1, w: 1}. What is prob of sequence ys?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -38. Let c be o\/(-6)*(-19 - 3). Let j be 0 + c\/((-11)\/(-24)). Calculate the highest common divisor of 216 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5174 = -5*h - 17709, 5*h = -4*j + 10028. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 15\/(-6))*0. Let k = 10 + -16. Let r be (-60)\/(-8)*k\/(-5). Solve o - 2*a + r = u, 0*o - a = 5*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - k)*(1 + 0 + 0)*(-1 - 6 + 5)*(-12*k - 2730 + 2712 - k**2 + 2*k**2) + 3*k**3 - 2*k**3 - 4*k**3.\nAnswer: -k**3 - 24*k**2 - 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740 = 20*p - 1328 + 2068 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1601 = 4*t + 1513. Solve 0 = -24*g + t*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -1.1. Suppose 2*b = 159 + 9. Let y be (-33)\/b - (-3)\/21. Which is greater: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*j**4*w - j**4 + 2*j**3*w - 2*j**2*w - j**2 - w wrt j.\nAnswer: 840*j*w - 24*j + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13048, -52149, -117302, -208501, -325740?\nAnswer: -469013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 31 = -4*o, 0*o = t - 6*o + 43 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -15) + 59 + -2 + (695 - 673)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b = 5*b - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53727\/20 + -484063\/180. Let m = -1669 + 195274\/117. What is the common denominator of m and z?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**30\/y)\/(y\/(y\/y**(-2\/77))*y))**(-39) assuming y is positive.\nAnswer: y**(-84162\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = i, 9*n - 5*n = -3*i - 8. Does -1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -362520443?\nAnswer: -362520446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-50))\/(((-13525542)\/90)\/(-29)). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqqqi. What is prob of picking 4 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 771570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = 0, 2*q - 148402 = -q - 2*o. Suppose 4*w + q + 6932 = 0. What is w rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7571\/8 - -945. Let h = 158366015289\/1096 + -144494567. Let r = h - -3\/1096. What is the common denominator of i and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**4 - 7\/120*d**6 - 18*d**2 - 1\/336*d**8 + 0*d + 0 + 1\/20*d**5 + 0*d**3 + 1\/42*d**7. Solve b(u) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a**3 + 13*a**3 - 13*a**3)*(-1 + 3 - 3) + a**3 - 3 + 3 + (-2*a - a + 2*a)*(3*a**2 - 2*a**2 + a**2) + 3*a**3 + 8*a**3 - 4*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let t = i + -3. Let q(n) be the third derivative of -n**6\/120 - n**5\/20 + 5*n**4\/24 + n**3\/2 + 21*n**2. Determine q(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**2. Let m = -1513 - -1678. Let t(a) = -297*a**2. Calculate m*u(s) + 6*t(s).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:53 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/9)\/l)\/l)\/(l\/(l\/l**4)*l))\/(l**0\/l**5)*(l**(5\/4)\/l**(-2\/5))**(-1\/4) assuming l is positive.\nAnswer: l**(-1577\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156.54 - -159. Let y = z - 253.46. Let a = y - -251.00605. What is a rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*g - 44 = -57, -n + g + g + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90747685 divided by -12963955.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5374718 (base 11) to base 6.\nAnswer: -534312151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -105*o + 30. Let t(w) = -w**2 - 19*w + 17. Let z be t(-20). Let g be n(z). What is the highest common divisor of g and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1326337 (base 9) to base 14.\nAnswer: 14c9cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/444 and -65\/1260294?\nAnswer: 2520588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 + (7 - (107 + -76)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*h + 9 = 34, 3*h = -2*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680853 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from ezzffzzffk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -225637.\nAnswer: 67691.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6 and 2 + ((-219)\/54 + 1 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aappaappphhha. Give prob of picking 1 a and 2 p.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/((-6)\/(-486)). Let t = f + -23. Solve -t*l - 20 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.8 + 47.9. Sort p, -1\/10, 68 in descending order.\nAnswer: 68, p, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260998 divided by -3527?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 580, -15, 36, -1, 1, -5 in descending order.\nAnswer: 580, 36, 1, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 + 2*p + 124. What are the prime factors of x(22)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-96)*(3244\/(-30) + 192\/1440)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74278248?\nAnswer: 2, 3, 11, 281357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -103, -1, 4.\nAnswer: -103, -5, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(0*l - 11*l + 0*l) + 0 + 0 + l as a*l + n and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.3 + -11. What is the closest to -2 in 4, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620749 and 740?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 43*v**2 - 12*v. Let c be l(3). Calculate the highest common divisor of 324 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*c - 144144 = -1783*c for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -100110010121?\nAnswer: 100110010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Find the second derivative of -2*y + 3*y**2 - 6*y**2 + a - 3 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 3*q + 56. Let w be n(0). Calculate the greatest common divisor of w and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j = 9, -21 = 3*u + 2*j. Let p(x) = 2*x + 12. Let d be p(u). Solve -4*o = -d*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 363, 416, 455, 480, 491?\n\"Answer: -7*f**2 + 74*f + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - c?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 35\/170*(-2 - -11 - 29).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2800 - 920. Round y to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/5)\/(r**(-8)\/r)*(r**(-1)\/r)**6 assuming r is positive.\nAnswer: r**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 120. Which is the closest to 1? (a) 1 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 1, h: 1, j: 1, v: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (8 - -1)) + 5*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.42. Let i = -0.14 + 0.04. Let k = -18 + 18. What is the closest to i in d, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 0*g + 0*g)*(2 - 5 + 1)*(-4*g - 2*g + 3*g).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 + 625. List the prime factors of h.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8328 = -410*k + 948 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 7*c**2 + 5*c. Let a(n) = 2*n**3 - 7*n**2 - 6*n. Calculate -5*a(f) - 6*p(f).\nAnswer: 2*f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -803017 or -803018?\nAnswer: -803018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*o**5 + 2*o**3 - o**2 + 71 wrt o?\nAnswer: -2400*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.5 at most 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 11*s**2 - 23*s + 39. Let f be t(-13). Let g be f - 8\/(-12)*(-1632)\/(-4). Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79\/330 + -4\/55. Let q = 4.992 + 0.008. Sort -1\/2, q, y in descending order.\nAnswer: q, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.76 - -0.24. What is the nearest to 1\/3 in -5\/6, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 956235 and 119692?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, 2557, 4 in ascending order.\nAnswer: -5, 2, 3, 4, 2557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -154042 (base 6) to base 2\nAnswer: -11101100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035067347 rounded to 6 dps?\nAnswer: -0.003507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 10 = 0, 2*x - 18 = -5*w. Let y be 6\/x*4\/3. Suppose 0 = 4*t - 2*l + 10, 3*t + 2*l = t + 10. Solve t = y*i - 2 + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64552151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 5*l**2 - l + 2. Suppose -3*c + 12 = -4*t, 4*c = 7*c. What is s(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let s = i - 4. What is the nearest to s in -0.3, -4\/3, -2\/13?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 237 - (-2 - -2). Let z be (-1095)\/(-39) + (-10)\/130. What is the greatest common divisor of j and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/(-16) - (-1)\/4. Let v be ((-6)\/(-4))\/(2\/(-12)). Let z = o - v. Solve z = -g, 3 + 7 = -3*b - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 36*q + 3. Let m = -15 + 12. Let x be v(m). List the prime factors of (-16)\/20*x\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -31. Let o be (4 + -3)\/((-1)\/(-19)). Let m = w - o. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -79.789 and 0.3?\nAnswer: 80.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqqqqbqoqoqooqqqo. Give prob of picking 1 b, 2 q, and 1 o.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 - 3 = 0. Suppose -7*y - 70 = -p*y. What is the common denominator of y and 41\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 6933*h\/2 + 3466.\nAnswer: (h - 6932)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 5030?\nAnswer: -5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5e7f (base 16) to base 11\nAnswer: 171a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(44\/16 + -3)*(26 - 85).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -20, -8, 8?\n\"Answer: 2*o**2 + 2*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*q + 356*l + 4897641*q + 8440 wrt q.\nAnswer: -2*l + 4897641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + b + 3 + b. Let l be i(0). Suppose -3*m = 2*f - 27, -14 + 80 = l*f - 4*m. What is the smallest common multiple of f and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330277.\nAnswer: 7, 67, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(832))**2 - sqrt(832)).\nAnswer: -16*sqrt(13) + 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2222, 2215, 2214, 2225, 2254, 2307, 2390?\n\"Answer: o**3 - 3*o**2 - 5*o + 2229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7. Let l = 197.9 - 198. What is the nearest to 0 in c, 4, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 21\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 1516, 3321, 5826?\nAnswer: 9031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*c + 0*c**3 - c**3 + 53*c in the form t*c**3 + m + y*c**2 + n*c and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 387850033 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 1357833?\nAnswer: 1357832.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:05 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 3*c)*(0 + 3 - 1)*(524*c**3 + 46*c**3 - 127*c**3).\nAnswer: -886*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(343)*-2)**2 + 2*((sqrt(343) + 1)*-5 + sqrt(343))**2.\nAnswer: 560*sqrt(7) + 5537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -5. What is the units digit of -24*(4\/v)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 46, 63, 70, 67, 54, 31?\n\"Answer: -5*n**2 + 42*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9 = -3*p, -5 + 4 = -c + p for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-6) - 3)\/(46\/14812). Let l be -5*2\/5*1. Let s = h - l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n + n)*(-1 + 1 + 3)*(420*n**2 - 129971 + 129971) in the form c*n**3 + f*n + q + v*n**2 and give c.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 148, 129, 106, 79, 48, 13?\n\"Answer: -2*x**2 - 13*x + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**4 - 4126865*q**3 - 102553458*q**2 wrt q.\nAnswer: -240*q - 24761190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + (72 - 82) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 - 6*q**2 - 3*q**2 + 18*q**2. Suppose c + 0*c = 0. Let o(l) = 2*l - l - 2*l + c*l. Determine p(o(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1642043 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416275, 416273, 416271, 416269?\nAnswer: 416267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 6, -5*t = -3*a + 21 + 3. Suppose 0 = a*j + 10 + 2. Is (13 - -1) + 8 + j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -10*r - 0*r. Let x be (-1)\/(-2) - 3\/(-2). Solve 0 = 6*z - 3*z - 3*o + 15, -x*z - 4*o = -r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16854491?\nAnswer: 16854491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8989.457l to millilitres.\nAnswer: 8989457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36656 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 - 77*p - 7. Give j(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5555025, 11110051, 16665077, 22220103, 27775129, 33330155?\nAnswer: 38885181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 670*s - 221. Suppose -63*x + 170 = -58*x. Is m(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u + u - 27*u - 144*u - 120*u + 43*u.\nAnswer: -263*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 6*j**2 - 35253*j - 1259043 = 0.\nAnswer: -71\/2, 5911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 - -171.03. What is the third biggest value in -0.5, -10, p, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 4*k**2 + 5*k)*(135*k - 678*k - 440*k - 78*k) - k**2 + k**3 + k**2.\nAnswer: 4245*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1045 take away 10390147956?\nAnswer: -10390147956.1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 11) to base 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*l**2 - 270*l**2 - 614*l**2 - 119*l**2 to x*l**2 + n + t*l and give x.\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h. Let i = -7 + 8. Let b(d) = -10*d**2 - 5*d - 22. Let r(o) = i*b(o) - 5*g(o). Find the first derivative of r(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -16*h + 5*h. Let y = 1.32 + -1.3. Let u = -0.08 - y. Which is the closest to u? (a) -4 (b) h (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-50)\/396 - 3\/(3 - -15) and 35\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 250, 382, 534, 712, 922, 1170, 1462?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743881?\nAnswer: 43, 83, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5647828, 5647827, 5647826?\nAnswer: 5647825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1206582 and -107\/1488.\nAnswer: 9652656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/(10\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 21, -3, 8746, 1 in descending order.\nAnswer: 8746, 21, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737373171.\nAnswer: 23887, 72733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1*(-168)\/16. Let f = 20 - x. Let b be f + 1 + (-30)\/(-3). Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116532 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/4 - a**3\/6 + a**2\/2 + 12*a. Suppose -2*t - 3 = 5*z, -7*t + 10*t + 1 = -4*z. Determine d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let g(m) = -5*m + 5. Let t(x) = 6*g(x) + 35*z(x). What is the first derivative of t(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let w(i) be the second derivative of i**4\/8 + 37*i**2\/2 - 11*i - 2. Let n(c) be the first derivative of w(c). What is b(n(a))?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 5, a: 3, g: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725 - 2646 + 179 = -19*k. Calculate the remainder when 1678 is divided by k.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 0, 5, 0.41, 122 in ascending order.\nAnswer: -1.3, 0, 0.41, 5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2613*k**2 + 16*k + 19. Calculate the lowest common multiple of 27 and m(-1).\nAnswer: 23544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - -24*66\/81. Let w be ((-30)\/4)\/(33\/(-88)). Let o = w - z. What is the second smallest value in -3\/7, o, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(69\/(-90) + 188\/705). Factor 2\/5*u + 0 + 2\/5*u**t + 4\/5*u**2.\nAnswer: 2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*2)\/sqrt(12))\/(sqrt(16)*6 + sqrt(4))*-3.\nAnswer: -6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 11*m**4\/4 - 2*m**2 - 10. Find the second derivative of x(z) wrt z.\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25431 by 2441.\nAnswer: -25431\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/356 and -5\/14?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138131*i - 139438*i - 41824 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 16463*o\/2 + 32925\/4.\nAnswer: (o - 32925)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7827, 31313, 70459, 125265, 195731?\nAnswer: 281857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(100\/(-26))*-5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 + 27*h - 8. Give b(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 531600 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798188016 to the power of 1\/3, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.07, -7\/295, 0.3?\nAnswer: -7\/295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 323702 (base 8) to base 15\nAnswer: 22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 86*y\/3 - 1849\/3.\nAnswer: -(y - 43)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.838 to zero decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 2\/15 in descending order.\nAnswer: 2\/15, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*u + u = 40, -2*h + 19 = u. Let o = 22 + 8. Let f be h\/18 - (-4)\/o. Which is the closest to -1? (a) 0.5 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1743 by -1.\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*v = 431*v - 4356. Solve n - v + 367 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/66543 and 58\/3?\nAnswer: 66543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 - 145*c**2 + 275*c - 135 = 0. What is c?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -38*o**2 + 22*o + 47. Let k(n) = -19*n**2 + 11*n + 21. Let j(q) = -6*g(q) + 13*k(q). Let b(s) = 9*s**2 - 5*s + 4. Determine -9*b(c) - 4*j(c).\nAnswer: -5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -35 + (253 - 226) - (-7 - (-1 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 3*o + o)*(-1 + 2 - 2)*(-5 + 3 - 1) as r*o + b and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455 and 1120925.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5379613 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 = -m + 3*y, -4*y - 16 = 0. Suppose -m*d + 4 = -2. Suppose -2*b = -11 - 3. Solve d*z - b = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4))**5\/(r**(-12)*r\/(r\/(r\/r**(-7\/2)))) assuming r is positive.\nAnswer: r**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812580 a multiple of 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 266*w - 248*w. Solve 0 = w*c - 3*u, 11*c - 12*c - 25 = 4*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 46462900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 - -224.0000358. What is f rounded to 6 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 36*a**3 - 22*a**2 + 64*a - 820. Let z(f) = 5*f**3 - 3*f**2 + 9*f - 117. Let i(n) = -6*y(n) + 44*z(n). What is the first derivative of i(j) wrt j?\nAnswer: 12*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*l + 2*l = -21*l + 2*l - 674, 7*l + 172 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.18 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1404, 2536, 3668, 4800?\n\"Answer: 1132*p + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -378478, -757303, -1136128, -1514953?\n\"Answer: -378825*r + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 78*m - 49. Let l(v) = 72*v - 44. What is 4*j(n) - 5*l(n)?\nAnswer: -48*n + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 654 = 5*z, -z - 3*n + 117 = -8*n. Let w(d) = 3*d + 33. Let g(y) = -1. Determine z*g(o) + 4*w(o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Suppose -3*g + 148 = 157, -b + 16 = -4*g. Suppose -3*l = d - 27, 0 = -5*l + 4*d - 13 + 58. Sort l, 2, z, b in increasing order.\nAnswer: z, 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40561*0.25.\nAnswer: 10140.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 22*w + 2. Let f be q(10). Let i be f\/12 - (-1)\/6. Calculate the greatest common factor of 16 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.1 (b) -5 (c) -1 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 16641745 and 16641741 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -5 (c) 9 (d) 3 (e) -37 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*d**2 + 907*d - 233322.\nAnswer: -136*d + 907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*f + 101 - 181, 0 = v + 4*f - 20. Calculate the lowest common multiple of 80 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670288132.\nAnswer: 2, 3, 23, 43, 71, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**26*o**16*o)\/((o*o\/o**(2\/73)*o)\/o**(1\/2)) assuming o is positive.\nAnswer: o**(-1529\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91066 is divided by 44161.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4 = -3*q, 4*q - q - 2*x + 10*x = -17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1446, 2663, 4692, 7533, 11186, 15651, 20928?\nAnswer: 27017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from rrvrrrrvvrrvvrrvrr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4410 and 88032.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 6*x - 15. Let q(m) = -7*m + 7 + 2*m**2 - 13 - 8. Let o(u) = 5*g(u) - 6*q(u). Solve o(f) = 0 for f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108640587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16529586.\nAnswer: 2, 3, 503, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 6. Let u(t) = 4*t + 5. Let g(z) = -5*h(z) + 6*u(z). Let j(i) be the third derivative of -8*i**5\/15 + 2*i**2 + 5*i. Calculate j(g(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 24*g**3 - 23*g**2 - 2*g - 39 - 11 - 50*g**2.\nAnswer: 24*g**3 - 83*g**2 - 2*g - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44337624 is divided by 544?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**2 - 925*a + 564480 = 0?\nAnswer: -441, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 28. Let l(o) = o. List the prime factors of l(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.82554484 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00926923 - 3317312.\nAnswer: -3317312.00926923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 258*l + 3099. Give h(-8).\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {i: 3, s: 2, t: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-8 - 1225213\/22) + -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:35 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -79\/7 (c) -4 (d) 3\/2 (e) 2\/19 (f) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 11*y = 10*y - 11, -4*u + 4*y + 36 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - z + 0*z)*(-40*z**3 - 199*z + 199*z) - 1 - 2*z**4 + 1 to the form j*z + u*z**2 + t + m*z**4 + l*z**3 and give m.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14680 and -4277424.\nAnswer: -4292104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 212893493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2733 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5963*d**4 - 5961*d**4 + 13*d**2 + 57*d**2 + d + d**3 to y*d + r*d**4 + q + v*d**3 + m*d**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344745 is divided by 421?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 832902953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -61. What is the biggest value in -0.2, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**22)\/(a*a**(3\/2)*a) assuming a is positive.\nAnswer: a**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 2, l: 3}. What is prob of sequence att?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*j - 11*j - 2*w + 23, -31*j = 29*j - 5*w - 230 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.243 - 22054.44226.\nAnswer: -22054.68526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 - 4 = 0. Suppose 0*i = 4*s - i - 19, 0 = -4*s + 3*i + 25. Find the third derivative of -3*u**4 + h*u**4 + 0*u**s - u**6 + 3*u**2 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-27))\/((-1330)\/8379)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u + 22. Let r be o(-6). Round r to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p = -506 - 1230. What is the remainder when 3656 is divided by p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from vppippgzpzzzpzzpp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*q = 53, 3*i - 35 = -0*q + 2*q. Let d be (15\/i + -1)*6. Let b = 7 - d. Solve 0 = -t - 4*v + b, -v - 3*v = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 316540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 + 2*g - 1. Let j be a(2). Let u(o) = 35*o**3 - 81*o**3 + j*o**3. Let s(v) = -1 + 5 - 5 + 10*v**3 - v**2. What is -2*s(y) - 7*u(y)?\nAnswer: y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j\/(j**12*j))\/j*j*j**11*j)**45*((j*j**(-8)\/j)\/(j*j\/j**(-1)))**38 assuming j is positive.\nAnswer: j**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2991*674\nAnswer: -2015934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/(11502\/1053)*(-348)\/26?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.01 (c) -3 (d) 3333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -11a9?\nAnswer: -119c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(7\/189*6). Suppose 4*j - 7 = -n*o, -o = -j - 6*o + 6. Let u = 56\/27 + -35\/27. Is j less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 590*w**2 - 4. Let t(q) = 4*q + 70. What is h(t(n))?\nAnswer: 9440*n**2 + 330400*n + 2890996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18257 divided by 1.\nAnswer: 18257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -45, -63, -101, -165, -261, -395, -573?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11752644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 - 394922*b\/3 - 46155900.\nAnswer: 2*(b - 197811)*(b + 350)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:18 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 40635 and 40636 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/6 + 11*u**3\/3 - 31*u**2\/2 + 25*u. Let m be q(9). Put m, -3, -12 in decreasing order.\nAnswer: m, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -20*p. Calculate s(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-8)\/(-3))*16. Let p be (-2)\/3 - (-128)\/l. What is the units digit of p\/(-3)*(-3 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 387525 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcoswsppwswmwpc. What is prob of picking 1 w, 1 s, and 1 c?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -2, 2, -3, 11217, -4 in ascending order.\nAnswer: -8, -4, -3, -2, 2, 4, 11217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -300720966 divided by -7098\nAnswer: 42367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (11 - (16 - 8) - -6) + -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 2*u - 1. Let j = -12 - -12. Suppose j = -4*m + 5 + 75. What is the remainder when m is divided by q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 49. Suppose -33 - 9 = -6*n. Calculate the greatest common factor of n and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 3 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53227.571 rounded to the nearest ten?\nAnswer: -53230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(6\/4) + 8 + -19. Let q be 24\/a*75\/(-10). Solve -8 = n + 3*n, 0 = -5*b - 5*n - q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 1 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*v + 135*v + 90100 = -403*v - 404*v for v.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1 + 1 - 3*k + 4*k. Let v(p) = 2*p**2 - 7. Let o(t) = -2*t**2 + 6. Let h be 0 - (6 + -6) - (-1 - 6). Let i(m) = h*o(m) + 6*v(m). Determine d(i(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -6*w**2 + 0*w - 7 + 1\/24*w**4 - 2*w**3 - 1\/60*w**5. Let t(v) be the second derivative of f(v). Determine t(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 0 - 1*-57. Let o = 155 + -153. Suppose 0 = o*k - b - 83. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -5\/3*l**4 + 5\/168*l**8 + 14*l + 8*l**3 + 23\/20*l**6 + 0 - 23\/15*l**5 - 32\/105*l**7 - 2*l**2. Factor w(f).\nAnswer: 2*(f - 2)**3*(f - 1)*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/((sqrt(90) + 2*sqrt(90))\/sqrt(9)))\/(1*sqrt(576)*-2).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 161 = 4*g, -1017282*q + 1017285*q = 9*g - 336 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 + -85. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -335, -439, -593, -815, -1123?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 7)*(-49*i - 53*i + 21*i)*(0 + 2 - 1).\nAnswer: -243*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7572997640464*h**5 + 45437980338968*h**4 + 83302941022209*h**3 + 45437925300814*h**2 - 33022885*h + 6 = 0. Calculate h.\nAnswer: -3, -2, -1, 1\/2751908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6989 - 11650 = 2*m, -5*h + 2*m = -31069. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 0, 0*r - 2*r - 332 = -3*c. What is the greatest common factor of c and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16312 and 1514977?\nAnswer: 12119816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 1, f: 1, s: 1, c: 1}. Give prob of sequence cif.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6. Suppose 4*a - 5*k - 150 = 0, u = -a - 3*k - 30 + 76. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = -72*c + 584680. List the prime factors of c.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let p be x(1). Let v = 33127 - 33140. What is the second smallest value in p, 7\/4, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -812, -386, 30, 436?\n\"Answer: -5*d**2 + 441*d - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -48*k + 0*k + 16*k - 35*k**2 - 34*k - 12*k**2 + k**3 + 79. Is f(51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -1\/4 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -41845050 to the nearest one hundred thousand.\nAnswer: -41800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -931b (base 14) in base 6?\nAnswer: -313101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g - 4. Let w be o(1). Suppose 3*v = -y + 663, -y - 266 = w*v - 1373. What are the prime factors of v?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*k + 11 + 5, v + 7 = -2*k. Let m be ((-96)\/40 - 2)*(-10)\/4. Suppose -52 = -m*w + 14. Solve -4*l = -2*a - 20, 5*l - v = -5*a - w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 - 10*f - 2. Let m(b) = -3*b**2 + 3*b + 1. Let s(n) = -2*h(n) - 7*m(n). Let u be s(4). Let q = u + -2. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let s(z) = 2 + 3*z**2 - 7 - 2*z**2 - t*z + 0*z. What is the remainder when s(6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2888282711.\nAnswer: 17, 169898983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35455869 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 + v + 4. Let s(d) = d**2 + d - 1. Let j = 997 - 999. Determine j*s(u) - g(u).\nAnswer: 2*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -6*o - 2\/9*o**3 - 2*o**2 - 75. Find p, given that w(p) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -1, -3 in ascending order.\nAnswer: -175, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/6)*r)\/r*r\/(r\/(r**(-1)*r)))\/(r**1)**50)\/((r**(-2\/5)*r*r)**(2\/5)\/((r\/r**(-3\/7))\/(r\/r**(-6)*r))) assuming r is positive.\nAnswer: r**(-59897\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 32*a - 35. Let p(x) = 16*x - 16. Let v(m) = 6*b(m) - 13*p(m). Let c(g) = g. Give 3*c(l) + v(l).\nAnswer: -13*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/3 + 82*f**4\/3 - 42*f**3 - 1162*f**2\/3 - 352*f\/3 + 520 = 0 for f.\nAnswer: -2, 1, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1398 - 489. List the prime factors of o.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737833215.\nAnswer: 3, 5, 7, 23, 305521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 13) in base 12?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + d - 16 = -4*j, -2*d = 3*j - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**5 + 807*n**4 + 402*n**3.\nAnswer: 3*n**3*(n + 134)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.95 + 1.45. Let y be 34\/60 - 1\/6. What is the closest to y in 0, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/133196 and -115\/118188?\nAnswer: 8391348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 619*f**6\/30 - f**5\/15 + f**4\/12 - 7*f**2. Let q be s(2). Let x be q + 3*(-12)\/(-9). What is x rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 - j**4\/24 - j**3\/6 + 3*j**2. Let p(h) = 5*h**2 + 3*h + 4. Let d(k) = 3*f(k) + p(k). Differentiate d(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87224.\nAnswer: 2, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 2*o + 3. Let p be z(0). Let j be (0\/p)\/(2 + -8 + 4). What are the prime factors of 1 - ((j + 4 - 4) + -73)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.236447 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -2.4, -4, -0.04 in increasing order.\nAnswer: -6, -5, -4, -2.4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19108148 is divided by 3821629.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -76. Suppose -3 = -2*q - 3*w + 8, 0 = -3*q - w + 6. Put 2\/9, n, q, 3 in increasing order.\nAnswer: n, 2\/9, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37231390 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0386397 and -31927.\nAnswer: -31927.0386397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32022235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/10 and -19\/80894235.\nAnswer: 161788470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 + 5*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 1. Calculate the remainder when y(-2) is divided by 4\/(-3)*144\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-247)\/1014*-2 + 4\/(-26).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2 + 1 + 1 - 3 + (-2 + 2 + 2)*(4 - 2 - 1))*(7*f - 5*f**2 - 7*f).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g - 2. Let q be j(-3). Let i(u) = u - 4. Let f be i(q). Suppose 0 = -f*w - w + 21. Solve 0 = 4*o + w - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1085*f**3 + 99064*f**2 + 7*f - 12877774?\nAnswer: -6510*f + 198128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by 9?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164939*x**2 - 296809*x.\nAnswer: 329878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13656305 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 199 = -4*z, 2*s - 4*z + 394 = 4*s. Let l = s - 139. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 27.07041s to nanoseconds.\nAnswer: 27070410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590 by -2.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3203416.99382 - 3203378. Let r = -39 + n. What is r rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let q be y(-2). Suppose 3*h - 6*h + 21 = q. Calculate the highest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + 40. Let i(p) = 2*p - 10. Let c(l) = -4*i(l) - o(l). Let t(z) = -23*z. Give 46*c(u) - t(u).\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*x - 120*x - 123*x + 84 = 13*f, x - 4*f = -26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 477125*g**2 + 11348222160*g - 1632567119040.\nAnswer: 5*(g - 143)*(g + 47784)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16166197 + 44573.\nAnswer: -16121624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*m = 2139*m - 19448 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -48. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*t - 14, 2*z - 2*t = t + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*r**2 + 622*r**2 + 6 + 621*r**2 - 11 + 5 - 1717*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*c + 1 + 1 = 0, -4*w + 5*c = -12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -514 or -483?\nAnswer: -483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 33 - 34 - 2*n. Calculate i(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 210, 1790, 4656, 8808, 14246, 20970?\n\"Answer: 643*w**2 - 349*w - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4*(-28)\/(-168))\/(-8))\/(22\/8).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 929195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*x - r - 24, -x = -3*r for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-7) - (-1 + 376\/28). Let c be ((-40)\/h)\/(3\/27). What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1188*w + 2*w**2 - 1188*w. Let u(b) = 23*b**2. What is u(j(n))?\nAnswer: 92*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 + 18*q - 40. Let r be x(-9). Let d = r - 183. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Let a(n) = -2*n**3 + 2*n**2 - 3*n. Determine a(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-33)*v*(v\/(v\/(v*v\/v**(21\/5))*v)*v)\/v assuming v is positive.\nAnswer: v**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)\/(1\/2). Suppose -y*t - 3 + 147 = 0. Calculate the least common multiple of t and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*f**2 + 3*f + 872684 - 16*f**2 - 872680 to the form r*f + o + j*f**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 80*f - 168. Let v be i(4). Is v equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - b - 32 = -5*b, s - 4*b = -12. Suppose s*g - 7 = -x, g + 15 = x - 17. Suppose -24*a + x*a = 75. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)*1 + 3. Suppose -y*a - 4*a + 18 = 0. Let k(z) = 3*z**2 - 3*z + 4. What is the units digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50708485 a multiple of 815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2255.79711 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678997.\nAnswer: 11, 17, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.317968 rounded to 1 decimal place?\nAnswer: -41.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:21 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15838 is divided by 304?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6117 and 0.5?\nAnswer: 3058.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2 and -51\/73000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002862 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*k = -165*k - 7524. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 69. Let z = 39 - 12. Let q be 44 - 9\/(z\/12). Calculate the greatest common divisor of q and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-156)*(-3 - (-564)\/184)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000501158 rounded to 5 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149 - -139. Let l be (-891)\/(-12) - t\/(-8). What is the highest common factor of 292 and l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 1 + 0*o**2 + o**2 - 2*o**2. Let s = 163668 - 163453. What is the remainder when s is divided by w(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqollqlh. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let s(c) = -c**2 + 5*c - 2. Let h be s(0). Calculate g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047589 or -1047599?\nAnswer: -1047599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(168\/2))\/((-7)\/(-20)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(-6))\/r*r))\/r**(-1\/26)*(r\/(r*(r*r**(1\/3)*r)\/r))**(-2\/37) assuming r is positive.\nAnswer: r**(17635\/2886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -17, -19, -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.5 less than -4.667?\nAnswer: 13.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 133511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 384, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.4 - -6.4. Let x = -0.06 + 0.46. Sort x, 0.1, i in increasing order.\nAnswer: i, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -108, -211, -314, -417, -520, -623?\n\"Answer: -103*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2 - -4) + 0. Let y be (-30)\/((-15)\/5 + 5) - -2. Let a be 8 + 66\/6 + y. Solve 2*x - a*m = -r*m, -5*m = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*g + 38 = 0, -d + 4*g - 13 = -4*d. Suppose -22 + d = -5*k. Suppose 4*b = 6 + 2. Solve b*c + k = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 1\/12*v**5 + 0 + 0*v - 1\/2*v**3 - 1\/120*v**6 + 4*v**2 - 1\/6*v**4. Suppose -12 + 0 = -3*b. Calculate r(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)\/y**(2\/25)*(y**0)**(1\/9) assuming y is positive.\nAnswer: y**(17\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.034 + -54.966. Let t = -41.5 - r. Let h = t - 13. What is the third biggest value in h, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 445*c**2 + 5*c - 445 = 0 for c.\nAnswer: -1, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0 + 0*t**2 - 1\/15*t**3 - 12*t + 1\/30*t**4. What is w in i(w) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 8*p + 22 + (-5 + 1 - 2)*(-p + 3*p + 0*p))*(-2 + p + 2) to the form v + z*p + r*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -24. Suppose 0 = -4*l + 6*j - p*j + 1, -2*j + 2 = 5*l. Put -9, 3, l in decreasing order.\nAnswer: 3, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795076.\nAnswer: 2, 198769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -27. Put -4, 5, s in descending order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3560\/33 + 1194\/11. Let l(t) be the first derivative of -16 + x*t**3 - 1\/30*t**4 + 98\/15*t - 21\/5*t**2. Suppose l(h) = 0. Calculate h.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 7*u - 40. Let w be t(-4). Suppose -w*z - 26*z + 7650 = 0. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369570 is divided by 19365?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/11))\/z**1)\/(z**(1\/2)*z**1) assuming z is positive.\nAnswer: z**(-35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0278 - 249.0278. Let l = p + 249.565. Let i = 0.5129 - l. What is i rounded to three dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 2 m when four letters picked without replacement from uohmhuummhhuhh.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -151*n**2 - 4184. Let c(x) = -2*x. Determine c(h(p)).\nAnswer: 302*p**2 + 8368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (14 - (-6 + 23))) + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/300 + r**5\/50 + r**4\/20 + r**3\/15 + 13*r**2. Suppose x(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1645*c - 273797*c - 52052*c.\nAnswer: -324204*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43108, 43102, 43096?\n\"Answer: -6*o + 43114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/35 + 225\/21. Solve 0*p + 4*p - 3*a + w = 0, 2*a + 4 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 72346 (b) 1\/2 (c) 54\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.0088 rounded to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-54) + (-47)\/(-9). Suppose 0 = -3*z - q*m + 61, 4*z - 65 = -3*m - 2. What is the second derivative of -18*r**2 - 3 + 19*r + 3 + z*r**2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 17) + 10 + 26\/4. Which is the nearest to -1? (a) 2 (b) 8 (c) k (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1.3, 4\/5, 3 in increasing order.\nAnswer: 4\/5, 1.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*u - 85, 5*m - 2*m - 47 = u. Calculate the highest common divisor of m and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 36 = -d. Let a(r) = -r**3 - 4*r**2 + r + 5. Let t be a(-4). Put d, 4, t in decreasing order.\nAnswer: 4, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/19, 4, -0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/8))**(4\/27))**(2\/51) assuming g is positive.\nAnswer: g**(-1\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 1. Suppose o*u = u + 12. What is the second derivative of -2*m - 4*m + 5*m + 2*m**u wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 534 - 522. Sort -7, 1, m, 0 in ascending order.\nAnswer: -7, m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Suppose 0 = -t + 3*a + 4, -t + 2*a = -0 - 3. Let n = z + t. Solve -n*d = 2*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94558 - -135569. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a factor of 14446371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16475 or -16490?\nAnswer: -16490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 3\/((-3)\/(-2)). Suppose -w - 2*w + 3*p + 6 = 0, 0 = -4*w + 2*p + 4. Suppose 0 = -w*m - m + c. Calculate the smallest common multiple of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -219550.32 and -0.3.\nAnswer: -219550.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 54 = 2*n, 2*g = 2*n + g - 49. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3 - 15. Let h(f) = -6*f - 16. Let n be h(m). Solve -u + 2*o - n = 1, -3*u - 3*o = -9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -500 - -502. Suppose -c*i = u - 14921, -19543 = -2*u - 2*i + 10301. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6)\/(1\/(-2)). Suppose 0 = o*c, 3*h - c - 11 = -2. Suppose -j = h*j. Which is smaller: j or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*m = 2*v - 294, -3*m = -6. Let z = v - 55. What is the remainder when 135 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*p + 3*y, 3*y + y = 4*p - 80. Suppose -4*b + 12 = -q, -2*q = 2*b - 0*b + 4. Let 7*d**2 + p - 17 - 3*d**b + d**3 + 5*d = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -887*w + 41701. Determine u(47).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20. Let o be ((-2)\/(-4))\/((-1)\/(-4)). Suppose o*f = -1 + 3. Which is the third biggest value? (a) y (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334962 or -334963?\nAnswer: -334962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h**(-11)*h*h)\/(h**(-11)*h**11) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 12*o - 6. Let v be r(4). Let x(l) = -8*l - 9. Let g(w) = -9*w - 10. Let j(u) = v*g(u) + 7*x(u). Let b(a) = -2*a. Determine b(j(s)).\nAnswer: 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 3724.\nAnswer: 14896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4439*x - 142033. Calculate n(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-886)\/(-14) - (-10)\/35*-1. Let t = f - 8. Let s = -39 + t. Solve 4*z + 5*y = -0*z - 30, -4*z = -2*y + s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(847) - (sqrt(847) + -3))*-3 - (-1*(-2 + sqrt(847)) - sqrt(847))) + -4*-6*-1*sqrt(847) + -1)**2.\nAnswer: -2460552 - 34848*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 10*c**2 + 4*c - 9. Suppose 0 = 4*a - 4*v + 48, -a + 12*v = 13*v + 8. Calculate l(a).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and -2*(-5)\/40*48?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3018503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away 17.089825?\nAnswer: -30.089825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (377\/26 + -12)*(-8)\/(-150)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - n - 2 + 2*n - 4 + 4 - 3 + n + 3 + (1 - 2 + 2)*(29*n - 59*n + 39*n) - 4 - n + 4 + 11*n - 18*n + 15*n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32787751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 156 + 7?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 86*h**2 + 326*h + 247. What is g(82)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 54380\nAnswer: 27190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*l - 153*l + 63. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 230. Let z(k) = k. Determine a(z(i)).\nAnswer: i - 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3. Let w(v) = 4*v**3 - 3*v**2 - 2*v - 1. Let n(i) = -3*o(i) - w(i). Give n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(13)*-5 + -5 - (1*(sqrt(1053) + 0) + sqrt(1053))**2.\nAnswer: -4217 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3454610882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 13*n + 55. Let r be d(-11). Let s be r\/44*(-16)\/(-18). Factor 1\/3*f**2 + s - f.\nAnswer: (f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -7802.05.\nAnswer: 546.1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 253. Let d(b) = 77*b**2 + 86*b**2 - 324*b**2 + 83*b**2 + 77*b**2. What is c(d(k))?\nAnswer: -2*k**4 + 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:25 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -1 - (sqrt(300) - 1*sqrt(300)).\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57258, -114525, -171820, -229149, -286518?\n\"Answer: -o**3 - 8*o**2 - 57236*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 225*t + 4266. Give x(-17).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*i + 28*i - 39*i - 9*i + 7*i.\nAnswer: -69*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373954482 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18706 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4\/11, -3, -361?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4599 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 4*z - 42. Let p = z - 83. Are p and 2\/59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*z = -4*j - 85, -3*j = 5*z + 49. Let t = j - -23. Suppose 37 = 4*w + t*a - 5, -3*w + 45 = -3*a. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 3.6. Suppose -p - 21 = -20. What is the biggest value in -3, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*k + 5*k - 135, 0 = 5*d - 2*k - 156. Suppose -w = -d - 10. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 9*z = 16*z. Solve z*p - 5*y + 25 = -4*p, y = -5*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401283027 + -226433027. Round q to the nearest one million.\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) - 18\/(4050\/7065).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11995100 rounded to the nearest ten thousand?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10 - 3*x - 3*x + 4*x. Let c be d(4). Solve c*q + 15 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y. Let w be m(-3). What are the prime factors of w\/((-6)\/16*-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 49*n - 7. Let d be h(7). Let i be d\/64 + 18\/(-8) + 2. What is the third derivative of -13*s**i + 13*s**5 + 2*s**2 + 33*s**6 wrt s?\nAnswer: 3960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a - a**2 + 16*a - 25*a + 1014*a**3.\nAnswer: 1014*a**3 - a**2 - 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15109 + 21399. Is (h\/(-28))\/((-2)\/14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c. Let l(h) = -h**2 - 17*h + 11. Calculate l(q(y)).\nAnswer: -16*y**2 - 68*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 5*z, z = -r + 3 + 5. Suppose -6*c - r*c = -21290. Let u = c - 16949\/8. What is the common denominator of -43\/3 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.2388117 rounded to one dp?\nAnswer: 88.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3978976234.\nAnswer: 2, 401, 4961317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2065 in -1\/11, -273, -2\/19?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*p - 20 = 0, 0 = -3*f - 5*p + 1 + 6. Suppose -2*d - 6 = d. Sort -7, d, f in ascending order.\nAnswer: -7, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(31 - 32 - 54\/(-4))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 3 - 1\/12*z**4 + 1\/3*z**2 + 1\/9*z**3 + 0*z. What is s in n(s) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88333 (base 10) to base 14.\nAnswer: -24297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 47271978?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 447, -2, -2.18, 1\/3, 0, 4 in descending order.\nAnswer: 447, 4, 1\/3, 0, -2, -2.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 30*i - 3264. Let k be o(74). Let g = 8 + -12. Let z = 2 + g. Which is the fourth smallest value? (a) k (b) 1\/6 (c) z (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2*y + 3. What is the remainder when j(-4) is divided by (-4 + 0\/1)*-3*4\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 8, -6?\n\"Answer: -14*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 11. Let s(m) = -2*m - 4. Let d(k) = 4*n(k) + 11*s(k). Let q(t) = 4*t. Let a(h) = -h. Let j(b) = 6*a(b) + q(b). Calculate j(d(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -256260 divided by -64065?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*14\/(-21)*3. Suppose a + 1 = 0, -4*o + 1 = o - a. Solve d*y = -o*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.625, 0.02, 0, 24.9, -0.4?\nAnswer: -0.625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 328?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*q = 0, 2*a - q + 5*q = -6. Find the third derivative of z**6 - 4*z**2 + 2*z**a - 2*z**3 + 0*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*a + 7464 + 16453 = -3980 - 12818 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/91 and 41\/13177?\nAnswer: 1199107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/((-2*sqrt(77))\/sqrt(7)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 - (-8 - -17) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.238 * 0.4.\nAnswer: -18.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6 + 4*g**4*t**2 + g**4*t - 20*g**2 - g*t**2 wrt g.\nAnswer: 120*g**3 + 96*g*t**2 + 24*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1457*n. Let z(r) = r**2 + 15018*r + 1. What is l(z(u))?\nAnswer: -1457*u**2 - 21881226*u - 1457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let d(n) = -n + 8. Let c be d(u). Suppose 8*w = 6*w. Solve -c*s = o - 21, w = 2*o + 1 - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/13 (b) -0.2 (c) 0.5 (d) -24\/587 (e) 0 (f) -1\/12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15706*p**2 - 404 + 404.\nAnswer: -15706*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18) + (-1)\/(90\/(-69))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 2, h: 1, d: 1, s: 1, m: 9}. What is prob of sequence dq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.48358206697 - 0.29\nAnswer: -2.77358206697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4086? (a) -0.5 (b) 0 (c) -6\/11 (d) -0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1200011110 (base 3) to base 4\nAnswer: 20002131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -163.2\nAnswer: 489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2654138.\nAnswer: 2, 29, 67, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 5*x + 17. Let g be q(7). Suppose -g*l - 15 = 3*j, 10 = -j + 4*j - 2*l. Is ((-3)\/3 - j)*-127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3639 = 4*y - 41465, y = 4*l + 11314. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40643\/389712 - 1\/8119. Let l(m) be the third derivative of -a*m**4 - 1\/48*m**5 - 5\/24*m**3 + 0 - 12*m**2 + 0*m. Determine c, given that l(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-10)\/((-2250)\/(-15))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05546106 rounded to four dps?\nAnswer: -0.0555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 4. Let r(p) = 0 + 0 + 1. Suppose 12*w - 17 = -5. Give w*n(d) + 5*r(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 73*k**3 + 7*k**3.\nAnswer: -65*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*g - 2 - 1 = 0, -q - 2*g + 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3000 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (-4*sqrt(156)\/sqrt(300))**2*-3.\nAnswer: -474\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*u - 3*g**2 + 133*g*u + 538*g + 461368688*u wrt g?\nAnswer: 4*g*u - 6*g + 133*u + 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a7428 - 0?\nAnswer: 13a7428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-228)\/180 + 2\/3. What is the third smallest value in -4\/3, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132577 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*(sqrt(104) - (sqrt(104) + sqrt(104)*2)))\/(sqrt(8) - sqrt(648)*1))**2.\nAnswer: 6*sqrt(13) + 373\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 23, 3\/7, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8906 + -6485. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 293, 1\/7, 18159?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*z**3 + 5 - 517*z**3 + 295*z**3.\nAnswer: 64*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:08 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 2688 = -0*u. Suppose 2 = 6*r - u. Calculate the greatest common divisor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 + 182. Find the second derivative of 144*o**5 - 24*o - 46*o**5 - 94*o + 44*o**v wrt o.\nAnswer: 2840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328430887.\nAnswer: 29, 79, 143357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46\/6 + -8)*1398. Let v = 483 + m. Calculate the highest common divisor of v and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 26*z + 90*z + 30*z - 10*z + 62*z.\nAnswer: 146*z + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380789197?\nAnswer: 380789197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9 and -95\/1415748?\nAnswer: 4247244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w = 52*w - 22*w. Solve w = -3*v - 5*c - 3 - 4, 3*v - c = 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(1\/6)\/j))\/j**(1\/8))\/(j*j**(1\/4))**(4\/7)*(j**(2\/5)\/j)**(-1\/22)*((j*j**4*j*j)\/j)\/(j*j**(-1\/11)*j*j) assuming j is positive.\nAnswer: j**(37997\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24533 (base 8) in base 4?\nAnswer: -2211123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136\/5 - 27. Suppose 2*k = -0*k + 6. Suppose k + 2 = a. What is the second smallest value in u, a, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1863128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 17}. Give prob of picking 2 l and 2 f.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10763 + -10758. Which is the second smallest value? (a) 1\/36 (b) s (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 1881*c - 17012. What is g(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/18 and -107\/3276.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 452867.9 millennia?\nAnswer: 45286790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(684) + -3 - sqrt(19) - sqrt(19)) + sqrt(57)\/sqrt(3)*4)*-5)**2.\nAnswer: -1350*sqrt(19) + 38700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2429 (base 15) to base 4.\nAnswer: -1320021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66152.71cm to meters.\nAnswer: 661.5271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2016)\/(-2268))\/(21\/54*4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 0.3, 1\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148401 is divided by 1253?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + 3*sqrt(57)\/sqrt(3) - sqrt(76)\/(sqrt(12)\/sqrt(3)*-1)))**2.\nAnswer: -80*sqrt(19) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 + 1)*(3*m - 2*m - 2*m)*(-29*m + 42*m + 81*m) to the form w*m + s*m**2 + x and give s.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Suppose o - 2*o = -r. Solve -o = -w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 54. Suppose j*l = -0*l + 3047. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116528090 divided by -838.\nAnswer: -139055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/736)\/((-12)\/456)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 773 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182952870?\nAnswer: 2, 3, 5, 6098429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -3 - -5) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.809921 + -1.81. What is v rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 - 4*j + 3. Let i be 4 + 2 + (-2)\/2. What is the lowest common multiple of r(3) and (4\/5)\/((-16)\/(-600)*i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 25 - 13 - 8)*(3*z**2 - 2*z**2 - 3*z**2 + (-2*z**2 + 6*z**2 - 2*z**2)*(2 - 4 + 1) + 3*z**2 - 4*z**2 + 0*z**2).\nAnswer: -55*z**3 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.212531 and 161.\nAnswer: -34.217491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291214020 divided by 5.\nAnswer: -58242804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 + 75 + 2 + 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1212250133314 + -2?\nAnswer: 1212250133312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from aavavavgvaavaavvv.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*w + 97*w - 2550. Let b = w - -2208. List the prime factors of b.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*h - 7*t, -1699*t + 1696*t = -2*h - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d - 51*d = -25. Let a(y) = y**2 - 6*y + 10. Let v be a(3). Let q be 2\/(-30) - v\/(-5). What is the closest to -2 in -0.2, d, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 15. Let z be c(-9). Let g = 6 + z. Solve -5 + 0 = i, -3*s - i - 11 = g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 130\/845 + 466\/13.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5 = 4*m, 5129*m + 19 = 5131*m - 3*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24\/439, 0.07, 5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 5492774.56.\nAnswer: 5492773.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + p**2 + 4*p - 1. Suppose -5*h - o - 13 = 0, -9*h - 3*o = -5*h + 17. Calculate d(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448330527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 12. Let w = t - 6. Let r(m) = m**2 - m + 6. Give r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379148.171 - 149\nAnswer: -379297.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:24 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 7*g - 6. What is f(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j - 24*j - 23*j + 75*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42484 and 271846?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/6285 and 18.\nAnswer: 6285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 22 + 14)*(-54*l + 16*l + 2*l) to the form w*l + j and give w.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 8989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-234))\/((-1376)\/10836*126)?\nAnswer: 1\/234","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6 - 19*w - 23 - 6. Let a be j(-7). Let p(m) = 2*m**2 + 8*m**2 - m**2 + m**3 - 95 + a. Calculate p(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002101210021211020 + -12?\nAnswer: -1002101210021211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (10 + -1 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103233\/37744 + -678\/337. What is the common denominator of 89\/56 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 71228*c + 5776034. Give q(81).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 2*j + 8. Let p be u(6). Suppose 2*d - p = -8. Suppose -2*w - 4*v = w + d, 5*v = 4*w - 15. Solve w*k = -k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpkg when four letters picked without replacement from {f: 1, g: 3, q: 5, p: 1, k: 3, y: 2}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*g + 4*z, 0*g - 5*g + 55 = 5*z. Calculate the remainder when (g\/10)\/((-1)\/(-15)) is divided by (1\/3)\/(2\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5077*i**3 + 1920*i**2 + 37521725*i.\nAnswer: 30462*i + 3840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6794 + 6795. Let u(p) = -15*p**3 + 3*p - 2. What is u(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 48*u + 85. Determine t(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 977*h + 3. Let x be j(1). Calculate the greatest common factor of 70 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/113 or -47151?\nAnswer: 6\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.9 + 43. Let v be 2*4\/(8\/3). Let r be 9\/12*((-6)\/7)\/v. What is the third biggest value in r, -1, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (-1 + (sqrt(1053) - sqrt(1053)*1) + sqrt(1053)) - sqrt(1053) - -5*(sqrt(1053)*-1 - sqrt(1053)) - (sqrt(1053)*1*5 + -5))*1)**2.\nAnswer: -1728*sqrt(13) + 269604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 21 - (71 - -22).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3557 - 1185 + 2*r - 1185 - 1187.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 - 3*i. Calculate o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 238660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = 5. Suppose -28 - 297 = -4*b + d, 2*d = 2*b - 170. Calculate the highest common divisor of b and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 24*l + 30. Let s be z(-25). What is the third biggest value in -1, -2\/7, s, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7 = -k - 0*w, w = -k + 1. Find i such that 5\/4*i**2 + 1\/2*i**k + i + 1\/4 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 281 + 70 = 141*h. Put h, -1, 4, 2, -31 in ascending order.\nAnswer: -31, -1, 2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 h when four letters picked without replacement from {r: 1, w: 7, y: 2, x: 5, h: 3}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Suppose b = -m*a - b + 48, -5*a = b - 57. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.47992015 + -0.36.\nAnswer: 21.11992015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2688\/(-324))\/14)\/((-6)\/54).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/362 or -2?\nAnswer: 1\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*f - 988501 = -64389. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6392 and 0.033806.\nAnswer: -6391.966194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (28\/6)\/(206\/309)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 0.1, 0.3, -9\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146520459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 1. Let f be w(-5). Let a(s) = 7*s**2 + 7. Let n(c) = -c**2 - 1. Let u(z) = f*n(z) + a(z). Let o(b) = -2*b**2 - 2. What is -4*o(x) - 9*u(x)?\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 8:30 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 125*c - 33. What is the remainder when d(-52) is divided by 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 29 = -8*s + 3*s, -5*m - 5*s + 30 = 0. Let i = -0.44 + 4.44. Let f = 4.2 - i. Which is the third smallest value? (a) 2\/7 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 11*z, 3*d + 3483*z = 3486*z + 75 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 12)*(-2*a + 1 - 1).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.043281438\nAnswer: -0.0043281438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -4 - 1) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 1. Let u(b) be the first derivative of 3*b**2\/2 - b + 106. What is 6*m(f) + 5*u(f)?\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z - 17*z + 88*z - 28*z - 4*z**3.\nAnswer: -4*z**3 + 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 25. Let p be a(13). Suppose 5*k - 35 = -5*x, k + 2*k - 2*x - 16 = 0. Let u = k + p. Sort 2, 3, u in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-747)\/18 - (-1)\/(-2). Let v = 47 + j. Suppose -10 = -2*a, 4*k - 163 = 6*a - v*a. Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16728 divided by 5576?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8729377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s + 2*s**2 - 22*s - 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b - 113 - 531 - 40*b + 10*b with respect to b.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46949847.38 to the nearest 1000.\nAnswer: -46950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2002*m + 30037. Calculate n(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -24*d**3 - 6*d**2 - 19. Let z(r) = r**3 + r**2 + 1. Let q(t) = -s(t) - 6*z(t). Find the first derivative of q(b) wrt b.\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(50600\/(-2645))*2*-4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48415.8 + -48416.8. Let d = -4 - -3. Suppose 2*v = 7*v - 15. Which is the nearest to g? (a) d (b) -12 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.14993 - -1.1018. What is x rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 10*z**4 + 21*z**4 + 1 + 39*z**4 to the form t*z + i*z**3 + c*z**4 + o*z**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 3\/6*4. Suppose 3*h - 60 = -w*h. What is the highest common divisor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 606 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/20*(-4*(-80)\/(-20))\/(4\/(-13))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43 - -376.57. What is the second biggest value in -2, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*n - 31561 = 0, 6*n - 12625 = -2*d + 7*n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1377937199 - 1377937196.920000198. Let z = d - 2.08. What is z rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52324 + 21305?\nAnswer: -31015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 4*y - 1. Let j(o) = -7*o**2 + 5*o - 1. Let b = -95 + -36. Let m = b - -136. Give m*t(q) - 4*j(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37810, -37491, -37174, -36859?\nAnswer: -36546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1424 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoluuoosauoouuo. Give prob of picking 1 o, 1 s, and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:51 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b - 12. Let u(x) = -2*x - 2. Let g(l) = t(l) - 4*u(l). Let f(h) be the second derivative of -h**3\/6 + h**2\/2 + h. Let o be f(4). Determine g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -23*f. Let j(r) = -r - 2. Let v(p) = p**2 + p + 2. Let u(z) = -j(z) - v(z). Determine u(n(c)).\nAnswer: -529*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Suppose -d = -c - 30. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 72 = 2*t. Let a = t - -47. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 1. Let v(l) = -10*l**2 + 2*l + 5. Determine 3*j(k) - v(k).\nAnswer: 7*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1619.9 * 27.4\nAnswer: -44385.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*s + 25, 258*v + 4*s = 255*v - 10. What is the fifth biggest value in 0.06, 1, -5, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let k(h) = -213808*h. Calculate c(k(b)).\nAnswer: -45713860864*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2084011 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 1, u: 1, x: 3, o: 1, b: 3}. Give prob of sequence ubb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*x = 185*x - 72 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + 6 + (-1 - 27)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 56 = -z + 3*z, -q - 2*z - 30 = 0. Let u = 113 + q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221831618, -221831616, -221831614, -221831612, -221831610?\nAnswer: -221831608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -148895, -297773, -446651, -595529, -744407, -893285?\n\"Answer: -148878*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/312287 and -54\/494125.\nAnswer: 39035875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17867 and 18.5315?\nAnswer: 17848.4685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -13*z**5\/30 - z**4\/12 - z**3\/6 + 3784*z**2. Determine f(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*u + 12*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lylllylylymylyymly. What is prob of sequence mmy?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185943172 divided by 4?\nAnswer: 46485793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -99. Let o be h\/20*(1 - -1). Suppose 2*t + 30 = 5*t. Solve 2*b + t = -3*x + 1, 3*x = -o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1.954705.\nAnswer: 0.5864115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254871 is divided by 2531?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 234*z - 1159. Let v be s(5). Solve 4*g + 3 + 8 = y, -g + v = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-72))\/(1\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 14) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(1\/6))\/g)\/((g**(2\/13)*g)\/g))\/(g**(-4\/5)\/(g\/g**4)) assuming g is positive.\nAnswer: g**(-593\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvy when four letters picked without replacement from yykykykvkkvy?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.05 - -0.05. Let r be (2 + -2)\/(3 + -2). Let f = 14\/27 + -184\/459. What is the closest to f in p, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/50 - x**3\/15 + 5*x. Determine s so that c(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111 + -110001111101100?\nAnswer: -110010011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 167.90638113141?\nAnswer: 169.90638113141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 4*v - 8. Let a be k(3). Let f = a - 98. Calculate the least common multiple of (f\/(-35))\/(4\/10) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13131, 13141, 13181, 13269, 13423, 13661?\n\"Answer: 3*l**3 - 3*l**2 - 2*l + 13133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**4 - 29*s**3 + 29*s**3)*(12 - 69 - 58 - 3 + 5 + 0 + 3 + 0 - 1 + (0 + 0 - 2)*(-1 + 4 - 5))*(3 - 3 - 4).\nAnswer: 3852*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119790 = 6*a - 3636*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -427 smaller than -429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i + 16365895. Let m = -2223179 - i. What is m rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d**(1\/2)*d**(2\/5)*(d**(2\/5)\/d)\/d assuming d is positive.\nAnswer: d**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2. Let k(v) = 126*v**2 + 15148*v - 2. What is k(b(w))?\nAnswer: 126*w**4 - 15148*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 + 3*j + 5. Let k be c(7). Let x = -47 - k. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let l(q) = q**2 - 42*q. Determine c(l(h)).\nAnswer: -h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, 0, 10, 806 in decreasing order.\nAnswer: 806, 10, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4386)\/11696)\/(24\/7424)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w + 4*w - 6*w - 8*w - 111 - 2*w in the form y + c*w and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8538079 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -8. What are the prime factors of (-16)\/b - 9\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 29*s - 28829. Give d(-156).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*-1*-5)\/(sqrt(60)\/(sqrt(90) + sqrt(10)) - sqrt(6)))\/((sqrt(432)*2 - sqrt(432))\/((sqrt(132) + sqrt(132)*-2)\/sqrt(11))))**2.\nAnswer: 2000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -805, -5\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 + 24467?\nAnswer: 24426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 + 130. What is the second biggest value in -3\/4, d, 1.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + b**2 - b. Give z(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9738)\/2164*8\/(-54).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -258, -737, -1650, -3141, -5354, -8433, -12522?\n\"Answer: -24*i**3 - i**2 - 18*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0300999 years in millennia?\nAnswer: 0.0000300999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -6. Let b(p) = 13*p**2 - 2*p + 11. Let t(n) = -32*n**2 + 10*n - 23. Let x(i) = -5*b(i) - 2*t(i). Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -37.2. Sort 0.1, v, -0.4 in increasing order.\nAnswer: -0.4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 3. Let p = 4 + -1. Give d(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1716*m**2 + 14888*m - 20026776 with respect to m.\nAnswer: 3432*m + 14888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 1)*(-6)\/(-9). Suppose 4*w - 6*u + 2*u = 120, m*w + 2*u = 40. Calculate the remainder when 47 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**7\/840 - n**6\/360 - n**5\/120 + n**4\/24 - 2*n**3 - 7*n**2. Let t(u) be the first derivative of v(u). Solve t(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:27 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxx when three letters picked without replacement from xuuonqu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/7 - 850*n**3\/7 - 524526*n**2\/7 - 54688150*n\/7 + 111481172\/7 = 0 for n.\nAnswer: -187, 2, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*r + 74*r + 72*r - 4*k + 2 = 0, 3*k = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in 3, 2\/5, -0.0461?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-0.12.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1709, -1717, -1719, -1709, -1681, -1629?\n\"Answer: k**3 - 3*k**2 - 6*k - 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43273 divided by -67?\nAnswer: 43273\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 61\/4 of a minute?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 5*p + 4. Let k be f(1). Suppose k = u - 8 + 2. Suppose -u*g = -956 - 46. What are the prime factors of g?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135 in -237, -2\/9, -4\/3, 7?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-23))\/((-32)\/4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107262667 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -27. Suppose 3*t - 21 = -4*k + 3, t - 10 = -q*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -14 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85223635 > 85223635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.048 + 0.952. Which is the second biggest value? (a) 4 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, 79, 94, 105, 106, 91, 54?\n\"Answer: -c**3 + 7*c**2 - c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103000020311 (base 4) to base 8.\nAnswer: 23001065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381801 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 552161885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 13944*p - 346725.\nAnswer: -3*(p + 25)*(p + 4623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -26*v + 560. Let a = 541 - 526. Are v and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -4\/7, -55813, 2, 0.03, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1142144 - 361*b - 1142144 to v + o*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 6 - 6 + 31*m**2 + 0*m.\nAnswer: 31*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19140264 divided by 8\nAnswer: 2392533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/8 - 1785*d**3\/8 + 78121*d**2\/8 - 882483*d\/8 + 201537\/2 = 0.\nAnswer: -1828, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - s + 13, 4*b - 4*s = 4 + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {c: 2, i: 2, e: 2, h: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 25*d**2 + 142*d - 168.\nAnswer: (d - 1)*(d + 12)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (4 + 14)) + (-14 - -18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1050*m**2*z**5 + m**2*z + m*z**2 + 13122*z**5 - 1711*z**2 - z - 1042 wrt z.\nAnswer: -63000*m**2*z**2 + 787320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/3184 and 19\/52.\nAnswer: 41392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -28. Solve 0 = -0*j + f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6782 rounded to 2 decimal places?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(128)*-2)**2 + 1 + -4)*-3.\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-121) + 10465808\/31110068.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/6)\/(2\/(-6)). Let j(f) = 197*f**2 + 23*f - 1. Let z be j(-3). Let h = -1703 + z. Solve 4*p + 31 - w = h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = m, -2*m = 34*u - 31*u + 24 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 13172*y**3 + 13171*y**3 + 3*y**2 + 13191*y**3 - 52708*y**3 + 13170*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6730*j - 3062934 = -9040*j - 9151*j - 246861 for j.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-1)\/((-2)\/6). Let k = f + -2. What is the third derivative of 1 - 2*w**3 - 3*w**2 - 1 - w**k wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2*s - 29. Calculate r(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 3*k - 2*k)*(-4*k - 2*k + 4*k) - 3168*k**2 - 891*k**2 + 283*k**2 to the form u + j*k + p*k**2 and give p.\nAnswer: -3772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*d + 42*d**2 + 23*d**3 + 4*d - 5.\nAnswer: 23*d**3 + 42*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20286 and 1543346?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10003041 (base 7) to base 13\nAnswer: -22b43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 890, 0.2 in descending order.\nAnswer: 890, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14*l = 3*v + 10, -4*v = -2*l - 72. Solve 0 = -v*x + 56*x - 111 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77 (b) -0.4 (c) 58 (d) 0.3 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 16*b + 11*b - 4*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10471 + 487588.\nAnswer: 487587.89529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692344 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 352 divided by -88\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/13))**(3\/22) assuming l is positive.\nAnswer: l**(3\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.5 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/217 in -1\/2, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/3 + 905726*z\/3 - 14492128\/3 = 0.\nAnswer: -452879, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9, 4, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 25762989?\nAnswer: -25762991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p. Let y(m) = m**2 + 5*m. Suppose -i - 3*t = -11, i - 5*t + 7 = -3*i. Give i*y(l) - 5*k(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*x - 634*x - 22*x**3 + 7*x**3 - 10*x**3 + 325*x.\nAnswer: -25*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1253 - 10105\/8. What is the common denominator of v and -59\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.396842 months in years?\nAnswer: 1.1164035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**6\/360 + 13*w**5\/120 + 47*w**4\/6 - 45*w. Let c(q) be the third derivative of f(q). Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 + 9 = 0. Suppose v - 30 = -h*b, -b - 28 = -3*v + 23. Calculate the highest common factor of 126 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-1190.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -129875, -129820, -129767, -129716, -129667?\n\"Answer: -h**2 + 58*h - 129932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 943 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:14 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008847 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/730 and -97\/146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzztyyyfrzptzy. Give prob of picking 1 p and 1 z.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:09 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9406717*k**2 + 2932*k**3 + 9406717*k**2 + (k - 3*k + k)*(-k + k + 2*k**2).\nAnswer: 2930*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 82*q. What is w(-1)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-12 + 3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 646532\/27 + -23943. Calculate the common denominator of h and -8\/11.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152625 and 91575?\nAnswer: 457875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/112)\/(4\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Let i = -1 - -5. Suppose -4*x - 2*j + 2 = -9*x, 5 = 5*j. Sort i, u, x in descending order.\nAnswer: i, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10224 + -6698. Let k = -877 + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6042898 and 8638?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2171990 and -27\/4640.\nAnswer: 1007803360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1287000\/(-35100)*(-12)\/(-22).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:37 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 13*o - 4. Let v be l(-6). Suppose 0 = 8*h + 5190 - 526. Let f = h - -596. Solve v = 5*i + f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.28 - -13.28. What is the nearest to 2\/7 in s, -3\/2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312 - -2222220?\nAnswer: 2220302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 124936.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18446 is divided by 126?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 2, q: 4}. Give prob of picking 2 q and 1 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6435 is divided by 2143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - w**2 + w**2)*(4*w - 274 + 391 - 872).\nAnswer: -12*w**3 + 2265*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46*((-68)\/(-8) - 2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 49*q**2 + q + 24. Let d(u) = 3*u**2. Determine j(d(g)).\nAnswer: 441*g**4 + 3*g**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(6480) + 2*sqrt(6480)))\/(-2*sqrt(45)\/sqrt(5) - ((sqrt(45) + sqrt(270)\/sqrt(6))\/sqrt(5) + sqrt(9))).\nAnswer: -216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 - 2*t. Let r be w(2). Suppose 4*q - 2*b - 26 = 0, -8 - 12 = 4*b. What is the highest common divisor of q and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -18 + (-12 - -29) - -24\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 108.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from wiyviivhivvvyyywvdiy?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/10 - ((-630)\/12 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/13 - 20*y**2\/13 = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 39. Suppose -a + 0*a + 5*y + 141 = 0, 0 = d*a - 2*y - 751. Let v = 234 - a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317.09 + 310. Let i = -0.221 - -0.011. Let a = t + i. What is a rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1\/20)*c**(-2\/31)\/c)\/(c**(28\/3))**(-4) assuming c is positive.\nAnswer: c**(71273\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.8 in -1\/4, 2\/4741, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 2962?\nAnswer: 79974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 6 + -8 + 23 + -13?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 - 6*p - 2. What is w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15668838*i = 15668950*i + 2912 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by ((-11)\/2 + 3)*(-56)\/5?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-6)\/(-3) + (-658)\/21). Let l(u) = -12*u**3 - 2*u**2 - 2*u - 1. Let k be l(-1). Calculate the highest common divisor of k and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*j + 2*j - 18, 0 = 2*o + 5*j - 24. Suppose 2*s + 4 = -0*s - 2*f, 3*s + 4*f + 10 = 0. Solve n - o - s = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 2*l + 0*l - 2*l - 272*l**2.\nAnswer: -272*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1326676 and -125\/43524?\nAnswer: 35820252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100030 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 8*k**2 + 332*k - 3489. Give o(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*i**4 - 3040*g*i - 7862680*g - 1183*i**4 + 1 wrt i.\nAnswer: -8*g*i**3 - 3040*g - 4732*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + -4 - (-7 - -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from cddcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 126*q - 2064. Let k be h(81). What is the highest common divisor of k and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -6)\/27 + (-8)\/(-30). Sort y, 4, 0, -18\/11 in ascending order.\nAnswer: -18\/11, 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1 + 0)*0. Suppose 0 = 5*x - 13 + 3, p = -5*d - x + 12. Solve o + d*o = -3*w + 6, -4*w - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7730 = -24*o + 7682 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001094955 to six dps.\nAnswer: -0.001095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13736\/5 + 2738. Find the common denominator of -73\/342 and h.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p - 19. Let a = -33 - -28. Let s be y(a). Suppose -9*g + 12 = -s. Calculate the greatest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 112 = -4*a, -a + 2*z + 46 = 6*z. Suppose t + 2*t = -5*k - 36, -3*t - a = 4*k. Let s(x) = x**3 + 7*x**2 + 6*x - 3. What is s(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 959.998 to the nearest 10.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(150)*3 + sqrt(6))\/(sqrt(144)\/sqrt(3))*-2.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800c7 (base 16) in base 6?\nAnswer: 210355423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1673607*b**5*m**2 + 3*b**2*m**2 + 100375*b*m**2 - 28 wrt b.\nAnswer: -33472140*b**3*m**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -98*p**3\/3 + 5*p**2\/2 - 6*p - 86. Find the second derivative of v(i) wrt i.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Suppose 3*n - 907 = 2*m, -t*m + 7 = -n + 314. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -436 + -104310?\nAnswer: -104746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 + 1 - (16 + -24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 292 and 3614.\nAnswer: 1055288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(-2*j**2 + 0*j**2 + 3*j**2 + (-4*j - 2*j + 2*j)*(2*j - 3 + 3) - j**2 - 9*j**2 + 3*j**2) to the form l*j + o + b*j**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*z - 2*x - 7979 = 0, -4*z - 79*x + 161*x - 212 = 78*x for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33352 and 24.\nAnswer: 100056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*m + 8 = 0, h - m - 4*m = 0. Let b(x) = 2*x**2 - 7*x + 3. Calculate the lowest common multiple of 6 and b(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32673307699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000532512194 to seven dps.\nAnswer: 0.0000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 5*f**5 - 2*f**5 + (-3*f - 15*f - f)*(89 - 133 + 146)*(-3*f**4 - f**4 + 6*f**4).\nAnswer: -3875*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 1. Let y(x) = 3*x**2 + 6*x + 0*x**2 + n*x**2 + 0*x + x**3 - 2. What is the remainder when y(-7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 2*k - 5*k - 2)*(-2*k + 1 - 1 - k + 2 - 2 + (-5 + 1 + 8)*(-1 + 1 + k) - 33*k + 12*k - 23*k) to the form t + x*k**2 + p*k and give x.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 32*x**5 - 152912*x**4\/13 - 995142*x**3\/13 - 120454*x**2 + 9724*x = 0.\nAnswer: -13\/4, 0, 1\/13, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11767840)\/121752)\/395 + (6\/(-27))\/(1*-1).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/((-152)\/10)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(2\/9))\/c)\/c)\/c)**30\/(c**2\/c)**(-1\/13)*((c**1)**(-4\/13))**(-50) assuming c is positive.\nAnswer: c**(-1477\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 + 9*f + 182. List the prime factors of d(-9).\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 5*o + 2. Let d(a) = 2*a**2 + 14*a - 6. Let c = -429 - -421. What is c*k(b) - 3*d(b)?\nAnswer: 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*102398\nAnswer: 102398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/8 + 5*i**4\/8 + i**3\/2 - 5*i**2\/2 = 0.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 25 = 3*m, -5*m - 9 = -2*m. Let b(h) = h**2 - 8*h + 3. Let d be b(u). Find o, given that -7\/3*o**4 + o**2 + 0 + 2\/3*o - o**5 - o**d = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127496 = -5*y - 2*o, 0 = 10*y - 8*y + 4*o - 51024. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 73\/3*(-13 - -10). Let k = s - -75. Let d(t) = -2*t**k + 9*t - 5*t**3 + 10*t - 1 - 21*t + t**2. Calculate d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1550, -1527, -1506, -1487?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 7*l**3\/6 + 7*l**2\/2 - 7*l. Find the first derivative of x(w) wrt w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -71, -124, -197, -290, -403, -536?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -175*u**2 - 63*u. Let d(p) = 11*p**2 + 4*p. Let b(j) = -63*d(j) - 4*l(j). Let k(h) = 4*h. Give b(k(w)).\nAnswer: 112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4576*z - 1179*z + 2088*z)*(1 - 4 + 5).\nAnswer: 10970*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*k - 156 = -401, -o = -k + 49. Let g = 52 + o. Suppose g*w + 2*w = 2*u + 839, 5*w + u - 848 = 0. Is w a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 91601967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in -0.2, 1\/114, -1?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35336 (base 7) to base 12.\nAnswer: -5318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4 = 4*b, g + 14*b = 16*b + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*35.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + j**3 + (-6 - 20 + 6)*(393*j**2 - 118*j**3 - 393*j**2).\nAnswer: 2361*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - -3.7. Let s = -52\/3 - -18. Let n be 5\/((1 - 2)\/1). Which is the closest to s? (a) n (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - q + 1 + 1, 1 = -2*r + q. Sort r, -2, 0.3 in decreasing order.\nAnswer: 0.3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/555 and 49\/999?\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/65)\/(2\/(-3))*15\/9. Find t, given that -t**4 - 1\/4*t**5 + 0 + 0*t - 5\/4*t**3 - h*t**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -14, -1, 1, 12 in ascending order.\nAnswer: -14, -1, 1, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 46*y**2 + 372*y - 975. Calculate z(-10).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3*z**4 - 53\/2*z**3 + 43\/2*z + 7*z**2 = 0. What is z?\nAnswer: -9, -1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d**2 - d - 4. Let w be x(-3). Let n(f) = f - 8. Let p be n(w). Suppose 3*u + 3 = p, 4*v + 12 = -v - 2*u. Are -2 and v nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2 + 264 = 0. Suppose -34*p + m*p - 164 = 0. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 3:38 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 11*u**2 + 11*u - 6. What is o(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1348*o**2 + 2694*o - 7. Calculate m(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2852 (b) -5 (c) -11 (d) 7 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 621*g**3 - 525*g**3 - 1200 - 4*g**4 - 750*g + 132*g**2 - 2*g = 0. Calculate g.\nAnswer: -2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(2 - 2 - 2*r) + 94*r - r - r as n*r + u and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33366 and 136522550?\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.100925 rounded to 2 dps?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 27\/(-6))*(35 + -33). Solve 0 = 2*q + 3*k + 1, 9 = a*q - 5*q - 5*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23382 = 83*u + 5952. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkvkvgkkuuuug. Give prob of picking 1 u, 1 v, and 2 k.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) -5.6 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109.97 - 110.02. What is the closest to -0.2 in t, 2, 2\/427?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + -238. Solve 0 = r*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16*1)\/(((-6)\/(-5))\/(-2))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -i - 5*a + 11, -5*i + 2*a + 82 = 0. Let k = 12 + -8. Calculate the lowest common multiple of i and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44603, 44605, 44635, 44699, 44803, 44953, 45155, 45415?\nAnswer: 45739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 31 + 95)*(2*x + x**2 - 2*x + 0 + x**2 + 0 + (4*x - x - 4*x)*(5*x + 4 - 4))*(1 - 1 + x).\nAnswer: -429*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5053 + 2067 = 20*o. Which is smaller: 358 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -164.6. Let w = 8.4 + x. Let l = -36.00000013 - w. Round l to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768929 times -5?\nAnswer: -8844645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 0 + -31 - (57 - (97 - 46)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -6 + 20 - 31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105.6 - 91. Let d = t - 17. Round d to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 4:41 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123430 is divided by 508.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 20*q + 40. Let b be x(-19). Let t be b\/84 + 1842\/(-8). What is the remainder when 50 is divided by t\/(-14) - 8\/(-14)*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -879, -2004, -3599, -5670, -8223?\nAnswer: -11264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -139.\nAnswer: -7\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-12 + (12 + -10 - -3) - -11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005847642285 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24 - 1187*z + 1166*z + 33 + 2*z**2. Let b be (-4)\/(-8)*-20*-1. What is t(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:09 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -25, -45, -71, -103?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let z(k) = 2*k + 301. Determine z(u(r)).\nAnswer: -2*r**2 + 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2*2\/(-9))\/((-36)\/(-162))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/10 - 40349*w**2\/10 + 28730492*w + 1286273741464\/5.\nAnswer: (w - 22676)**2*(w + 5003)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from lxldydxu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 1.699993. What is r rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7.3. Let o = -1.9 + 2. Which is the closest to o? (a) 5 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -30. Let v = 1 + -3. Sort -4, v, m, 3.\nAnswer: -4, v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (87*z**2 - 48*z**2 + 113*z**2)*(6 - 6 + 5) as m*z + u + b*z**2 and give b.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + (sqrt(60)\/sqrt(192))**2).\nAnswer: -sqrt(5) - 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Let a(b) be the third derivative of b**4\/8 + b**3\/2 + 463*b**2. What is a(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 41. Sort -2, -1\/5, 2, a in increasing order.\nAnswer: -2, -1\/5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5917514.00000256 - 5917480. Let i = -218 + 252. Let h = i - w. What is h rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (551830\/(-11910))\/((-1520)\/1518 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4314683, 8629360, 12944037?\nAnswer: 17258714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-333)\/555?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwlwllw. What is prob of sequence ll?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -243311 (base 5) in base 2?\nAnswer: -10001111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:09 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9d59 (base 15) to base 13\nAnswer: 12270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -55*o**3 - 5620*o**2 - 6575*o - 1010 = 0.\nAnswer: -101, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 + 37*m**3 - 347*m**2 + 587*m - 276 = 0.\nAnswer: 1, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**2\/7 - 42*v + 282\/7 = 0.\nAnswer: 1, 47\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(208)*-2)**2 + 5 + -3 + sqrt(208) + -1.\nAnswer: 4*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -1136\/65?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/5 - 106*p**4\/5 - 273*p**3 - 5926*p**2\/5 - 10796*p\/5 - 1416 = 0.\nAnswer: -5, -3, -2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 53*n - 951. Calculate f(19).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 35.9. What is the biggest value in -3.1, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*f + 189*f + 167*f + 165*f + 162*f + 250*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 + 21*s + 21. Let k(h) = 4*h**2 + 10*h + 10. Let q(f) = 3*c(f) - 7*k(f). Suppose -d - 3*d = 20. Let t be q(d). Solve -4 = t*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 12?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 50. Suppose 4*n - 2 = -u. Let y(t) = -t**3 + 2*t - 1. Let a be y(1). Sort n, -10, a in ascending order.\nAnswer: -10, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 879.026 - 879. Let x = 1.99 + -2.0422. Let d = x + k. What is d rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4832, -10024, -15576, -21488, -27760?\nAnswer: -34392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022022 (base 3) in base 5?\nAnswer: 12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81458888.\nAnswer: 2, 7, 997, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 6*q**2 + 22*q + 3. Let h be g(-5). Let p(v) = -202*v - 34. What is the tens digit of p(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0077 and 42.882.\nAnswer: 0.3301914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1047*w**2 + 14*w**3 + w**4 + 5*w + 522*w**2 + 524*w**2 as u*w**4 + r*w**2 + g + z*w + s*w**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 2. Let a be b(0). Sort -4, a, 3 in descending order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2440372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -91, -352, -787, -1396, -2179, -3136, -4267?\n\"Answer: -87*t**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 s when three letters picked without replacement from uszsuszuusuzuzz?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - 6*z**4 + z**4 + (-z**4 - 2*z**4 + 2*z**4)*(0 - 5 - 4) - 2*z**4 + z**4 - z**4 as b*z + n*z**2 + h*z**4 + u*z**3 + w and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 - d**3\/6 - d**2 - 580*d + 1. Let f(v) = 3*v**3 - 6*v**2 - v - 3. Give f(j) - 3*l(j).\nAnswer: 6*j**3 - 6*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9617 + 335. Let k = 15471 - q. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-56)\/1)*(-156)\/(-26)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-15)*(v*v*v**(1\/11)\/v*v)**23 assuming v is positive.\nAnswer: v**(199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1570108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 3*q - 1. Calculate w(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 43 = -56 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -6*y**5\/5 - y**4\/12 + y**3\/6 - 3*y**2\/2 + 25*y. Is g(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 - 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0325756 and 0.4.\nAnswer: -0.01303024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 - 4 - (1 - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + d - 3*d - 74 = 0, -2 = 2*d. Let t = b - 34. Let l = t + 31. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**3 - v**2\/2 - 7. Let s(l) = 3*l**2. Let z(x) = -3*a(x) + 2*s(x). Factor z(r).\nAnswer: -3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((-244)\/(-183) - (-8)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1725 and 8?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1394171631 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u**2 + 8. Let f be z(0). Solve 4*h = -0*h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:33 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 20*h = -4. Let r be (1 + (-18)\/16)\/(-1). Which is the second biggest value? (a) r (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006577822 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*a**3*k*w**2 + 63*a**3 + 3*a**2*k**3*w**2 + 4*k**3*w - 2*k**2*w wrt w?\nAnswer: -92*a**3*k + 6*a**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1867261710 rounded to the nearest one hundred thousand?\nAnswer: -1867300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15 - 1 - 10*t + 8*t**2 - 3*t**2 - 4*t**2. Let m be b(9). Factor -50*n**5 + 2*n**2 - 18*n**3 + 63*n**5 - 28*n**5 + 54*n**4 - 39*n**m.\nAnswer: -2*n**2*(3*n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22364516 divided by 3?\nAnswer: -22364516\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 730\nAnswer: 23\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*y + 394 = -0*y, -3*w - y + 236 = 0. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Suppose -t*f - 345 = -9*f. Suppose -2*q - q = -f. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -1*sqrt(70)*1)*-5)\/(sqrt(250) + -2*sqrt(250) + (-2*sqrt(640) - sqrt(640))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 14) in base 3?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 10. Let w = 38 + -34. Suppose -5*h - 48 = a - 17, -8 = w*h + 5*a. Determine d(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111110101 + -100?\nAnswer: 101011111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-127)\/(-5) + 18\/30 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 466472*b + 466470 = 0 for b.\nAnswer: 1, 233235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/92*(32\/3)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlu when three letters picked without replacement from {l: 3, u: 3, h: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((l - 3 + 3)*(1 - 1 - 2) - 49 + 5*l + 49)*(-8*l**2 - 15*l**2 + 3*l**2) in the form j + s*l**2 + b*l**3 + p*l and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12474 divided by -27\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (-1 + sqrt(448) - sqrt(448)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 2. Suppose 0*m = m - x. Suppose m*c + 2*c - 8 = 0. Solve -14 - c = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, 4\/13, 9\/2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46\/7 in 20, 3, 1\/5, -9.4, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456415 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 0*c - 14 - 7 = -2*c - 1, v - 4*v - c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -65. Let s be 11\/(-44)*j\/10. Which is the nearest to s? (a) -1\/3 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - ((-7 - (-14 - (-2 + 4))) + 2 + -14).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = -2*z, -3*k + 0*z + 2*z - 13 = 0. Let j be ((6\/5)\/2)\/(1\/k). Which is bigger: j or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115267\/11 + 10479. Which is the closest to 3? (a) 0.3 (b) -5 (c) -121 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (31 + -24 - 2 - 0)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*t**3 - 3*t**2 - 2*t**2 - 112*t**3 + 5*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -44. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635467 to the power of 1\/2, to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 7*f**3\/6 + 3*f**2 + 11702*f. Let y(n) = -8*n - 5. Calculate 4*w(r) + 5*y(r).\nAnswer: -12*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 783960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 149 - 135 - (12 + 0) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 6*z**2 + 64*z + 16. Let l be p(-4). Solve 5*x + l = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 26*f**2 - 3*f + 3. Let o(h) = 805*h**2 - 92*h + 92. Let t(r) = 92*b(r) - 3*o(r). Let l(w) = -35*w - 8*w + 41*w. Determine l(t(c)).\nAnswer: 46*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, o: 5}. What is prob of picking 1 o and 1 i?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 6 - 6\/(-4). Suppose -2*h + 8*h = 108. Let j = 16 - h. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*m**4 - 127*m**2 + 80*m**2 + 3*m**4 wrt m.\nAnswer: -4368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -968361 - -968361. Let j = 80 - 163\/2. Which is the third biggest value? (a) 0.3 (b) t (c) 1\/10 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 13. Let x(y) = -93*y. Determine x(o(s)).\nAnswer: 93*s + 1209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466*c - 2470*c + 3 = -3*i + 30, 0 = -4*c + i - 33 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -1100000010010?\nAnswer: -1011111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15331.\nAnswer: 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgksksgs. Give prob of sequence ss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5960125m to nanometers.\nAnswer: 596012500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmeb when four letters picked without replacement from {e: 1, x: 5, m: 1, b: 9}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/223594850 and 38\/15775?\nAnswer: 223594850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*x + 4. Let j be (0*(-1)\/(-2))\/(-2). Suppose 2*w + 5*n - 29 = j, n - 2 = 3*w - 3. Let b(h) = -2*h**2 - 2. Let u(a) = 1. Determine w*u(i) + x*b(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123758*u = -123697*u + 2074 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l*l**(-2\/11)*l)\/(((l**(-5)\/l)\/l)\/(l**(4\/7)*l)) assuming l is positive.\nAnswer: l**(2323\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 752373551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -141. Let h = -57.2 - s. What is the second biggest value in 4, 0.5, h, -21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1554 divided by 1853\nAnswer: -1554\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**3\/3 - 26*c**2 - 4*c + 32. Determine l(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -2b?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (9 - -9 - 20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 23*r - 53 - 43. Put -5, r, -3, 9 in increasing order.\nAnswer: -5, -3, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 14. Let i = k + 4. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 36. Let d(r) = -244*r + 7. Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21678\/1787 or 12?\nAnswer: 21678\/1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 924315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4887544 - 108416.8.\nAnswer: 4779127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*d**3*u + 164*a*d**3 - 23*a*d*u**2 + d**3*u**2 - 2*d**2*u**2 wrt u?\nAnswer: -46*a*d + 2*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:25 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 19. Let w(y) = y**2 + 5*y - 2. Let j be w(i). Is 3 a factor of 1\/5 + j\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2. Let l(n) = -345*n. Determine l(w(u)).\nAnswer: 1035*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/8263595 and -8\/3?\nAnswer: 24790785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/20*(-182)\/1404*24.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**2 - 4*l**2 + l**2. Let h(z) = 219*z - 3*z**2 - 450*z + 231*z. Calculate h(r(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:15 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-72) - (-320)\/630. Let k = 0.09 + 4.91. What is the third smallest value in 1, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*t - t + 5*t + 2)*(-27 + 32 - 23 - 30) as l + w*t and give w.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 168, 273, 286, 129?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 4726*n**3 - 2148*n**3 - 2595*n**3 + 4*n.\nAnswer: -17*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 50. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2 = -2*c, 2*o - 12 = -c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345 + -4487\/13. Let k = -0.87 + 1.301. Let v = -0.069 - k. Which is the third smallest value? (a) v (b) -0.01 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4326890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 30764*v. Let j(o) = 3*o**2. Give j(y(d)).\nAnswer: 2839271088*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -9 (b) -7\/162 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -1\/4, 127\/4, 1\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -397*x + 396*x + 37980, 151918 = -4*c + 5*x. What is c rounded to the nearest 100?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/48714 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*v + v + r, v - 5*r = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 - -41ab2d?\nAnswer: 41ab70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -9)\/((-23 - -18)*(-2)\/10). Solve 8*a - h = 7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.6, -0.3, -2\/15?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 12:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 1510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 844 = -416. What is the highest common factor of 54 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5402 - -5540. Calculate the least common multiple of r and 460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (-4*sqrt(104) + sqrt(104)))\/sqrt(8) + sqrt(1053) + -2.\nAnswer: -2 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 250*h + 1462. Determine x(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-414)\/(-15) - (-16)\/40. Let q = 51 - m. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*y + 791*y - 98*y to i + x*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k\/(k\/(k\/(k*k*k*k**(2\/15)\/k*k)))*k)\/(k**11\/k*k**7*k))**(17\/4) assuming k is positive.\nAnswer: k**(-4879\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 7 + 360*u + 52*u - 71*u - 2 as b + n*u and give n.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 441*o - 15936.\nAnswer: -3*(o - 83)*(o - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*51\/680.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.84 - -75. Let v = -1.16 + f. Which is the nearest to v? (a) 1 (b) -0.2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -360 - -112176?\nAnswer: 111616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c + z - 0, z = 5*c - 6. Let a = 54 - 35. Suppose -c*n = -n - a. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 + 4541919*d**2 + 59089655*d + 2.\nAnswer: -48*d**2 + 9083838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*n - 36 = -1714*n - 3*o, 0*n - 7*n - 11*o + 10*o = -34 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 + 4*q + 25. Let l be f(-7). Put l, 10, -4 in descending order.\nAnswer: 10, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -1, 7, 5 in increasing order.\nAnswer: -1, 5, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 20 = 4*z, -5*o = 20. Let q = -1 + 6. Suppose 3*w + 3 + 0 = 0. Sort z, q, w.\nAnswer: w, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48730849651.99994785 + 48730847485. Let h = 2167 + v. Round h to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0*f**3 - 1\/36*f**4 + 13\/120*f**5 + 5*f + 0 + 2\/63*f**7 + 0*f**2 - 11\/90*f**6. Find h such that u(h) = 0.\nAnswer: 0, 1\/4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 208121900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 4. Suppose -5*r + 50 = -5*a, 5*r + 5 - 79 = -a. Let g = r - 9. Let w(j) = 3*j - 3. What is g*k(z) + 6*w(z)?\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157\/((-55735)\/142)*110\/(2\/(-1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -7 - -14) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/120 and 51\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -5 (c) -48421 (d) 0.2 (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21495905461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(243) - 3*-1*sqrt(243))**2 - (sqrt(363) + sqrt(363) + 0 + -1 + -3)**2.\nAnswer: -1216 + 230*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9283073 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(13))**2 + -1*(sqrt(208) - sqrt(13))**2 + 1 - (sqrt(832)*2 + -2 + -1).\nAnswer: -16*sqrt(13) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-15)*-5 - 10. Which is bigger: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*h - 1 - 32*h + 6*h**3 - 3 + 73*h + 5 in the form s*h**3 + b*h**2 + c*h + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 - 16?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*i - 2847 - 1692 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/10 - 81\/(-6). Factor 10 + 3*u**3 - 10 + u**5 - 9*u**4 - i*u**5.\nAnswer: -3*u**3*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 136?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/5, -44, 0.4, -1, -4, 0.01?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78277209.60000055 + 78277208. Let o = v + 1.6. Round o to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44360.\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 1 - (-20 - -21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**5\/90 - 17*y**4\/108 + 10*y**3\/27 + 3*y**2 - 20. Let j(l) be the second derivative of w(l). What is g in j(g) = 0?\nAnswer: 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4357643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -185*o - 1. Let k(g) be the third derivative of -3*g**4\/4 - g**2 + 8*g - 18. Give k(z(b)).\nAnswer: 3330*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68281791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let k(z) = 286804612*z. Determine k(o(y)).\nAnswer: 573609224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11*f - 24 = -8*f - 4*f, 0 = -15*l - 5*f + 85 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + -0.01. Put 5, k, 3 in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1 - 2438*m**2 - 8 + 2449*m**2. Let c(n) = -n**2 + 1. Let i be 6\/(-9)*1*3. Let f(d) = i*v(d) - 18*c(d). Factor f(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*u + 4*u - 53, u - 2 = 0. Suppose -v = 2*b - 4, 0*v - 5*v = 20. Suppose -2*n = -b*l + 183 + j, -n = 3*l - 175. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/sqrt(4))\/((sqrt(24)\/(2*sqrt(4)) - sqrt(6)) + sqrt(6)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7336\/(-4192)*(-20)\/(-91).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*y, 3*c + 3*y = 2*c - 10. Let p be 1 - c - (-1 - -2). What is the units digit of (-42)\/(-9) - p\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002693 to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.62454 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 286734863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/189*3\/(18\/(-21))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -323.424191 to one dp.\nAnswer: -323.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 38222.55 decades?\nAnswer: 382225.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -452 - -452. Solve c = -50*m + 52*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*g**2 + 17*g**2 + 9*g**2 - 4 + 4 + 2*g**2 + (3 - 5 - 3)*(-g + g + 3*g**2).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 1:22 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.46 - 0.4674. Round h to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 4*v**5 - 5*v**5 + (-2*v**2 + 0*v + 0*v)*(-315*v + 315*v + 167*v**3) - 3*v**5 + 2*v**5 - v**5.\nAnswer: -339*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -60, -57, -54?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, q: 2, s: 4, l: 3, j: 2, m: 1}. What is prob of picking 1 o and 2 j?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76086 divided by 80?\nAnswer: -38043\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -235833320?\nAnswer: -235833324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Suppose 0 = -3*s + x*s + 15, -2*f = s - 5. Solve -f*n + 8*n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2)**2*-2 + sqrt(2) + 0 + sqrt(98).\nAnswer: -16 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2394, 2, 0.4 in increasing order.\nAnswer: -3, 0.4, 2, 2394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*s - 0. Let i be (0 - (-1)\/2)*s. Let g = i - -3. Solve x - y = -2, 0*x = -2*x - g*y - 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -3124?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 264.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(612)*6 - (-2 + sqrt(1088) + 4*sqrt(1088)).\nAnswer: 2 + 176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1733, -7103, -16105, -28733, -44981?\nAnswer: -64843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1)\/((-4)\/(-2)). Suppose 5*d - 4 - 6 = o. Let n(a) = 6 - a**d - 6*a + 5*a + a**3 + 0*a**3. Calculate n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.29999931 + 8.3. Round c to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 11. Let v be a(-12). Calculate the greatest common factor of 91 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*b = -30 + 795 + 123. Suppose -14 = -5*s + 16. Put -3, b, s, -5 in decreasing order.\nAnswer: s, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -173855000 rounded to the nearest one million?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -4. Let k = u + -67. Let r be -9*(-6 - k\/1). Solve 12 = -4*o, 3*v - 4*v - 5*o - r = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 349036*p\/5 - 15228266162\/5.\nAnswer: -2*(p - 87259)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c - 31700 = -515*c - 37*c - 175*c for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 315 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117) + 5 + (sqrt(117) - (sqrt(117)*4 + -4)**2) + -5.\nAnswer: -1888 + 105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6965*b + 3568*b + 3397*b + 4*b**2 + 157*b**3 - 4*b**2 - 159*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 481 = -343. Let i = -143 - r. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**3 - y - 1. Determine q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0 - sqrt(2))*-3 + sqrt(98) + 0.\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(sqrt(2057) + 1 + (sqrt(2057) - (sqrt(2057) + -2 + sqrt(2057))) + -4 + 4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkkp when four letters picked without replacement from jkkpaaajajk.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1 - (-3)\/3. Let d = 32 + -20. What are the prime factors of (-2)\/v*0 + d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o*o\/(o**0\/o))\/((o\/((o**2*o)\/o))\/o**(2\/9)))\/((o**(2\/3))**(-42)\/(o\/o**3*o*o*o**(-1))) assuming o is positive.\nAnswer: o**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Let a be p(-1). Suppose o = -a*o + 60. Suppose 0 = q + 3 - o. Solve 5*g - m = -q, -2*g = 3*m - 0*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1243, -2466, -3651, -4774, -5811, -6738?\n\"Answer: 4*p**3 - 5*p**2 - 1236*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -59. Suppose f + 6 = y. Find the first derivative of -b**4 + 4 + f + 4*b**4 + 1 wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/7 + 10914*m\/7 - 680108 = 0 for m.\nAnswer: -5863, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 203934*o - 3465756363 = 0. Calculate o.\nAnswer: -33989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 14 = 3*a, 89 = -a + 5*l + 98 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 11674160.\nAnswer: 11674160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -57, 25 in increasing order.\nAnswer: -57, -4, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812087719.\nAnswer: 812087719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghff when four letters picked without replacement from {f: 9, g: 1, h: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -2*v**3\/3 + 2. Let y(u) = u**2. Let f(z) = 6*x(z) + 13*y(z). Let m(c) = -2*c. Determine m(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p**(-1)\/p)\/p)*p)**(-34)\/((p**(3\/4)\/p)\/((p*p**(4\/3))\/p))*p**(2\/17)\/p**8*p**(-2\/17)*p*p**(1\/4) assuming p is positive.\nAnswer: p**(-847\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -13. Suppose -4*f + n = -3*j - 7, -2*f - 6 = -4*j. What is the units digit of 2 + -4 + 2 + f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-15))\/(-7))\/((-134)\/(-5695))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30b - c8?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/2)\/(k*(k**1\/k)\/k*k)*(k*k\/k**(-3\/2))**(-4\/5) assuming k is positive.\nAnswer: k**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:14 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -14*f**4\/11 + 46*f**3\/11 + 744*f**2\/11 - 216*f\/11 = 0.\nAnswer: -6, 0, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.31 (b) 0.3 (c) 0.4 (d) -1\/3 (e) 3 (f) 16833.4 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 7*z**2 + 2. Let g(a) = a**2 - 7*a - 6. Let f be g(8). Let j(o) = -22 + 22 - o**f. Give j(s(y)).\nAnswer: -196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8 - 12 + 44 - 4*w - 19. Let r(c) = 7*c**2. Give r(d(x)).\nAnswer: 112*x**2 - 280*x + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 5*o + 3. Let c be h(5). Suppose 3*z = -4*q + 9 - 4, 5*q - 12 = 2*z. Is c <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817722313?\nAnswer: 11, 107, 467, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 35 = -7*p. Suppose -p*r + 190 = -2*r. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1106 + 1160 + -90 + 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((2\/(-3))\/((-90)\/(-27))). Let v(r) = r**3 - 3*r - 3. Let z(g) = g**3 - 2*g - 2. Calculate l*z(a) - 3*v(a).\nAnswer: 2*a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 221)*(66\/(-231))\/((-175)\/49 - -3).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -717310 <= -717316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 3*q)*(2*q + q + 3*q) - 3*q**2 - 15*q**2 + 5*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 + 2580*j**3*u - 909*u + 1 wrt j.\nAnswer: 4*j**3 + 7740*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 14*r - 12. Let n(d) = 2*d**3 - 3*d**2 - 10*d - 10. Is 20 a factor of n(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1 + 2*s + 1. Let r(k) = 4*k + 9. Let i(x) = 10*x + 24. Let o(j) = 3*i(j) - 8*r(j). What is t(o(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27854 - -0.01975.\nAnswer: 27854.01975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 823*t**3 - t**2 + 231 wrt t.\nAnswer: 4938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10239, -10130, -9697, -8778, -7211, -4834, -1485?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.3, 0.06, 0.4, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 14. Let n = -148.12 + v. Put 4, -5, n, 3 in descending order.\nAnswer: 4, 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(sqrt(252) + -5) + 1 - -5*(4 + sqrt(252)*-2)))**2.\nAnswer: 10800*sqrt(7) + 102825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*q + 600 = 135*q + 142*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9286692?\nAnswer: 2, 3, 17, 45523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/130699 + 6926815\/15161084. Let j = -6\/29 + p. Suppose 16 = -14*r + 18*r. Sort j, r, -2 in descending order.\nAnswer: r, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215304 divided by 4.\nAnswer: 53826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nnnntknnfkngtkggnn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 - a + 27. Let r(i) = 10*i - 14. Give n(r(u)).\nAnswer: 10*u - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 4 = 0. Suppose s*v - 21 = -h, -4*v + 19 = -h - 0*h. Is 10\/7 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 436*y**3 + 4*y**2 + y + 104. Let l(p) = 434*p**3 + 3*p**2 + 103. Let s(d) = -4*l(d) + 3*x(d). What is the second derivative of s(n) wrt n?\nAnswer: -2568*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 + 4?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h + 2, 4*m + 2 = -5*h. Let l(n) = -n**3 - 2*n + 2. Let q(w) = 5*w**3 + 11*w - 11. Let u = -81 - -92. Give m*q(r) + u*l(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25443)\/(-264) + 855\/(-360)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-8)*(5\/(-15) - -1). Let c(q) = q**2 - 8*q - 3. What is c(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -132*o**2 - 36*o + 53. Let h(f) = 79*f**2 + 18*f - 26. Let j(w) = -5*h(w) - 3*i(w). Determine j(-16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/((-12)\/276*-3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 9) to base 11.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 9*k**7\/350 + 3*k**6\/50 - k**5\/50 - k**4\/10 + k**3\/10 - 5*k**2. Determine g so that w(g) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 9*p - 11. Let k = 25 + -32. Let v be d(k). Suppose v*y = -f + 171, 0*y = 2*y - f - 119. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1791*y**2 - 2209*y.\nAnswer: -3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, -9, -4, -11.75, -0.1, -1808?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Let m = -4.6 + x. Let s be 2\/(-7) + (-138)\/(-336). Sort 3, s, m in descending order.\nAnswer: 3, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24870 is divided by 1131?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -49272?\nAnswer: 1\/16424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 65 - 3*b - 7*b - 15. Let f be r(7). Suppose -17 = -f*m + 687. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0073871791 - 0.44\nAnswer: -0.4326128209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8*r + 3*r = 18, 4 = 4*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 126, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -517 and -226 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 - 504*d - 91708 = 0.\nAnswer: -101, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Let t(f) = 1 - g*f - 12 + f. What is the remainder when 47 is divided by t(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1303983*m - 6519915. Give a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2580983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 + -86. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -14. Let a(v) = -v**3 + 4*v**2 + 5*v - 3. Is 4 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjgbfbssfsss. What is prob of picking 1 j and 2 b?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-60)\/(-12))*(-1)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13074*j**4 + 20*j**2 - 2*j + 1394188 with respect to j.\nAnswer: -52296*j**3 + 40*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 239\/5. What is the fourth smallest value in -0.1, j, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*3)*-5 - sqrt(77) - -1*(sqrt(77) + 1*sqrt(77) - sqrt(77)))\/((sqrt(84) + 2*2*sqrt(84))\/(sqrt(12) - sqrt(432)\/sqrt(4))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 755280.\nAnswer: 755280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/16*(11 + 1). What is the least common multiple of 2 and ((-6)\/(-9))\/(1\/s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from ufudodjoofuuudumdo?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7)\/k*k**(-6))**(-8\/5) assuming k is positive.\nAnswer: k**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -45. Let c be (0 - 1)*(g + 2). Solve 0 = -o + c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2521051320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2593\/7 and 371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 1014514?\nAnswer: 1014525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 23*f + 10. Determine o(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*r = -24, 2*i = 5*i + 2*r - 59. Let q be 2\/3*(1 - i). Let d be (-6)\/(-9) + 8\/q. Solve d = 2*f - 4*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 - 4)*-2*1\/2. Suppose -f - 10 = -5*h. Put -4, -5, h, 25 in descending order.\nAnswer: 25, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 452952530*m**4 + 619173995*m**2.\nAnswer: 10870860720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 2*i - 20125*i**2 - 1 - 4*i.\nAnswer: -20125*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j + 125 = 26*j. Suppose 0*b - 3*w + 10 = 2*b, 5*b + w - j = 0. Let m(g) = g**2 - 3*g - 3. Let r be m(b). Let f(y) = y + 3. Determine f(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/12 + 2*f**3\/3 - 10*f - 50. Let q(k) be the first derivative of m(k). Solve q(w) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*f - 2*h + 7, f + 3*h = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p - 3*m + m, -14 = p + 5*m. Let q be (1 - p)\/((-24)\/(-12)). Suppose 0 = -r - q*r - 5*r. Solve w - 2*w + 2*u - 7 = 0, -2*w + u + 1 = r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 30 = -5*k, 69*s = 73*s + 4*k - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38253 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.47 - -18.5. Let k = 2.03 - j. Let w = k + -4. What is the closest to 2\/45 in 4, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -2 + (sqrt(60)\/sqrt(5))\/sqrt(6).\nAnswer: -2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 74. Let o be 50\/(-15) + (-3)\/(-9). Let h(p) = -2*p**2 - 2*p + 75. Let y(s) = o*r(s) - 2*h(s). Is 24 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4.17, 3, -1.3.\nAnswer: -4.17, -3, -1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7554 and 750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4573 and 13181.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5\/7, -0.07, -9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3021 - -3031. Solve 60 - s = -10*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/27*-1 - (-2)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5038528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egl when three letters picked without replacement from cccceecellccge?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 + 1 + 13*w + 0. Let c be -8 - 2 - (-9 - 0). Determine x(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17757?\nAnswer: 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*c + 7, 3*h - 2*c - 2 = 0. Let g = 5 - 11. What is the tens digit of 318\/h*((-32)\/g)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2715572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 581*q**2 - 293*q**2 - 289*q**2 + 3 + 2*q**3. Let x(d) = -2*d**3 + d**2 - 3. Give -5*l(n) - 4*x(n).\nAnswer: -2*n**3 + n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*u - 3838, 4*z - 15362 = -2*u + 4*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -70, 7, 0.2, 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1796341839 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffttoptooftfpzttfz. What is prob of sequence zo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65172756 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*u = 6*v - 128, v + u - 25 = 0. Calculate the greatest common divisor of v and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a6d8a - 75?\nAnswer: 5a6d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = 0. Suppose -4*o = 5*k - 27, v*k - 4*k - 20 = 0. Suppose 5*g - 187 - 63 = 0. What is the remainder when g is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44624 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13837, 27627, 41417, 55207?\n\"Answer: 13790*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*c - 0*c + 15, 5*s - 5*c = 20. Suppose s*q - 56 = 64. Let u = -3 + 11. Calculate the least common multiple of q and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Suppose b*y = 8*y - 530. Factor 672*l**4 + 384*l**2 - 660*l**3 - 27*l**5 - y*l**5 - 276*l**3 - 14*l**5 - 48*l.\nAnswer: -3*l*(l - 2)**2*(7*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooaoooooooooooooooo. Give prob of picking 1 o and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1748 and 183977.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:04 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 3, -74, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71.28662 nanograms?\nAnswer: 0.00000007128662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 11:41 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1450 - -1453.4. What is the smallest value in w, -5, 1\/2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/6, -128\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 3*n)*(2 - 2 + 2*n**3) - 2*n**4 - 3 + 3 + (0*n**3 + 3*n**3 - 4*n**3)*(-3 + 3 - n) + 12*n**4 + 5*n**4 - n**4.\nAnswer: 19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-0.04475.\nAnswer: 0.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318, -6, 0, -21, 4 in increasing order.\nAnswer: -318, -21, -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 45*a**3 + 1222590*a**2 - 1630180*a + 543400 = 0.\nAnswer: -27170, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 12. Let z be q(-5). Suppose 5*l - z*o = 512, 210 = 2*l - 3*o + 7*o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z - 12, -2*a = -5*z - 17. Let x(u) = -u**2 + 5*u - 2. Let f be x(4). Let n be f\/(-3) - (77\/(-21) + 1). Sort a, n, 11.\nAnswer: a, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.7 - 25. What is the closest to 1 in -3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(45)\/sqrt(5)))**2 + -1 + sqrt(4)\/sqrt(2).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7259 divided by 49.\nAnswer: -1037\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 4*t - 1 + 2*t)*(-18 + 18 + 5*t) to the form d*t**2 + l*t + r and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (8 - 1)) + -2 + 9 + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1671324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 18. Suppose a - 5*i - z = 0, 78 - 10 = 2*a + 2*i. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, q: 1, m: 1, e: 3, s: 2}. Give prob of sequence mpm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3067 + 8209. List the prime factors of f.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2\/9 (c) 1 (d) 124 (e) 5 (f) 2657\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 - 253. Let w = j - 1199\/7. What is the biggest value in -0.4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*sqrt(76)*1*-4)\/(sqrt(1764)*3 - sqrt(1764)))**2.\nAnswer: 4864\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11744222 to the nearest integer?\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18850, -37685, -56520, -75355, -94190?\nAnswer: -113025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/12723062 and -63\/10.\nAnswer: 63615310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**2*v + q**2 - q*v + 19231*q - 233820*v wrt q?\nAnswer: 2*q*v + 2*q - v + 19231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(14)*2*-6)\/(sqrt(288)*-2)*4 + 3)**2.\nAnswer: 11*sqrt(7) + 1171\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2 - -2)*1. Suppose z - 92 = 2*b, 0 = -o*z + 2*b + 3*b + 440. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/7 + 81*q**2 + 4609*q\/7 - 5175\/7 = 0.\nAnswer: -9, 1, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -4 - (-1 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o + 93960 = 52*o. Does 87 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -2d139?\nAnswer: -2d135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 368?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1 + (-6)\/9). Solve -4*k - 4 = -v*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.785 - 0.215. Which is the smallest value? (a) 0.3 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 17 - 1 = -5*b, 2*b - 5*c - 11 = 0. Let o(v) = v - 1. Let h(l) = -2*l + 1. What is b*h(a) - 2*o(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/3 + 6*u. Suppose 2*o + 3 + 1 = 0. Let y(j) = -3*j. Let p(d) = 7*d. Let b(s) = o*p(s) - 5*y(s). Give g(b(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 16*f**3\/3 - 308. Let u(z) = 17*z. What is u(a(y))?\nAnswer: 272*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(-12)\/m)))\/m**(2\/17) assuming m is positive.\nAnswer: m**(-223\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68340 and 5253?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108066 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*t - 142, 114 = 3*f - t - 2. Suppose -3*m + 222 - 18 = 0. Suppose -5*a - f + m = 0. Calculate the highest common factor of 42 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - 715639.142\nAnswer: -715673.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -20. Let m(u) be the third derivative of u**5\/60 + u**4\/3 + 5*u**3\/3 - 108051*u**2. Determine m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844977 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177870, 177857, 177862, 177897, 177974?\nAnswer: 178105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*m**5\/9 - 1004*m**4\/3 + 223660*m**3\/9 - 694232*m**2 + 4319814*m - 3650100 = 0. What is m?\nAnswer: 1, 50\/7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 11*l**4\/24 + 250*l**2. Let x(f) = -6*f. Calculate c(x(o)).\nAnswer: -66*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 - (-22 - -20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = -7*l + p, -4*l + 8 = 2*p. Solve l = -4*w + 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -77. Let x(j) be the first derivative of -j**4 - 2*j**3 + 1\/2*j**6 + 2 + b*j + 1\/2*j**2 + 4\/5*j**5. Factor x(f).\nAnswer: (f - 1)*(f + 1)**3*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4354661 by 6.\nAnswer: -4354661\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - -41.4. Let z = -8 - w. Let o = z - -47.000105. What is o rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 812501*f**6\/60 - f**5\/20 - f**4\/12 + 9*f**2. Let v be k(2). What is v rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3351*z + 3926 = -3502*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 217*l**2*r - 150*l**2 + 17*l*r + 921*l - 4*r wrt r?\nAnswer: 217*l**2 + 17*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 3*q. What is f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.146 + -3307.42511\nAnswer: -3307.27911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1168)\/(-39420))\/((1 - 2) + 1\/(-5)). Which is the biggest value? (a) -3 (b) -9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85*r**2 - 40*r**2 - 41*r**2 - 28 wrt r?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2204?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(1\/(-2)*1). Suppose f = 2*x + 2*x. Solve -4*n - 10 = -2*j, 2*n + 2*j - x = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2387 and 4.\nAnswer: 9548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 9*r + 9. Give f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let y(b) = -20*b**2 + 10*b - 10. Let t(x) = x**2 - x + 1. Let w(q) = -10*t(q) - y(q). Give w(r(d)).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t + 4. Let a be n(4). Suppose 13 = a*h - 11. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 441*x + 1016. Determine g(208).\nAnswer: -4184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + d + 0*d)*(-69*d + 11*d + 13*d - 65*d) - 11*d**2 + 6*d**2 - 8*d**2 to m*d + c*d**2 + j and give c.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {f: 5, c: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3153, 6299, 9443, 12585, 15725, 18863?\n\"Answer: -t**2 + 3149*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29368 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9222 + 8480.9. Let l = i - -803. Let k = l - 62. Sort -0.3, -0.2, k, -4 in ascending order.\nAnswer: -4, -0.3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 7*f + f)*(-5*f**2 + 2*f**2 + f**2)*(-4 + 1 + 1).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 14*v**4 - 5 - 3 + 10 + 4*v**2 + 3*v**3 + 2*v to o*v**2 + m*v**4 + h + f*v**3 + l*v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 + 134*k\/7 + 3611\/7.\nAnswer: -(k - 157)*(k + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026175607 rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 84 (b) 713 (c) -6 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -80+-4498051\nAnswer: -4498131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 4*x - 28, 21*b + 72*b - 3*x + 21 = 109*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 10*m - 10. Give n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -2 + -4 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejuevou. Give prob of sequence ouj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -7*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (0 - 2)\/(48\/(-72)). Put 2, 18, u, -2 in descending order.\nAnswer: 18, 2, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 7}. What is prob of picking 1 y and 1 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -c. Let i(s) = -5*s**2 + s - 6. Let g(y) = -11*y**2 + 2*y - 13. Let r(q) = 4*g(q) - 9*i(q). Calculate r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199 - -217. What is the least common multiple of d and (-87)\/(-4) + 3\/12?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/425?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 737, 0.1, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -28. Which is the closest to j? (a) 4 (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -12 - (0 + 1) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001000000 (base 2) in base 12?\nAnswer: -1994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:37 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125.4997831 + 125.5. Round q to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 382543 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 872843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 91. What is the third derivative of -31*k**3 - 16*k**i + 31*k**3 - 8*k**6 + 33*k**6 wrt k?\nAnswer: 3000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 1\/4*m**4 - 11\/5*m**5 + 3*m**3 + 21 - m**6 - 2*m + 1\/2*m**2. Suppose d(j) = 0. Calculate j.\nAnswer: -1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43.4 * -38.19\nAnswer: -1657.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -145 = 154256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let s(o) = -138081122*o. What is q(s(w))?\nAnswer: 276162244*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15*3\/3690)\/69. Is 0 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224\/23 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12046*r - 2904 = -12112*r for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-26) + 835\/65. Let n = -28 - -52. Suppose 0 = 2*f - 2 - n. Calculate the greatest common divisor of t and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -108. Suppose -3*q = -2*v + o, -2*q + 46 = v - 2. Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 115 = -6*s, -719*s - 4*w + 50 = -721*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1518.675 - 3.325. Which is greater: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1204521 or -0.6?\nAnswer: 1204521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -11. Let a(n) = -n**3 - 11*n**2 - 9*n + 13. Does 3 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 245, 380, 489, 566, 605, 600?\n\"Answer: -c**3 - 4*c**2 + 174*c - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 3257 - 113*k + 113*k.\nAnswer: k**2 - 3257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 6373\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16704 - -16707. Which is the closest to -2? (a) 3\/7 (b) -2\/11 (c) 1\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/50140 and -63\/6788?\nAnswer: 85087580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/(2*sqrt(3)) - sqrt(3))*2)**2 + -1 + 3 + (sqrt(12))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76415 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8340, 8348, 8356, 8364, 8372?\nAnswer: 8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 53*p - 36*p - 360. Which is the fourth biggest value? (a) -1\/5 (b) 73 (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*m - 1428 - 644 + 506 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11*x - 1768 = 0. Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/5 + 111\/20. Which is the second smallest value? (a) -3\/4 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 225 = -10*t. Let c = 51 - t. Suppose -399 = c*d - 13*d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 3*a**3 + 0*a**3)*((-a + 0*a + 3*a)*(2 + a - 2) + (0*a**2 + a**2 + 0*a**2)*((2 - 1 + 0)*(2 + 0 + 1) - 29 - 24 + 1)).\nAnswer: -47*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40*(-4 + 33\/8). Calculate the remainder when 24 is divided by (d\/(-3))\/(10\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-20) + 74\/(-5). Let m be (f\/21)\/(2\/(-2)). Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4\/(((-16)\/4)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((132\/(-242))\/(108\/264))\/((-1)\/(-21))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/5 + 4\/45. Which is the smallest value? (a) -2\/5 (b) z (c) -1\/6 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 2*y - 1 - 4*y + 5*y. Suppose 6 - 19 = 4*p + 3*j, -p = -3*j + 7. Let m(n) = -n**3 - 3*n**2 + 3*n - 5. Let d be m(p). Calculate r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 971757 and 1619595?\nAnswer: 4858785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3206.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-3 - -7) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 5, 1.\nAnswer: -17, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128684219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by -9.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 220001816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 3*l + l**3 + 2 - 3*l**2 - 3. Let w be b(-4). Solve w*h + h = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-12)*(-12)\/(-8)*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4482450.29 to the nearest one thousand.\nAnswer: 4482000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17160 by -330.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - p + 0*p + (5 - 1 - 2)*(-p + p - 2*p) + 2171*p + 2088 + 2100 - 4187 in the form v*p + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**2 - 9*h - 15. Let i be p(-6). Let z = 831 - i. Suppose -5*x = 3*y - z, 0*x - 4*y = -x + 72. What is the highest common divisor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/792 and 107\/864.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/3 - 29*c\/3 - 980\/3 = 0.\nAnswer: -20, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 12752. Let p(r) = -30*r. Calculate q(p(d)).\nAnswer: -90*d - 12752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 282? (a) 903 (b) 2\/3 (c) -1\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 + 176*j + 930 = 0. Calculate j.\nAnswer: -5, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 137*a - 492 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + 1000. Let y = z + -139. Is y >= 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15623 (base 12) to base 5\nAnswer: -1432032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1853, -7740, -17555, -31298, -48969?\nAnswer: -70568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 61964.7 rounded to the nearest one hundred?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*d + n - 14, 0 = 5*d - 3*n - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 207*r**2 - 918*r - 2688.\nAnswer: -3*(r - 64)*(r - 7)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -4, -1\/4, -0.06, -16.7, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*1\/5*73\/((-11826)\/(-540)). Solve -c = -131*v + 135*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19499 is divided by 6484?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.92 - 3.92. Let r = 4 - 5. Which is the closest to r? (a) 4 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, 11.24, 5, -2\/9, 0.03, -2?\nAnswer: 11.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 35. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q + 18 = -38*q. What is the third smallest value in q, 2\/5, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:03 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 264\/(-42))\/(1\/7) - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 29, 71, 137, 233?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448582 = 56*k - 58*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041324 (base 7) in base 3?\nAnswer: 20111020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/104 and 97\/1062.\nAnswer: 55224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 + (-13 - -9 - 8) - -20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 5. Let i(h) = -6*h - 19. Let u(g) = 24*g + 78. Let y(c) = 9*i(c) + 2*u(c). Determine 7*a(j) - 2*y(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-309162)\/(-170) + (-3)\/5. Suppose n + 2262 = 5*l, 0 = 4*l - n - 4*n - t. List the prime factors of l.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -832, -1.351, 5?\nAnswer: -1.351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3, 22, 16, 2 in decreasing order.\nAnswer: 22, 16, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -248 + 1489\/6. Let r be (6\/(-32))\/((-3)\/2). Let h = -3.07 + 0.07. Which is the biggest value? (a) f (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -4, -3 in descending order.\nAnswer: 5, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38799485, -77598971, -116398457, -155197943, -193997429, -232796915?\nAnswer: -271596401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-35)\/(-30))\/(6\/9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/84 and -32\/4697?\nAnswer: 56364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1001987, 1003267, 1005401, 1008389?\nAnswer: 1012231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1.73, -20, 6, 0.5, -2, 2 in descending order.\nAnswer: 6, 2, 1.73, 0.5, -1\/4, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20*(-3)\/(-3)*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2)\/(68\/(-153) + (-222)\/(-378)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 22. Let m be p(-10). Is 7 a factor of 428*(-3 - m\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/6)*n*n**(-1\/57)*n)**(31\/4) assuming n is positive.\nAnswer: n**(3317\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) - sqrt(1792)*-2*3) + sqrt(1792) + (sqrt(1792)*-1*2 - sqrt(1792) - sqrt(1792) - sqrt(1792)))\/(sqrt(1944)\/sqrt(6) + sqrt(2304)).\nAnswer: 8*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*u = -a + 1, 5*a + u = 11. Suppose 2*d = -2, 2*s - 7 = 3*d + a. Solve s*p + 3*f + 2 = -1, 3*p + 24 = 4*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 4*g + 8, -5*d - g = -25. Suppose -5*z - d*b + 67 = 0, -3*z + 50 = z + 5*b. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1668)\/30 + 2 + (-12)\/5. Let a = r - -81. Find the second derivative of 228*y**4 - 225*y**4 - y + a*y wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/49 + (-4)\/14. Suppose x = -t - 3*t - 16. Find the common denominator of -99\/4 and ((-32)\/20 - -2)\/t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2423\/6 + -1294\/3. Find the common denominator of 3 + (-210)\/27 + 4 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 964 + -964. Let m = -102 + 920\/9. Which is the third smallest value? (a) y (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -927*i - 34289. What is z(-37)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.2. Let k = 40.6 - 41. Let l = k - -2.4. Which is the third biggest value? (a) -1 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23073266*l**3*p + 12*l**2*p - 377088*l*p wrt l?\nAnswer: -138439596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -5. Let o be (d\/2)\/3*60. Let z be (-3)\/2*8\/o. Is 0 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -2\/13 (c) -83 (d) -0.418 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 1358\/11. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143 - -73 - -33) + 105.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 64. Which is the closest to v? (a) 1\/2 (b) -7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 + e?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(6 + -3 + 0). Let d be (2 - 13)*-5 - m. Let w = d - -45. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 6122\nAnswer: -1\/3061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/344 + 1039\/2408. Let p = 3.1 - 3. Sort 0, p, q in decreasing order.\nAnswer: q, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147668 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*m - 37*m - 61*m**2 - 15*m + 14*m wrt m.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*g**2 - 78*b**3 - 12*b**2 - 55304*b*g**3 - 2*b + 178 wrt g.\nAnswer: 4*b**3*g - 165912*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1323, 1339, 1371, 1425, 1507, 1623, 1779, 1981?\n\"Answer: o**3 + 2*o**2 + 3*o + 1317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -195015 divided by 28\nAnswer: -195015\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11862 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t\/(t*t*t**(-4\/7)*t*t))*t*t**(2\/5)\/t*(t\/t**0*t)**36)**(5\/8))**(-47) assuming t is positive.\nAnswer: t**(-62369\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5918176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*q + 717*q - 446*q + 11 = 2*b, 0 = 5*q - 5*b + 3*b - 45 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/127, 2\/3, 3.\nAnswer: -2\/127, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 14. Let r(d) = d**3 + 8*d**2 - 6*d - 9. Let z be r(j). Let o be (-5)\/(-20) - z\/(-4). Solve -2*g - 3*g = -o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agap when four letters picked without replacement from gpaoaoogaoppagggaoi?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - m + 2*m)*(12 + 28 - 24) + (3*m + m - 5*m)*(-2 + 4 - 1) to w*m + g and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*f - 6*i + 8*i, -13*f + 3*f - 80 = -i + 7*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - 63592\/(-1640)) + 63\/(-35)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66960 divided by 33480?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 11. Let c be i(-8). Suppose -15 = -c*p - 2*p. Sort 0, -1, p in increasing order.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 = 3*p, -13*p - 14 = -2*x - 9*p. Let g = -5 - -9. What is the closest to g in -0.3, 3, 2\/7, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i - 4300 = -4*r - 43*i, 3*r - 3242 = -2*i. Calculate the greatest common divisor of 352 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 100, -0.2, -2\/9, 1\/4, -2\/81, -72?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3320 is divided by 654.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1291 + -1280. Solve -3*u + 5*a = -14, w*u - 12*u = 3*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, g: 4}. Give prob of sequence eeg.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 843 + -850. What is the smallest value in -5\/6, 2, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-90)\/(-75))\/((-3)\/(-50)). List the prime factors of (b\/(-8))\/(4\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 - 40948*s**2 + 440270916*s - 426145560768 = 0. Calculate s.\nAnswer: 1072, 19938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2781, 27, 17?\nAnswer: -0.2781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -7 - -1) + -5 + 0 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010101111110101101 (base 2) in base 8?\nAnswer: -26257655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 6. Give p(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u - 60. Determine v(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/10)\/3*28075\/(-11230)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*y + 6*g - 78, -4*y + 2*g + 16 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and -0.15.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50363.04l?\nAnswer: 50363040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 4 in increasing order.\nAnswer: 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 815\/637 - 25\/49. Which is greater: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 87 = -3*q - 64, -121 = 2*l - 3*q. Calculate the smallest common multiple of (-2)\/3 - l\/12 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*x**2 + 2\/9 + 0*x + 16\/9*x**3 - 2\/3*x**4 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14634 times -169\nAnswer: -2473146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(-9)\/((y**(-1)\/y)\/((y*y**11)\/y)) assuming y is positive.\nAnswer: y**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2158020 and -161\/681480.\nAnswer: 12948120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21956906297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o + 4. Let k be f(5). Suppose 5*b = k*b + 19. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136.949 + 0.349. Let v = p - -137. What is the smallest value in 13, 0.2, v, 3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmunqnnmjwu. What is prob of sequence quwu?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -906 or -2\/53?\nAnswer: -906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27467 - -41025. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -80.622.\nAnswer: -483.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 1. Let a = -349368\/161 + 2170. Are a and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1106*c**3 + 5*c**2 - 1103*c**3 - 4*c**2 - 7 to y*c + f*c**2 + w + o*c**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -16848 to the nearest 100.\nAnswer: -16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4448 is divided by 637.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110430 (base 5) to base 2.\nAnswer: -111100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106 - (33 + -24 + 16 + 3 + -25)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*f - 16058, 3*u - 24127 = 215*f - 210*f. Is u a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-72)*10*-6*41\/((-6273)\/(-68)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v**4 + v**3 - v**2 + v. Let d(z) = z**3 + z**2 + z. Let p(f) = d(f) - s(f). Find the third derivative of p(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -819b271?\nAnswer: 819b279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*g + 2 = 0, -2*g - g + 8 = i. Let k(h) = -4 + 4 + 2*h**i. Let b(f) be the second derivative of -f**4\/6 - 11*f. Give k(b(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 242 = -238. What is the remainder when u is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1188.3 and 5.\nAnswer: 5941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = 10*d - 15*d. Calculate the greatest common factor of 40 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 63*k**2 - 16*k**2 - 16*k**2 - 15*k**2 - 14*k**2. Let x(z) = 80*z. Determine x(w(t)).\nAnswer: 160*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 + 0.86. Let a = t - 1.1. What is the third biggest value in a, 4, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 5}. Give prob of sequence dddd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 6*t + 6. Let s be v(4). Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56237 to the nearest one hundred.\nAnswer: -56200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/233 and -91\/86.\nAnswer: 20038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 860*c + 4280*c - 15099*c - 9596*c in the form o*c + l and give o.\nAnswer: -19555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189474350 by 11145550.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = 190 - 45 + 59 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**2 + 49*o - 226. Let i(v) = -5*v**2 + 25*v - 111. Let n(x) = -7*i(x) + 3*r(x). Let t be n(6). Factor -2\/5 - 3\/5*f**t + f + 4\/5*f**2.\nAnswer: -(f - 2)*(f + 1)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 29*y - 256. Suppose -5 - 1 = -3*k. What is the remainder when b(11) is divided by 9\/(-18) - (-67)\/k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.28 - 50. Let o = l + -0.18. Let y = 0.2 - 0.3. Which is the second biggest value? (a) y (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-34)\/(-2) + -1. Let u be (-6 + 9)*4 + (1 - 1). What is the highest common divisor of l and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 348466 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -214*y**2 + 5*y + 70. Let p(l) = 5*l**2 - l + 1. Let w(z) = o(z) + 5*p(z). Differentiate w(i) wrt i.\nAnswer: -378*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {y: 4, z: 3, b: 1, i: 2, d: 3, l: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1066 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3*r**2 - 13*q**3 - 103*q**2*r**3 + 2*q**2 - 1355*q wrt r.\nAnswer: -2*q**3*r - 309*q**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -944 + 942. Which is the nearest to 0? (a) 7 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.25 + -6.2. Let p = 0.05 - r. Let u = p - -5. Which is the third biggest value? (a) u (b) -0.3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712089329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b58d (base 14) to base 2.\nAnswer: 111101000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 652*r + 16503. What is v(-24)?\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176757, -176759, -176761, -176763, -176765?\nAnswer: -176767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180 + -6. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-60) + 9\/(-12))\/((72\/165)\/12)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 - p**2\/2 - 7*p + 396. Give m(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9277414 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7679 - 7677. Suppose 4*t - 5 = 3*t. Solve a*z + 12 = t*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 884151 + 3*h + 441768 + 441644.\nAnswer: -h**2 + 3*h - 739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107028953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(44)\/(sqrt(20)\/sqrt(5)) + sqrt(11)).\nAnswer: -4*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2423, -5169, -7913, -10655?\n\"Answer: x**2 - 2749*x + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -51*a + 2. Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*c - 92 - 58. What are the prime factors of ((-43706)\/(-123))\/(4\/c)?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*t - 2*f, t - 120*f + 117*f - 22 = 0. Solve 3*k = 1 - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20*g - 18*g - 208 = 0, 3*z - 3*g = 213. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:27 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 100?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let f(d) = 2*d - 153. Give -f(t) - 4*n(t).\nAnswer: 2*t + 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13*a**2 - 202*a + 96. Let y be d(18). What is the highest common factor of 560 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 61 + 85 + 34 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 34*o - 86. What is the remainder when 121 is divided by t(-37)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 35*x**2 - 1\/72*x**6 + 0*x**3 + 0 - 1\/45*x**5 - 1\/315*x**7 + x - 1\/72*x**4. Suppose w(n) = 0. Calculate n.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*p + 5*a, 4*a = 16*p - 13*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-8))\/(-5))\/((-657)\/(-584))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4))**(-3\/7))**(2\/67)\/(((p\/(p**(-1\/4)\/p*p))\/p)**(-2\/91)*p*p**(-2\/5)\/p*p*p*(p*p*p**(-3))\/p) assuming p is positive.\nAnswer: p**(1752\/4355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9828 - 5858*y - 9828.\nAnswer: -5858*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 69. Let j = u + -72. Solve p + v = -v - 9, 2*p + v + j = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 6)*(-a + 2*a - 2*a + (3 + 2*a - 3)*(-5 + 0 + 2)*(6 - 1 - 3)) to the form s*a + d and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6242 - -6242. Solve o*z = -2*p + 2*z + 10, 5*p + 4*z = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9620 (b) 2 (c) 0.081 (d) -1 (e) -0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -540.75268 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 13) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 37. Solve m = 2*l + 2*l - v - 8, 4*l - 3*v = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 9*l**2 + l + 12. Let o be g(9). Suppose -o*y + 2 = -22*y. Let s be (-7 - -62)\/(y\/(-16)). What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 + 2*s + 2. Let d = -29 + 10. Let u = 17 + d. List the prime factors of h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18513, -18515, -18517?\nAnswer: -18519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 4, l: 7, n: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let a = p + -8. Sort a, 2\/5, 1.\nAnswer: a, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -5426*y**5\/5 + 3664*y + 2666. Find the first derivative of d(z) wrt z.\nAnswer: -21704*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/90 smaller than -6.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:36 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 17\/121?\nAnswer: 17\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frxrdxxrfrtxdf. Give prob of picking 1 d and 1 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 48298.\nAnswer: 965960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {v: 5, b: 1, r: 3, j: 1, l: 2, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004277 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39918.85 litres?\nAnswer: 39918850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*j + 18, 0*c = -2*j + 4*c + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 + 7*g - 6. Let v be x(7). Let q be (-22)\/v + 1\/3. Suppose 2 = 5*t - 3*t - 3*h, -q*t - h + 4 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266783 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2 + 7*k + 2. Let b(o) = -o**2 + o. Let g(j) = 6*b(j) - r(j). Let a(v) = -33*v**2 - v + 0*v + 34*v**2. Give 2*a(t) - g(t).\nAnswer: t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - -12430404?\nAnswer: 12430221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/144*-34 - 46\/184. Sort 0.4, t, 0.2, 0.1 in increasing order.\nAnswer: 0.1, 0.2, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-147201)\/(-9178) - 16\/1\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1021*g**2. Let k(s) = -4*s**2. Calculate w(k(p)).\nAnswer: 16336*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*p = 476*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -40135?\nAnswer: 40137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -525. Let k be v\/(-4*(-2)\/136). Does 9 divide k\/306 - (2 - 1)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 3 + 19 + 21 - 26*r**2 in the form f*r + n + b*r**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*w + 8. Sort -3, w, 2 in ascending order.\nAnswer: -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141\/4 + 35. Let r = -337.13 + 340. Let s = r - -0.13. Sort d, 2, s in descending order.\nAnswer: s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 - g - 51. Let z be q(0). Let k = z + 48. Which is the biggest value? (a) 4 (b) k (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/16 + 70\/(-360). Let r = -950\/7 + 136. Suppose 0 = -0*x - 5*x + 10. Which is the closest to 1? (a) x (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96755542*l*n**4 + 3*l*n**3 - 2770*l*n + 823*l + 2*n**2 + 4 wrt n.\nAnswer: -2322133008*l*n + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 112 = 16*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*y + 381 = 4*y, 4*b = 5*y + 328. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 43*c**2 + 19*c - 13. Give z(14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:42 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 z, and 1 s when four letters picked without replacement from punzzspppzxn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 64\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 2 (c) -4 (d) 1\/9960 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/42 and -139\/5484?\nAnswer: 38388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10*96)\/((-1698)\/(-4245)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.46 - 0.46. Let l = q - 50.6. What is l rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 7 - 7)*(2 - w**2 - w + 28*w - 15*w)*(19*w - 14*w - 6*w) to c*w + g*w**3 + y + l*w**2 + r*w**4 and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(3) - (sqrt(300) - (sqrt(300) + 0)))**2 + 2.\nAnswer: 10*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - -58a?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 191232871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18ba6 (base 12) to base 10\nAnswer: -36270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4396.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/12 - (-4)\/16. Let d(g) = 88*g**2 - 68*g - 3. Let j(t) = -2*t**2 + t + 1. Let w(x) = m*d(x) + 3*j(x). Find the second derivative of w(f) wrt f.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 6*d - 6. Let o(l) = -l - 1. Let f(s) = -6*o(s) + u(s). Let r be (-2)\/(-1 + 1\/3). Let w(k) = r - 3 + 6*k + k. Give f(w(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 - o**4\/3 + 5*o**3\/6 + 3*o**2\/2 - 18*o. Let r(g) = -g**2 + g + 1. Determine -10*r(b) + 2*u(b).\nAnswer: -2*b**3 + 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 80228*p**2 - 155*p + 155. Let c(q) = 2057*q**2 - 4*q + 4. Give -155*c(m) + 4*w(m).\nAnswer: 2077*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11584697794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144\/235 + 18497\/53580. Let o = 1\/8421 - 25265\/16842. What is the common denominator of h and o?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15.9 (b) -2\/5 (c) -4 (d) 12 (e) 1\/13 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {w: 1, z: 1, y: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 3}. What is prob of sequence ccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 7\/6*g**3 + 0*g**4 - 7*g**2 + 0*g + 0*g**5 - 1\/30*g**6 + 0. Differentiate y(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from {k: 4, z: 1, c: 1, e: 3, d: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535, -882, -875, -508, 225, 1330, 2813, 4680?\nAnswer: 6937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (20 - (51 + -53))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 63656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844457 (base 12) to base 16.\nAnswer: 1fc183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.34, 2, 0.66 in increasing order.\nAnswer: -3.34, 0.66, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2058 - -2058.00003538. Round y to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:16 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4153670229, -4153670230, -4153670231, -4153670232, -4153670233?\n\"Answer: -x - 4153670228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**2 + 41*u - 2. Let y be h(3). What is the first derivative of 2575*g**3 + 2579*g**3 - 5152*g**3 + 68*g**y + 273 wrt g?\nAnswer: 272*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (35 + -23 - (1 + 7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, 0.2, 13, -2.64?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25740000 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/4, 4, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3795, 0.4, 1.8.\nAnswer: 0.4, 1.8, 3795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/30)\/(1 - (-3)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(0 + 4 + -1 + 0 + sqrt(12) + 1 + 0 + sqrt(1452)))**2.\nAnswer: 34560*sqrt(3) + 313920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39 + -49123918626\nAnswer: -49123918665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3 + 7. Suppose y*f + f = -4*r - 7, -5*r - f + 7 = 0. Suppose -r*s + 12 = -s. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137074388+-2.2614\nAnswer: -137074390.2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttattatttatttttaa. What is prob of sequence tta?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - (-6)\/27. Let b(u) = u**2 + u + 2. Let a be b(f). Find the first derivative of y + 2*y + a - y wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -976, -3002, -5040, -7096, -9176?\nAnswer: -11286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 99 - 3*z + 46 - 314*z**2 to the form j*z**2 + v + g*z and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -14. Which is the third smallest value? (a) 0.1 (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 15. What are the prime factors of 87 - (7 + l)*-1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.1 at least as big as 1.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 1 + 4. Let f be 2 + (-1)\/(r\/(-15)). Let u = f + 48. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 6) to base 15.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 240. Let n be c\/28 - (-2)\/(-7). Let y(f) = -f**2 - 5*f - 5. Let b be y(-4). Are b and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -77. Let o = z + 68. Calculate the lowest common multiple of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.148, 2\/5, -2\/5, -0.2 in descending order.\nAnswer: 5, 2\/5, -0.148, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/14 - (3 - -723494 - 3). Round h to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 340\/15*((-36)\/120)\/((-12)\/30). Solve 2 = -b - 2*g + 3*g, -8*g - i = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427358629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by ((-5)\/(-20))\/(5 + -7 + 105\/52).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**5 - 9*x**5 + 21*x**5 + (-2 - 3 + 3)*(-7*x - x + x)*(29*x**4 + 21*x**4 - 8*x**4).\nAnswer: 589*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 13719*m**2 + 12883*m**2 - m to the form p*m + l*m**2 + u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -170?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 25. Suppose 23*o + 36*o + 25 = 84*o. Let m(j) = -2*j - 3. Let u(x) = -x - 2. Let c(g) = 3*m(g) - 5*u(g). Let z(t) = 3*t. What is o*c(n) + q*z(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5996*u = -6023*u + 2646. What is the remainder when 780 is divided by u?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 times 24.7267?\nAnswer: 3535.9181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4954 is divided by 121.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 26*v + 882, 4*v - 511 + 1170 = 5*i + 513 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12 and -59\/8018?\nAnswer: 48108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 - 2. Suppose -2*o = -7*k + 4*k + 51, 2*o = -5*k + 69. Suppose 5*l = 2*l + k, 2*b - 51 = -3*l. Solve 2*z + s*j = 1 + b, 3*z + 3*j - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f + b, 0 = -5*f + 4*b - 10 + 91. Suppose 3*l - 5*s = 16, 3*s = 3*l - 11 - f. Suppose 2 = -t + l. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:20 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 757542.2423 - 757592. Let v = g - -0.0577. Round v to 0 dps.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - 0\/(-2 + 0). Solve 0 = -2*c - s, -2*c - 11 = -j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000142464 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + 27. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, -7 in descending order.\nAnswer: 0, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -105476982*f. Let u(v) = -2*v**2. Determine u(l(t)).\nAnswer: -22250787463656648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11069*p - 5 - 11085*p + 22128*p.\nAnswer: -26*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 5\/6, -1\/4 in decreasing order.\nAnswer: 5\/6, -1\/4, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d**(-1\/5)\/d*d*d)*d**3*d\/d**3*d*d*d**(4\/3)*d assuming d is positive.\nAnswer: d**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -383692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/4 of a millennium?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 0 (c) 228 (d) -3 (e) -134 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59283.03 decades?\nAnswer: 5928.303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -44*o**3 - 6*o**2 - 11*o + 105. Let a(q) = 15*q**3 + 2*q**2 + 4*q - 35. Let n(v) = 11*a(v) + 4*r(v). What is the first derivative of n(j) wrt j?\nAnswer: -33*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edle when four letters picked without replacement from {d: 3, l: 4, e: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -463 + -160177?\nAnswer: -160662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-16 - -10 - -14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 83. Let v(x) = -6*x**2 + x. What is v(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:21 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -6*u + 17*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -267\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 5*z**7\/252 - 2*z**6\/45 - 19*z**5\/120 + 17*z**4\/36 - z**3\/9 - 2*z**2\/3 + z + 19. Solve r(c) = 0.\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9452 is divided by 77?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 415249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from zfffv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/28)\/((-11)\/22). Which is the smallest value? (a) 0.1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19208360 divided by -2.\nAnswer: 9604180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 49 - 50. Let a = y - 28. What is the tens digit of 456\/20 - (-1)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**7\/210 - r**6\/10 + 11*r**5\/20 + r**4\/4 - 20*r**3\/3 - 72*r**2\/5 - 991*r. Determine i so that q(i) = 0.\nAnswer: -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -595 or -594?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 16 = 0. Suppose -g = -4*z - 0. Let l(o) = 2 + 2 - 2*o + o**z - o. Let n(s) = -s**2 + 4*s - 5. What is -4*l(m) - 3*n(m)?\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8223139 and 0.5.\nAnswer: 4111569.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhht when four letters picked without replacement from ujjmhjattjajjjhtam.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17262 - -17228.937. Let f = 0.063 + t. Let y = f + 33.00000052. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(160\/(-6))*(-12)\/(-9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 102.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.007, -3\/2, -193, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 36911.\nAnswer: 1033508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(16\/(-12))*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 682*n - 680. What is the lowest common multiple of 105\/(-2)*(-1 - 1) and b(-1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-2067)\/106)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -1\/22*s**6 + 3*s**2 + 3\/385*s**7 + 14\/165*s**5 + 0 - 2\/33*s**4 + 10*s + 0*s**3. Suppose q(a) = 0. Calculate a.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 269 + 331 = 36*w. Suppose -122 = -4*g + f + 410, -2*g + 256 = 2*f. What is the highest common factor of g and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118385?\nAnswer: 5, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 98. Let f = -66 + d. What is the units digit of (-2)\/f - (-185)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 3.05. Let f = -0.608 - -1.108. What is the nearest to 0 in f, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2339818 by 2.\nAnswer: -1169909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + -26 - -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k + 57*k = 28*k + 1056 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*f = 157*f - d + 3, -3*d = -5*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -24\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 7:35 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 6 + 2*d**3 - 16*d**2 + d**2 + 0*d**3 as l + v*d**3 + g*d + f*d**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*x + 5*x + 22*x + 1 - 40*x to c + a*x and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -11250?\nAnswer: -11244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (35\/28*(-162)\/(-81))\/((-27)\/6)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/(-1 + (-6)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 3, p: 4, b: 2}. Give prob of picking 1 b and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/6*17*40\/544?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**2 - 42*y - 10. Let n be k(5). Let j(o) = -3*o + 1. Let z(q) = 4*q - 2. What is n*z(l) + 8*j(l)?\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t = -72*t + 264. Let r = t - 78. Solve -r = 7*a - 9*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 - 230 = -36*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*-8*4\/(-96). Let k be 31\/2 + (-3)\/(-6). Factor 3*f**4 - 8*f**5 + f**2 - f**3 - 9*f**u + k*f**5 - 2*f**3.\nAnswer: -f**2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 38, 63, 94, 131?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - 593c4?\nAnswer: -59414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/200 + 11*j**5\/300 + j**4\/10 + 2*j**3\/15 - 8*j**2 + 5. Factor b(v).\nAnswer: (v + 1)*(v + 2)*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719\/7 + -715\/7. Let 16\/7 + i*m**2 + 20\/7*m = 0. What is m?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 295400\nAnswer: -1\/59080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4994, -179, -4, 11.\nAnswer: -179, -4, 11, 4994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**2 + 7*i + 7. Let v(y) = -2*y**2 + y + 1. Let g(n) = h(n) - 6*v(n). What is the tens digit of g(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.4 + 53.7. Let f = b - 26. Let z = -1.70007 - f. Round z to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 535553362?\nAnswer: -535553362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*m + 3*i, 4*m = 3*m - 3*i - 13. Let g = -20 - m. Let s(h) = -h**g - h**2 + 5*h**2. Let y(x) = 4*x**2. Calculate y(s(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390.606 - -0.394. Let t = 396 - z. What is the nearest to 2\/5 in 0.4, t, 1\/3, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -5 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2298 + 2326.29. Let i = g - 28. Let k = 0.264 - i. What is k rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-6)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*v - 5*y - 31, 4*v - 24 = 5*y. What is the remainder when 65 is divided by (66\/8)\/(v + (-30)\/48)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 7*o - 11. Let q be j(-5). Let m = q + 3. Suppose 3*b - m*b = 1043. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321.081 + 308.081. Let d = 0 - 0.2. Which is the nearest to 2? (a) 4 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let f(a) = -3*a**2 + 600*a. Give m(f(z)).\nAnswer: -3*z**2 + 600*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10c - 4c?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)*q)**(-9\/10)\/(q**(-2\/3))**(-39\/4))\/(((q*q**8)\/((q**(-4)\/q)\/q))\/(q**(-4\/5)\/(q**(-2)*q))) assuming q is positive.\nAnswer: q**(-879\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*d + 215*d = 360. Solve -d*n + 38*n + 28 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + 88. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-2) - (1 + (-2 - -1)). Suppose 30 = -2*u + o*u. Suppose -6*q + 6 = -u*q. Solve 2*a - q = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - -18. Let r = m - 0. Let n = 43.8 - r. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -116. Let x be 240\/280 - (6\/(-14))\/3. What is the closest to x in f, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -30*r - 154. Let o(q) = 31*q + 155. Let c(f) = -3*o(f) - 2*v(f). Let d be c(-5). Solve 4*w - 2*b + d = 0, w + 2*w + 4*b - 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -81. Let v(t) = -9*t - 91. Is v(q) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6246 = -8*f - 6022 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001231488 to seven dps.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22 = -4*s, 0*m = -2*s - m - 21. Let n be (-4)\/1*6\/s. Suppose 2*v = 5*z - 0*v - 125, -61 = -n*z + 4*v. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*y - 95974 = 40034, 0 = n - 5*y - 33977. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0 (c) -0.6 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 3:00 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0*s**2 + s**2)*(-2*s**2 + 4*s**2 - s**2) + (4*s**2 - s**2 + 0*s**2)*(-3 - 3 - 8*s**2 + 10*s**2).\nAnswer: 4*s**4 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5943*u. Let k(y) = 2*y**2. What is w(k(z))?\nAnswer: 11886*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1 - -3 - -3). Suppose 0 = -u*c + 24 + 12. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 45*r = 5*q - 195, -q + 5*r - 2*r + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + a + 1. Suppose 0 = -2*i + 2*x + 6, 3*i + 3*x + 1 + 14 = 0. Determine z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9*z - 40. Let f be d(-12). Let l(g) = -g**3 - 3*g**2 + 8*g + 10. Let i be l(-4). Which is bigger: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8610\/(-19803))\/(4\/(-46))*17?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t**(-5)*t**(-2)*t**(-2\/3))\/(t*t**(1\/3)*t*t**(5\/4))**(-10\/19) assuming t is positive.\nAnswer: t**(-1901\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*b**2 - 5)*(0*b - 3*b + 2*b)*(-11*b + 10*b - 8*b).\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:26 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57809 is divided by 3541.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 22 = 3*d, 0*d = 2*d + 5*z + 23. Solve 0 = -3*h - 2 - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, -35.2, -691?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krhmknmnmkrrmnbmnnbm. What is prob of sequence bm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.4371 meters in kilometers?\nAnswer: 0.9084371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 6. Let h = 10 - j. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-4)\/(-14) + 47203\/91. Calculate the highest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337627 is divided by 2927?\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54 + -2)\/((-2)\/(-4)). Let o = h + -67. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4442 + -4445. Suppose 2 = -2*m + 8. Let n(k) = -m*k**2 + 5*k**2 - 1 - 3*k**2. Let y(h) = 6*h**2 + 3. Determine w*n(f) - y(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 23. Let f be o(-9). What is the common denominator of f\/(-40)*92\/(-11) and -53\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 7 + (-2 + 2 + 5)*(-1 + 5 - 2))*(q - 1 + 1)*(20*q + 12*q**2 - 20*q)*(0 - 1 + 2).\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299966 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5525358 and 51282?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 1960*o + 41343. Give l(304).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 4*f**2 - 4*f**2)*(0*f - 2*f + 3*f) + (-4*f**3 - 1 + 1)*(-2 - 1 + 2) - 2*f**3 + 3*f - 3*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1571 + 792. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:40 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j. Let p(f) = -8*f - 7. Let i(b) = -b - 1. Let m(x) = 42*i(x) - 6*p(x). Determine m(t(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483 divided by -129929?\nAnswer: 1483\/129929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.735 + -55.735. Let i be 3\/(2 + (-83)\/40). Let r = i - -122\/3. Which is the third biggest value? (a) 3\/7 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -128\/3*g - 47 - 16\/3*g**2 - 2\/9*g**3. Solve c(o) = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1626 divide 135491390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*z**2 - 48*z**5 + 6*z**2 + 31*z**5 wrt z.\nAnswer: -1020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -88, -5, 3, 3243 in ascending order.\nAnswer: -88, -10, -5, 3, 3243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 0.216?\nAnswer: 12.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*r**3 + 2)*(0*r - 2*r + 4*r) - 4*r**4 + 2 - 2*r**3 + 2*r**3.\nAnswer: 2*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26191080, -52382161, -78573242, -104764323, -130955404, -157146485?\n\"Answer: -26191081*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 2*i + 1. Suppose 4*l = -12, -2*j - 1 = 4*l + 5. Let s be c(j). Suppose 6*x = s*x + 28. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2. Let b(y) = 80869*y**2. Calculate b(f(m)).\nAnswer: 1293904*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let g(o) = 6 - 3*o - 3 - 3. Determine j(g(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**3\/3 - 7*d**2\/2 + 10*d + 3. Is b(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(-2 + 1 - 4) + 4*z - 17*z - 2*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9958020 and 49790100?\nAnswer: 49790100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-31)\/93)*(-190)\/10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*d - 855, -24 = -3*d - 9. What are the prime factors of x?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(2*k - 3*k - k)*(-360 + 41 - 337).\nAnswer: -2624*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 64, 97?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n**2 - 1\/10*n**3 - 234\/5*n + 232\/5 = 0. Calculate n.\nAnswer: 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 686400 by 600.\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100531132 (base 6) to base 15.\nAnswer: 24063b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129415.\nAnswer: 3, 5, 141961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 531 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1700) + -3 - (sqrt(153)\/(sqrt(81) + sqrt(9)) + 5))**2.\nAnswer: -273*sqrt(17)\/2 + 26641\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2. Let c(o) = 3990*o**2 - 3. Determine c(h(l)).\nAnswer: 143640*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225988 - -39322067\/174. What is the common denominator of k and -43\/474?\nAnswer: 13746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aat when three letters picked without replacement from {t: 5, a: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:08 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201113 (base 4) in base 12?\nAnswer: -841b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1136 - 1135.8. Which is the closest to v? (a) -4 (b) 3\/5 (c) -0.5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 34*y + 293. Give l(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 34. Let q be a(9). Let k(d) = d**2 + d. Let s be k(3). Is q\/(-8) + 711\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -39*o + 289. Let z(a) = -2*a - 16. Suppose -5*s + 19 = -2*t, s + 23 = -4*t - 4*s. Let f(h) = 5*h + 33. Let w(u) = t*z(u) - 3*f(u). Determine w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -842927 + 842948. Let g(z) = z**3 - 5*z**2 + 2. Let x be g(5). Which is the closest to x? (a) -5 (b) -1\/7 (c) r (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 3 - 12) + 5 - (-17 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 11*a**2 + 13*a + 11. Let p be j(-12). Let m be (-1)\/p + -3 - -1. Put -3, 0, m in descending order.\nAnswer: 0, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = 2*x - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -57. Let v be 2*(9\/21)\/a. Is v at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 10*x + 0 + 1\/20*x**6 + 0*x**5 + 0*x**2 - 3\/8*x**4 - 1\/2*x**3. Suppose w(u) = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 977613 and 5694.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*l + 378*l - 238954. Sort l, 2, -5 in increasing order.\nAnswer: -5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 4*n - 5. Let r be d(-4). Suppose -3*h = -r + 10. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*f + 1375, f - 11*n + 481 = -7*n. Do -466 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28665 + -16165. What is v rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.7. Let h = 0.4 + -0.7. Let r = h - -0.4. Which is the smallest value? (a) r (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 23. Let v(z) be the second derivative of z**3\/6 + z**2\/2 - z. Determine v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 8, 4*f - 11*j + 28 = -14*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3900855 rounded to three decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j. Let f(z) = -21*z**2 - 10*z. Let r(o) = -14*o + 44*o**2 - 76*o**2 - 22*o - 12*o - 72*o**2. Let l(y) = -24*f(y) + 5*r(y). Determine l(b(m)).\nAnswer: -256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggngggngg?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 + 199318*y - 199318*y - 31*y**2. Let i(x) = -7*x + 1. What is i(k(u))?\nAnswer: 161*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26988 and 1404?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159466 is divided by 157.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44.9 (b) 9 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 488\/373 in -0.8, -1\/9, -2\/15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/16 + 3\/(-4). Let z be (-21)\/(-6)*(1 - i). What is the highest common divisor of 63 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84) - 4*sqrt(84)*3)))))*1)\/((sqrt(96) - (-6*(5*sqrt(96) + sqrt(96)) - sqrt(96)))\/sqrt(8)*-6).\nAnswer: 11*sqrt(7)\/114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 98*t + 4010. Determine h(-41).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 185 - 35. Does 21 divide (-15)\/j - (-1002)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 3 + 19 + -20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -48 - (-109 - -82)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -117*i**4\/2 - 323511972*i**3 - 447264807564846*i**2 + 366986693392080*i - 45873340821600 = 0.\nAnswer: -2765060, 2\/13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-5\/2)*x**(2\/5)*(x\/x**0)**44*(x*x*(x**1\/x)\/x)**(11\/6)\/(x**(2\/9)*x**4) assuming x is positive.\nAnswer: x**(1823\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2\/9, -1192, 1\/5, -1, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 33903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354441 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*v**2 - 29*v**2 - 31*v**2 - 26*v**2 - 45*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7166976086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59716963471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 166?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474 + 565. Solve -v = -z - 93 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66032357851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*c - 20, -4*l - 3*c + 4 = -2*c. Let h(r) be the second derivative of 0*r**2 + r + 0 + 1\/6*r**3. What is h(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 29697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:28 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8001596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 110\/5 - (-40 - -27). Let h(f) be the first derivative of -24*f - 14*f**2 - c - 4\/3*f**3. Factor h(l).\nAnswer: -4*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - t - 199, 2*t + 1821 = 9*v - t. What is the remainder when v is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 1:54 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 153737.7965 and 0.13?\nAnswer: 153737.6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3278913 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 16*r + 71. Let z(d) = d**3 + 13*d**2 + 8*d - 10. Is z(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1216) + (sqrt(1216) + 5*sqrt(1216))**2) + sqrt(1216) - (-3 + sqrt(1216)*-5)**2.\nAnswer: -161737 - 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2158 - 1250. What is the remainder when x is divided by 299?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6. Let o = 1 - g. Let f be 5640004\/(4\/(-1)) - o. Round f to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j - 11. Suppose -5*t + 5 + 15 = 0. Let s be d(t). Suppose 5*y - 3*k - 95 = 0, 3*k - s = -4*y + 90. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 168. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -3, -97323, 0?\nAnswer: -97323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, o: 1, a: 1, t: 1, e: 3, d: 2}. What is prob of sequence eae?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 4*s - 19. Let l be x(-3). Suppose 3*t - l*n + 3*n = 1260, 0 = 5*t - n - 2107. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 6*u**2 - 23*u + 0*u**3 + 0 + 3\/10*u**5 + 0*u**4. Let z(w) = 3*w. Determine i(z(f)).\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/15 - 2 - (-1189)\/123?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317375589 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0247544 to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -832, -1852, -3274, -5098, -7324?\nAnswer: -9952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 29*h**2 + 2*h + 61. Give l(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -1\/12*m**6 + 3*m**2 + 6 + 0*m**3 + 0*m - 1\/12*m**4 + 1\/5*m**5. Let d(x) be the second derivative of h(x). Factor d(y).\nAnswer: -2*y*(y - 1)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13010907941.045 - -19.\nAnswer: 13010907960.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 7*f - 505. What is the highest common factor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r = 26*r + 585. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65498694?\nAnswer: 2, 3, 10916449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {o: 2, k: 7, m: 2, y: 1, a: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/35)\/(9624\/20). Let o = -29723202703\/3609 - -8235854. Let p = g + o. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(18233*f - 17398*f + 5 - 4 - 1) as q + b*f and give b.\nAnswer: -1670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -73. Let z = k - -31.0000013. What is z rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1276 - 1276.4. Let c = 2.2 + 0.8. Put -0.1, c, s in descending order.\nAnswer: c, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6472 = -36*h + 32*h, -w = -4*h - 1608. What are the prime factors of w?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((0 + sqrt(304) + -3 - sqrt(304))*-6 + -2 + -2 + sqrt(304) + sqrt(304) + -1 + sqrt(304)*-2))**2 + 0.\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653 (base 7) to base 9.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 93 = -3*z, -4*i - 118 = 4*z - 2*i. Let o = -6 - z. Suppose -t + 26 = -5*l, -3*t - 2*t = 5*l - 40. What is the greatest common divisor of o and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-u + 0*u + 0*u) + u - 2 + 2 - u - 2*u + 5*u + (29 - 13 + 32)*(-2*u - u + 2*u) + 3*u - 7*u + 2*u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 71841.\nAnswer: 574728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)\/u)\/u**23*u*u**(5\/4)\/u*u*u\/((u*u**(-4\/5))\/u*u) assuming u is positive.\nAnswer: u**(-719\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 14 - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + m**4\/4 - 2*m**3\/3 - m**2. Let g be u(-7). Suppose 0*l - 3*l = 0, -l - 63 = -g*i. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20) - 183\/(-220)) + 1\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:19 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.39074 millimeters in centimeters?\nAnswer: 9.339074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11510032 (base 6) to base 2\nAnswer: -1011001100011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -4, -3, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (72\/(-28))\/((-39)\/(-39247)*(-4)\/56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-775) - 8575\/(-775)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54867 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1712 divided by -13683.\nAnswer: -1712\/13683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/20 in -1, -211, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(448) - sqrt(42)\/sqrt(54)).\nAnswer: -49*sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.82 + -0.28. Let b = -0.3258425 - -1.4258909. Let s = k + b. What is s rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let v(x) = -1. Determine 4*p(i) - 3*v(i).\nAnswer: 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 5 + -5 - (35 + -69 - -50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 + 34.6. Let t = w + -35. What is the nearest to 2\/3 in t, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/78)\/((-28)\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 24. Let w be (-4)\/b*(0 - 2). Find the common denominator of w\/(-3) - 340\/(-66) and 5\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + 9*p**2 + 10*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*h + 1133 + 700 + 4303 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2 - 7. Solve 3*u - 20 = 4*l, r*l - u = 2*u - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m + 6. Let l be ((21 + 3)\/(-3))\/(-2). Suppose 0 = -2*k - 2*k - 3*x - 11, 5*k = -x. Put k, l, m in decreasing order.\nAnswer: l, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 54997774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 2597827125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -4.4.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/90*5)\/(114\/9)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2687.76627 to 0 decimal places.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6607*f**3 + 2*f**2 + 3*f + 1. Let s be d(-1). Let k be (33986\/2)\/((-3)\/(-3)). Suppose s = 4*l - k. 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 thousands digit of 63212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - j + 3. Suppose 3 = -3*k + 6. Let f be d(k). Solve 3*b = -2*u - 15, b + f*b = -u - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5667 is divided by 280?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*v - 7 = 0, 7*o - 4*o - 2*v + 1 = 0. Is o\/3 - 212\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.1, -2\/11, 19, -36, -19?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:52 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1183*j + 291*j + 315*j**2 + 892*j.\nAnswer: 315*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-33) + (24\/33)\/4. Let f = 3 - i. Suppose f*x = 2*o - 16, -2*o + 2 + 0 = 4*x. Calculate the remainder when 8 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192850 and 7980.\nAnswer: 1157100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 0 + (1 - 3 + 3)*(0 - 2 + 1))*(-64 - 154*r**3 + 67 + 583*r**3).\nAnswer: 858*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7031267682 rounded to the nearest 1000000?\nAnswer: -7031000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -44*o + 41*o. Solve 0 - o = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 15*l + 43*l in the form n*l + p and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*(m*m\/m**(-12))\/m*m*m*m*m*m)\/m)\/m)*m*m*m**(-15))**(-39\/5))**(-2\/65) assuming m is positive.\nAnswer: m**(-174\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1613*m**3 - 8*m**2 - 8*m - 16. Let b(z) = 582294*z**3 - 2889*z**2 - 2889*z - 5778. Give -8*b(q) + 2889*n(q).\nAnswer: 1605*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 74\/5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/30)\/(3\/(-1539)). Calculate the greatest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skoohwwhfkhk. Give prob of picking 1 f and 1 w.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j*(j*j**26*j*j)\/j*j)\/j))\/j**(4\/25))\/((j*j**37\/j)\/j)**(-7))**(6\/13) assuming j is positive.\nAnswer: j**(33726\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -558, -5, -2 in ascending order.\nAnswer: -558, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5194 - 5193. Solve -4*y + l = 17, u - 13 = 2*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -386, -377, -348, -287, -182, -21?\n\"Answer: 2*t**3 - 2*t**2 + t - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**7\/5040 - c**6\/360 - c**5\/15 + 4*c**2. Let x(m) be the third derivative of q(m). Determine x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279152.3 kilometers in nanometers?\nAnswer: 279152300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 3*c = 47, -5*j = 4*c - 51. Suppose -4*b = j - 15. Suppose -68 = -b*a + 110. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52897513 divided by -1125479?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3\/2 + 17961*n**2\/2 - 13614972*n + 517413546 = 0?\nAnswer: 39, 2974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 164285.9us in milliseconds?\nAnswer: 164.2859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1930 and 15826.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 - 381110\nAnswer: -381108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 + 11 - -100) + (-3 - (0 - (12 - 1)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001625535 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 497\/5 + 44\/(-10) + 5. Let v(d) = d**3 + 5*d**2 + 3*d + 1. Let o be v(-4). Suppose o*k - s = -0*k. Calculate the smallest common multiple of 10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464474 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19*m + 17. Let j(f) = f - 1. Let u(p) = 6*b(p) + 102*j(p). Let h(y) be the second derivative of y**3\/6 + 2*y. Calculate h(u(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 440755677 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z - 2257951 + 2258119 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/22 + 3 + (-1800)\/(-22). Let l = -77 + u. Find the second derivative of 2351*k**2 - 15*k**l - 14*k - 2351*k**2 wrt k.\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1856124*o + 9. Calculate i(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113, 687, 2045, 4505, 8385, 14003?\n\"Answer: 53*y**3 + 74*y**2 - 19*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -32*w**3 + 1. Let u be y(-1). Let g be 37*1 + -27 + 24. Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40405\/2004 + -3\/668. Let m be (81\/(-63))\/(2\/(-1239)). Let u = m + -844. What is the common denominator of u and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 31*p**2 - 49. Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 296, 978, 2296, 4460, 7680, 12166, 18128?\n\"Answer: 35*h**3 + 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.37 - 3.54856. Let k = 0.08138 - y. Let x = k + -0.26. What is x rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/55859804 and 8\/767305.\nAnswer: 279299020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*n = 15, 0 = -5*d + 8*n - 7*n - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**23*((l\/(l*l\/(l*l**16)*l*l))\/l)\/l*l*l*l**(1\/22) assuming l is positive.\nAnswer: l**(-1715\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 36147 = 10*y - 61638. What are the prime factors of y?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2001980 and 5270?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcc when three letters picked without replacement from {i: 1, c: 2, k: 1, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n)**0)**(-38) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -2)*-1*6 - (-5 + sqrt(637) + sqrt(637) + (sqrt(637) - (1 + sqrt(637))))*1)**2.\nAnswer: -2016*sqrt(13) + 41092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 214 + 94 = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97088813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3834763us in hours?\nAnswer: 0.00000000066207675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/21 (b) 368 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 189?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:21 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, 1.3, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4550, -9036, -13522, -18008, -22494, -26980?\nAnswer: -31466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 28*r**2. Let o(p) be the first derivative of 2*p**3\/3 - 45. What is o(c(q))?\nAnswer: 1568*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/5)\/6*((-40)\/(-15) + -3). Let p(d) = 3*d + 18. Let c be p(-6). Suppose -y*s - 1\/3*s**3 + c - 2\/3*s**2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) + (-1)\/4. Suppose v = -2*m + 5*m - 24. What is the remainder when 30 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2673776991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 155 = 3*d + 2*d, -3*n = -5*d + 180. Suppose -55 = -38*s + d*s. Solve 4 = -4*b - 2*g, s = -5*b + g - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/80 + 1\/2. Let c = 113 - 109. What is the third smallest value in z, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d**4 - 5*d**4 + 3*d**4)*(-1 - 2*d + 1) - 3 - d**5 + 3)*((7 - 2 - 1)*(-3 + 5 - 4) + 2 - 6 + 1).\nAnswer: -77*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 54, 138, 264, 438, 666?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561 by -1.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -20, 446, -8 in descending order.\nAnswer: 446, 5, -1, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 44, 102, 216, 404, 684, 1074?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10874687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((583\/33)\/53)\/((7\/192)\/7)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 224287 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (-2 + sqrt(3))**2 + 1 + (-2*sqrt(21) - sqrt(21))\/sqrt(7).\nAnswer: -6*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*q = 23804348 - 23879612 for q.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 51. Let a(x) = 3*x - 54. Calculate 2*a(h) - 3*z(h).\nAnswer: -3*h + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 12 = 6*r - 11*r, -r - 2*l = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x**3 + 34*x**3 + 37*x**3 + 8*x**3.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**3 + 4*h**3 + 13*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(-17\/4)*z**6\/(z*z*z\/z**(-7\/4)) assuming z is positive.\nAnswer: z**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 382*j + 103*j - 7760 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + (4 - 6) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 764 + -193. Suppose -13*t = z + 573. Let o = t + 124. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 36. Let v(f) = f**2 - 6*f + 8. Let i be v(l). Suppose i*t = 119 + 73. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*k + 156 = 0, 52*k = -m + 15*k + 249 - 1725 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + h + 800 = -329, 2*h - 5652 = -5*p. Let o = -1134 + p. Let d = 33 - 135\/4. What is the closest to -0.1 in d, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4424786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x + 54. Does 4 divide c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 3 - 90*g**3 - 300*g**3.\nAnswer: -394*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(-15))*f**(21\/2) assuming f is positive.\nAnswer: f**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/54*108\/1026?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11203.55714 + -0.54286. What is u rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -741465 by 3.\nAnswer: -247155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 2. Let p be j(2). Suppose -7 = -p*r + 1. Let l(g) = g**3 - 3*g**2 - 3*g - 1. Calculate the remainder when l(4) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -17*i**2 + 1\/12*i**5 + 0*i + 0 + 25\/24*i**4 + 0*i**3. Let s(q) = 0. Calculate q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22211012 - 1?\nAnswer: -22211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 4*n**4 + 0*n**4 + (-42*n**3 - 79*n**2 + 79*n**2)*(3*n + 0*n + 2*n).\nAnswer: -211*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19812 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/5 - 131436*u**4\/5 - 3021084*u**3\/5 - 5647876*u**2\/5 - 2758224*u\/5 = 0. Calculate u.\nAnswer: -32836, -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2064\/(-8600))\/((-18)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 23\/108, -12, 0.21, -1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 3. Let b(q) = -q**3 - 5*q**2 + q + 1. Let z be b(-5). What is p(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n + 17. Let v be t(6). List the prime factors of (-32)\/(-14) - (-1 + (-9)\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - 0.19. Let l = b - -0.4. What is the nearest to -2 in -0.1, l, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/8, 1094, -0.3?\nAnswer: 1094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 828 + 3 + 2 + -3. Suppose c = 6*c - x. Suppose 0 = 5*n - c - 199. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/2)*m\/(m\/(m*m*(m*m*m*m**(8\/3))\/m*m))*m**(-8)*m*(m*m**7\/m)\/m)**(33\/4) assuming m is positive.\nAnswer: m**(407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.3367?\nAnswer: -3.0303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b**2 + 16*b + 7. Determine p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-12)*12\/(-39).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*m + 17*m - 3*m**3 - 2*m**3 + 2*m**3 + 2*m**3 + m + (0 + m + 0)*(2*m**2 - 4*m**2 + m**2).\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60.42668 times 0.7\nAnswer: 42.298676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2 - -3)*1. Let x be (-4)\/((1\/t)\/(-1)). Suppose 2*c + 2*u - 10 = 0, 0 = -x*c - 5*u + 4 + 17. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 8*o**2 - 5*o - 12. Let v be x(7). Suppose 14 = -v*b - 2*c, 2*c - 4 = -5*b + 6*b. Let l = b + 57. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**4 - z**2 - 3*z + 2 + 9*z**4 - 2 to the form s*z**2 + g*z + q*z**3 + m*z**4 + w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3395967598.\nAnswer: 2, 41, 1031, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 13) to base 2.\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) - 123\/(-9). Suppose 5 = -a + k. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10161, -7, -3 in increasing order.\nAnswer: -10161, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 - 83639*w**4 - 3*w**3 - 350598*w**2?\nAnswer: -60*w**2 - 2007336*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372\/5 + 74. Let p = -105 + 93.9. Let f = 11 + p. Which is the second smallest value? (a) v (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 153*l**2 - 516*l + 6156. What are the prime factors of v(12)?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 14. Solve n = -0*m + 5*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*w + 39 - 21 - 18)*(-323 + 31 - 182).\nAnswer: 34128*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-118)\/2*((-4)\/(-1212))\/(-1) and 43\/18.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 10*a - 4. Let z(p) = 2*p**2. Determine v(z(f)).\nAnswer: -8*f**4 - 20*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**3 - 2*u**2 + 4*u - 2. Let s be v(1). Suppose -2*l = a - 5*l + s, 4*a - 24 = -3*l. Solve -r - 3*g + 18 = 0, 0 = -0*g - a*g + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5293*u + 5286*u - 10455*u = -7068 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 12593112*u + 19823308730568.\nAnswer: 2*(u - 3148278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from {c: 15, w: 3}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.73541 - 0.07459. Let u = 0.81 + j. Let m = -39 - u. What is the nearest to m in -0.1, 0, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -4\/245?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.132385ng to milligrams.\nAnswer: 0.000001132385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5009\/3? (a) -1 (b) 11 (c) -5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 3*x**6\/10 - 3*x**5\/2 + 13*x**4\/12 + 10*x**3\/3 + 2*x**2 + 15*x. Suppose z(b) = 0. Calculate b.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10156 - -26873. Let y = f - 7777. Round y to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1649340151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - -2d?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -869.43?\nAnswer: -870.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/839 and -17\/112639?\nAnswer: 94504121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/18*20\/5. Which is the second biggest value? (a) -1 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/(-5)) + -3. Let q = 12 + -11. Is q greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -m - 2*m + 2, 0 = -5*m + d + 1. Suppose 2*y + m*y = 30. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 3*f + 6. Let k be (20\/(-35))\/(3\/(-21)). Let i(v) = -2*v**2 - 2*v - 5. Calculate k*l(r) + 5*i(r).\nAnswer: -2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11115*s**4 - 27 - 23*s**5 + 2*s**2 + 11120*s**4 - 22217*s**4 + 7*s wrt s.\nAnswer: -1380*s**2 + 432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -11*g**3\/6 - 159*g**2\/2 + 498*g. What is r(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167465 + 167465. Factor h + 1\/3*a**2 + 2\/9*a + 1\/9*a**3.\nAnswer: a*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*m - 4, 0*i = -i + m + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367 by 6646.\nAnswer: 367\/6646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 42*q + 200. Let y be w(-5). Is y >= -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2315 + 3330. Calculate the remainder when c is divided by 130.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10246 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u - 2*u + 3*u - 4*u + 2*u + 4. Give b(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.095 - 0.021. Let d = -0.926 - v. Let m = 12.06 - 12. What is the closest to m in -0.3, d, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.96 + 0.04. Let r = 9 - u. Which is the closest to 0.2? (a) r (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)*((r\/((r\/(r\/r**(-9\/2)))\/r))\/r)\/r assuming r is positive.\nAnswer: r**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r = -r - 2*r - 407 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 3}. What is prob of sequence cffc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 + 7*h**2 - 6*h - 7. Let a(f) = 6*f**3 - 6*f**2 + 5*f + 6. Let z(s) = -7*a(s) - 6*g(s). What is the second derivative of z(y) wrt y?\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2181 - 2156 = -w - 2*x, -5*w = 4*x + 53 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -31 + 17 - -5 - 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + 0.43. Let f = -0.11 + 0.11. Which is the closest to -1\/2? (a) f (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49.7+-47778\nAnswer: -47827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4 + 10. Suppose -p*c - 4*f = 0, f = -0*f. Suppose 3*n - 5*v - 66 = -2*v, c = -2*n + 3*v + 42. What is the greatest common divisor of 216 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-106)\/(-583)*-77\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-1152)\/(-17280))\/(31\/15)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 0.7. Let i = h + -0.3935. What is i rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/3 - 120\/90. Let z(x) = -420*x**3 - x + 419*x**3 - h*x**2 - 3*x. Give z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**4\/24 - 19*y**3\/6 + 460*y**2 - 2. Determine l(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -7*n - 17. Let j be 170\/(-50) - (-4)\/n. Is ((-5 - -4) + -40)*j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 8*q. Suppose 0 = 5*l - 5*v + 5, -l + 5*v - 2 - 3 = 0. Suppose 0 = -2*x - l*x. Sort q, -2, x in ascending order.\nAnswer: -2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93010 at least -93010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 13 = 17, -4*d - 4*p - 2 - 9 = 49 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + 3*o)*(-2 + 4 - 1) + 484 - 484 - 18*o + (-3 + 4 + 0)*(0*o - 3*o + o).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 17. What is the smallest common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 = 5*h - 4*r, -5*h - 1 = -4*r. Let q(y) = 5*y**h + y - 3*y**3 + 6 + 3*y**3 - 5*y**2 - 4*y**3. Is 5 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1122 = 2173. Let v = t + 661. Solve -v = -m - 2*o, 2*m + o = 6*o - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8103 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*n - 4*n + 447 - 582*n**3 + 14*n - 486 - 280*n**3 wrt n?\nAnswer: -5172*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631820 to the power of 1\/2, to the nearest integer?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -16. Let r(c) be the second derivative of -c**5\/20 - c**4\/12 - 2*c**2 - c. Let z be r(n). Solve z = -4*j + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 349*h - 27. Let f be q(23). Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 825368.\nAnswer: 15\/825368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3*p**2 + 31*k**3 + 4*k*p**2 - 9*p**4 wrt p.\nAnswer: -4*k**3*p + 8*k*p - 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6619338.\nAnswer: 2, 3, 11, 101, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644809.\nAnswer: 89, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let t(n) = n**2 + 10*n + 3. Let c(w) = -3*f(w) - t(w). Let r be c(-5). Suppose 4*y - 92 = r. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7007*769.\nAnswer: 5388383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 + 1. Let g = 2 + -5. Let b(i) = 2 + 3 - 2 - 7*i**2. Let p(a) = g*b(a) + 5*u(a). What is the derivative of p(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*v - 20*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35274830 by -11390.\nAnswer: -3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1113.4 + 150.4. Which is smaller: g or 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. Suppose -a*k + k = 9. Is k at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 653410 and 6991487?\nAnswer: 69914870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 32 = 0. Let n = r + -19. Let l(s) = -3*s + 4. Let k be l(-3). What is the greatest common divisor of n and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202 + -22?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11724934 to the nearest integer?\nAnswer: 3424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 3713 = 1344. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/8)\/(9\/24). Calculate the highest common factor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 202581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 288764897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 2 + -6 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 bigger than -38753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235014015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 0 + x**2 - 2 + 2. Let q = 2 - 0. Let i(m) = 2*m**2 - 2*m**q - m**2. Give -6*i(j) - 7*s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c + 46*c + 69*c - 155*c + 6 = 4*r, 2*r + 32 = -4*c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 3*x - 759 + 60 - 615.\nAnswer: 3*x - 1339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 z when three letters picked without replacement from zxzcgxngxxxcxxxnz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14741, 14396, 13821, 12902, 11525, 9576?\nAnswer: 6941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1603 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27864 rounded to 3 dps?\nAnswer: -0.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2313 - 2310. Solve 4*l - 10 = g*l + 5*i, -2*i = 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -34*i**2 + 8*i - 7. Calculate l(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 4*u**2 + 5*u - 4. Let l be q(5). Let a(n) = -17*n**3 + 2*n**2 - n + 1. Let j be a(l). Suppose 5*y + 385 - j = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 2*p - 1. Let r = 117 + -99. Suppose 0 = -a - r + 17. Determine l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293642788 + -2661?\nAnswer: -293645449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 592993909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**10*d*d))\/d)\/(d*d**6*d*d)*(d*d**8)**(1\/2) assuming d is positive.\nAnswer: d**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 38*p + 46. What is the tens digit of u(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*l + 4073605 = 105*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 - -294 - (-3 + 9 + -8)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*h**3 - 146983*h**2 - 152*h = 0 for h.\nAnswer: -1\/967, 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -212*y**3 - 1064*y**2 + 1008*y + 5141. Determine p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsksskvfs. What is prob of picking 1 v, 1 s, and 2 k?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.1902 * 0.2\nAnswer: 0.23804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 1772.769453?\nAnswer: -1784.769453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -9116 - -15918. What is the highest common divisor of b and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121859, 121815, 121771, 121727, 121683?\nAnswer: 121639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 + -103. What is the nearest to 0.2 in -4, u, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:55 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1485.043l?\nAnswer: 1485043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 11*q + 2. Let l be i(-8). Let h = -1410 + 1431. What is the greatest common divisor of h and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 5. Let i be s(5). Suppose i + 6 = 3*w. Is (-1 + 3)\/w*10 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22 and 89\/4060.\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -37. Suppose -2*i - 34 = -5*j, 5*j - 6*i - g = -i. Suppose -u + 8 = 3*u. Solve 0*x = 5*t - 3*x + j, u*x = -t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 15. Calculate c(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.122384564 and -31?\nAnswer: 31.122384564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = s + 63. Which is smaller: s or 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:06 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.3413 centuries to years.\nAnswer: 8534.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 17223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403449781 and 931.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3*b**2 + 2*b + 22. Let w be l(15). Let y = w - -5587. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 12*m + 1. Let l(r) = -r**2. Let h(t) = k(t) - 4*l(t). Does 11 divide h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:11 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from oktoctoqkooccaockko.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 14 = -4*x - 3*i, -5*x = -2*i - 21. Calculate the highest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-16)*(-22)\/(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nsssksskkwkswkskssks?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:44 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, w: 1, c: 3}. What is prob of sequence fcwc?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 73. Suppose w = -4*y + 6*y + 3*t - 488, 0 = -5*y + 3*t + 1262. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 2. Let h(w) = w + 6. Let q(m) = 2. Suppose -104 = -11*c - 2*c. Let l(f) = c*q(f) - 3*h(f). Give -5*l(o) - 4*v(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97594?\nAnswer: 2, 7, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m + 3. Let x be (-2)\/m - 6\/(-18). Suppose 0 = 3*d + 3*n + 15, 15 = 2*d + 3*d - 3*n. Put 3, d, x, -20 in descending order.\nAnswer: 3, x, d, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 3 - 2) + -3. Let q(x) = -5*x**3 - 2*x - 2*x**2 + 0*x**2 + 4*x**3. Let f be q(p). Which is the biggest value? (a) f (b) -1\/6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18117*0.4\nAnswer: 0.072468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423 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 2:42 PM and 5:14 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 - 4*f**2 - 6*f - 2. Suppose 3*m = -0*m + 5*g + 54, 0 = -4*g. Suppose -y = -12 + m. Give p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*w**2 + 135*w**2 + 2255*w**3 - 1132*w**3 - 1129*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 >= 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**7\/7 + 41*u**6\/120 + 823*u**5\/20 + 3*u**2 - 44*u + 14. What is the third derivative of f(m) wrt m?\nAnswer: 720*m + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:51 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3976\/1140 - 6\/15. Let h = w - -763\/38. What is the common denominator of h and 51\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52430 - -264?\nAnswer: 53024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8023\/9 - 886. Calculate the common denominator of p and (11 - 325\/30)\/(((-115)\/290)\/1).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 695232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**0\/u*u))**(-35))**(-44)*((u**(2\/3)*u*u)\/(u*u*u**(2\/3)))\/(u**(-7)*u**6*u) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5613)\/(-20) + 2\/(-8). Let y = 5173\/20 - k. Calculate the common denominator of y and 47\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0 + 0*t**2 - 1\/6*t**3 + 2\/3*t**4 - 14*t. Let f(o) = -4*o. What is f(j(z))?\nAnswer: -32*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 176320.\nAnswer: -1\/176320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14227\/24 - 596. Calculate the common denominator of y and 13\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 463223 - 4?\nAnswer: 463217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/580)\/(3\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59486 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:47 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 86?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-7)\/(-98)). Let q(p) = 6*p + 17 - 6 - 18 + p**2 + 0*p**2. Give q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11361 - 5*r - 5608 - 5659 + r + r - r + (2 - 4 + 0)*(r + 3*r - 2*r) to the form v + j*r and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422030446 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -488178626 or -488178628?\nAnswer: -488178628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-35)*h\/h**(2\/17) assuming h is positive.\nAnswer: h**(-563\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 78. Solve 6*s - 3*s - 3 = -3*v, -4*s + 5*v = o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 6985. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41064093?\nAnswer: 3, 7, 651811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17462190311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -53. Let x(v) = v**3 + 4*v**2 + 6*v + 3. What is the hundreds digit of x(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 1. Let y(d) = -7*d - 8. Determine 51*u(x) - 6*y(x).\nAnswer: -9*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*u + 18*u - 32*u - 109725. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 57. Suppose g = -5*l + 3*l + 90. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6838.\nAnswer: 2, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/9 + 22*s\/9 + 32\/3 = 0.\nAnswer: -16, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 190 = 5*o, 2*o - 5*t = -o + 145. What is the remainder when 339 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4577*y**2 + 1484*y**2 + 1888*y**2 + 1921*y**2. Let r(h) = -7*h. Calculate r(d(f)).\nAnswer: -5012*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42744*g**2 - g + 25156?\nAnswer: 85488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -1082, -1663, -2284, -2957?\nAnswer: -3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3251 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/125 - -137\/250. Let d = -2.6 + 3. What is the closest to x in -0.4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 7*d**2 - 8. Let g(m) = 19*m**2 + 13*m**2 - 49*m**2 + 19*m**2. Calculate t(g(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 626002.094401 and 0.2.\nAnswer: 626002.294401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16.8 or 2\/7?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556916096 + 71*r + 556916096.\nAnswer: 71*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 33038 = 3*l + 9311, 5*l = a - 23767. What are the prime factors of a?\nAnswer: 2, 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 699\/8 - 87. Let a be -6*(2 + 38\/(-20)). Sort a, s, -0.3 in decreasing order.\nAnswer: s, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, 2815 in ascending order.\nAnswer: 4, 15, 2815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31649 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8862.164ns in milliseconds?\nAnswer: 0.008862164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzcchhhcccwz. What is prob of sequence hz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19159 or 19790?\nAnswer: 19790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2703, 5161, 7211, 8691, 9439?\nAnswer: 9293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3773 (base 12) to base 8\nAnswer: -14207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187241741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfuuafacffcfffcccz. Give prob of sequence aff.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 23. Let f(j) be the second derivative of j**4\/6 + j - 429. Calculate f(w(m)).\nAnswer: 18*m**2 + 276*m + 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - a = -7, 5*u - 4*a + 18 = 3*u. Let l(x) = -30*x - 27. Let s be l(u). Determine b so that 4\/5*b**2 + 4\/5*b**s + 0 - 8\/5*b = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0097829756 and -118.\nAnswer: -117.9902170244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.509\nAnswer: -3.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 32, 14, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h - 1)*(-69 + 69 - 23*h).\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 60*y - 1240. Calculate the remainder when 133 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25280 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let b(z) = -126273*z - 29. Calculate x(b(h)).\nAnswer: -126273*h - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 234.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 26\/(-6)) + (-2)\/6. Suppose k*h = 6*h. Suppose 6*y - 392 + 2 = h. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - (-1)\/(1 + 90\/(-88)) and 101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000034518 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 570.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142627312.\nAnswer: 2, 1367, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5444 + -5?\nAnswer: -5453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.116 = -610.507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 8. Let a be 1*-1 - p\/(-9). Do -3\/5 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-46)*((-160)\/(-240))\/2\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/120*46)\/((-1)\/3*49\/(-98)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12524 and 61\/1364.\nAnswer: 137764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14418671 and -12.\nAnswer: -14418683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10113 - 37432 = -257*d. Solve 9*a + 28*a = d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5877*s + 58463 - 78213 + 146076 = -326203 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -14, 5, 0, -2 in increasing order.\nAnswer: -14, -9, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39277, -39272, -39269, -39268, -39269?\nAnswer: -39272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-10))\/(9\/180). Is ((-8)\/52 - 4\/(-26)) + d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8118\/9 - (-3 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*m - 62*m - 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-7 - -8 - (0 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 914, 921, 932, 947?\n\"Answer: 2*p**2 + p + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-238)\/22 - 4\/22. Let r(k) = 2*k + 29. Let j be r(-12). Suppose 0 = j*x - 2*l + 50, -68 = -x + 5*x + 4*l. Is x != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -0.39426?\nAnswer: -0.37426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2771*-264.73.\nAnswer: -73.356683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000151584 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:39 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9572549 centuries?\nAnswer: 9.572549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1295*x**3 + 4*x**2 + 10*x + 12. Calculate i(-1).\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -22031003231?\nAnswer: -22031003230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*q = -559 - 998 - 1350 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6627 - 5842 - 66*y + 68*y.\nAnswer: 2*y + 785","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335, -1330, -2989, -5312, -8299?\n\"Answer: -332*i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.3. Let x = 77\/3 - 25. Which is the closest to x? (a) n (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*-3 + sqrt(825))\/sqrt(2187).\nAnswer: -10*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z + 225 - 139 - 152 - 6*z. Determine o(24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + -33 + 25 + 14 - -35\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 2*l**2 - l. Let r be 21\/28 - (-2)\/8. Let w be i(r). Is w equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 1530?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 46\/(-6). Suppose -3*k - 19 = -7, -178 = -3*d - 2*k. Let a = d + h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 4*w + 20. Let s(h) = 5*h**2 - 3*h - 25. Let f(y) = 2*s(y) + 3*z(y). Calculate f(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (305\/3477)\/(3\/6)*(-9)\/15?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2181 divided by 727\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - c**3 - 11*c**2 + 11*c**2 + 43*c - 43*c - c**3 + (2*c + 0*c - c)*(0*c**2 + c**2 + c**2) + 0*c**3 - 2*c**3 + 4*c**3 + 25 + 8*c**3 - 25.\nAnswer: 10*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16033 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -968 + 987. Solve 5*y - 39 + m = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -15*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.5. Let j = z - -0.5. Let a = j + 0.4. What is the nearest to -2\/7 in a, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p**3 + p**2 + 8*p - 18. Does 6 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445456512 and 1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 10944*y**2 - 43860*y + 54800 = 0. Calculate y.\nAnswer: -5, 1, 2740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = 27. Suppose -i*o - 3*t = -0*o + 39, -12 = 4*t. Suppose -3*w = 2 + 19. Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1257.5 to the nearest 10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/10)\/(1\/25). Let d = 12 - p. Let v = d + -1. Solve -v - 3 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**8\/6720 - r**7\/420 - r**5\/30 + r**4\/4 - r. Let l(a) be the third derivative of h(a). What is l(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (64 - -4) + (613 - 642).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312900 = -y + 6*y. Let r be y\/15 - 2\/(-3). Let z = -27306 + r. Round z to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 49.75710937366?\nAnswer: -49.55710937366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2043 - -2.\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -2*m**2 + 0*m + 0*m**3 + 0*m**4 + 0 - 1\/60*m**5. Let n(l) be the second derivative of l**4\/12 - 2*l. Give y(n(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4507963\/11 or 409816?\nAnswer: 409816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80008836 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:50 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1268*m**3 - 2751476 - 21*m**2 + 2751476 + 31*m wrt m.\nAnswer: -7608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose q*b = b - 2. Solve b*f = -f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37735\/134 or 281?\nAnswer: 37735\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1131\/39)\/(-145)*(-3)\/(-2)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -141674.\nAnswer: 16\/70837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + i = 2*i - 54, -32 = -2*s - 3*i. Let q be 0 - (33\/(-6)*2 - 4). Calculate the greatest common factor of s and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**5 - 4*i**3 + 8*i**3 - 4*i**3 + i wrt i.\nAnswer: 200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 19*z + 95 = 0, 5*u - 11 = -z + 126 - 7 - 33 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 336658801 to the power of 1\/3, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7920*x + 6760*x + 3*x**3 - 14680*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8744 is divided by 153?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 - i + 1. Let n be -1 + 2 - (-3 - -3). Let w = -3 - n. Let r(c) = c**3 - 2*c**2 + 3*c - 2. Determine w*z(t) - 2*r(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402.4 - -470. Let z = -73 + q. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (110 - (54 + 90))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2740 + -19179\/7. Let g be ((-4)\/(-6))\/(16\/24). Let y be 11\/51 - g\/3. What is the third biggest value in -2\/13, y, -3\/2, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-21)*(-49)\/70*(-100)\/(-750)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(112)*-6 - sqrt(112)) + -1 - (3 + (sqrt(112) - ((sqrt(112) + sqrt(112) + sqrt(112) + 2 + -5)**2 - sqrt(112))))) + 2.\nAnswer: -12*sqrt(7) + 1015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7901\/230 + 1050\/23. Calculate the common denominator of 25\/8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(416) - sqrt(416))\/((5*sqrt(8) + sqrt(8) + sqrt(8))*-6)*2.\nAnswer: -58*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-112)\/140)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 2, g: 5}. What is prob of picking 2 v, 1 g, and 1 e?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 + 26*a**2 - 11*a + 10. Let u(k) = k**3 + 5*k**2 - 2*k + 2. Suppose -f - 3*f - 108 = -152. Calculate f*u(p) - 2*n(p).\nAnswer: p**3 + 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 118 = -2*z, z - 2*z + 3 = 0. Let i be (-207)\/f + 3\/7. Let l = -25\/8 - i. Is 1 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let v = -6.27895 - -0.27895. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/44 + (-51)\/99)*-3. Let r(l) = -3*l + n + 0*l + 3*l + l. Let a(x) = 2*x + 3. What is -5*a(s) + 15*r(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 0*w**4 - 2*w**4 - 100496*w - 93*w**4 + 100493*w - 18*w**4 + (-w**4 + 5*w**4 - w**4)*(-1 + 2 - 2).\nAnswer: -113*w**4 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 27, 3, 1, 50 in descending order.\nAnswer: 50, 27, 11, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 17649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t + 1826 = -2944 - 1984 + 1174 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, 0, -1, -5, 4 in decreasing order.\nAnswer: 317, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*q + 2671*q - 617*q + 1418*q + 5605*q to the form w*q + f and give w.\nAnswer: 8987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880209.\nAnswer: 3, 11, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -2 + -8 + (4 - -17 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464574*y**3 + 1464564*y**3 - 2929141*y**3 - 3*y + 3*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764389, 1528773, 2293157, 3057541?\nAnswer: 3821925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-39)*d*d**2)\/(((d*d**31)\/d)\/(d**(-32)\/d)))**(1\/14) assuming d is positive.\nAnswer: d**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -842?\nAnswer: 14\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {y: 1, u: 9, d: 2, k: 1}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/18*9\/(-18))\/((-640)\/47616).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 5*p**3)*(5 - 5 + 1)*(-4*p + 5*p + p) + 7*p**4 - 2*p**4 - 2*p**4 as c*p**4 + h + r*p + t*p**2 + v*p**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13110100 - 203?\nAnswer: 13103231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30\/107, 0.4, -4, -0.25, 5 in ascending order.\nAnswer: -4, -2, -0.25, 30\/107, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxvvlllx. Give prob of sequence vxv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {h: 1, d: 3, l: 1, j: 1, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.36 (b) -0.01 (c) -1\/10 (d) 3 (e) -1\/5 (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3368*m + 2223*m - 416 = -11866 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 j when four letters picked without replacement from jejej.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 - 6. Suppose -3*v + m - 13 = 0, -5*m = -7 - 13. Give x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3080428187 != -3080428188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t - 7. Let n(v) = v + 1. Let i(g) = -215*g + 210. Let z be i(1). Calculate z*n(h) - m(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o - 1. Let v(r) = 4*r**2 + 12*r - 12. Let b be (-1 - 3 - -5)*(0 - 1). Let g(n) = b*v(n) + 5*u(n). Give g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 2*g + 829. Let w(n) = -488*n + 5. Determine w(r(v)).\nAnswer: -488*v**2 - 976*v - 404547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkkzzzkzkzz. What is prob of sequence zz?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 12 (b) 0 (c) -5 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Suppose 0 = c*a + b - 11, 0*a - 3*b - 23 = -5*a. Solve 11 + 5 = a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3028*g + 154450. Calculate p(51).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.94 + -0.06. Let h = 17 + -15. Which is the third smallest value? (a) 0 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 10. What is the tens digit of a(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/((-2926)\/1672). What is the closest to 3 in u, -5.88, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.69 - -0.11. Suppose 20*a - 15*a - 32 = -k, -k + 4 = a. Suppose -3*d + 13 = -x, -12*d + 9*d - 5*x = -a. Put 2\/9, r, d in descending order.\nAnswer: d, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from puuuuupuuupppppu.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4\/31 (c) 2 (d) -0.4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 15*q - 361. Suppose 2*n = -8 + 2. Does 14 divide 28*(n - q\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 14 = -4*s. Solve 0 = -5*z - s*q + 2 - 16, -5*z = 4*q + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let q = 1.4 - 1.7. Let i = 0.3542 - 0.3542. Which is the second smallest value? (a) i (b) 1\/6 (c) g (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8 = -2*b, -3*b - 26 = -2*i + 36 - 54 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h - h**3 + 2*h**3 - 3*h**3 - 51*h wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 - -0.49. Which is the nearest to v? (a) -5 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21370 (base 10) in base 6?\nAnswer: 242534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 3)**2 - sqrt(17))*-2 + (sqrt(17) - (-4*sqrt(833))**2) - (sqrt(102)*-2*-6 + sqrt(102))\/(sqrt(36)\/sqrt(54)).\nAnswer: -13380 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(2\/13)))\/v**(-3)*v**(-1\/2)*v\/(v**1\/v)*v assuming v is positive.\nAnswer: v**(121\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**0*r))**(4\/7))**(-50)*(r**(1\/4)\/(((r**(2\/15)\/r)\/r)\/r))**48 assuming r is positive.\nAnswer: r**(748\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(684).\nAnswer: 5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 919937062, 919937063, 919937064, 919937065?\n\"Answer: a + 919937061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2234 - 2228. Let v = -2620\/11 - -238. What is the third biggest value in s, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 + 5 = 0, -i - 9 = y. Let u = -10 - i. Solve 0 = 5*l - 5*k + 10 - 30, -5*l + k = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 - -201. Solve 4*p = 4*v + 32, -3 = 2*v + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(690\/45)*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -633*w + 683*w - 5514550. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - (-3 + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -100, -0.65, 12, -1420?\nAnswer: -1420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:13 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -9 - h**2 + 0*h - 2\/3*h**3. What is the second derivative of d(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -103. Suppose 147 = -v*m + 37*m. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26673105?\nAnswer: 3, 5, 73, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 55\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:52 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 133.218 times 0.3\nAnswer: 39.9654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -5*v + 4*v, 0 = -d + v. Let r = 32 + -17. Let f = r + d. What is the highest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from {i: 2, m: 4, b: 3, d: 4, a: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.147.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(210\/126*(-36)\/(-10))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 2*j**2 - j - 4. Suppose 3*d - 5*b = 13, d - 3*b = 2*d - 9. Let s be (-9)\/d*1*-2. Let p be y(s). Solve 5*r + n = -16, -5*r = 3*n + p*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, y: 1}. What is prob of picking 1 y and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**3 + 10 - 10.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4)*(1\/(-36) + (-432)\/1944).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 189?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -20, -43, -74, -113, -160?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 2*m - 5 - 13 - m**2. What is the remainder when 27 is divided by q(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f + 1\/12*f**4 + 2*f**2 + 0*f**3 + 0. Let h(l) be the second derivative of l**4\/6 - 3*l. Determine k(h(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521 + -519. Let f(l) = -2*l - 6. Let k be f(-9). What is the second derivative of -3*u - 3*u + u**q - 17*u**2 - k*u wrt u?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 0.23 (c) -35 (d) 0.7 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 7*w**6\/120 + w**5\/40 + 4*w + 5. Let a(n) be the first derivative of f(n). Solve a(o) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 - 2)\/(15\/10 - 0). Sort z, -5, -4.\nAnswer: z, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -20, -47, -84, -131, -188?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2773*s = 2624*s + 1351 - 308 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 4, a: 6}. Give prob of picking 2 a.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 128?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -10, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmommmmmoomommmmm. What is prob of sequence momm?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 54*b - 59 = -32 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 9*m - 16. Let h be w(-6). Let a(i) be the second derivative of i**5\/4 + i**3\/3 - 3*i**2\/2 - 2*i. What are the prime factors of a(h)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14388.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 8*r + 2. Let o be v(8). Suppose 3*b = -o*h + 95, -5*b = 3*h - 2*h - 170. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.7 - 52. Let c = n - -1.4. Let m = c - -0.8. Are -0.01 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-21 + (-1792)\/(-84)). Suppose -10\/3*o + b*o**2 + 0 = 0. Calculate o.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(21)\/(sqrt(21)\/sqrt(3)) + 1 + sqrt(75))**2 + 4 + sqrt(18)\/sqrt(24))*-1.\nAnswer: 125*sqrt(3)\/2 + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d2 (base 14) to base 11.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 2*w + 2. Let p(g) = g - 7. Let i be p(5). Let j be u(i). Let r = 2 + -1. Which is the closest to r? (a) j (b) 1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 161\/24735?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(528)*3*3)\/sqrt(12))\/(sqrt(4) + sqrt(576) + (sqrt(576) - (-1*sqrt(576) + sqrt(576))) + (sqrt(4) - sqrt(64)\/sqrt(4))).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 + 7*k. Let t(g) = -2*g**2 - 9*g**2 + 10*g**2. Let o(i) = -5*t(i) - z(i). What is the second derivative of o(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 4, i: 3, s: 2, b: 1, v: 1}. What is prob of picking 1 i and 1 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*o - 0*z - 4*z, -2*o = 5*z + 4. What is the smallest value in o, 1, 3, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17509 is divided by 344.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 26. Let l be g(-8). Solve -4*j + 2 = l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 - 4 = 0. Let k = -1 - o. What is the nearest to 2 in k, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 8 + 2*k + 3*k + 4*k**2 + k**2. Let r be a(6). Suppose 2*g - r*h - 18 = -0*g, 3*g + h - 43 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -2, 275, 2\/7, 4, 14\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - v = 11, -2*p - 3*p = -2*v + 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 2*a**3 - 2726*a**2 + 2763*a**2)*(-46*a + 61*a - 33*a + (-1 - 2 + 5)*(-2*a + a - a)).\nAnswer: 44*a**4 - 814*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46713342*f**5 - 8235167*f**2 - 3*f.\nAnswer: -2802800520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/109858 and -83\/4838.\nAnswer: 4504178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1762*l**3 + 125*l**2 - 4 wrt l.\nAnswer: 10572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*v = 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 41, 4, -93 in descending order.\nAnswer: 41, 4, 0, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 24*c**2 - 45*c - 146. Let s be i(-11). Solve 122*w + 45 = s*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 19*l + 70. Calculate the smallest common multiple of y(-3) and ((-12)\/10)\/(1\/(-5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llsillgappisl. What is prob of sequence pl?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 1049?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 280\/10*(-2)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 277?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(3\/7))*g**0*(g**(-2))**39 assuming g is positive.\nAnswer: g**(-543\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 20. Calculate u(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 25, -3*m + 26 = c + 9. Calculate the highest common divisor of 22 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + -9 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * -3.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18789 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-10))\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2933676956 + 0.14\nAnswer: -2933676955.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1196244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88761978523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -1 + 1)*-4)**2 - ((sqrt(17)*-2*6)**2 - ((sqrt(17) - (sqrt(17) - (sqrt(833) + (-1*sqrt(833) - sqrt(833)))**2)) + sqrt(17))).\nAnswer: sqrt(17) + 8177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 727, 2, 2018 in decreasing order.\nAnswer: 2018, 727, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/60*(-5)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*460\/69 + 1\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/24)\/((-15)\/6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 7) in base 12?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16 and -1.07438115491.\nAnswer: -17.07438115491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-14))\/((153\/(-18))\/(-17))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sywossosossy. What is prob of sequence sw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46a6110a - 5?\nAnswer: 46a61105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/2, -5, 2\/23, 2, -3508 in increasing order.\nAnswer: -3508, -5, -1\/2, 2\/23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260 and 2331.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 21 = -4*f, 2*f + 16 = -u - f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 218\/3. Let y = -10.4 + 14.4. What is the closest to 0.1 in y, x, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**3\/3 + 5*k**2 + 25*k - 2. Solve o(u) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*b + 4*b + 0*b - 2*b + (1 - 1 - b)*(-3 + 5 - 3))*(3 - 3 + 2*b)*(-98 + 193 - 78)*(-1 - 2 + 0) in the form g*b + f + q*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u - 12 = 0. Let z(j) = -2*j + 29. Let g be z(-31). Suppose -85*v = -g*v + 72. Calculate the highest common divisor of v and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 4*a - 31. Let y be m(-3). Solve -2*d = 6*d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 248 = -9*i + 4*f, -4*i + 3*f + 198 = 0. Which is bigger: 47 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3.7. Let t = 6 + 5. Let b = 11.5 - t. Sort b, h, 5 in decreasing order.\nAnswer: 5, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3000*h**2 + 2928*h**2 - 5932*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2190 - 937. List the prime factors of t.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**5 - y**3. Let v(w) = 2*w**5 + 14*w**3 + 6*w**2. Let j(k) = 5*f(k) + v(k). Suppose j(z) = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*h + 11, -1 - 16 = -2*m + 3*h. Let u be (3\/6)\/m - 0. Which is the closest to u? (a) 3 (b) 1\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2.6 (c) 0.3 (d) -1\/90 (e) 0.8 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 = 12. Let w = l - -18. What is the least common multiple of (-864)\/(-39) - 586\/3809 and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h + 6 = 3*k, -9 = 3*h. Suppose k*p + 3*o = 5*o - 188, -5*o = 4*p + 174. Let u = p + 54. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + v + 0 = 9, 3*h - v - 1 = 0. Is 4 - h*(-22)\/1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*i + 306, -4*d + 93 = -5*i - 165. Suppose 3*p + d + 484 = 0. Is -181 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4094, 16603, 37522, 66851, 104590, 150739, 205298?\n\"Answer: 4205*g**2 - 106*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2 - 40*t - 55. Let l be r(-21). Suppose 0 = 2*p - 4*y - l - 8022, 0 = y - 3. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9437853, 18875706, 28313559?\nAnswer: 37751412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 25 = 4*h, -5*a - 5 = -4*h + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.19*-94.58\nAnswer: -207.1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 11. Let p = -130 - 4. Calculate the remainder when 24 is divided by p\/(-10) + r\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 0 + 151412*b**2 - 2 + b**3 - 151424*b**2 + 4*b. Determine u(11).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 91*a**2 - 12*a**2 + 27*a**2.\nAnswer: 103*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 1*(-12)\/4. Let b be ((-9)\/27)\/(y\/(-54)). Solve 3*u + 12 = -4*p, -u + 2*p + b = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/18)\/2*(-27)\/12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - g - 2. Let f(r) = -r**3 + 12*r**2 - r + 6. Let h be f(12). Let a be i(h). Put -0.8, a, 1\/2 in descending order.\nAnswer: a, 1\/2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpfp when four letters picked without replacement from fdpfpm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*12\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20383 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 169 = -5*u, -3*x = -2*u - 6*x - 76. Let p = u - -26. Calculate the common denominator of (p\/(-270))\/((-4)\/402) and -17\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 1280.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13*n**(5\/2))**(-46) assuming n is positive.\nAnswer: n**(-713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 - -7?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 - 30*w**4 + 105*w**3 + 730*w**2 + 600*w = 0. Calculate w.\nAnswer: -6, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 10*d + 151. Determine r(0).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15020, 60063, 135134, 240233?\n\"Answer: 15014*y**2 + y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*j**3 + 2 - 23*j**3 - 4 - 27*j**3.\nAnswer: 8*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*5*sqrt(170))\/(4*sqrt(490) + sqrt(490)) + 0).\nAnswer: 30*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 5*s**2 - 10*s - 1. Give r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/(-8))\/((-6)\/16). Find the second derivative of -l**3 + u*l + 12*l + 12*l wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 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: Add together 4718816330 and 11.6.\nAnswer: 4718816341.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p + 6. Let m be x(-8). What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 11*i**2 + 11*i + 5. Let y be (-4 - -3)*(0 + -3). Suppose y*t - 3 = 27. What are the prime factors of j(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*y + 96*y + 1344 = 0. Solve -y*x + 10 = -23*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109003*x + 109056*x + 371 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25648 and 3552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (2 + 124 + -150).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3993) + (sqrt(3993)*1 - sqrt(3993)))*-4)\/(5*5*(sqrt(108)*2 - sqrt(108))).\nAnswer: -22*sqrt(11)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 divided by -329?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:31 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(-1 + 9). What is the greatest common divisor of d and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 24 = p, -42*h - 30*p + 41 + 51 = -32*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3394*v - 228730 + 194790 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11313109 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45214 and 968623.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 90. Let x be z(23). Round x to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:08 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*x**5 - 28*x**4 - 124*x**2 - 16*x**4 + 44*x**4 wrt x.\nAnswer: -4980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + 6 + -2 + -4 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17464827 is divided by 5201.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d - 14. Let j(w) = 14*w + 16. What is -3*j(i) - 4*u(i)?\nAnswer: 10*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 72 = -3*f, -5*f = -17010*o + 17008*o + 106 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 39 = 60. Suppose -a*o + 540 = 11*o. Solve 5*h = 22 - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/18 and -79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3244 divided by 3.\nAnswer: 3244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -103. Let f be ((-2)\/5)\/((-54)\/v). Let w be -16 - (2 - 2)*1. Which is the third biggest value? (a) w (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1907 divide 1181054146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 880.649ns?\nAnswer: 0.880649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168216105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/32 and 11\/4681964.\nAnswer: 37455712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 206 = -164 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 4 = 7*j. Suppose 2*u + 2*u - 9 = -3*v, 4*v - 12 = -j*u. Solve 0 = -u*f + f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*z + 14 = 6, 113*l + 4*z = 118*l + 16*z - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/360 + 37*r**4\/72 - 1369*r**3\/36 - 15*r**2 - r. Factor u(i).\nAnswer: -(i - 37)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-936)\/(-273)*1*14\/(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*b = -b - 25, 5*b + 25 = -f. What is the units digit of 14*(f - (-1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2246, 1112, -22, -1156?\n\"Answer: -1134*b + 3380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 1 + 1)*(-5 + 4 + 3) + (a - 2*a + 0*a)*(3 + 2 - 3) + 52*a + 42*a - 83*a + 2.\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 5 + 8 - (5 - 3 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.086 * -110205.\nAnswer: -9477.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n - 23*n + 33*n)*(67*n**2 - 135*n**2 + 65*n**2).\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*a + 59 - 332 = 0. What is the third smallest value in 2\/137, a, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 98?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + 13 + -989 + 980.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2404955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 1 = 5*i - 2*d, 3*i + 30 = 5*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*b + 346243 + 896967 = 0. What are the prime factors of b?\nAnswer: 2, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 14) to base 10\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 - 17*w + 33. Let k be i(6). What is the third smallest value in 2\/9, -1\/27, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000357643 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235685, -235564, -235455, -235364, -235297, -235260?\nAnswer: -235259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16635.25921 + -82.25601. Let q = b - 16572. Let i = q - -19. What is i rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -4, -3, -71.\nAnswer: -71, -4, -3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 656*k + 1303. What is g(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11223 - 11004. Calculate the remainder when 1540 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 4\/24 + 130\/(-60). Suppose -5*m = 34 - 9. Sort 5, m, h in increasing order.\nAnswer: m, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4372 or 4371?\nAnswer: 4371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 3\/13 (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1226046 and 405815694?\nAnswer: 405815694.1226046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = z + 4*t, 6 = -z + 4*t. Solve -2*y + z*m + 6 = 0, -1 + 0 = -2*y - 3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemmem. What is prob of picking 3 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let y = -0.77 + 1.27. Which is the smallest value? (a) -5 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 9*q**2 - 6*q - 15. Determine i(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1331 - -0.0731. What is the second smallest value in d, 1\/6, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*m**3 + 524*m**2 + 3*m**3 - 1043*m**2 + 521*m**2 + 13*m to the form a*m**3 + t + n*m**2 + j*m and give a.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -32. Suppose r - 3*i = -9, 0*r = r + 4*i - 19. Suppose 5*h = 3*h - r*d + 39, 2*d - 125 = -5*h. What is the remainder when h is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 4 - 4)*(-5*d**2 + 4*d**2 + 3*d**2)*(-3*d - 3*d + d) - d**4 - d**3 + d**3 to the form o*d**2 + l*d**4 + j + x*d**3 + i*d and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 3*g. Let i be 33\/12*(5 + -1). Suppose c + 0*o - i = -o, -5*o + 25 = 0. Is 21 a factor of w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1293975)\/486*34\/(-3).\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 + 329.29. Let o = -3.5 + h. Let j = o + 0.20996. What is j rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = m + 310, -2*w + 3*w + 1550 = -5*m. Let i = 144 + m. Which is smaller: i or -164?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-6 - -3) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606 + -1161\/2. Find the common denominator of 28\/95 and y.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24340237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9264*t - 9265*t = 10*v - 316, -2*t - 2 = -3*v + 102 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124865730 take away 1922?\nAnswer: -2124867652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3. Let m(r) = -3*r**3 - r**2 - 2*r - 1. Let i = 1 - -1. Let g(k) = i*x(k) - m(k). Let c = -1 + 0. What is g(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*4\/(-16))\/(-1)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38\/2607 - -2683\/5214. Factor y*a - 1\/8*a**2 - 3\/8.\nAnswer: -(a - 3)*(a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 250630 and 250382 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - o + 5 - 4*o + (0 + 5 - 3)*(4*o - 5*o + 0*o) as w + p*o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3 and -53\/3669.\nAnswer: 3669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 463 - 61581\/133. Let w = -395\/266 + b. Is -4 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-108)\/(-4 - -1)*10\/(-15). Suppose 0 = -5*x - 8*x + 13. Put p, x, 4 in descending order.\nAnswer: 4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 5:08 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*s + 80, 5*s - d = 2*s + 52. Let y be s + 1*(-6 - -3). What is the third derivative of -y*q**2 + 14*q**2 - 76*q**5 + 101*q**5 - 26*q**2 wrt q?\nAnswer: 1500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 14*m**3\/3 - 2. Let g(i) = -2*i. Determine g(q(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-15)\/24*(-12000)\/(-1250)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*v - v - 4, 2*v = q - 8. Find the third derivative of 0*d**3 + 0*d**2 + d**q + 3*d**3 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-181*i + 260*i + 281*i)*(2 - 2 + i) to a + x*i**2 + k*i and give x.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1133 + -7.47.\nAnswer: -1140.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -19*r - 16. Let u(k) = -20*k - 15. Let p(c) = -6*m(c) + 5*u(c). Let z be p(-1). Solve 5*l = -5*i + 5, 5*l + 3*i + i - z = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, -6\/11, 0 in decreasing order.\nAnswer: 10\/9, 0, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 3 + 5*i - 5*i - 5 + 2*i**3 - 2*i**4 in the form l*i**3 + s*i + h*i**2 + c*i**4 + x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201616149 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:17 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 61858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2661.4 to the nearest ten.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/((-17)\/(15096\/(-16))))\/(-3). Solve -31*s = -130 + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 187 = 326. Let d = 192 + x. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-16)\/(-864)*18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqxwquxqqqwqqqqxq. Give prob of picking 1 u, 1 w, and 1 v.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.9 + -6. Let x be ((-50)\/20)\/((-5)\/(-3)). Which is the second smallest value? (a) x (b) o (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z + 4*z - 5*z)*(2*z**2 - 6*z**2 + 3*z**2) in the form h + r*z**3 + m*z**2 + c*z and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -199, -798, -1797, -3196, -4995?\n\"Answer: -200*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 - 272.91. What is y rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.3434.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t - 635 = 0. Suppose -3*m - t = -5*l, 2*m - 4*m + 5*l = 93. Let i = 33 - m. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.42 + -0.12. Let q = -10 - -5. Let c = q + 5.1. Is c less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17671373, 17671382, 17671397, 17671418, 17671445, 17671478?\nAnswer: 17671517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.1055 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x**2 - 12*x - 7. Let f(u) = 5*u**2 + 4*u + 2. Suppose 11 = -3*g - y, -3*g + 2*y - 24 = -10. Let v(p) = g*h(p) - 11*f(p). Calculate v(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 22 (c) 1 (d) 7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 5*sqrt(77)*-3)\/(-1*sqrt(1100)).\nAnswer: -8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -177826.4.\nAnswer: 35565.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -554*i + 69331. Determine o(126).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1086*s + 1108*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 9*z**2 + 0*z**3 + 0*z - 1\/42*z**4 + 0 + 1\/210*z**5. Factor m(c).\nAnswer: 2*c*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 55*w - 489, -2*w + 8 = -546*o + 551*o for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:40 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1356287*i**3*t**3*w - 216*i**3*t**2 + 6*i**2*t**3*w - 2*i**2*t**2*w - 12*i**2 - 2*i*t**2 - 1486*w wrt t?\nAnswer: 8137722*i**3*w + 36*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/4 - 2*k**3\/3 + 3*k**2 + 5*k - 1. Is m(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 7:08 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**5 - 7*x**3 - 4*x**2 + 14?\nAnswer: 120*x**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -208*k + 201*k + 595. Calculate the remainder when 423 is divided by k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -9673 + 2753. Let x = r + 1224. List the prime factors of x.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - x**2 + 1. Let b be u(-1). Solve -b*z - 1 = 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14093*y**3 - 18313 wrt y?\nAnswer: 42279*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 23520 = 15*p. Is 37 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16a36d - -4c?\nAnswer: 16a3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-378))\/((-54)\/21)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2828 + -155543\/55. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**4 - 8156153*i**3 - 181164*i**2 + 170*i wrt i?\nAnswer: 120*i - 48936918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 6\/89, -0.2, -2\/3, 0.9?\nAnswer: 6\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/17301004 and 127\/160790.\nAnswer: 86505020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + n + 9 = 0, -6*i - 13 = -i - 3*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/8 + 9*s**2. Let c(h) be the second derivative of 0*h**3 + 0 + 8*h + 0*h**2 - 1\/12*h**4. Calculate k(c(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 1156*s**4 - 194046*s**3 - 2543968*s**2 - 8700832*s = 0.\nAnswer: -124, -7, 0, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17324 or -17329?\nAnswer: -17324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*p - 9 - 2, 4*p - 11 = -5*w. Let r(d) = 2*d**3 + d**2 - 3*d. Let v(n) be the first derivative of -n**2\/2 + 12. Determine w*r(k) + 4*v(k).\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfglgiligiggggfii. What is prob of sequence ggi?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78116 and 1180.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 + 3837*c**4 + 25*c**2 - 3*c - 8 wrt c?\nAnswer: -60*c**2 + 92088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5795581*m**2*s**3 + 74*m**2*s - 13320*m*s + s**2 - 1 wrt s.\nAnswer: -34773486*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -7.81 (b) -11 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22357319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*o + 5*x - 10*x, 5*x + 53 = 3*o. Calculate the highest common factor of 104 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175324200.\nAnswer: 2, 3, 5, 41, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 11*g - 300. Suppose 4*t = -3*u + g, u + u = t + 200. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 2*q + 2. Let u be a(3). Suppose 6 - 21 = -u*g. Let h(i) = 9*i + 2*i**2 - 4 + 0*i**3 - i**3 - 4*i. Determine h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 1.68.\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*b**4 - 26307*b**3 - 2679*b**2 - 2*b + 157 wrt b?\nAnswer: 648*b - 157842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2*k**(4\/5))**15)**12 assuming k is positive.\nAnswer: k**684","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70\/21*-1*(-9097)\/3308\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -59, -122, -185?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -259 - -382. What is the derivative of 21*g**3 + w*g**2 - 123*g**2 + 22 + 0*g**3 wrt g?\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420\/(-270) + (51 - 1)*(-11)\/(-99)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 4)*(-3*w - 5*w**3 + 3*w) to n + z*w**2 + b*w + o*w**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101888 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 12*f**2 - 4*f**3 - 24 + 6*f**3 to r*f + k + m*f**2 + y*f**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n + 27. Solve x = -3*x - 3*u + 23, 3*u = n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 - 11*f**2 - 4*f + 8. Let d(m) = 4*m**3 - 10*m**2 - 4*m + 8. Let a(y) = 6*d(y) - 5*x(y). What is the tens digit of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/6 - 0 - -1. Let u = -10.5 - -10.3. What is the third biggest value in 2\/9, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1675040 + -a?\nAnswer: -167504a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*y**3\/3 + 73*y**2\/3 - 155*y\/3 + 2.\nAnswer: (y - 1)*(y + 2)*(76*y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -89. What is the highest common divisor of t and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -2589225?\nAnswer: -2589224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*r**2 + 107*r**2 + 100*r**2 + 110*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-103)\/(-2) + 4\/(-8). Let g(i) = i**2 - 2*i - 1. Let m be g(-3). Suppose 0 = -5*a + m + 71. Calculate the highest common divisor of a and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - 3. Let t be (-65)\/(-7) + 4\/(-14). Let q = t - 4. Which is the third smallest value? (a) 0.1 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 315 and -0.15797909377.\nAnswer: 314.84202090623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0081306343 to five dps.\nAnswer: -0.00813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 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: Is 12198 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 161065946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**6 + 25583*t**5 - 2*t**2 - 4063*t wrt t?\nAnswer: -720*t**3 + 1534980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 47*n**2 + n - 1. Let r(d) = d**3 + 5*d**2 - 7*d - 5. Let o be r(-6). Let i = -25 - -41. Calculate the remainder when c(o) is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - p - 3, 12 = 4*g - p. Let z = 5 + -3. Is g at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x + 8*x + 136295 - 135615 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2873.598 - 2900.5979964. Let d = -0.48 + -26.52. Let f = d - z. What is f rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0*c**2 - 1 + c**2 - 2*c**2. Suppose 4*i - i - 4*w = -6, 2*i + 4 = w. Let x(d) = -7*d**2 + 3. Let z(y) = i*j(y) - x(y). Calculate z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - p**2 - 19*p + 2*p**2.\nAnswer: -11*p**2 - 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 3:30 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {i: 15, o: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 85 + 4*j + 83 + 123*j**3 + 56*j**3.\nAnswer: 179*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - b + 5, -2*w + 6*b - 1 = -3*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -880, -863, -844, -823, -800, -775?\n\"Answer: a**2 + 14*a - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808976 is divided by 291.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:03 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*y**5 + y**4 - 537*y**2 wrt y.\nAnswer: -22920*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(720) + -2 + (sqrt(720) - (sqrt(720) - -1*sqrt(720)))**2*6).\nAnswer: -12954 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-171 + 3)\/(-12) + 272\/(-18)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5420?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/3 + 619*o**4 - 199246*o**3 + 53949826*o**2\/3 - 35371287*o + 17586639 = 0.\nAnswer: 1, 189, 1477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.3, 23, -1\/12, 1072\/3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 25 = -10*l. Solve -g + l = 2*v, 0*g - g = -3*v + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g. Let s(d) = -8*d + 1. Let y(a) = 6*b(a) - 7*s(a). Calculate the remainder when 6 is divided by y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4648311848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q**2. Let f(s) be the third derivative of 11*s**4\/24 + 47*s**2. Give f(y(m)).\nAnswer: -110*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 15. Let a(b) = -4*b + 22. What is the tens digit of a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f = -37 + 37 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = -d - 3*g, 0 = g + 5. Let b = -10 - -2. Let i = 7.7 + b. What is the nearest to 1\/3 in 0.5, d, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 1403 + 683 + 719 - 9*o.\nAnswer: 14*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 268*(((-42)\/4)\/(770\/(-110)))\/(-6)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359715702 to the nearest integer?\nAnswer: 18966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**2. Let p(h) be the first derivative of 0*h**3 - 1\/12*h**4 + 7 - 7*h + 0*h**2. Let n(u) be the first derivative of p(u). What is f(n(r))?\nAnswer: 11*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95.09 - -91. Let i = j - 0.01. Let w = 6.1 + i. Put 3\/5, w, -5 in decreasing order.\nAnswer: w, 3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2453, -2452, -2451, -2450, -2449, -2448?\n\"Answer: m - 2454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -101. Solve -9*s + n = 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m - 3*g, 2*m - 6*m = -g - 12. Suppose 2*f = -5*k + 8, -m*k = -k - 3*f + 12. Solve 3*h = -2*z + 3*z + 7, z - 4*h + 11 = k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**2 + 0 + 0. Let s(v) = -8*v - 10971*v**2 + 8*v + 10970*v**2. Calculate x(s(p)).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -462790, -1851150, -4165082, -7404586, -11569662, -16660310, -22676530?\n\"Answer: -462786*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 21\/571?\nAnswer: 21\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11))**(-5\/17) assuming j is positive.\nAnswer: j**(-10\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 63*c + 27 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7801 and 83659.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17647 or -2\/3?\nAnswer: -17647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*o - 102 = -4*o, -3*b = -2*o - 74. Differentiate 22 - b + 4*j - 2*j with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-11)\/s)**(2\/25)\/(s**(-2\/31)*s**(-1\/4)) assuming s is positive.\nAnswer: s**(-301\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 11*y**2 - 10*y - 24. Calculate x(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, -337523 in ascending order.\nAnswer: -337523, -8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 597961912846 + 0.5\nAnswer: 597961912846.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -403691332 to the nearest one hundred thousand.\nAnswer: -403700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 288*v + 6. Let a be x(4). Suppose -3*m - 4*j = -2*m - 599, 2*m - 2*j = a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4530)\/(-27) + (-8)\/(-36). What is the highest common divisor of m and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/12)\/(10\/(-315)). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-18) - 8\/(-9). Let h be (-3 - r)\/(-4)*5. Solve 5*d = h*m + 10 + 5, 0 = 3*d + m + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, 437, 1699, 4121, 8081, 13957, 22127, 32969?\nAnswer: 46861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(8\/(-12))*(-4 - -2). Let s(w) = 26*w**2 + 14*w + 3. Let a(c) = 9*c**2 + 5*c + 1. Give p*s(l) - 17*a(l).\nAnswer: 3*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22337, 44588, 66839, 89090?\n\"Answer: 22251*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -14 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -425 (b) 0.3 (c) 571.9 (d) 0.4 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75906 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 5 (c) 0.3 (d) -0.2 (e) 2\/9 (f) 10 (g) -1616\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32363 is divided by 249.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j - 9. Let o be l(4). Suppose -f + 15 = -0*f + u, -o*u - 15 = -2*f. Let a be (-34)\/14 - f\/21. Let p(m) = -m**2 - 2*m - 3. What is p(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 1. Let r be z(0). Let a = 5 + -2. Let u(d) = a + r - 4 - 3*d**2. Let y(f) = -2*f**2. Calculate y(u(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*o + 2*b, b + 5 = 14*o - 9*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 14*u - 54. List the prime factors of f(-16).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27820888 to the nearest integer?\nAnswer: 5275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.4, 2.28, -2, 4\/43?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w - 22. Let p be s(7). Suppose p = 5*a - 3*a. Suppose -3*m - 2 = -m, -a*m = -4*d + 280003. Round d to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -6. Let y = 12 + -24. Let s be ((-10)\/(-18))\/(4\/y). What is the second smallest value in -2, v, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 26. Let q be z(-6). Find the third derivative of -235*y**2 + 106*y**2 + 91*y**2 - q*y**3 + y wrt y.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/2772 and 63\/1034.\nAnswer: 130284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2642 divided by 1321.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (2 - 1 - -1). Let w = 2335 - 2311. Solve -3*m + 5*p = w - 0, 2*p = -k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*9 - 2 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 69\/2 of a milligram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805390 is divided by 15486?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44413427.\nAnswer: 44413427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.128, 2\/13, -1, 0.67, 4\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 - 204. Solve -2*r**2 - 2\/3 + 2*r + 2\/3*r**t = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927644731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -4*a + 289. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 304121230?\nAnswer: -304121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-2115)\/765)\/(36\/27)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x - x**2 - 2*x**2 - 2*x**2 + 2*x**2 + (-x + x - 2*x)*(1 + x - 1) - 348 + 108*x**2 + 348.\nAnswer: 103*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 4 - -13)*(-4)\/(-10). Let 2\/3*x**4 + 3*x**b + 1\/3 + 7\/3*x**3 + 5\/3*x = 0. What is x?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5358980187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.092115 litres in millilitres?\nAnswer: 9092.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -16, -8, 0?\n\"Answer: 8*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021215 is divided by 510417?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59817 + -59816.9968259. What is f rounded to 5 dps?\nAnswer: 0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2648, -2660, -2680, -2708, -2744, -2788, -2840?\n\"Answer: -4*w**2 - 2644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 11. Suppose 2*k + 3*m + 7 + 2 = 0, k + 3*m = -p. Solve -b + 10 = b + 4*d, -k*d = 3*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*a + 3*v - 12, 0 = 7*a - 2*v + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -0.07\nAnswer: 2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*i + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -117*((-4)\/12 + 0). Let g = r - 119\/3. Let z = -63.7 + 64. Which is the third smallest value? (a) 0.1 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22326295, 22326287, 22326281, 22326283, 22326299?\nAnswer: 22326335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4254 and 1657482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -6.06. Let p = 9 + r. Which is the smallest value? (a) 2 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n*t**3*w**2 - 137*n*t**3 + 3*n*t**2*w**2 - 438*n*t**2*w + 2*n*w**2 - 106*t**3*w + 4*t**2*w**2 + t**2 - 2*t*w**2 wrt t.\nAnswer: -24*n*w**2 - 822*n - 636*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Suppose -m*k + 17 = 1. Solve 0*c - k = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 41, 42, 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, -60, 1317 in ascending order.\nAnswer: -60, -36, 4, 1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -44 + (2 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224944296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35438506 minus -0.1?\nAnswer: 35438506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-7) + 1 + ((-4814)\/203)\/(-83).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2304*b**2 - 3*b**2 - 233*b**2)*(-b + 3*b - b) in the form o + c*b + f*b**3 + x*b**2 and give f.\nAnswer: 2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 23*t + 168. Determine x(37).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p**2 - 4*p. Let g(x) = -7 + 0*x**3 + 2*x**2 + x**2 + 4*x**2 - 9*x + x**3. Let f be g(-8). Let s(r) = r**2 + r. What is f*h(u) + 4*s(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 3*n. Let w(d) be the second derivative of 1\/3*d**3 + 0*d**2 + 29*d + n + 1\/30*d**4. Factor w(v).\nAnswer: 2*v*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -427.876.\nAnswer: -429.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 370810044 a multiple of 4655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 w when three letters picked without replacement from {x: 1, w: 2, l: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 9*t - 2. Let f(h) = -5*h**2 + 26*h - 5. Let p(o) = 4*f(o) - 11*y(o). Calculate the remainder when p(4) is divided by -4*(30\/(-4) - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-1*40\/130.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-15)*(-1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*f - 44370, 7*a - 8*a = 3*f - 44412. What are the prime factors of a?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -9. Let p(y) = y + 11. Let t be p(h). Let l = 3 + -3. Solve -s + t*s + 10 = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = k - 185, 0 = -13*k + 10*k - 4*m + 555. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3457\/9 - 383. What is the closest to 2\/3 in -0.1, k, 2, 0.09?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:08 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(64))\/sqrt(4))\/(sqrt(32)\/sqrt(4)*-3).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.594 - 0.406. Which is the second smallest value? (a) 3\/7 (b) -2\/5 (c) -6 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 - -343) + (4 - 2\/2). Which is the third biggest value? (a) -2\/7 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 - -113. Solve -r*f = -0 - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*o*z**2 - 487051*o*z - 52294772*z**2 with respect to o.\nAnswer: -11*z**2 - 487051*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 1. Suppose -5*h + j - i = 0, 4*j - 2 = 2*h + 4. Let z = -334 + 338. Which is the biggest value? (a) 2\/3 (b) -2\/7 (c) z (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*s - 940, 332 = 2*s - 3*u - 54. What is the remainder when s\/(-4)*24\/(-30) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23241, 24741, 26237, 27729, 29217?\n\"Answer: -2*k**2 + 1506*k + 21737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/16 and 45\/146288.\nAnswer: 146288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150736*a*x**2 - 26*x**2 - 3*x + 100 wrt a.\nAnswer: 150736*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p*(p\/(p**6*p)*p*p)\/p)*p**(3\/7))\/(p*p\/(p\/(p**(1\/6)\/p)*p*p)*p*p\/p**(-1)*p)*(p**3\/(p\/p**(-2\/5)))\/(p**(2\/7))**3 assuming p is positive.\nAnswer: p**(1051\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:19 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (-2*sqrt(78)*-1*5)\/(6*sqrt(6)*-2*-5))**2.\nAnswer: sqrt(13)\/3 + 121\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/5)\/j)\/j**4)\/(j**1\/j)**(-2\/51) assuming j is positive.\nAnswer: j**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 13*d**2 - 16*d - 12. What are the prime factors of l(-11)?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/120 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 2, 9, 18, 29, 42, 57?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/15 + (-7)\/3. Let z be 13750\/u*192\/2. Round z to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23539 + 49622. List the prime factors of l.\nAnswer: 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*t - 8, 3*t + 7 = x - 2. Suppose -9 + x = u. Solve -u*s + 2*s = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 13*y**2 + 13*y + 12. Let w be m(14). Let i be w\/3 + (-6)\/(-9). Let f(h) = h**2 - 4*h - 5. Let o be f(5). Does i = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 1143*p**5\/20 - 1639*p**3\/3 - 5123*p**2. Find the first derivative of w(f) wrt f.\nAnswer: 6858*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.518627*4.\nAnswer: 26.074508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*4*2\/10. Let w = -7510 + 7520. Solve -f = -7*g + w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 - -313. Let k = u - -139. Suppose -2*a - k = -7*a. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*l + 1, -2*l = -2*f + l + 1. Let i(j) = 2*j**3 - 4*j**2 - 3*j**3 - 6*j + 6 + j + 9*j**f. Let u = 9 - 5. Calculate i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3519 = 4*a, -19*w + 4386 = 5*a - 16*w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -800 - -861. Let r(f) = -14*f + 26. Calculate the remainder when r(-11) is divided by i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z\/((z*z**(-5\/3)*z)\/z*z)))))\/z**(2\/11))\/(z**(-2)*z**8))**(-6\/5) assuming z is positive.\nAnswer: z**(386\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 8 + 8. Suppose 0 = 5*t + f - 15, -31 = -3*t - 0*f - 5*f. Suppose -t*d - 3*d + 25 = 0, 98 = r + w*d. What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8530 is divided by 1197.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1561511 by -6029.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -91. Solve 4*h + h = -d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7660 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: In base 13, what is 258b - 4?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6480 and -191\/100980.\nAnswer: 1211760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.01167 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 471640 and 300?\nAnswer: 7074600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -2*c + 5*f, 8*c + 5 = 4*f - 5*f - 27 - 64 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -46. What is the greatest common divisor of 272 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -168\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-578)\/(-595)*581*(-10)\/(-4). What is the greatest common divisor of 51 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 + 57*u + 15. Suppose 0 = -88*w + 90*w - 8. Let q(v) = -4*v. Let z(g) = w*q(g) - 4*f(g). Factor z(y).\nAnswer: -4*(y + 15)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**2*k - 201*d**2 - 17*d*k*m - 2*d*m + 173*k*m - 27*k - 2*m + 1 with respect to d.\nAnswer: 16*d*k - 402*d - 17*k*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 132, 0 in increasing order.\nAnswer: 0, 2, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88007021 - 3?\nAnswer: -88007024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 47. Let g(a) = 3*a + 65. Is g(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 1406, 3150, 5592, 8732?\nAnswer: 12570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9508 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 445 = -1605. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 356*y - 13983. Calculate c(-59).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 248, 247, 246, 245, 244?\n\"Answer: -t + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 28. Which is the nearest to -0.2? (a) -3 (b) -4\/7 (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -4*n**2 + 0 + 0*n + 1\/6*n**4 + 1\/84*n**8 + 0*n**5 + 0*n**3 + 0*n**7 + 0*n**6. What is the second derivative of u(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**3 + 9*b + 9. Let q(p) = -7*p**3 - p**2 + 8*p + 9. Let v(k) = 6*i(k) - 7*q(k). Let n be v(-7). Put 3, -4, 0, n in descending order.\nAnswer: n, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + 0.36000035. What is x rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.295696 + -0.245212?\nAnswer: 3.050484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*u**2 - 1070*u**2 + 356*u**2 + 356*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 399, 406, 413?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.69891t in grams?\nAnswer: 4698910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Suppose -d*x = -0*x - 80. Find the third derivative of -3*g**2 + 20*g - x*g + 12*g**3 wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-6 + (-5 - 17) - -9).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*l + 21483 - 1228 + 1025 = 0 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*t - 0*t. What is the remainder when t\/21 - (-1042)\/14 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 - 286 = 0. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132100 by 4.\nAnswer: 33025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 181545a?\nAnswer: -1815458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -2893, -6503, -11557?\nAnswer: -18055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 39 = -50*s + 47*s, 0 = -5*r - 5*s - 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 43008.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4*(5 - 12)\/1946)\/(8\/4). Which is the second biggest value? (a) 0.7 (b) -3 (c) 0.4 (d) 1 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**3 + 7*j**2 + 21*j + 24. What is x(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.267*0.29.\nAnswer: 0.07743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59464.2 minutes to nanoseconds.\nAnswer: 3567852000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 48, -6, 5, 1 in ascending order.\nAnswer: -28, -6, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.567 * -0.033164.\nAnswer: 0.051967988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 1143125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8*k + 216. Suppose -3*l + 6*l = -4*r + k, -5*l + 60 = 5*r. Solve 6 - l = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 6*u - 17. Let h be v(5). Suppose -9*s - 2399 = -h*g - 4*s, 3*s = 2*g - 1601. What are the prime factors of g?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/210 + i**5\/15 + 5*i**4\/14 + 6*i**3\/7 - 79*i**2. Factor b(v).\nAnswer: 4*(v + 1)*(v + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 14 + 36 = 2*j, 0 = 4*j + 3*q - 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 + 334 = 3*o. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 5:55 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 597108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096 (base 10) in base 13?\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3 = a, 0 = 2*a - 329*l + 334*l - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*sqrt(1584)*-3 + sqrt(1584) + 3 + sqrt(1584) + 1 + sqrt(1584) - (0 + sqrt(4400) - (-2 + 5*(sqrt(33)\/sqrt(3))**2))).\nAnswer: -984*sqrt(11) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**2 + 8*f - 14. Let t be n(-6). Is t at most 549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0 (base 13) to base 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - (-2 + 4)) + -1236 + 1220?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.03 + 25.03. What is the biggest value in 15, 0.4, -1, o?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 159.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 178 = -2*w, 2*w = 2*p - 3*p + 52. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -67)*8\/6. Let s = o + 104. Calculate the highest common factor of 15 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*u - 6 = -0*u, -5*z = 2*u + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 12*i + 3*k + 122371 = 0, i + k - 30598 = 0. What are the prime factors of i?\nAnswer: 5, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(1*sqrt(7) - sqrt(7))**2 + 5*(-1 + sqrt(7))).\nAnswer: -25 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 29 - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -1, 1 in descending order.\nAnswer: 20, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2584223, 5168442, 7752659, 10336874, 12921087?\nAnswer: 15505298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -4 (c) 0.045 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 29. Let b(d) = -2*d - 218. Calculate b(t) - 5*f(t).\nAnswer: 3*t - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/19 - -23\/95. Let u = 13\/198 - 721\/4950. What is the biggest value in 3, u, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 7. Give k(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-50)\/(-52) - 1). Let p(b) = b**2 + 1. Let a be p(2). Suppose -3*l = -3*m + 5*m - a, 5 = m - l. Solve -m*j + s - 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4119536 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.0531, 2\/7, -4, 2 in descending order.\nAnswer: 2, 4\/7, 2\/7, 0.0531, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1381188516177?\nAnswer: -1381188516175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 326 + 103. What is the remainder when 146 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t**2 + 3*t + 1. Let l be b(-2). What is the remainder when 560\/l + (-2)\/11 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j - 1. Let h(x) be the first derivative of 155*x**3\/3 - 16*x - 155. Let n(y) = -4*b(y) + h(y). What is the second derivative of n(w) wrt w?\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4)**8 assuming h is positive.\nAnswer: h**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(32) - (-4 + -5*sqrt(3)))**2 + ((sqrt(180) - sqrt(180)*-2)\/sqrt(6))\/(sqrt(50)\/(sqrt(25)\/sqrt(5)) + sqrt(10)).\nAnswer: 91*sqrt(3)\/2 + 427\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/5)*(a**10*a)\/a*a*a assuming a is positive.\nAnswer: a**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*r - 8 = -r, r + 8 = b. Let i(s) = -s**2 + 3*s - 4. Let d be i(4). Is (-1158)\/d + 2\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -47*l. Suppose l = -a - n + 2*n + 4, 0 = 2*n - 2. Sort -1, a, -5, -3 in descending order.\nAnswer: a, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 114, 4, 1, -3.2 in increasing order.\nAnswer: -5, -3.2, 1, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 8. Suppose 70*f - 126 - 14 = 0. Solve -v*s + l = 4, -2 + 4 = -f*s - l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -58. Suppose -o*s = -31*s + 246. Suppose p - 3*a - s = 0, 3*p - 2*a = -7*a + 179. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 23)*((-2*c**2 - 2 + 2)*(c - 5*c + 3*c) + 4*c**3 + c**3 - 6*c**3) in the form p*c**3 + m + l*c + o*c**2 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 125497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4 + 1 - 6*k - 459183*k**2 + 4. Let l be x(7). What is l rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1703240, -3405727, -5108200, -6810653, -8513080?\nAnswer: -10215475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -54*c + 9372. Let g(o) = 55*o. Determine -g(i) - l(i).\nAnswer: -i - 9372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/2 + 15*u**2\/2 - 8*u = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 678*g**5*r**3 + g**5*r**2 - 5*g**2*r**3 - 2*g wrt g.\nAnswer: 40680*g**2*r**3 + 60*g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91216 - 91141. Let x = -32 - -62. What is the greatest common divisor of h and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 43. Let z(c) = -c**3 - 12*c**2 + 11*c - 10. Let m be z(-13). Let w be q(m). Solve -w*r + g + 7 = -g, 3*g + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4858 and -4864 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 289\/(-119) - (-3)\/7. Is y\/(-11) + (-2760)\/(-66) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**3\/u)))*u)**(-5\/6)\/((u\/(u*(u\/(u\/(u\/((u**4\/u)\/u))))\/u))\/(u**9\/u)) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, h: 2, d: 4}. Give prob of picking 1 p and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/3 + 38*w**3\/3 - 12*w**2 - 38*w\/3 + 37\/3 = 0.\nAnswer: -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -692343075*d*x + 176182312*x with respect to d.\nAnswer: -692343075*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)\/(x\/(x*(x*x**(-35)*x)\/x)))\/(x*x*(x*(x*x*x**(-2\/47))\/x)\/x)**(-3\/5) assuming x is positive.\nAnswer: x**(-10628\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19926.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.638 - -0.6378542. What is m rounded to six dps?\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/2*(-14)\/4. Suppose 3*y - s = y. Suppose 5*l - y = -12. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 35 + 9*f**3 - 11 - 11*f**3 + 3*f**3.\nAnswer: 2*f**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**3\/6 - 53*q**2 - 5618*q + 385. Determine f so that r(f) = 0.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712 divided by 57.\nAnswer: 712\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 6*i)*(-2*i**2 + 2*i**2 + i**2) - 1294*i**2 + 1294*i**2 - 113*i**3.\nAnswer: -109*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 61, 5099, 4 in decreasing order.\nAnswer: 5099, 61, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q, -3*q + 13934 = -4*j - 6*q. Is (1 + 0)*(11 - j) 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 23747, 23584, 23421, 23258?\n\"Answer: -163*n + 23910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37b (base 13) to base 5\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-105)\/20*1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -295*g - 2492. What are the prime factors of p(-57)?\nAnswer: 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1682020440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 3 (b) 10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:14 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -74 (b) -2\/43 (c) -20\/47 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g + 2. Let w = g - 1. Let t = 7 - 4. Calculate the lowest common multiple of t and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/7 + 19989*r**2\/7 - 5725512*r\/7 - 11530956\/7 = 0?\nAnswer: -6938, -2, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/(-9) + 97 + -80.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 40010794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 58. Let k be 1091\/(-9) + (-8)\/(-36). Let t = h - k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/3 + 1384*p\/3 - 189006 = 0 for p.\nAnswer: -981, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/67, -4, 0.01, 25, -15\/7 in decreasing order.\nAnswer: 25, 0.01, -3\/67, -15\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 + 226609*g**3\/3 - 51351638881*g**2\/6.\nAnswer: -g**2*(g - 226609)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80998, 161991, 242978, 323959?\n\"Answer: -3*v**2 + 81002*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l + 15*l**2 + 22*l**2 - 52*l - 34*l**2 to the form g*l**2 + h*l + d and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/550*(-44)\/7)\/(4\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9602*o**2 - 1. Let v be s(1). Let j be 6\/4 - v\/(-2). What is j rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 - 3*z**2 + 4*z + 2. Let u be (2 + 8)\/(3 + -5). What is the units digit of i(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4 - 4*f**3*y + 5*f**3 + 60*f**2*y + 2*f*y + 14 wrt f.\nAnswer: -120*f - 24*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40109670 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218211971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + ((sqrt(132)\/sqrt(6))\/sqrt(2))**2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -55. Suppose -3*l + 20 = -2*l - 2*k, 0 = -z*l + 4*k + 60. Calculate the remainder when 97 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25448 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/13, -574, -0.5, 24, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 19 (c) -1\/7 (d) -0.2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose -z*x = -0*x - 81. Suppose 5*b - 28 - x = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2, 6*j - 32 = 4*j - 2*b. Solve -2*a = a + j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*h - 2857 = -0*d, -3*h + 955 = d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0.871, -0.1?\nAnswer: 0.871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1390*d + 230*d**2 - 695*d - 697*d - 117.\nAnswer: 230*d**2 - 2*d - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -3925390.13?\nAnswer: -3925390.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/7 - 72*p**3\/7 - 878*p**2\/7 - 2880*p\/7 - 2075\/7 = 0 for p.\nAnswer: -5, -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1002479973 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (3 - 5))\/(3\/(-81)). Let q = n + 63. Solve -4*d - q = -5*w, 3*d = -4*w + w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 10) in base 9?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2052, -119, -22.\nAnswer: -119, -22, 2052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1b?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1 - 4. Suppose r*v - 13 - 2 = 0. Let n = v - -5. What is the smallest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r = -11 - 268 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -43.976212 times 5\nAnswer: -219.88106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - 0.1. Let s be 2\/(-3)*3\/(-5). Sort s, b, -0.4 in ascending order.\nAnswer: b, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/421036 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 6*h + 8. Let v be p(2). Solve -3*o + v = -j, -3*j - 17 = -5*o + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxzx when four letters picked without replacement from {f: 4, k: 4, h: 1, z: 1, u: 2, x: 6}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -183*h - 12. Determine b(-1).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 519.\nAnswer: -77.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717144271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1898, -3\/5, -1\/5, 0.039?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 387, 891, 1603, 2523, 3651, 4987?\nAnswer: 6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/5 + 7\/15. Which is the closest to -2.4? (a) 0.2 (b) -1 (c) y (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418953 divided by -39.\nAnswer: 139651\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8.3. Let n = o + -1.7. What is the closest to -1 in n, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -116471.9\nAnswer: 3494.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/20*l**5 + 3*l**2 - 7*l + 13\/6*l**3 - 11\/12*l**4 + 0. What are the prime factors of i(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**10\/q*q)\/q**(-2\/11))**(-7) assuming q is positive.\nAnswer: q**(-784\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1592361967 and 9778.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 12 = 5*j. Let x be j\/((-32)\/20)*2*-1. Solve 1 = -x*v - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2\/3, -4, 8\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38990, 155952, 350900, 623846, 974802, 1403780, 1910792, 2495850?\nAnswer: 3158966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/3, 0.5, -3\/2, 1\/9189, -4\/3, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32951160)\/(-297))\/((-2)\/(-30)). What is t rounded to the nearest 10000?\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2691972 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-23076)\/(-641)*12\/16\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + 21. Let v(l) be the second derivative of l**4\/12 + 3*l - 2. Calculate v(h(u)).\nAnswer: 9*u**4 - 126*u**2 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - i = -84. Suppose 4*d - 20 + i = 0. Let j(y) = -4*y. Give j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 3*o**2 + 93791*o**3 - 93788*o**3 - 4 + 2*o**4 to r*o**2 + x*o**4 + f + y*o + u*o**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1049276 and 3324.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -5. Let n = 61 - 40. Let l be 8\/21*n\/(-14). Which is the closest to -0.1? (a) h (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/30 + 4*q**5\/5 - 55*q**4\/8 + 175*q**3\/6 + 344*q**2. Factor j(w).\nAnswer: -(w - 7)*(2*w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 580*z + 80 - 315*z - 36*z**2 - 263*z in the form c*z**2 + d + l*z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 96*d**2 + 144 + 6 - 90*d**2.\nAnswer: 6*d**2 + 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 18*c**2 - 2*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 521478 and 2403756?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1909*o**5 - 2089*o**2 wrt o?\nAnswer: -114540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16632)\/882*((-1267)\/(-905))\/(4\/(-10))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t - 32*t + 20*t. Let o(w) be the first derivative of 12*w**3 - 3. Calculate y(o(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108627 + 11?\nAnswer: -108616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -1\/3*p**3 - 4 - 1\/2*p**4 + 12*p + 2*p**2. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4638 and -6062.\nAnswer: 2811.5556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 337*g - 119*g.\nAnswer: -445*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9309.\nAnswer: 3, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 0.3, -0.053, 1237\/7.\nAnswer: -0.053, 0.2, 0.3, 2, 1237\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/6 - 29*m**2\/2 + 117*m. Let k(s) be the third derivative of -s**5\/30 + 8*s**2. What is y(k(c))?\nAnswer: -2*c**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:55 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b**2 - 28*b**2 + 145*b**2.\nAnswer: 220*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 36. What is the least common multiple of 30 and a(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - 7*r**2\/2 - r + 1. Let m(z) = -z - 1. Let a = 88 + -95. Let k be m(a). Give c(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiotiioooooit. What is prob of picking 3 t and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v - 343 - 141 - 101*v + 3*v - 4*v**2.\nAnswer: -4*(v + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 + 90232*b**3 + 11*b - 4092?\nAnswer: -24*b**2 + 541392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - (-2)\/3. Find the common denominator of ((-1)\/(q\/25))\/(-6) and (9350\/132)\/85 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g)**(-37))**(-5\/6) assuming g is positive.\nAnswer: g**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*c - 187 - 95 = 0, 2*z = 4*c + 100. Let t = z + -15. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -23.3. Is 0 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/v*v*v**(3\/7)*(v**(2\/3))**(-8) assuming v is positive.\nAnswer: v**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1446 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11111111101011111111?\nAnswer: 11111111101100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 16*w**2 + 15*w - 2. Give v(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*x - 20, 4*x + 13 = -i + 38. Suppose -5*r + 1195 = i*n, 0 = -4*r - 2*n + 5*n + 977. Calculate the smallest common multiple of r and 2.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 293 + -292.603. Let n = v - -0.003. Sort 2\/7, -2, 5, n in decreasing order.\nAnswer: 5, n, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 434*m**3 + 29*m**2\/2 + 20*m. Let h(y) = -651*y - 7. Let n(k) = -9*h(k) - 2*z(k). Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - p**2 + 8*p + 11. What is a(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**2 + 23*h**2 - 20*h**3 + 21*h**3 - 4 - 16*h. Let l be o(-16). Let n(u) = 3*u**2 - u - 8. What is the units digit of n(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1468 = 10*h + 1458, 2*h = 5*s - 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/443580 and -119\/8516736?\nAnswer: 42583680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or -2850?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 435 + -285. Suppose 3*f = 5*w + 155 + 108, 2*f + 3*w - o = 0. What is the greatest common factor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2291393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-2))\/((-2)\/(-8)). Let w = -32\/5 + 6. Sort 4\/3, 0, w, r in decreasing order.\nAnswer: r, 4\/3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18*s**2 + 59*s**2 - 23*s**2. Let t(c) = -c - 6. Let n be t(-6). Let a(w) = 0*w - 2*w + n*w. Determine f(a(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -903690, -903632, -903574, -903516?\nAnswer: -903458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**7\/2520 - 7*t**4\/2 + 2*t - 69. Let f(r) be the third derivative of l(r). Let u(s) = s + 7. What is f(u(o))?\nAnswer: -o**2 - 14*o - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n - 5*n**2 - 13*n - 15*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Suppose 0*b - p*o = -5*b + 38, -3*b + 27 = -o. Let k = b + 6. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3013 - -9322. Suppose -t = -10*s + 7361. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449482113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z**2 - 5*z**3 + 3*z**3 + 27*z - 71*z + z**3 + 3. Let s be m(-21). Suppose p - 2*o - 230 - 429 = 0, -4*p + s = 3*o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*h = -l + 88, -2*l = -5*h - 53. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 1. Let v be b(3). Suppose -c = -59 - v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322 + 745*c**2 + 2*c - 485*c**3 - 5*c + 487*c**3 - 323 + 811*c**2 to z*c**2 + d*c + p*c**3 + l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 453722325 and 402.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*q - 4)*(0 + 2 + 0)*(3 + 15 + 24)*(11 + 3 - 1).\nAnswer: 2184*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821 is divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/12 - 2*r**3\/3 + 5*r**2. Let w be a(-3). Is 502\/22 - w\/55 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34337918?\nAnswer: 2, 47, 365297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69191145 divided by -1537581\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 136*d**3 + 5*d**2 + 5*d + 4. Let z(a) = -68*a**3 - 2*a**2 - 2*a - 2. Let q(b) = -3*c(b) - 7*z(b). What is the tens digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7959 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 2, p: 4, r: 3, o: 2, c: 2}. What is prob of picking 2 v, 1 o, and 1 k?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 8*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8900)\/890*5\/2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/((-2)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-114))\/((-1668)\/(-496508))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*p - 102, -10*p - 5*m + 190 = -5*p. Suppose 2*a - 57 = -3*u, -2*a + 23 = u - 28. Calculate the greatest common factor of a and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 - 4)*(-6 + 6 + 4)*(0*a**2 + 0*a**2 - 2*a**5).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4329?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + 14. Suppose -3*j = -a - 17. Let g be (-891)\/j - (-3)\/(-5). Round g to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (52 + 9) - -8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3141*i**2*k**2 - i**2*k - 2*i**2 - 128*i*k**2 - 3*i*k + 385*i + 25*k**2 + 1577*k + 1 wrt k?\nAnswer: 6282*i**2 - 256*i + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28\/757 - 95971\/4542. Calculate the common denominator of -151\/66 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073431400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 909262486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3401918 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -29*q - 7. Let n be (-40)\/q - 5*2\/(-35). Suppose -n*t = -2*t - 508. What are the prime factors of t?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 5:54 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 84*z**2 + 25*z**2 - 4*z - 9*z**2 + 425.\nAnswer: 107*z**2 - 4*z + 425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 10*m + 14. Let i be p(-11). Solve 5*f + i - 28 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*4*1*sqrt(2736)*1*5)**2*3.\nAnswer: 29548802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -158247, -158248, -158249, -158250?\n\"Answer: -s - 158246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(5 - (-518)\/(-105))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 35916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooyyoyooo. What is prob of picking 3 o and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*0.18\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77 + 1275c?\nAnswer: 127d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1521, 7584, 20541, 42726, 76473?\n\"Answer: 389*b**3 + 1113*b**2 + b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 19*s = 72 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 4, -1, -5, -17, 5 in decreasing order.\nAnswer: 30, 5, 4, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50911 - 78744 - 11334 + g**2 + 3*g - 3*g.\nAnswer: g**2 - 140989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m**3 + 12 + 29 - 36)*(-1 - m**2 + 1).\nAnswer: 3*m**5 - 3*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*x**3 - 26*x**2 + 2*x - 3026 wrt x.\nAnswer: 186*x - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 127*m**3 + 57*m**3 + 2 + 42*m**3 + 29*m**3 - 2*m. Let k be 6*-1*1 - -2. Give g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-357))\/(-14*(-104)\/(-192374)) + (-28)\/16.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*z = -12. Suppose 3*n - 6*n = 5*c + 162015, c = -4*n - 216003. Let x be ((-1100)\/(-3))\/(z\/n). What is x rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p*z - 60285*p - 569*z wrt z?\nAnswer: -p - 569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1055*d + 370297. Determine j(-351).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from jijiijjjjjjjijij.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2640.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111121161 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99, -186, -273, -360, -447?\n\"Answer: -87*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*w + 2*w**3 - 125438*w**2 + 125484*w**2 + 581*w.\nAnswer: 2*w**3 + 46*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n, 0 = -2*q + 3*n - 6 + 8. Suppose 3*w - 40 = 2*w. Let r be (12\/w)\/((-6)\/5). Which is the nearest to r? (a) 3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 21*s**2. Let i(p) = 5295447*p. What is i(y(h))?\nAnswer: 111204387*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -159, -241, -329, -429, -547?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/59944 and 83\/10160.\nAnswer: 599440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 99. Suppose c*x = -5*t - 2*x + 1635016, -5*x + 981020 = 3*t. Round t to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -51. Suppose -b + t*r + 20 = 0, -4*b + 3*r = -7*b. Solve 0 = b*j - 2*p - 3, 4*j = j + p + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 37 - (1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -281 and 6.\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*m + 56*m - 812. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 - -2) + 3 + (0 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvggvjvvvgvvvvvvgv. What is prob of picking 1 g and 1 v?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 1. Let s(b) = b**2 - 4*b - 1. Determine 5*h(p) + s(p).\nAnswer: p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d - 84. Calculate the remainder when n(16) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2669*w**2 - 102*w + 16. Let g(j) = -26*j. Calculate g(h(v)).\nAnswer: 69394*v**2 + 2652*v - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-31)\/(5890\/(-35)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 30. Suppose -5*x = 0, 3*f + 5*x - 88 = 8. Is h smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19664 by 2.\nAnswer: -9832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*a + 4*x, 0 = 290*a - 287*a - 3*x - 39 + 6 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -23*x. Let u(f) = -29863*f. Determine u(z(q)).\nAnswer: 686849*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101631233 + 101631306.599233. Let m = -73.6 + d. Round m to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - -9. Let b = -33 + f. What is the nearest to b in -2, 2\/15, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-511 + 1747 + 2299 - 680 + 1672)*(-12*o - 18*o + 22*o) to the form h*o + j and give h.\nAnswer: -36216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-4)\/3 - -1). Let w(n) = 3*n**2 + 2 + 2*n - 3*n**2 + 2*n**2. List the prime factors of w(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 2*z**2. Let u(t) = -2*t**3 + 43*t**2 + 10*t - 4. Let d(l) = 3*p(l) - u(l). What is the second derivative of d(h) wrt h?\nAnswer: -6*h - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4) + 3\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.0467 grams to milligrams.\nAnswer: 64046.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-8)*2\/1. Suppose 0 = y*u - 0*q - 3*q - 32, -5*q = -2*u + 9. Suppose 3*a - 101 = 88. Calculate the highest common divisor of u and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12740294 is divided by 11753.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pelbooeoloe. Give prob of picking 1 b and 2 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/77*7*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*j - 26, 6*m + 18 = 3*j - 12*m + 14*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 7, 5 in decreasing order.\nAnswer: 7, 5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 - d + 7. Let o be l(3). Does 16 divide 571\/o + 50\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-81)\/(-6)*(-135)\/405?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6 - u**2 + 6 - 5 wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4 - 360*p**3 + 3008*p**2 - 7512*p + 4860 = 0?\nAnswer: 1, 3, 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -24. What is the remainder when (-495)\/(-20) - (-3)\/o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/4 + 18\/(-36). Suppose 0 = c + 3 - 0, -5*f + g*c + 37 = 0. Suppose 4*h - 220 = -f*a - h, -5*a = h - 232. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.798 times -29.986\nAnswer: 23.928828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*c + 5*w - 10*w, -3 = 2*c - 3*w. Let p be 1 + 7 + -3 + c. Is 5 a factor of (p - 8)*25\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 307 = 6*w + j, 5*w + 4*j - 772 = 0. Suppose 7*v - 5*r = 4*v + w, v - 3*r - 52 = 0. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + w. What is u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, 10, 0.1, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59374?\nAnswer: 2, 7, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cybnxix. Give prob of sequence xxc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g + 0*g + 6*g + 0*g. Let c(d) = d**2 + 9*d**2 - 4*d**2 - 7*d**2. Give c(i(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10*y + 2*c = 200, -5*c - 186 = -4*y. Let d = 851 + -365. What is the remainder when d is divided by y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14896.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -7*y**2\/2 - 4. Let a(t) be the third derivative of t**4\/24 - 4*t**2. Give q(a(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 3*h**2)*(2*h - 4 + 0*h - h) to the form d*h**2 + w*h**3 + a + j*h and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnni when four letters picked without replacement from nxxxbnxbinbxxb?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 223*m + 6737. Calculate v(187).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 2 + r**3 - 3*r**2 + 78*r + 4*r**2 - 3*r**3 to the form h*r**3 + d*r + b + g*r**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413 + -405. Solve 3*g + 1 + u = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -15, -4*t = 2*h - 9 + 37. Let j be (-3 - h)\/((-4)\/(-44)). Suppose -5*p + 1 = -2*d + 5*d, 3*d - 5*p = j. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 5, 13, -0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**2 - 291*f + 305. Let h be u(16). Sort h, -18, -2, 92 in descending order.\nAnswer: 92, h, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkjr when four letters picked without replacement from {n: 2, j: 4, r: 4, k: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + z - 2 = l, -l - 4*z + 7 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59023 - -59163. Suppose -l - 3*d = 2*d - 230, 4*d = -l + 233. Calculate the greatest common divisor of t and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258477 + -168058. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 6:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 12 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, j: 9}. Give prob of picking 3 j.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2895001 greater than -2895002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2277804)\/(-26) + 89\/(-13) + 7. Suppose 2*a + 473326 = 154710. Let j = g + a. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - -121. Suppose q + 122 = 4*k, -4*q + 1 + c = 5*k. Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 - 24?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 10*n - 6840. Let m = -342 + n. Does 14 divide -2*m\/(-4) - 9\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-5178)\/81 + -1). Let o = -195 + w. Let s be (-7)\/(-49) + 180\/(-35). What is the nearest to 0.13 in 1\/8, o, s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 7*c - 19. Let p(z) = z**2 + z + 1. Let y(r) = o(r) - 5*p(r). Give y(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 19.85. Let z = -0.13 - t. Let j = z - -0.08. Which is the third smallest value? (a) j (b) 4\/7 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**7\/1260 - i**6\/180 - i**5\/60 + i**4\/24 + 4*i**2. Let w(x) be the second derivative of r(x). Factor w(j).\nAnswer: -2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = 5*s - 26, 4 = i. Suppose b - 2 + 3 = 2*k, -4*b = -12. Let c be (-4)\/3*(-3)\/k. Solve -c*h - 8 = s, 2*u + 3*h = -23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(2\/5)*d*d)**(-6\/7))**38)**(-6) assuming d is positive.\nAnswer: d**(24624\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 7\/4, -33, 0.3, -17 in decreasing order.\nAnswer: 3, 7\/4, 0.3, -4, -17, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(288) + 1 + sqrt(288) + -5)**2*-1 + 4 + 0.\nAnswer: -1169 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q + q**3 - 6 + 6 in the form v*q**2 + z + k*q + t*q**3 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/5 (b) -245.5 (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501323791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 245*h**2 + 10*h - 5628. Determine c(-82).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 4. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13150 + -13145. Put 16, k, -5, 8 in decreasing order.\nAnswer: 16, 8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:53 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -7, -5, 24\/11 in increasing order.\nAnswer: -7, -5, 0, 24\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 3*p**2 + 0*p**2)*(1 - 241*p**2 + 2396*p**2 - 195*p**2).\nAnswer: -5880*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2121 - 5*n - 2141 + 15*n**3 - 3*n**2 + 3*n**2 + 10*n**3 as a*n**3 + s*n**2 + d*n + q and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = 0. Let k = u - 0. Suppose k = 2*z - m - 7 - 32, -2*z + 4*m + 48 = 0. What is the remainder when 69 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 8:12 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.56 from 7551.\nAnswer: 7550.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 - 6*k**3 - 83 + 2*k**2 + 2*k**3 - 15*k**3.\nAnswer: -37*k**3 + 2*k**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -2*d + 6*d. Let j be 2\/4*12\/2. What is the remainder when d is divided by -1 + 15*2\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 16. Let z be (h*-1)\/((-12)\/8). Let g = z + 39. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose 2*m + 2*k - 20 = 0, -4*m + 69 = 4*m - 3*k. Differentiate 8*a + f*a - m + 3*a + a wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, 1 o, and 1 s when four letters picked without replacement from ajdsmmomjojmsss?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.726 - 10.72602098. What is w rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 3*g + 8*g)*(5 - 6 + 3) - 7 - 43*g - 11 + 20 + (0 + 1 + 0)*(3*g - 2*g + 0*g) as v*g + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(891) + sqrt(891) - sqrt(891))**2*-4.\nAnswer: -3600 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139 + 650 - 98125*f + 98124*f + 849*f**5 wrt f?\nAnswer: 16980*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 93*u**6\/8 + u**5\/30 + u**4\/24 - u**3 - 2*u**2 - 360*u. Find the second derivative of l(b) wrt b.\nAnswer: 8370*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -13671.\nAnswer: -13671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10902 by 3.\nAnswer: 3634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/2 - 140*a**3 + 3201*a**2\/2 = 0.\nAnswer: -291, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1127724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) + -1 + sqrt(1053) - sqrt(1053)) - (sqrt(1053) + -2)*3 - (-4*sqrt(1053)*-1 + (sqrt(1053) + 0 + sqrt(1053))*-2))**2 + -1.\nAnswer: 9476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -119*c**2 - 111*c - 3. Let r(j) = -55*j**2 - 55*j - 1. Determine 13*r(l) - 6*s(l).\nAnswer: -l**2 - 49*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11189192 by -2797298.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2033 + 0?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7796 - -7802. Let y = -15 + 36. List the prime factors of -6 + 2065\/y - 2\/t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.1 and -70 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:25 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1380 = 82*f - 4660. Let h = -3290388\/77 + 42733. What is the common denominator of h and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225258, 225256, 225254, 225252, 225250?\nAnswer: 225248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or 47\/6?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**2*v*v*v)\/v*v)\/v)\/v)\/v*v*v*v*v\/(v*(v**(-4)*v)\/v)*v assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 11. Let j(p) = -p**3 + p - 1. Let y(o) = -4*o**3 + 4*o - 1 - 4 + 3. Calculate q*j(a) - 2*y(a).\nAnswer: 2*a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 37*v**2 + 2215*v - 2245. Give k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 60, 90?\n\"Answer: 30*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-1833.\nAnswer: 27495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 less than or equal to -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0)**8\/(o**(-3)*o\/o**2) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*a + 4*m, 5*a + 3*m + 16 = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2493 - -2498. Let y be ((-8)\/10)\/((-3)\/120). Suppose 5*v - v - y = 0. Solve 4*u - 4 = v, -x*u + 19 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*i + 3*a, 2*i + 152*a - 149*a = -16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -55. Suppose 5*k - 30 = -2*t, -5*t + i*t - 30 = -5*k. Suppose -k*d - 48 + 144 = 0. What is the smallest common multiple of d and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33570.15 months to decades.\nAnswer: 279.75125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 45*t + 2051. What is w(-47)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 40*j + 35. Give c(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let t(o) be the second derivative of -o**5\/10 - 3*o**2\/2 + 4*o. Let p(r) be the first derivative of t(r). Give p(n(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4 + 71*s**3\/3 - 13. Find the third derivative of j(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y\/(y**(-17)\/y))\/y))\/y))\/y**(-4\/7))\/((y*y**17)\/((y\/(y**(-2)\/y))\/y)) assuming y is positive.\nAnswer: y**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j**2 - 8*j - 23. What is o(-5)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -34*i. Let c(z) = -5*z + 15. Let n(p) = 2*p - 9. Let b(u) = 3*c(u) + 5*n(u). What is h(b(t))?\nAnswer: 170*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d + 3*x, -d - 7 = 2*x - x. Let i(t) = t**2 + 7*t - 5. Let k be i(-8). Sort d, 8, k.\nAnswer: d, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, c: 2, p: 3, b: 2, o: 6}. Give prob of picking 1 p, 1 o, and 1 i.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aeaaaeeaeeaaaeeaaeae.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.20568l in millilitres?\nAnswer: 52205.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 18 + 2. Suppose 31 = z - 2*w, -4 = z - n*w - 25. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 270*g**2 + 177395*g + 3285.\nAnswer: 5*(g + 657)*(54*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -48*z**3 - 44*z**2 - 2. Let y(o) = -o**3 - o**2 + 1. Let i = -64 - -66. Let a(b) = i*y(b) + l(b). What is the third derivative of a(q) wrt q?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - w)*(5*w - 2*w - w + 0 + w + 0 + (1 - 1 - 3)*(5*w + w - 4*w) - 5*w + 3*w + w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1756988 - 2?\nAnswer: -1756990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -6. Let p be (-5)\/(-25) + 18\/x. Suppose -p*f = -3*c + 27397, -f + 4*f = -5*c - 41105. What is f rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25970 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 26 = -2. Suppose -l - x + c = 0, 2*l = 3*x + 7 + 7. Let f = 0 + l. Solve f*b = 3*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(847))**2 + -5.\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = -2*p, -2*p - 6 = -c - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((58\/(-406))\/((-11)\/(-33)))\/(1\/574*-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28.018? (a) -4 (b) -2.8 (c) 22 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.28 and -66001.\nAnswer: 216483.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 + 6*c**3 + 5*c + 2 + 3*c**2 - 6 - 9*c. What is p(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28351368 + -80?\nAnswer: -28351448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5.336696 + 3.359258\nAnswer: -1.977438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*a = -33*a - 357 - 783 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = 20*p - 450 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/31 - -203\/93. Let y = w + 29\/6. Is 9 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 320*b + 321.\nAnswer: -(b - 1)*(b + 321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1378 - 3922. Let n be 12\/(-54) + k\/18. Suppose 186 = 5*q - l, -n = -4*q - 2*l + l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001102 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = 2. Let j(p) = 0*p**2 + 5*p**r + 9 - 6*p**2. Let n be j(0). Solve -5*d = -2*d + n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 9 = -5*r. Suppose -r*q = -6*q - 456. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*m + 206 = -3*u, 89 = -2*u - 5*m. Let a = u + 42. Solve a = -3*d + 2*r + 7, -4*d + 0*r + 3*r + 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00256786 to 5 dps.\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2684 = -12*t. Let q = t - -489. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 3. Let u be t(10). Suppose -u = w - 2. Let v(p) = p - p**3 + 0*p**3 - p**2 - 4*p**2. Calculate v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**2. Let k(u) = -830591*u. Calculate t(k(c)).\nAnswer: 7588695502091*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -2*h + 173, 17 = 5*i + 3*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 358 = 2*a, 40*a + 716 = 2*w + 36*a. Calculate the least common multiple of 11 and w.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.0272, 1, -15?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 a factor of 53056113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 - -219. Let d(s) = -46 - m + 91 - 5*s. Let b(u) be the third derivative of -u**5\/6 + 3*u**2. Give d(b(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4796163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6271344 and 7920.\nAnswer: 344923920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**5\/4 - 9*p**2\/2 + 9*p - 2. Let s(n) be the first derivative of b(n). What is the first derivative of s(y) wrt y?\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/100)\/(4\/10))\/(20624\/12890)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 191*y**3 - y**2 + 3*y - 1. What is the units digit of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3194441146?\nAnswer: 2, 13, 122863121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m - 33*m**3 - 14*m)*(-2 + 2 - 2*m)*(-1 - 5 + 3) + (-2*m + 2*m + m)*(-2*m**3 - 3 + 3).\nAnswer: -200*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1096 + -1096. Suppose -8*a + 27 = a. What is the nearest to m in a, -1\/10, 0.3, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 122064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-8 - (3 + -7) - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*w = 68, 0*w + 10 = -2*w. Let u = 20 + k. Suppose -u = 3*s - 71. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-12) + (-50)\/200?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 41*h = -276 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307363?\nAnswer: 7, 19, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 != 3763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-10))\/((-58)\/(-290)). Which is the nearest to u? (a) -16 (b) -1 (c) 3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101111011?\nAnswer: 101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 82. Let p be w(-24). Let s(t) = -t - 7. Let x be s(p). Solve -x*l = -l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 69, 94, 137, 204, 301, 434?\n\"Answer: u**3 + 6*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -270, -1085, -2446, -4353?\n\"Answer: -273*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/180 - 13*a**5\/15 - a**4\/36 + 26*a**3\/3 - 870*a**2. Suppose x(l) = 0. Calculate l.\nAnswer: -1, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 836*v - 154. Let a(b) = -27*b + 5 - 7 + 6 + 1. Let c(x) = -154*a(x) - 5*i(x). Let j(u) = 1235*u - 1235*u - 2*u**2. Give c(j(k)).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31011 (base 5) in base 4?\nAnswer: -133112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3266*x**3 + 2840*x**3 + 6223*x**3)*(4 - 5 - 1)*(-2 - 3 + 3) to s*x + o*x**2 + h + k*x**3 and give k.\nAnswer: 49316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p*y**3 + 2*p - 471602*y - 1183832 wrt y?\nAnswer: 9*p*y**2 - 471602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62602, 250415, 563438, 1001671, 1565114, 2253767?\n\"Answer: 62605*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11493)\/(-42141))\/((-1215)\/(-220)).\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -2\/17 (c) 1\/2 (d) -9090\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = d - 3*d + 16, 2*p - 4*d + 16 = 0. Let c be 32\/120*5\/(-6). Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1655435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d + f, 24 - 10 = 2*d + 4*f. Let u be ((-6)\/(-12))\/(d\/(-26)). Let s = 155 + -152. What is the third biggest value in u, s, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/420)\/((-2)\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/5, 0.2, -65, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 488, -0.2, -0.9, -0.4 in descending order.\nAnswer: 488, -0.2, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6\/5 (b) 2\/9 (c) 2\/7 (d) 2\/23 (e) -0.0412 (f) 3\/7 (g) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 6*s**2 - s + 3. Suppose 4*o - 3*l - 1 = 10, 0 = 5*o - 3*l - 13. Suppose -x - 8 = z, -4*z + 3*x = -o*x + 14. Give a(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -650.7 + 652. Which is the second biggest value? (a) 0.7 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 20*i**2 - 52*i - 190. Let h(b) = 7*b**2 - 18*b - 63. What is -17*h(t) + 6*k(t)?\nAnswer: t**2 - 6*t - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956162495 to the power of 1\/2, to the nearest integer?\nAnswer: 54371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -1863*i + 1844*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*y**3 - 7*y**3 + 19*y**3)*(1 - 1 - 2*y**2) + (-5*y + 3*y + 4*y)*(-y**4 - y**4 + 5*y**4).\nAnswer: -90*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.955, -0.4, 2.8 in increasing order.\nAnswer: -0.4, 0.955, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15) - 208\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 34 (b) -1 (c) 17 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let f be t(4). Suppose b - 294 = -2*l + 32, -f*l - 320 = -b. Let x be (40\/15)\/(6\/81). What is the greatest common factor of b and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 at least -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 2194170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-6)\/((-6)\/(-3)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 5*m - 8. Let d be r(7). Suppose 34 = -5*o - d. Let c(x) = -x**3 - 23*x**2 - 22*x + 10. What is the lowest common multiple of c(o) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 747 = 2350. Which is greater: t or 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -112?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 69201417415\nAnswer: -69201417411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/18013, -4, 2\/55?\nAnswer: 2\/18013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + -1 - (sqrt(3) + (sqrt(147)*2 + sqrt(147))**2)) + -1.\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5165 (b) -4 (c) 0.3 (d) 2\/7 (e) 4 (f) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1489 divided by -49?\nAnswer: 1489\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 799.1792 milligrams?\nAnswer: 0.7991792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 18*h**2 + 0 - 1\/90*h**5 + 0*h + 0*h**3 + 7\/36*h**4. Find i, given that k(i) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) - sqrt(150)*1)\/sqrt(6) - (sqrt(2025) + (sqrt(2025) - 2*sqrt(2025))))*6)\/(sqrt(500)*-4 + sqrt(5) + 2*sqrt(45)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -48, -73, -98, -123, -148?\n\"Answer: -25*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l - 1. Let x be f(2). Let k(b) = 7*b + 29. Let h be k(x). Let a(y) = -3*y - 1. Let u(m) = 5*m + 1. Determine h*a(t) + 5*u(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/(-5600)*50*(-16)\/(-570).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 12*b**2 + 10*b - 4. What is the smallest common multiple of c(-11) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5077, 5111, 5195, 5353, 5609?\nAnswer: 5987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37450 and 50?\nAnswer: 37450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 + 0.05. What is the nearest to 0.1 in 2\/19, -2\/7, j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2299))**2 + (sqrt(19) - (3 + sqrt(19))*2).\nAnswer: 43*sqrt(19) + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13 - m**3 + 3*m**2 + m - 6*m**2 + 4*m**2. What are the prime factors of j(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24980337480 to the nearest one million.\nAnswer: -24980000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*d*o**3 + 6*d*o**2 + 5*d*o + 1919*d - 4290*o**3 - 2949 with respect to d.\nAnswer: 13*o**3 + 6*o**2 + 5*o + 1919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 + 220 - (27 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - -8. Let b = 761 + -765. Let w be (-19)\/b*(-14 + 22). Calculate the highest common divisor of u and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 4) to base 9\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 567 = 5. Suppose -v*m = -17*m - 7263. What are the prime factors of m?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 18 + (-12 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.58 and 0.0261435.\nAnswer: 0.01516323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3071991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -f, 0 = -5*q - f + 3*f - 9. Is q at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (3892 - 8) + -5 + 0. Suppose -5*t = -3*u + 3862, 6*u + t = 9*u - l. List the prime factors of u.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjf when three letters picked without replacement from {j: 1, p: 2, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 1 - 2*o**4 + 1 - 10831389*o**2 - 9*o**3 + 10831412*o**2 in the form y + i*o**2 + p*o**4 + m*o + n*o**3 and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -153404016?\nAnswer: -153404034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 50.1. Let s = 0.262 - 0.052. Let o = s - 0.117. Is o less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76628 - -22866.\nAnswer: -53762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 283, 283, 285, 289, 295?\n\"Answer: h**2 - 3*h + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734971391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 1650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4930*s - 433*s - 1360 + 9328*s with respect to s.\nAnswer: 3965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2111218 or 1\/7?\nAnswer: -2111218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1 - 2 = 5*k, -5*a = 3*k - 29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -1 (c) 1 (d) 163 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 42333 = 16*p - 42813 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-45)\/(-495))\/((-26)\/(-11))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 17. Let y be p(-13). Let h be (0 - -1)\/(y\/(-36)). Let k = -5 - h. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-3 + 8 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 17 = 2*n. Let s be n\/44 + (-6)\/(-8). Let j = 3.9 - -1.1. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 417*x - 8. Let v be 5*(1 - (-9)\/(-15)). Suppose 0*t - v*a + 14 = -t, 4*a + 8 = -4*t. Let y be z(t). What is y rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 11 = -13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12132 + 22142244?\nAnswer: 22130112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 60379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119921862 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43824734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u + 0*u + (u + 0*u + 0*u)*(-1 + 4 - 1) + u + 0*u + u + u - 2*u - u)*(6515 - 209*u - 24*u - 6513).\nAnswer: -932*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**2*y**2 + 315*x**2*y + 6*x**2 + 3*x*y**2 + 41*x + 1 wrt x.\nAnswer: 2*y**2 + 630*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 + 11 + 6 + 6 - 2 + 0 + 3 + (-4 + 0 + 3)*(1 - 5 + 3))*(-t**2 + 2*t**2 - 3*t**2).\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 6 + 4)*(3 - 3 - 1) + (1 + 3 - 2)*(-6 + 4 + 0))*(22*g**3 - 4*g**3 + 10*g**3) as z*g**3 + a*g + w + y*g**2 and give z.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10612977.\nAnswer: 3, 3537659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bea1e (base 16) in base 5?\nAnswer: -2001122213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 8*i - 5. Let j be (1 - -4) + (14 - 17). Suppose -j - 8 = -2*z. Suppose -z*r = 5*y + 24 + 11, -3*y = 6. Determine h(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 18*s = 30*s - 72. Let r be 1\/(-4) + 4\/16. Solve 0 = l - r - s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1160 - -4)\/(1\/(-1933)). Let k = -25 - -24. Let x be -3 + k - d\/3. What is x rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 + -180. Let b = u + 23. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 46?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*l - 17*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 1349 - 1464 + 16*q**2 + 2818 + q in the form m*q**2 + a + f*q**3 + z*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 3:54 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)*a*((a**(-4)*a)\/a)\/a*((a**1\/a)\/a)**(-2\/3) assuming a is positive.\nAnswer: a**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3600 - 3602. Put h, 4, -77 in descending order.\nAnswer: 4, h, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -229 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*h + 982 = 2*l, 2*h - 188 = -l. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 15*c = 10*c + 108 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 1 - (-4 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-3) + -7 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23978 times 1.4\nAnswer: 0.335692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -404 - 400 - 400 - 2*j**2 + 1603 + 2*j**4 + 8*j - 405 in the form g*j + r*j**3 + x*j**4 + w*j**2 + z and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 12:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -1\/4, 2\/251, -2\/15?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*h - 19*h - 14*h - 30 - 16*h + (2*h + 1 - 1)*(-39 + 23 - 43) to the form g + l*h and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + 4*y**3 - 3*y**3 + (2 - 2 + y**3)*(-2 + 3 + 1) + y**2 + 0*y**3 + 2*y - 3*y**2 - 2*y**3.\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 788711 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 29 - 31 + 5. Let u(k) = k**2 + k. What is c(h) - u(h)?\nAnswer: h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(20)\/(sqrt(28)\/sqrt(7)) - sqrt(180)*-3)*-2)**2*2.\nAnswer: -43320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:16 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:51 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 2511?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = 3*k, 0*z - 2*k - 2 = 2*z. Let s = 3 - z. Suppose 3*o = 2*v + 35, -o + 10 = -s*o + v. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-48))\/(555\/17760)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-3)*(-2)\/(-6). Let d = g - -1. Let z be 5\/1 - 1*d. Solve -3*q - 25 = z*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-162)*63\/(-14)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*(-8)\/6. Suppose 428 - 6960 = -46*i. What is the highest common divisor of h and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 18*t**2 - 72*t + 31. Find the common denominator of r(12) and -89\/1776.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 312*i + i**2 - 861*i + 402*i - i**3 to v*i**3 + a*i + m + b*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2086 - 95*o**4 + 2086)*(-1 + 11*o - 5 + 5).\nAnswer: -1045*o**5 + 95*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93207, 93208, 93209, 93210?\n\"Answer: v + 93206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 - k**4\/3 - 5*k**3\/6 - 73*k. Determine a, given that u(a) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1341762 (base 8) to base 4\nAnswer: -1130033302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -465, -464, -463, -462, -461, -460?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28689506 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(273\/(-28)). Suppose 0 - 5 = -5*q. Is y greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Solve z*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t - 3. Suppose 0 = 3*k + 4*d + 7, -k + 4*d - 23 = 2*k. Let o(i) = -8*i - 4. Let a(c) = k*o(c) + 7*x(c). Let j be a(1). Solve s = 2*s - j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2, 45, -0.3, 1 in descending order.\nAnswer: 45, 2, 1, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4 + 188*l**3 - 117*l**2 + 6*l - 3?\nAnswer: 48*l + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + (sqrt(72)*-1 - sqrt(72) - sqrt(72)))*6)\/(sqrt(40)\/(5*sqrt(40))).\nAnswer: 390*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(39)\/sqrt(3) + -5)**2 + (sqrt(117) + 1)**2 + sqrt(117) + (1*sqrt(637) - sqrt(13))**2 - (((-1 + sqrt(637) + -1)*6)**2 + 0).\nAnswer: -22477 + 1017*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 539, 541, 553, 581, 631?\n\"Answer: z**3 - z**2 - 2*z + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 77*h - 511. Suppose 5*z - 31 = -2*o, o + 5*z - 7 = 2*o. What is the smallest common multiple of y(7) and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1442 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 612*z - 4213. Determine s(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114\/(-15)*(-25)\/10 - -1 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205.3535 - -512.3392. Let k = 307 - t. Round k to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18438062150 and 522.\nAnswer: -18438061628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/1072)\/((-33)\/36*1458\/(-3564))?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/3 - 1254086*d\/3 - 418028 = 0. What is d?\nAnswer: -627042, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g)\/(g*(g\/(g**(1\/3)\/g)*g)\/g)*(g**1)**50)\/(((g**6\/g)\/(g*g\/(g*g**(-3\/5))))\/(g*g\/(g\/(g*g**(-4)))*g**7*g)) assuming g is positive.\nAnswer: g**(704\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 102. What is the closest to -4\/15 in -2\/11, 4\/3, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9816491376 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0472266 + 1555979782\nAnswer: 1555979782.0472266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -268097 + -1d?\nAnswer: -2680b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = -3*x, -3*b - 2*x + 3*x = -25. Suppose 0 = 8*d - b*d - 8. What is the highest common divisor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -0*w + 3*w. Let i be (-45)\/10*-52 + -3. Let c = i + w. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 46 = -5*w, 72*w - 4*k + 31 = 69*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 30. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1*1229\/5). Let u = y - -77477\/12290. What is the common denominator of -107\/10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llsrvdh. What is prob of picking 1 l, 1 r, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 2*u + (1 - 5 + 1)*((-6 + 2 + 2)*(0*u - 5*u + 2*u) + 0*u + 4*u - 15*u) in the form c*u + j and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/14 - (-10676)\/119) + -4?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 4. Let c(q) = -43*q + 37. Let a be c(1). Let b(z) = 2*z + 11. Determine a*b(h) + 17*g(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*1*156\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3292855 = 2*l, n + n - 1317163 = -5*l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 4211 - 14900 = 0. List the prime factors of l.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316138 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/231, 5, -5\/9.\nAnswer: -5\/9, 4\/231, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0*h**2 + 3*h + 0 + 0*h**3 - 1\/6*h**4. Let v(m) = m**2. What is v(d(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1777594168*x + 3*x**3 + 1777594168*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -21*w + 16*w. Calculate the remainder when 24 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8676000 = -11*x + 15*x. What is x rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2046*y**3 - 11*y**2 + 2*y - 2. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3\/3 + 2*u**2 + 6*u. Let s(g) = g + 1. Let y be -11 - (-4 - -3 - (-28 + 35)). Determine y*x(h) + 8*s(h).\nAnswer: 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from {d: 5, o: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403074781 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 32867312*p**3 - p + 622423 wrt p.\nAnswer: -20*p**3 - 197203872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001118960075 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 8. Let j be a(-4). Suppose -g + 39 - 36 = j. Solve 4*u = i - 2*i + 18, 0 = -i + g*u - 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -21. Let s(g) = -g + 25. Let m be s(14). Suppose x - 9 = m. Calculate the least common multiple of x and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.33 and 7048.\nAnswer: -2325.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24)\/((-3)\/202) + 7\/(-25 + -3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = 5*l - l, 2*o = -3*l - 10. Suppose -2*g - 3*c + 11 = 0, 3*g + 3*c = -2*g + 32. Solve l = -3*k - 22 + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**2 - 6*w. Let u(j) = -6*j**2 - 3*j. Let i = -528 - -524. Give i*x(n) + 7*u(n).\nAnswer: 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -5*d + 312. Let h = 55 - d. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2889.\nAnswer: -5\/2889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/(b\/b**(-1\/5)))\/b)\/b*b*b**(-1\/4)*b)\/((b\/(b*b**8))\/(b*b**(-1\/7))))**(-29))**(-7\/9) assuming b is positive.\nAnswer: b**(34133\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 93588\/(-198)*-1*3. Suppose 1428 = 2*c - 2*q, 40*c - g = 38*c + 4*q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1265800, -5, 1, 3 in ascending order.\nAnswer: -12, -5, 1, 3, 1265800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -9*n + 312. Calculate the remainder when n is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 131)\/(14\/(-21)). What is the greatest common factor of f and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 4*f - 6. Let o be -5*2\/(5 - 3). What is the tens digit of y(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + t**4 + 7*t**4 + 0 + 0 + t**4 + (-2*t + 2*t - 2*t)*(-2*t**3 + 3*t**3 + 0*t**3).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(1\/16)\/w)\/w))\/w*(w\/((w\/(w*w**(-43)))\/w))\/w*(w**(2\/11)*w)**29)**(-16) assuming w is positive.\nAnswer: w**(1019\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 24*b + 1. Let k be v(1). Suppose k = 5*q + f, -3 - 2 = -q - 2*f. Suppose l + 1 - 8 = -2*i, -q*l - 21 = -4*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 28*z + 130 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/3 + 3. Let g = 3.6 + -4. Let s = -162 + 645\/4. Which is the smallest value? (a) n (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -13*a + 5. Let s(g) = 32*g - 12. Let h(p) = 12*f(p) + 5*s(p). Let w(q) = 2*q. Calculate h(w(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3173 + 3173 - 15*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145 + 9.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6 + 21*h + 3*h**2 + h**2 + 9 - 14. Let r be l(-5). Which is greater: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 9. Let k(m) = -2 + 2*m**3 - 9 + 5 - t*m**2 + 4 + 2*m. Let d be k(2). Calculate the highest common divisor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-2*sqrt(240))\/sqrt(10))\/(3*sqrt(48)))**2.\nAnswer: -2*sqrt(2) + 83\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*k + 26, 2*f = -k - 15 + 3. Let n(p) = -13*p. Let a be n(3). Put 2, a, f in decreasing order.\nAnswer: 2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-2) + 2)\/(6\/(-8)). Suppose r - 1 = -2*d + 9, 0 = -w*r - 3*d + 15. Solve 0 = 5*s + t + 22, r*t + 4*t - 32 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + -0.2. Let q = 2 - 2.2. What is the nearest to -0.1 in q, -4, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 12*q + 2. Let t be h(-6). Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -15723422.\nAnswer: 2\/7861711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -83. Suppose k = -3*d + 17, t*k = 4*d - 2*d - 4. Solve -m = 4*x + m - 16, d*x + 4*m - 23 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 43. Let a(q) = -2*q - 22. What is -5*a(r) - 3*f(r)?\nAnswer: -2*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/((f*f\/(f\/f**(-5))*f)\/f)*f*f*f*f))\/f)**(-1\/22)*((f**(-15\/2)*f)\/f)\/f**(4\/25) assuming f is positive.\nAnswer: f**(-3963\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574779.\nAnswer: 3, 41, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i**2 - 15024*i - 90. Let g(l) = 5*l**2 - 3755*l - 20. Determine -9*g(p) + 2*s(p).\nAnswer: -3*p**2 + 3747*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.7. Let s = o - -2. Let q be 11\/(-264) + (-2)\/6. What is the third biggest value in s, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v + 8*v - 43*v**3 + 27*v + 13*v + 0*v.\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -180.2. Let z = 0.6 + -5.4. Let h = f - z. What is the third biggest value in 4\/7, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 719*o - 17*o**3 - 719*o in the form p + j*o + w*o**2 + d*o**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m - 52 + 1. Is m >= -21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose -w = -r + 1. Suppose -5*z - 64 = -r*i, -2*z - 116 = -4*i - 3*z. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.183 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3591, 5 in decreasing order.\nAnswer: 5, 1, -3591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2603*r = -2614*r + 5456. Solve r = -2*s + 500 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0512 times 1.5\nAnswer: -0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6424592 and -0.8.\nAnswer: -6424592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2 - a**3 + 38*a - 35*a + 0. Let d be w(-2). Suppose 0 = -5*t + 3*r + 25, t - d*r + 2 - 24 = 0. Solve t*g = g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 1090067037449?\nAnswer: 1090067037449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 8*k**2 + 8*k + 4. Let z be i(6). Does 19 divide ((-228)\/(-30))\/((-1)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(16\/4)*10*(828\/(-4))\/(-69).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1525, -6109, -13741, -24415, -38125, -54865?\nAnswer: -74629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -0.4, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/56*(-3 - (-76)\/16). Let f(x) be the first derivative of 7 - t*x**2 + 0*x. Let w(a) = 18*a. Determine f(w(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5500*k - 1165858. What is j(-212)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-10))\/(54\/(-1035))*-12. Suppose 5*u = 2*u - 327. Let b = l + u. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 + 5*j - 5. Let q(l) = -l**2 + l - 1. Let g(n) = 3*c(n) - 15*q(n). Let f(k) = 4*k. Determine g(f(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 736357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12759, -12731, -12703, -12675, -12647?\nAnswer: -12619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -113.86. Let x = 9.1401342 - b. What is x rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/75 + 2 + (-8)\/80 + (-107)\/2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (332\/5229)\/(4 + 38\/(-9)) + 663\/(-7).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3801 and -35\/1086?\nAnswer: 7602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 + 1696*m**3 + 5090*m**2 + 15272*m\/3 + 1697.\nAnswer: -(m - 5091)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let g(j) = 2 + 0 - 3 + 2 + j. Calculate -b(p) + g(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -j - 1, 6*j - l = 11*j - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (740\/(-1850))\/(28\/(-105)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2fb941?\nAnswer: -2fb93e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = -3*c, 0 = 7*g - 8*g - 2*c - 2. What is the second derivative of -f - g*f + 25 + f**2 - f**5 - 14 wrt f?\nAnswer: -20*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 3, m: 4}. What is prob of sequence xx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 8*a + 27. Let t = -13 + 8. Let p be j(t). Is p less than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -611*t + 86. Let r(n) = 407*n - 57. Let d(h) = -7*r(h) - 5*z(h). Is 7 a factor of d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, b: 3, d: 1, r: 6}. What is prob of picking 1 x and 2 b?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(60\/(-4)) - 148\/(-6). What is the second derivative of -z*x + 16*x**2 + 3*x + 19*x wrt x?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302*u + 8214 = 355*u + 26441. Let p(f) = 11*f + 8 + 27*f**2 + 6*f**3 + 3 - 78*f**2. Let j(n) = n**3 - 10*n**2 + 2*n + 2. Determine u*j(v) + 2*p(v).\nAnswer: v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 3244815*g**2 + 6489645*g - 3244825.\nAnswer: -5*(g - 1)**2*(g + 648965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1630 and 2366.4002092.\nAnswer: 3996.4002092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 384696353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b**2 - 49*b**2 - 2 - 3 + 5.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2\/11, -0.2, 18.4?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*x - 520, -2*g - 3*x + 220 = -4*x. Let j(u) = 2*u**2 - g*u + 108*u. Let q(c) = 3*c**2. Determine j(q(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 0*p = 5229. Let x = -202 - p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.09 - -0.09. Let d = 145 + -144. Which is the nearest to -3\/5? (a) d (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + ((-2351514)\/(-1927))\/(-33)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27042 by -2.\nAnswer: 13521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.103712615 less than 3?\nAnswer: 3.103712615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2803, -5604, -8401, -11194, -13983, -16768?\nAnswer: -19549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 48*q = 0. Suppose 45*o - 11*o - 4352 = q. Calculate the greatest common factor of 32 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let n(b) = b**2 - 9*b - 36. Let i be n(12). Let p(k) be the third derivative of 0*k + i - 7\/24*k**4 + 0*k**3 - 15*k**2. What is p(y(v))?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-132)\/(-20))\/11*5)\/((-6)\/32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4 - 8 + c + 0. Let n be o(6). Suppose 0 = 2*i + 3*i. Solve i = -n*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - d + d)*(-117 - 23*d + 117)*(0*d**2 - d**2 - d**2 + (-160*d - 12*d**2 + 160*d)*(0 + 3 - 2)) to q*d**3 + x*d**4 + n + a*d + m*d**2 and give x.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 283901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621021086 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*sqrt(96)\/sqrt(4))\/(sqrt(12) - sqrt(768)) - (3 + (-4 + sqrt(2) + (sqrt(2) - 1*sqrt(2)) - (sqrt(100)\/sqrt(5))\/sqrt(10)))**2).\nAnswer: -25*sqrt(2)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 42, -7\/12611 in ascending order.\nAnswer: -1\/12, -7\/12611, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*m**4 + 37*m**3 + 40*m**2 + 14064718*m wrt m.\nAnswer: -420*m**2 + 222*m + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9647473 months to millennia.\nAnswer: 0.000247062275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10657711 to the power of 1\/2, to the nearest integer?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*w = 10 + 6, 15 = 5*w. Let d be 2000\/(4\/(-6160)*g). Round d to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -2*f**7\/21 - 26*f**6\/15 - 48*f**5\/5 - 12*f**4 - 3*f + 16. Factor n(p).\nAnswer: -4*p**2*(p + 1)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*1 - (sqrt(19) + 2 + 5 + sqrt(19)))**2.\nAnswer: -56*sqrt(19) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-4)*23\/((-299)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-402)\/1512 + (-8)\/(-18))\/(3\/(-6))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 235102?\nAnswer: -235051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14092, -28187, -42274, -56347, -70400, -84427, -98422, -112379?\n\"Answer: r**3 - 2*r**2 - 14096*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -2*u. Solve 4*m + u*m = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2601 + 2601. Solve 3\/4*j**2 - 3\/4*j**3 + h*j + 0 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 4*m + 1. Suppose 12 = -3*l - l. Let u be o(l). Let r(x) = -x**3 + 3*x**2 + 6*x - 4. What is r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*n - 21829 - 34412 = -483*n + 17159 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2125314.6561 minus 5.54?\nAnswer: -2125320.1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 = -79*w - 38*w - 18*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2120 and 13\/898880.\nAnswer: 898880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) - (-660456)\/(-432). Round m to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0.07, -1, -5, 1 in decreasing order.\nAnswer: 1, 0.07, -1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3865.655 years?\nAnswer: 38.65655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - 0. Suppose -2*q - 3*j = -m*q + 46, 4*q + 4*j = 104. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1106)\/474 + 1\/(-6)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 9. Let d(p) be the first derivative of p**2\/2 + p + 2. Calculate the remainder when o is divided by d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.14991 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (-12 - -10) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*w - 652*w + 2491 = 616*w + 28443 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/39)*t*t*t*(t*t\/(t*t\/t**1)*t*t*t*t)\/t*t**(-2\/7)*(t**(-14)*t)\/t assuming t is positive.\nAnswer: t**(-2003\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*b = -36, -2*n - 2*b = -7*b - 28. Suppose n*f - 13 = -5. Suppose -12 = -w + 3*y, f*y = -3*w + 3*y + 28. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - (3 + -103)) + (-36 - -39).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 8*p**2 + 10*p - 9. Suppose -1768 = 4*j - 21*j. Let i be 380\/65 - (-4)\/j*4. Calculate y(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1438 - -4?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1355\/1254 - -33\/38. What is the common denominator of 65\/42 and f?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -635 + 739. Calculate the greatest common factor of o and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11110?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1708383 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.400002 - -0.4. Round v to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/18 and 3 + 1\/((-20)\/133).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1787 - -1790. What is the second biggest value in j, -2\/11, -156?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87\/91, 7, -2 in decreasing order.\nAnswer: 7, -87\/91, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22982)\/(-2) - (-7 + 0). Suppose 0 = -7*a + d - 2307. What are the prime factors of a?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p**2 - 111*p + 28. Give y(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/34*(5\/60)\/(2\/(-4))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m. Let o(q) = 13*q**2 + q. Give o(g(z)).\nAnswer: 117*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 422.2789 years?\nAnswer: 4.222789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1337 + 2620. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33323004 (base 5) in base 6?\nAnswer: -10133010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-31))\/s*s)\/s**3)\/(s\/(s*(s\/s**26)\/s)*s*s)**9)**(-1\/51) assuming s is positive.\nAnswer: s**(223\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v. Let j(h) = h**2 + 3*h - 16. Let o be j(3). Let f(c) = -17 + 170*c**o - 171*c**2 - 14. What is f(q(i))?\nAnswer: -9*i**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 3, w: 5, i: 9}. What is prob of picking 2 f, 1 i, and 1 x?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -188\/11 less than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 25. What is o(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Suppose n = -4*b + 17 - 57. Which is bigger: 1\/2 or b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1.6. Let j = 9 + -6. Which is the third smallest value? (a) 2 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202204*h**2*p**2 - 5*h**2*p - 3*h**2 - h*p + 103*h + 2*p wrt p.\nAnswer: -404408*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 1176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8808 times 3?\nAnswer: -8.6424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -60 (c) -0.3 (d) -4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32571395 rounded to 3 dps?\nAnswer: 0.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 times 344333?\nAnswer: 122582548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 63888 = 39*t + 6*t. Is t a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 91334299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803756 is divided by 89305.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 2*w**2 + 2*w - 1. Let h be z(1). Let o be ((-2)\/(-1))\/(h + -7). Which is the nearest to -0.1? (a) 0.4 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147\/4 + -39. What is the nearest to 0.1 in 0.9, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*g - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 3. Calculate y(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7012 - 7772 = -8*q. List the prime factors of q.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 9*a**5\/5 + a**4\/2 - 2*a**3\/3 - 10*a + 44. Find the third derivative of n(l) wrt l.\nAnswer: 216*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3 - 2307280*a**2 + 266174742625*a + 532358714410 = 0.\nAnswer: -2, 230729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2067a99 - b?\nAnswer: -2067aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-13)\/(-221)*267*(-6)\/18\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 35*o - 21*o - 531 + 519 - 12*o. Calculate m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39339722 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = -4*p, k + k - 5 = -p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/s*s*(s\/s**(-1))\/s*(s*s**1\/s)**(11\/4) assuming s is positive.\nAnswer: s**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/(w\/(w\/((w\/(w**(-13\/4)*w*w*w*w)*w)\/w))) assuming w is positive.\nAnswer: w**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/3 (c) -18\/7003 (d) -0.337 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(33))\/(1*sqrt(21)\/sqrt(7)) + (-3 + 1 + sqrt(539) - sqrt(539))*-5*2.\nAnswer: -4*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 8. Suppose -3*o - 1038*i + 8 = -1037*i, -o - 3*i = -16. Is 21 a factor of (-42)\/(c + (o - -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*p - 136953, -91274 = -61*x + 59*x - 2*p. List the prime factors of x.\nAnswer: 2, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (18\/(-5) + 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 8, -4212, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 14. Suppose -s*d = 5*j + 29, -3*d - 3*j - 19 = d. Let x(i) = -13*i + i - 2*i + 4*i. Calculate x(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*b + 45 = 117*b. Suppose -4*c - 888 = -o - 3*o, 915 = 4*o + b*c. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25081489 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15 = 4*b, -c + 13 = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 3*c)*(-4*c + 2*c + 3*c) - 2*c**2 + c**2 + 2*c**2)*(3*c**2 - c + c).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*a + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 4*w**3 + w**2 - 15*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11973902?\nAnswer: 2, 5986951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.2 - -19. Sort y, -2\/11, 7, -0.5 in increasing order.\nAnswer: -0.5, y, -2\/11, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let m(r) = -36814*r. What is y(m(v))?\nAnswer: 2710541192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 5. Let w be v(0). Suppose 7*x = w*x. Solve x = -5*q + 34 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 - 2 = 0. Calculate the smallest common multiple of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*p**4 - 6427*p**2 - 2841*p + 19 wrt p.\nAnswer: 108*p**2 - 12854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1241580 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 2255843135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v)*(-1 + 24 + 7).\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568174 divided by 2?\nAnswer: 4284087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (100\/(-550))\/(8\/(-22)) + (-9)\/(-12). Let m(k) be the first derivative of y*k**4 + 9 + 5\/6*k**2 + 0*k - 1\/3*k**5 - 5\/3*k**3. Let m(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 119*f + 2227. Give z(-24).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*b**4*s**2 + 1832378*b**2*s**2 + 10301*b*s**2 - 36*b*s + s**2 - 2*s + 14 wrt b?\nAnswer: 1248*b**2*s**2 + 3664756*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - ((-21)\/3 + 2))\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*l + x, 4*l + 5*x + 79 = 139 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7473822.\nAnswer: 2, 3, 29, 42953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303727 micrometers in nanometers?\nAnswer: 303.727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 31*w**2 - 74*w + 277. Calculate l(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.6*21.\nAnswer: -411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24403 and -17242318.\nAnswer: -17266721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 32. Let z(b) = m*b + 0*b - b. Let j(t) = -15*t. Determine j(z(f)).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2726*k**2. Let m(n) = 12*n. Determine z(m(g)).\nAnswer: -392544*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g**2 - 2*g + 8. What are the prime factors of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r - 9. Let z(c) be the second derivative of -c**3\/2 + c**2 + 1063*c. Calculate -2*p(b) - 9*z(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/720 + 13*q**5\/120 - 11*q**4\/24 + 22*q**2. Let l(j) be the second derivative of v(j). Differentiate l(p) wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*a + 27606682 - 27606682 as b + k*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 - 36*z**4 - 82*z**3 + 144*z**2 + 360*z = 0. Calculate z.\nAnswer: -15, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/1048 + -21823\/38776. Which is the third biggest value? (a) -2 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.28 - -1. Let j = k - 1.25. Let t = -1.591 - j. Round t to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10135233 + 2?\nAnswer: -10135231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzeezezzzzzzzezzzz?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 856423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/1309068 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + -3*sqrt(300)*-2))**2 + 2.\nAnswer: 4320*sqrt(3) + 97346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-34)*(-8)\/12\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g - 275. Let k(h) = -38*h + 550. What is 3*k(f) + 5*q(f)?\nAnswer: f + 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - -29 - ((-18 + 6 - -39) + -23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put together 5543 and 0.02158982321.\nAnswer: 5543.02158982321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*i - 2 = -f, 0 = 4*f - 4*i + 24. Let k be ((-2)\/12)\/(f\/(-18)). Let r = -10.03 + 6.03. What is the smallest value in r, 2, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2662*x + 7291*x - 3485*x + 7782*x in the form g*x + m and give g.\nAnswer: 14250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 6*t - 10*f - 343 = 50, -4*f = -72*t + 67*t + 151 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {f: 12, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -30\/17, 59, 0.8, 2\/9 in descending order.\nAnswer: 59, 0.8, 2\/9, 0.05, -30\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:30 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31.7? (a) 3 (b) 2.81 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2. Suppose 0 = -12*h - 8*h + 60. Let f(g) be the second derivative of -1\/3*g**h + 4*g + 0 + 0*g**2. Give f(b(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716015 = 4*s - 3*u, 5*s + 19*u = 16*u + 894985. Round s to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -20 + 20 - 42. Let z(v) = 6*v**2 - 10*v + 15. Give z(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*d - 220*d = 5*b - 18, 5*d = 4*b + 2*d - 36 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcrc when four letters picked without replacement from ttrccruttcuuxcxx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10773.67851ns to weeks.\nAnswer: 0.000000000017813621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7821828 is divided by 333?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*y - 10 = -110*y. What is the least common multiple of y and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.58 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279914586?\nAnswer: 2, 3, 7, 139, 47947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -118b (base 12) to base 4\nAnswer: -132323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012202 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*65\/26*10\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 2. Let y = 1 + x. Let m be y*3*(-2)\/(-9). Solve 2*l + 2*r - 4 = 0, 0*r - m = -5*l - r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-7)*(-28)\/(-21)*1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1568\/(-10))\/(6\/75000). Round s to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20*5725\/(-12595).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262333, -1049334, -2361011, -4197370, -6558417, -9444158, -12854599, -16789746?\nAnswer: -21249605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 25*u - 18. Let z(d) = -9*d - 24. Let l be z(-6). Let x be g(l). Let w = 41 + x. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j + 11 = 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 3, v: 1}. Give prob of picking 1 v, 2 i, and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41941 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.09, 1, -0.2, 0 in decreasing order.\nAnswer: 1, 0, -0.09, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -0.4, 0.0138?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 3. Let o be b(3). Suppose 7*l - 20 = o*l. Let v = -7654 + 7692. What is the remainder when v is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 24509832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38839741351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/10 - q**2. Let b(w) = -12*w**2 - 14*w**2 + 21*w**2. Let y be (2\/(-6))\/((-2)\/18). Calculate y*r(i) + 4*b(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o + 25, 2*o - 5 = -5*g. Suppose -16*k + g*k = 39. Let w(v) = 2*v**2 - v. Let s be w(-1). Sort -31, s, k in descending order.\nAnswer: s, k, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4140 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*g*s*u**3 - 360*g*s*u - 232782*g*u**3 + g*u - 2*g + 7*s with respect to s.\nAnswer: 183*g*u**3 - 360*g*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 840.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14105 - -34?\nAnswer: -14041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 52, 71, 92?\n\"Answer: o**2 + 14*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y - 5. Let c(u) = 11*u + 11. Let t(p) = 4*c(p) + 9*i(p). Let l be t(0). Is l + (0 + 1)*16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-132)\/(-480))*1\/4*-3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4142139106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074 divided by 3074?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15\/2, -2, -945?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*a**2*v**2 - 2*a**2*v - 100*a*v + 4*v**5 wrt v.\nAnswer: -76*a**2 + 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - 39\/9. Let r be 180 + -1 - (5 + (2 - 5)). Let l(y) = 357 - r - y - 186. What is l(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -7, 2\/19, 1, 24, 4, 0.1 in decreasing order.\nAnswer: 24, 4, 1, 2\/19, 0.1, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-182) + (-40)\/35)\/((-4)\/14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = -5*x - 10, 6 = -7*m + 50*x - 29*x - 24*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = j + 2*k, 7*j - 2*j = -4*k + 105. Let g(w) = -15*w + 8. Let f be g(-4). Calculate the greatest common factor of j and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -705a (base 13) in base 9?\nAnswer: -23171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8424, 8410, 8430, 8496, 8620?\n\"Answer: 2*y**3 + 5*y**2 - 43*y + 8460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2) + (-1435)\/(-1230)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdt when three letters picked without replacement from tgdnfaf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from afaffaa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**2\/2 - 4*r - 6. Let n(c) = -183*c + 2926. Let h be n(16). Let z(v) = v - 4. Let y = -7 + 10. What is h*z(q) + y*d(q)?\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 2*w - 1. Let k be d(-1). Suppose q + 0 = s + 25, -80 = -2*q - k*s. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/7))**(-48)*(x\/(x*x\/((x*x*x**(1\/4)*x)\/x*x*x)))**48 assuming x is positive.\nAnswer: x**(852\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -17. Suppose 4*c = -r*c + 1624. Let i = c - -271. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -16 + (-41 - (41 - 72)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -0.04 (c) -262.8 (d) -0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254737?\nAnswer: 7, 151, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -558798 + -1?\nAnswer: -558799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7*8\/(-224))\/(3\/4548). Let r(x) = 0*x + j - 378 + x. What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3684006*d - 2. Let h(q) = -12*q**2. Calculate k(h(c)).\nAnswer: -44208072*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 2.24769\nAnswer: -0.4270611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 757883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 35075*k - 1265. Let m(p) = -111*p + 4. What is 1265*m(s) + 4*r(s)?\nAnswer: -115*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*r - 2590*r = 29547 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 29921 - 25095 = 15*z for z.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632\/11 or 58?\nAnswer: 632\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 - 45 = 39*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g**2 + 0*g + 0*g**4 + 0*g**6 - 53\/7*g**7 - 13\/3*g**3 + 0*g**5 - 68. What is the third derivative of h(l) wrt l?\nAnswer: -6360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p + 3*p)*(-647*p**2 + 647*p**2 - 1074*p**3) as o*p + y*p**2 + c + b*p**3 + f*p**4 and give f.\nAnswer: -6444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/11 (c) -2 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1248*v**2 + 29*v - 8130. Let l(j) = -125*j**2 - 3*j + 813. Let a(x) = 6*c(x) + 58*l(x). What is the first derivative of a(w) wrt w?\nAnswer: 476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 2}. What is prob of sequence jjb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/420 and -26\/7?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.8 - -28. Let x = -1.2 + y. Which is the third smallest value? (a) -2 (b) x (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677443, -1354881, -2032319?\nAnswer: -2709757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -627, 3\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 42*u - 57*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 6*w + 6*w)*(0 - 3 + 6).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39310 rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 11. Let n(a) = 2*a + 10. Let z(p) = -6*k(p) + 7*n(p). Let u be ((-12)\/(-10))\/(4\/10). Let d(b) = b + 3. What is u*d(l) - 2*z(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - (4 + 1) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and -18680.\nAnswer: -52304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2284 = 3*p, 289 + 1231 = 2*p + 4*z. Does 127 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = -53*p + 63*p + 26*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*t + 22, y - 21 = -3*y + t. Let s be 0*(-1 + (y - 2)). Let n(u) be the second derivative of u**4\/12 + u**3\/6 + 5*u**2\/2 - u. Determine n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36304859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-26)\/(-5))\/(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/35 and -21\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s + 28. Give g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -47.6. Let y = a - 27.6. Let d = 35.99822 + y. What is d rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38469 - -5291.287.\nAnswer: -33177.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -645, 25, -5, -718 in decreasing order.\nAnswer: 25, -5, -645, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**3 - 2*q**2 + 1. Let g be r(1). Let m be ((g\/3)\/(-2))\/(-1). Let d = -3 - -4. Is d less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:18 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 1177412.\nAnswer: 121273436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158751 is divided by 3408?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00881988749 rounded to 4 decimal places?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmmzmmmmzzezemmemww. Give prob of picking 1 z, 2 w, and 1 m.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + l - 78, -4*q - 5*l = q - 120. What is the remainder when 2\/(-13) - 3436\/(-26) is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -12683\nAnswer: 2\/12683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 16*v**2 - 27*v - 13. Let z be k(14). Which is smaller: 5\/48 or z?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -16. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:17 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 7 - 25. What is the smallest common multiple of 11 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - 4 - (1 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f*f**15)\/f*f*f)\/f**(1\/9)*(f*f*f*f**12*f)\/((f*f**(-8\/9)\/f)\/f))**(-3\/16) assuming f is positive.\nAnswer: f**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.01 (b) -1 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 604159*c**2 + 604193*c**2 - 15.\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + m - 15 = r, 0 = 4*m - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*u - 7, 5*a - u + 13 = u. Let x = a - 11. Let v = x + 25. Calculate the smallest common multiple of v and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134074.\nAnswer: 2, 43, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/7)*l**(-1\/4))\/(l\/(l*l**0))**4*(l*l**(2\/17)\/l*l)\/((l*(l*l**7*l)\/l)\/l)*(l**(-2\/3))**(7\/4) assuming l is positive.\nAnswer: l**(-10627\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p + 115. Let b be i(4). Solve b - 17 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 3613, 8241, 14749, 23137, 33405, 45553?\nAnswer: 59581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1762966 and 5668.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*v + 7*v + 8*v**3 + 1896*v**2 - 3.\nAnswer: 8*v**3 + 1896*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c**3 + 0*c)*(0*c**2 + c**2 + 0*c**2) - 2*c**5 + c**3 - c**3.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -149. Let c be 13\/f*5508\/34. Let h = c + -440. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j - 3. Let d(t) = -11*t + 25. Determine x(d(h)).\nAnswer: 88*h - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.4614ng to grams.\nAnswer: 0.0000009984614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00240928 to 5 dps.\nAnswer: -0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 78. Suppose -k - t = -3*k. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 183*r**3 - 79*r**3 - 42*r**3 + 0*r**4 + 11*r + 2*r**2 + r**4 as a*r**4 + o*r**2 + q*r + h*r**3 + g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 5*y**2 - y + 4. Let i = -131 - -128. What is s(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -24. Let w = -5 + y. What is the units digit of 26\/6 + 6\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 0, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llggwwggwlg. Give prob of sequence gwg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/(c*c*c**(-37)*c))\/c))\/c*c*c**(1\/21)*(c*c\/c**(-5\/2))\/(c*(c\/(c*c**(1\/39))*c*c)\/c) assuming c is positive.\nAnswer: c**(-17159\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.89 times 0.02?\nAnswer: -0.1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 10*d + 2. Let x be b(-9). Let p = x + 15. Let q = 33 - p. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -18 + 581 + -573\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27+-14778697425043\nAnswer: -14778697425070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 195*s**2 + 52*s - 54. What is o(-3)?\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h**2 + 11\/4*h**4 + 11 - 14*h + 0*h**3. What is the derivative of c(w) wrt w?\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 11:17 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 2299 = 5285 + 2935 + 606 for b.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309979*u**2*z + 88666*u*z wrt u?\nAnswer: 619958*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.26 or -2\/7?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6993.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -44*u + 42*u - 5*k, -5*u = 4*k + 235. Let f = 58\/15 - 11\/3. Which is the closest to 0? (a) 4 (b) 3 (c) u (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + -14?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + 230200323?\nAnswer: 230200132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l**2. Let x be 60\/8*18\/5. Let y = -27 + x. Let k(v) = y - 1 + 1 + 7*v**2. Give 9*k(q) + 4*s(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*l + 2*l + 876, 0 = 3*l + p - 530. Suppose 7*m + 64 = l. What is the remainder when 59 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19)\/(j**(4\/15)\/j) assuming j is positive.\nAnswer: j**(-274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - (-1 - 15\/6). Solve 0 = -t + c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-5)\/(-90)*-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 2.6. Let p = 0.87 - 0.07. Let m = p - d. Which is the second smallest value? (a) m (b) -1\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 53*b**3\/6 - 5*b**2 - 8*b. What are the prime factors of g(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 1332, 2027?\nAnswer: 2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -3*o. Sort o, 3, 1.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3227031481 = -308*l - 1880224519. Round l to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.08 and -4.\nAnswer: -8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 12*x**3 + 37*x**2 - 42*x + 16.\nAnswer: (x - 8)*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*v - 11, 3*n - 2*v + 6*v = 52. Suppose 0 = 3*c + 3*r + 5 + n, 0 = -2*c - 5*r - 20. What is the tens digit of (-82)\/(-8) - c\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (27\/78)\/(9*434\/(-21)) and -37\/310.\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.9 from -28.3.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 815\/(-2282)*4\/(-10)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z**2 + 2 + 9*z**2 - 16*z**2)*(3*z**2 + 0*z**2 - 4*z**2) to the form n*z**2 + l + t*z**4 + p*z**3 + o*z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53779 is divided by 52996?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.573283l?\nAnswer: 9573.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c46 (base 15) to base 8.\nAnswer: -13775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/9492 and 49\/1130?\nAnswer: 47460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -243 + -36.35.\nAnswer: -279.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 155173323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 (base 11) in base 8?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11742 and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/42 + (-1940)\/2184. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2091157668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (0 - 0)) + -185 + -17 + 238?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/63 or 53?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 32, -4249189 in descending order.\nAnswer: 32, 0.5, -4249189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-4)\/(-180)*5). Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/3))**(7\/4)\/((n*(n\/(n\/n**(-1)))\/n)\/n)**20)\/((n\/(n*n\/n**(-2)*n))**(1\/54))**(-32) assuming n is positive.\nAnswer: n**(2095\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 3. Let a = 3 + j. Suppose -4*m + 9 = 3*o, a*m = -2*o + m + 6. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137953397.\nAnswer: 41, 3364717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a. Let l(q) = 644*q**2 - 10. Give l(m(b)).\nAnswer: 2576*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgssgsssgsssss. Give prob of picking 2 s.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 4*o + 3. Let h be ((-2)\/2)\/(3\/(-6)). Give i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -234064, -467396, -700728, -934060, -1167392?\n\"Answer: -233332*d - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x - 76*x = -4*a + 28, 2*a - 4*x = 40. Calculate the lowest common multiple of 1902 and a.\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**2 - 295*u + 145.\nAnswer: 5*(u - 29)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 663484946 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(1200)*1).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -1165 + 3005. Suppose 42*w - 47*w = -x. Does 50 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1071.548 + -1.548. Let g = j - 587. Let c = 482.99582 - g. Round c to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 - 1998*j**4 + 10047*j**3 - 12090*j**2 - 8028*j + 16104 = 0.\nAnswer: -671, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (135*v - 1538 + 1538)*(-99 + 99 - v) to the form j + r*v + k*v**2 and give k.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 869, 1583, 2191, 2693, 3089?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4 - 274*k + 547*k + 16 - 271*k. Let a be 1\/(7\/8 - 1). Let j be d(a). Solve j = -0*u - u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102.029 - 1.029. Put 3, q, -0.04 in descending order.\nAnswer: q, 3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 + 7*h + 5. Let u be l(-4). Let q(i) = 2 - 3 + 11 + i. Let t be q(u). Solve t*c = 2*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07282 and -5?\nAnswer: 5.07282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 5*g + 0*g)*(-266 + 434 - 287)*(-g + 3 - 3) to the form f*g + l + x*g**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2741 + -0.264. What is m rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47 (b) 1\/3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/10*-1)\/((1616\/520)\/101).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2*f + 5. Let j be (-7)\/(-4*2\/16). Let h(l) = -l + 10. Let z(w) = 3*w - 29. Let c(d) = 14*h(d) + 4*z(d). Let k be c(j). Determine a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*-2*sqrt(10))\/((5*sqrt(90) + sqrt(90))\/sqrt(5)) + -1.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -11. Is ((-1)\/(-2))\/(j\/(-64)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 5)*(-73 - 162 + 108)*(-1 + 1 - 2)*(-p + 1 - 1) in the form j + n*p and give n.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-18)*2*(-15)\/(-20).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 149*j**2 - 89*j + 892. What is m(75)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 45*q. Let n(l) = -4187*l. Calculate -4*n(y) - 371*x(y).\nAnswer: 53*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/17, -4.2, -0.2, -2, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169560?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 9*t - 54. Let p(j) = -j**2 + 18*j - 54. Let w(o) = -3*p(o) + 4*x(o). What is w(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5115 + (-84)\/(6 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 51*o**2 + 26*o + 28. Let v be l(-25). Solve -v - 24 = -9*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + 4*(-4)\/8*(-84)\/(-224).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/7 - (-19)\/57*9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-0.001.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -48*j + 2. Suppose 0 = 19*d - 23*d + 8. Let l be o(d). Let k = l + 239. What are the prime factors of k?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -238 greater than 4\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 6)*(-1 - 2 + 2) - 1 + 23 - 4 + 2 - 1 + 0)*(2*b - 4*b + b)*(-1 - 4 + 3)*(2 - 4 + 0).\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -58*j + 52. Let l(v) = 26*v - 27. Calculate -4*c(r) - 9*l(r).\nAnswer: -2*r + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 9*n**2 - 8*n + 7. Let g(l) = l**2 + l + 1. Let z(q) = 4*g(q) + r(q). Is z(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 2*m - 45. What is the units digit of m + 14 + 1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3885823 to 3 dps.\nAnswer: -0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k**4 - k + (-4 + 4 + k**3)*(-16*k + 26*k - 8*k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*v**4 - v**3 - 25*v**2 - 3*v wrt v?\nAnswer: 4368*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -339.7 and -4419.\nAnswer: 1501134.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2 + 22*z - 204 = 0.\nAnswer: -17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 1, n: 1, i: 1, d: 1, f: 2}. What is prob of sequence xd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3668*n**2 + 3755*n - 1. Determine q(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137214167 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 385*p - 69. What are the prime factors of b(1)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610470120 divided by 15?\nAnswer: -40698008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2744, -5443, -8142?\n\"Answer: -2699*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + p + 223*p**2 - 100*p**2 - 122*p**2 + 2*p**4 + 13 - 6*p**3 to the form u*p**3 + x*p**2 + v*p + i*p**4 + s and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11023664 or -11023662?\nAnswer: -11023664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42394 by -902.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 - 6*d + 3. Let b(g) = g**3 - 3*g**2 + 5*g - 2. What is -5*b(y) - 4*z(y)?\nAnswer: -y**3 - y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 9 - 1\/45*h**6 + 1\/30*h**4 + 0*h + 0*h**2 + 2\/75*h**5 - 2\/45*h**3. What is s in z(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**5 + 167*w**4 + 294*w**3 - 22817*w**2 - 5720*w = 0.\nAnswer: -11, -1\/4, 0, 13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:52 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -5*b + 333. Suppose 0 = -4*t + b - 17. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -705 in 0.05, 0.7, -2\/13, -0.036, 3, -2\/15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 36*d - 37*d + 77*d as y + v*d and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - -0.03. Let y = 568\/5 + -114. What is the nearest to l in -1\/2, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 1, k: 3, o: 1, h: 6}. What is prob of sequence lo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/5 - (-2)\/(-4)*4. Find the third derivative of -1272*l**2 + 5*l**4 - 5*l**4 + 17*l**6 + 1280*l**d wrt l.\nAnswer: 2040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*4 + (-2*sqrt(55)\/sqrt(5))**2 - (sqrt(11) + (-1 + sqrt(11))*-6 + sqrt(11) + (sqrt(77)*1)\/sqrt(7))**2.\nAnswer: -91 + 52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4442200 take away 0.2?\nAnswer: -4442200.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834*f**3 - 2248*f**3 + 834*f**3 + 576*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -8)*(-6)\/15. Let y(x) = x + 0*x**2 + x + 4 + 5*x**2 + 29*x**2. List the prime factors of y(i).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 253*a**2 + 448*a + 13238. Give y(251).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.01 (c) -1\/4 (d) -68 (e) 1\/5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/3))**(-15\/2)*(k\/k**(-4))\/k*k**(-2\/15)\/k*k*(k\/k**(1\/3))**(-2\/9)*(k**(1\/4))**(4\/3) assuming k is positive.\nAnswer: k**(-2281\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = -z, 6*z + x = 3*z + 10. Suppose -3*g = 2*j - 58, z*j = j + 5*g + 90. Suppose 63 - 15 = 4*r. Calculate the remainder when j is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 > -3\/7519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - j - 6653 = 4*j - 6694, 5*j + 0*j = 10*w + 65 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 19*a - 3*a = 0. Solve a = -17*r + 1 + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 28*l + 24. Let o(n) = 25*n + 24. Let v(w) = -5*o(w) + 6*y(w). Let j be v(-4). Is j less than or equal to -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/9537)\/((-42)\/(-231)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43186 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4616 times -0.9\nAnswer: -4154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 32*d - 33*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Let j be (-1)\/(-2)*y\/7. Solve 0 = 2*p + 2*i, j*p + p - 3*i - 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 13*z**2 + 12*z + 10. Does 10 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, b: 1, u: 3, k: 1, a: 4, i: 2}. Give prob of picking 3 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-16))\/(1\/((-48)\/(-55))). Let b = n - -2\/11. Find a, given that b*a**2 + 0*a + 2\/5*a**3 + 0 - 2\/5*a**4 - 2\/5*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128069 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b**(-6)*b*b*b)*b))\/b)\/b)\/(b**(1\/4)\/b))\/(b**0\/b)**34*((b\/(b*b**(-2\/11)\/b))\/(b*b*b**4))**(22\/7) assuming b is positive.\nAnswer: b**(381\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) - (-1396)\/(-8). What are the prime factors of (m\/(-10))\/((-1)\/(-2))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1331 + 72\/(-48)*(-20)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -148128 and -14.\nAnswer: -148142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44.59 from 4123952768.\nAnswer: 4123952723.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -35.\nAnswer: -153\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/4 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -128844, -257703, -386570, -515445, -644328?\n\"Answer: -4*y**2 - 128847*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4 - 2 + j + 0*j. Calculate r(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9 + 23)\/2 - -1480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 122, 240, 362, 488, 618, 752?\n\"Answer: 2*w**2 + 112*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(605) + (1*2*sqrt(605) - sqrt(605)) - (sqrt(605) + 2 - sqrt(605) - sqrt(605))*-2)*-3)**2.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-13\/5)*a)\/a**5 assuming a is positive.\nAnswer: a**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 13*j + 14)*(2*j + 2 - j - 1)*(1 - 6 + 2 + (-2 - 3 + 4)*(1 + 1 - 3) + 4 - 1 + 0).\nAnswer: 13*j**2 + 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Calculate the least common multiple of ((-189)\/35 - -6)\/(21\/245) and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43867920 divided by 16?\nAnswer: 2741745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Find the third derivative of 2*v**2 + v**i + v**3 + 2*v**3 + v**3 wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.593 - 6.4. Let i = d - 0.41. Let b = i - -0.21699861. Round b to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 - -264. What is the nearest to -0.2 in 2, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -34. Let n = m - 19.9999983. What is n rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 7*w**2 - 3 + 0*w**3 + w**3 + 0*w. Is x(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 34 + 0 + -1. Suppose 5*q = 159 + s. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 3. Let q = 297 + -294. Let f(m) = m - 1. What is q*f(g) - k(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -516 (b) 1.8 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10806 + 19653 = 3*o - 2*w, 5*o - 50791 = -w. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -423059127605.\nAnswer: -423059127603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 613957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j. Let q(h) = -1. Let z(l) = -i(l) + q(l). Suppose -3*c + 2 = -5*y + 24, y - 1 = 4*c. List the prime factors of z(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153532*k**2 - 273*k - 190065105 with respect to k.\nAnswer: -307064*k - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1692\/7 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/35)*x*x*(x\/(x**(-33)\/x*x)*x)\/x*x)\/(x**7)**(-11) assuming x is positive.\nAnswer: x**(3994\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 24*u**2 - u - 50. Let w be r(23). Let y = w + 1176. What are the prime factors of y?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + 0.7. Let t = w + -4. Which is smaller: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 - 5*n + 83. Let i(b) = -5*b**2 + 3*b - 42. Let p(c) = -11*i(c) - 6*y(c). Let h be p(8). Solve -h*a = 2*q - 8*a + 18, 5*q - 5*a + 30 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2679*p = -5*t + 2705*p + 66, 0 = 2*p + 4 - 2 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 82?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*o - 20777 + 25237 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**2 + 3*z - 9. Let l be v(7). What is the remainder when -100 + 100 + 157\/2*2 is divided by 1\/(l\/128 - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 10. Let h be j(0). Suppose 2*q + h = 4, -54 = -3*r - 2*q. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/22)\/(-2) - (4721916\/1439339 - 3). Is 0 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 115. Let n(o) = 2*o**2 - 20*o - 3. What is the units digit of n(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*h = 12, -6*h = -2*r - 4 + 28 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 6*n - 4. Let x be w(-3). Let r(z) = -z**3 + 5*z**2 + z. Let j be r(x). Let p = 13 - j. What is the remainder when 31 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10 + 1)*(-353*q - 533*q - 283*q + 152*q).\nAnswer: -7119*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1263 + 2393. Round q to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 418*b + 6300. Let k be v(12). Calculate the greatest common factor of 552 and k.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8515 - -1.0298. Let w = -22.9 + 20.04. Let h = q + w. What is h rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -595*q + 3836. What is z(6)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/5 - 14206*z**2\/5 + 4898720*z + 2620829608\/5 = 0. What is z?\nAnswer: -101, 3602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5486)\/(-36714))\/(65\/90)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -301a48 (base 13) to base 9\nAnswer: -2083328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128949 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 - 137*g - 5*g**3 + 5*g**3 - 5 + 131*g. Give y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/5 (b) -0.5 (c) 98.55 (d) 2.2 (e) 1 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -3 - -67)*(-7 - -6)\/(-3). Let q(m) be the first derivative of w - 1\/7*m**2 + 10\/21*m**3 - 2\/7*m - 3\/14*m**4. Solve q(v) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47, -66, -111, -194, -327, -522, -791?\n\"Answer: -2*c**3 - c**2 - 2*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169331 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 373*j**2 + 2*j + 4. Let d(z) = -206271*z**2 - 1107*z - 2214. What is -2*d(b) - 1107*t(b)?\nAnswer: -369*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -5 (c) -3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -133, -185?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 2*k**4 - 5*k**4 + (0*k**2 - k**2 + 2*k**2)*(-3*k - k**2 + 3*k) + 20*k**4 - k**4 + 7*k**4.\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 18164 and 18163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251.02101 months to centuries.\nAnswer: 0.209184175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381738556 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*u - 5*w, 2 = -3*w - 1. Are u and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 721*o**2 - 3*o + 2. Is 87 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 4*r. Let y be (6\/r)\/(5\/(-200)). Calculate the common denominator of -103\/6 and 395\/16*24\/y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1.58, -0.1 in ascending order.\nAnswer: -0.1, 1.58, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.93*-1.3\nAnswer: 1.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 - 2*o**4\/3 + 7*o**3\/3 + 11*o**2\/2 + 14*o. Is m(7) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11020000 + 232?\nAnswer: 11020232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 18*j + 40. Let s be f(22). Let x = s - -51. Suppose 3*p - 4 - 5 = 0. Calculate the smallest common multiple of x and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34227 and 30424?\nAnswer: 273816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -396221 + 567244. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.0299?\nAnswer: -0.01495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {e: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, -5, 0, 0.2, 11\/6, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 41*w - 1. Let z be a(1). Suppose -u = -460 - 194. Let d = u + -614. What is the highest common divisor of z and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 10*k + 50. Let s be a(8). Suppose 2*t + 28 = 2*o, 2*o = -3*t + 2*t + s. What is the highest common factor of 240 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 3, z: 2, j: 5, p: 1}. What is prob of sequence jj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 2*d**2 + 54*d - 144*d + 90*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2124 = 3*g, -g = x + 4*g + 728. Let j = -7719\/11 - x. Is 0 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3805245583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*3*(-1)\/3. Suppose 2 = -q, y = -a*y - q + 374. Is 44 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209040, 208969, 208850, 208683, 208468?\n\"Answer: -24*l**2 + l + 209063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5843*3.2\nAnswer: 18697.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53953642 is divided by 2454?\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 51*p + 526. Let y be g(-10). Let l(o) = o. Let i be l(4). Solve 0 = i*t + y, f = 3*f - t + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 23*w**2 - 32*w + 56. Determine o(13).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/((-12)\/(-4)) + 3. Suppose -4*q = -c*q. Solve -4*t + q + 12 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146108627 and -0.5?\nAnswer: -73054313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/6))**(-12)*(m**(1\/4))**(-18))**16 assuming m is positive.\nAnswer: m**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-5)\/((-5)\/4). Let j = -5 + z. Suppose j*a + 24 = 3*a - 3*n, 3*a + 5*n = 64. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:43 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m + 393. Let f be w(-24). Suppose f = -7*v + 44. Solve 2*l + 4*d - 11 - 3 = 0, v*l + 3*d = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12 - l - 1 - 6. Let t(f) be the first derivative of -f**2 + 6*f + 4. Calculate -3*t(y) + 4*w(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 118*k**3 + 6*k**2 + 6*k - 7. Let v(c) = 117*c**3 + 5*c**2 + 5*c - 5. Determine -5*b(w) + 6*v(w).\nAnswer: 112*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23808106 (base 9) to base 4.\nAnswer: 230121130230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**3 + d + 3. Let y(k) = 17*k**3 + k**2 + k + 6. Let n(z) = -5*w(z) + 2*y(z). Let g be (-3)\/(-6)*(-5 - -1). What are the prime factors of n(g)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Let n be (-6)\/(-264)*8 - 218\/(-11). Solve 4*a - y + k = 3*a, -3*y = -4*a - n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 3, -25150, 0 in increasing order.\nAnswer: -25150, 0, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -7 + 3)\/((-1)\/(-12)). Solve -38*k + n*k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3777237219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 239076.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 2. Let m = i + 236. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = i + w, -33*w = 5*i - 31*w - 40 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-120)\/(-118) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12484 + -107130109.\nAnswer: -107117625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i + 1 + i**2 - 2 - 3 + 9. What is k(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:09 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d7499 (base 16) in base 6?\nAnswer: 335135025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) -4 (c) 5 (d) 214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*k - 484*k = -19620. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 5. Let f be 22\/8 + 2\/8. Suppose 0 = -f*v + 9, 2*n - v - 63 = -n. What is the remainder when n is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 981824*j**2 + 1963636*j - 981816.\nAnswer: 4*(j - 245454)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 26. Calculate the remainder when 32 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 247218010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111872, -445509, -1000908, -1778069, -2776992, -3997677, -5440124?\nAnswer: -7104333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5513 + 5994. What is the highest common divisor of f and 777?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (79\/15 - (-52)\/130)*6. Which is greater: f or -35?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*h**4 + 164981*h**3 - 5*h**2 + 52418549*h.\nAnswer: 1080*h**2 + 989886*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8914 and 1274.1.\nAnswer: 1273.2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35014 (base 7) in base 13?\nAnswer: -40ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnu when three letters picked without replacement from {u: 2, n: 6, i: 2, z: 1, g: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274988?\nAnswer: 2, 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1*17\/(-9) - 2). Calculate the highest common factor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:11 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1847 - 913. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.2 * -1.9.\nAnswer: -199.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 1241, 1874, 2507, 3140?\nAnswer: 3773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:38 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x - x - 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*32\/(-68)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 > 1115\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, -118, -463, -1126, -2209, -3814?\n\"Answer: -17*u**3 - 6*u**2 + 8*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 390528473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 15. Does 5 divide b(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevfeppd. Give prob of sequence vf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 4\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.031 + -0.047. What is w rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370 + -373. Let u = 10.5 - 10. Let o = u + -0.6. What is the nearest to o in 4, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43586900 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 382.3837 litres?\nAnswer: 382383.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406 and 2016.\nAnswer: 58464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/54 and -28\/9045?\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 240118071 to the power of 1\/2, to the nearest integer?\nAnswer: 15496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -381, 5, -5 in ascending order.\nAnswer: -381, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.509241 years?\nAnswer: 0.007509241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800 + 793 - 1591 + 8*i - i.\nAnswer: 7*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 4577786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 s when four letters picked without replacement from {b: 10, s: 2, g: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*w = 4*q - 7, -4*w + 10 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/9 - (-14)\/63) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-8) + (-3 - -4). Let n = 0.067 - 0.052. Let p = 0.085 + n. What is the nearest to p in 3\/4, j, -1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (43 - 50)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from pkktlaaaaattatt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:38 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5\/3 + 185360*k**4 - 1668262*k**3\/3 - 370716*k**2 + 6673016*k\/3 - 1482896 = 0.\nAnswer: -278043, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/2155039?\nAnswer: -7\/2155039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6702261*s + 6702261*s - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*h = -2*h - 71, 3*h = -5*s + 63. Solve 102*x - 783 = s*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - -5 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/5)*c**(5\/2))\/(c*c*c**(-1))**(3\/35))\/((c**(-1))**(-17))**(-1\/21) assuming c is positive.\nAnswer: c**(169\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16965 + 34734. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (-1 + -7))*-4. Solve -4*v + 3*i = -17, -7 = -a*v - 2*i - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009324 to 4 dps.\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 643222479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9880985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*1*-2)\/sqrt(7))\/(sqrt(189)\/(sqrt(35)\/sqrt(5))).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 2 - f - 1. Let j(s) = 3*s + 3. Let b(c) = 3*j(c) + 2*u(c). What is the remainder when b(6) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 294.001144. What is g rounded to 5 dps?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 5\/14 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135300)\/15785)\/((-10)\/(-28))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 721.1 + -721.10012127. Round r to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:51 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hlhlhl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*f + 24, -23*n + 19*n = 8. Solve 0 = 10*o - 6*o + 5*j - 7, 4 = -f*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a**2 + a + 1. Suppose -15*m - 18 = -12*m. Let l(w) = -4*w**3 + 6*w**2 - 6*w - 6. Determine m*t(o) - l(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26 and 1.6.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14306917*b - 14306908*b + 42920744*b - 14306919*b + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, -63, -471, -1307, -2715, -4839, -7823?\n\"Answer: -24*z**3 + 2*z**2 + 38*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 7857850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30*14\/(-140)*11\/3 - 52\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-18\/7)*c\/(c*c**(-11\/5)*c) assuming c is positive.\nAnswer: c**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31121 (base 4) to base 8\nAnswer: -1531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4886418 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + 11 + (1 - (-3 + -30))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0807 - -0.1807. Which is the third smallest value? (a) -0.4 (b) v (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000202 (base 4) to base 16\nAnswer: -4022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + o + o**2 - 63 as s + u*o + t*o**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b357 - -1?\nAnswer: -3b356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 1 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 0, -4\/9, 5, -2\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 5.8.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 2*v + v - v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*u - 14 - 6 = 0, -3*u + 16 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c - 328ee8?\nAnswer: -328f54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + 3*y**2\/2 + 2*y - 17. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*o - 12, 4*o - i = i - 4. Let s(f) = 52*f**3 + 2*f**2 - f - 1. What is the tens digit of s(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(3146)*1*4 - sqrt(3146))\/((sqrt(162)\/sqrt(3))\/sqrt(3)) + -5)**2.\nAnswer: -66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104052 and 2.\nAnswer: 208104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(144)\/sqrt(3))\/sqrt(2))\/(2*sqrt(1452)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3, 2*h + 11 = 3*f + 4. Let j be ((-2)\/(-3))\/(h\/(-42)). What is the units digit of (j + 0)*(-78)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/3 - 11462*b**3 + 57348*b**2 + 1100744*b\/3 + 412752 = 0.\nAnswer: -17198, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:35 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 78 and -624.09.\nAnswer: -546.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -392636 divided by -412?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.7? (a) -2\/25 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = 3*r - 624. Suppose -12 + r = u. Solve -10 + 18 = u*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*n + 2*a + 7 = -152*n, 8 = -2*n - 5*a + 19 + 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/((s**(-3\/2)*s)\/s))*s\/s**(-17))**(-33))**(2\/49))**(2\/15) assuming s is positive.\nAnswer: s**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 259229.589 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 5*b + 17, 0 = -2*p + 3*b - 11. Suppose 0 = -4*q - 2 + 10. Let x(o) = -o**q - 4 + 2*o**2 + 2. What is x(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 2077*l**2 - 3974*l**2 + 1898*l**2 + 9*l**4 + 4 in the form i + z*l**3 + s*l**4 + h*l**2 + r*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 6, o: 3, g: 1, w: 1}. Give prob of sequence kok.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -21 - 9 - 60, 0 = -11*p + 10*p - 5*o - 88 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79\/((-14852)\/6627))\/(1*6\/8).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354393083 to the nearest integer?\nAnswer: 18825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -24*x**4 + 2*x - 3728. Let n(l) = 13*l. Give n(y(u)).\nAnswer: -3744*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113465575\/3 or -37821857?\nAnswer: -37821857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899 + -1859 - (4 - -77)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76139, 152277, 228415, 304553, 380691?\nAnswer: 456829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttmttfttftftftt. Give prob of sequence mt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 17}. What is prob of picking 4 m?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 170*n - 269. Let p be r(39). Calculate the greatest common factor of 176 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/2*12\/(-9). Suppose 1 + 13 = 2*t + 5*m, -g = -2*t - m. Is 8 a factor of (-11)\/2*(t + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -3, -16, 2, 9\/5, -0.35, -0.05?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 38 = 5*i - 26, 0 = -3*b - 3. Calculate the smallest common multiple of (-11 + 1)*i\/(-15) and (-4 - (-130)\/45)*-9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12982 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 + 73*y + 18. Calculate the remainder when d(11) is divided by 82.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-36))\/(38\/(26 + (-288)\/9)).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -297, -8, 0.3, -0.3 in descending order.\nAnswer: 0.3, -0.3, -8, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 26*k - 82. Let i be h(22). Solve -2*t = -4*u, -3*u - 20 = 5*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2 - 26*f**2 - 41*f**4 + 18*f**4 wrt f?\nAnswer: -552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43017*v - 2912025 = 1690794 for v.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 2\/3 (c) -2 (d) 0.0094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + (-4 - -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2802 or 2797?\nAnswer: 2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3040078, 3040076, 3040074, 3040072, 3040070?\n\"Answer: -2*n + 3040080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + 2. Suppose -94 = -5*i - 4*t, -56 = -3*i - 5*t + 3*t. Suppose 0 = -4*g + 6 + i. Suppose 0*k - g = -3*k. Determine w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301 - 306 - 306 - 71*i + 923 to w*i + j and give w.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/594?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*b - 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18778068 and -0.4?\nAnswer: -7511227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3433276 = -3432981 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100101000 (base 2) in base 16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:43 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 503 (c) -1 (d) 2\/7275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*b = -252*b + 20. Let h = -0.15 + 8.15. Sort b, 2\/7, h in decreasing order.\nAnswer: h, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Suppose 3*x - x + 2*k = 72, 5*x = 5*k + 220. Let c be (30\/x)\/((-1)\/(-268)). Let v(y) = -224*y + 3 + c*y - 4. Give a(v(o)).\nAnswer: 1058*o**2 + 92*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1893584 - 6?\nAnswer: 189357a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 + 1. Let h be x(0). Are h and 14\/69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -580 divided by -1\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 1569904?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264)*-2 - sqrt(264)) + sqrt(264))\/sqrt(11)*-1)\/(2*(sqrt(128) + (sqrt(128) - sqrt(128)*1) + sqrt(128))).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:40 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200001033201 (base 4) to base 12.\nAnswer: -2989569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999858?\nAnswer: 2, 7, 211, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1. Let k(r) = r + 2. Let v(x) = x**2 - 3*x - 6. Let a be v(5). Calculate a*f(s) - k(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1008 = 10*m. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.74022km to nanometers.\nAnswer: 7740220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8972529531 to the power of 1\/5, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132779 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020385 to five decimal places.\nAnswer: -0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 21384154*m**2.\nAnswer: -21384154*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-461)\/1383)\/(-11 + 6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q + 13. Let s be d(0). Suppose -5*r - s + 33 = 0. Solve -4*y**5 + y + 3*y**3 + 4*y**4 + 0*y**4 + 0*y**2 - r*y**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 283208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -13660 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*f - 38, -2*f - 4*u + 0*u = -20. Let y be (0 + -10)\/((-27)\/81). Let i be f*35\/y*9. Calculate the highest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-712)\/(-890))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**5\/15 - 2*k**3\/3 - 2*k**2\/3 + 134. Suppose j(m) = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 3*z**4 - z**4 + z**4 - 3*z**4 + 3*z**4 + (z + 2*z - 4*z)*(-3*z**3 - z**3 + 2*z**3) + 0 + 0 - z**4 + 4*z**4 + 3*z**4 - 3*z**4.\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 425 + -322.5. Let w = -102 + r. Which is smaller: 2\/59 or w?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)*v*(v*(v*v**(-2))\/v)\/v*v*(v**(-1\/4)*v*v)**(-16)*v\/(((v*v**4*v*v)\/v)\/v)*v*v**(2\/25)*v\/v**(-3)*v*v**(1\/10)\/v*v assuming v is positive.\nAnswer: v**(-21847\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 3*r**5\/20 - 3*r**3\/2 + 3*r**2 - 42*r. Factor t(u).\nAnswer: 3*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 43*a + 27. Is t(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(7 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.45 - -0.55. Let x = -4.8673 - 36.1281. Let o = x + r. Round o to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r - 24. Suppose 64 = 5*t + 14. Suppose i = u - t, 0 = -2*i + u + 11 - 36. Calculate the remainder when x(i) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 14, 9*z = -4*a + 10*z + 23. Solve -5*r - 35 = 3*j, -a*j = -3*r + 7*r + 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Let a(l) = 966*l. Calculate a(j(n)).\nAnswer: 966*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:24 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -28*z - 87. Let v be y(-14). Let b = v + -303. Let f(t) = -2*t**3 - 2*t**2 + t - 2. Let s be f(-2). Solve q + 2*w + s = -b*w, -4*w = -q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*q = -152, 3*n - 2*n + 4*q - 74 = 0. Let k be 2\/3 - n\/(-18). Find the third derivative of -j**5 + k*j**5 + 3*j**2 - j**5 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-18351.88\nAnswer: -73407.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 17*s**2 + 7*s + 44. What is i(-15)?\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12711076 bigger than -12711076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 10*s + 11. Let j be c(5). Let x = j - -26. Let z(w) be the first derivative of -w**4\/4 - 1. Let r(n) = 10*n**3 - 2*n. Calculate x*z(i) + r(i).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose 3*c - 231 = -r*j - 21, 4*c = 2*j - 224. Suppose -4*l - 24 = -2*s, 2*s - 32 + 8 = -4*l. What is the highest common divisor of j and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 3*b**5 + 0*b + (-2*b + 0*b + 0*b)*(-6*b**4 + 3*b**4 + 6*b**4).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 820 + -820.05. Which is the biggest value? (a) x (b) 5 (c) -1\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -30*m**3 + 8*m**2 + 21*m + 1. Is y(-2) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -669*h**3*u**2 - 8*h**3 + 2*h**2*u + 5*u wrt u.\nAnswer: -1338*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Put 0.3, b, -0.1 in decreasing order.\nAnswer: b, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 31944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -759609, -759620, -759631, -759642, -759653?\n\"Answer: -11*k - 759598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4411 - 4313. Suppose -6*q = -q + 65. Let g = q + b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-11) - 27*((-992)\/24 - -19 - -22)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1.0487 (c) -5\/3 (d) -4\/11 (e) 0 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219108*r**3 + 467*r + 442588*r**3 - 220743*r**3 wrt r?\nAnswer: 16422*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 70*h**4 + 3105*h**3 - 12685*h**2 - 21510*h - 7200 = 0?\nAnswer: -48, -6\/7, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7407\/20 or 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/5)*t)\/t)\/t)**(-29) assuming t is positive.\nAnswer: t**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 2*w - 1. Let i(o) = -o**2 - 10*o - 10. Let b be i(-9). What is the remainder when 19 is divided by v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) -17 (c) 0 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1472, 5745, 12822, 22703, 35388, 50877?\n\"Answer: 1402*h**2 + 67*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - 0.2. Let f = b - -0.5. Put -2, f, -3\/4 in ascending order.\nAnswer: -2, -3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(2\/16). Let v be 19\/(-3) + y\/(-24). Is -7 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -303?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -395.81014 - -0.04014. What is c rounded to the nearest integer?\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*35\/63*1*10\/(-3325)?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Suppose 58 = 10*i - 32. Suppose 65 = 4*v + i*v. Let a(h) = -3*h + 6*h - v*h. What is a(g(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (20 - 78) - -30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -230?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 21?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2435637 (base 12) to base 14\nAnswer: -d13375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 10:31 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 2*t + 0*t + (-1 - 1 - 3)*(3 - 2*t - 3).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/785200 and 69\/56?\nAnswer: 5496400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-837)\/12)\/((-12)\/(-32)). Let s = y + 360. Suppose -3*x + 156 + s = 0. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315254?\nAnswer: 2, 1157627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232193778?\nAnswer: 2, 3, 29, 1021, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.064 - 0.395. Let v = -33.669 + x. What is the second biggest value in 3, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 10. Let b be s(-3). Suppose -k - 2*t + 10 = 0, 3*k = 2*k + 3*t + 35. Suppose b*v - v = k. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 + 210. Suppose 11 = -2*z + v + 55, 3*z - q = -v. Suppose 4*h - 32 = -2*r, 0 = -2*h - 0*r - 3*r + 12. What is the remainder when z is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:02 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 10:04 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -8.5. Let r = a - -7.8. What is the closest to 2 in -4, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 12*l + 5. Let z be s(-4). Solve 3*c + z = k, -2*c = 2*k + 2*k + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 23*x**2 - x**2 + 1 + 0*x + 2*x. Let s be b(-1). Let p be 5\/(-3)*(-6)\/2. Solve -h = -5*d - s, -4*h + p*d = -3 - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966541110 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073528 to seven decimal places.\nAnswer: 0.0000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 6*c + 4. Let q(g) = 5 + 4*g**2 - 7*g - g**2 - g**2. Let b(j) = 5*k(j) - 4*q(j). Calculate b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/23 + 56*d**2\/23 + 50*d\/23 - 108\/23 = 0. Calculate d.\nAnswer: -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -750*d**2 + 9*d**3 + 751*d**2 + 1 - 3 + 1 as b*d**2 + y*d + w*d**3 + f and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.089 + -52.911. Let p = 50 + a. Let l = 1.35 + -1.05. What is the nearest to 0 in -0.2, p, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-540) + 22684\/72. Calculate the highest common factor of p and 2385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {m: 1, e: 2, h: 6, r: 1, t: 8}.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 36*h**2 - 3671*h + 142379. Determine q(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9193 is divided by 2161?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/2, -88\/13, -5 in decreasing order.\nAnswer: -5, -13\/2, -88\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzee when four letters picked without replacement from ezeozzeozzboezze?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*l - 12. Suppose 12 = 5*x - 2*r, -4*x + 33 = l*r + 9. Solve 4*a - x = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*k + 224325 = 80*k - 11430. What is the greatest common factor of 1989 and k?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.039 + -0.081. What is y rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/68 and 125\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - b - 2, 4*w + 3*b = -0*w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**3 - f**2 + 1. Let k be i(-1). Let b be 33\/(-5) + (-4)\/k. Calculate the common denominator of (-2)\/b + 159\/154 and 151\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + 112?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a - 2*a, -4*k = 5*a - 31. Let c(b) be the first derivative of 2*b**k + 5 - 2\/3*b**3 - 6\/5*b**5 + 0*b + 0*b**2. Suppose c(m) = 0. What is m?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*n + 12. What is the derivative of -1 + 8*a + 3 + n + 3 wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68.47 and 16606361501.\nAnswer: 16606361569.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 6*m - 3. Let z be j(-7). Let n be 2\/(-12)*(z + 6). Suppose 5*t + 3*y + 1 = 0, -3*t = -0*t + 2*y + 1. Do t and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6571\/48 - 409\/3. Let p = -182 + 4051\/22. Calculate the common denominator of p and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/22 and -137\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9547, -9568, -9589, -9610, -9631, -9652?\n\"Answer: -21*i - 9526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173689127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4 + 36*l**3 + 36*l**2 - 164*l - 168 = 0.\nAnswer: -7, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 6*p**2 + 0 - 1\/3*p**4 + 0*p + 1\/6*p**3. Differentiate y(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 + 2534*s**2 + 22879*s + 20344 = 0 for s.\nAnswer: -8, -1, 2543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/5 + 0 + 38\/10. Solve 11 = g*x + 2*j, -j = -3*x - x + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/5*((-35)\/7 - 0). Suppose -s - 1 = -3*c. Suppose 0 = -c*o - 10 + 49. Solve 2*v - o = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2*w**2 + 6*w**2)*(0 - 4 - 2 + (3 - 2 - 3)*(0 + 2 - 4) - 4 + 0 + 3).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:57 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/8 + 5*z**3 + 399*z**2\/8 - 5*z - 50 = 0. Calculate z.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.36 to the nearest integer.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680223 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -9*y**5\/20 - y**2\/2 - y. Suppose -305*o + 833*o - 808 = -280*o. Give h(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 - 77. Let o be (0 + (0 - 1))*(10 + -32). What is the greatest common divisor of f and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - a)*(1028 + 1225 - 750)*(-a**2 - a**2 + 4*a**2) as n + s*a**3 + g*a + m*a**2 and give s.\nAnswer: 6012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/3 - 13*x**2\/2 + 3*x - 2. Let y(u) = -7*u + 2. Let a be -1 - (-2*3)\/1. Let d(t) = a*y(t) - 3*k(t). Factor d(z).\nAnswer: (z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 64. Calculate t(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 - a - 1. Let l be 1*((-1 - -4) + -2). Let o(x) = -x**3 - x**2 - x - 1. What is l*r(s) - o(s)?\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 18*k**2 + 29*k - 183. Let r be b(19). Solve -5*t = 5*j - 5, j + 2*j + r = -t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -16. Suppose 3*y + 3*z = 228, z = 2*z - p. Let v = y - 57. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 31 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/36 and -93\/1636574.\nAnswer: 29458332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 37. Solve -2*q + z = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 12) to base 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710 = 53*v - 10420. Calculate the least common multiple of 21 and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5*(-60)\/24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 238029792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((50\/(-15))\/(-5))\/((-2)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 291 + -291.00000239. Round n to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 + i - 1. Let p(d) = -4*d**3 + 5*d**2 - 5*d + 5. Let w = 32 - -61. Let l = w - 94. Determine l*p(k) - 5*f(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 51*j - 51*j - 24*j**2 + 4*j**2 to the form o*j**2 + x*j + a and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u + 10*u - 67*u + 25*u + 14*u. Let k(i) = -i + 2*i**2 + i. What is k(o(v))?\nAnswer: 98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 256 = 5*c. Let s = -18083\/11358 - 12\/631. Find the common denominator of (12\/c)\/((-12)\/106) and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 - 28923408*s**3 + 104570383444976*s**2 + 418281880860864*s + 418281996554528 = 0. What is s?\nAnswer: -2, 7230854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/6, -5 in descending order.\nAnswer: 3, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2464*a + 48 = 2468*a, -y = 2*a + 16 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5695155 and 20140?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 - 1 = 2*m, 4*m = 3*w - 20. What is the closest to m in -2, -2\/5, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 - 5*w**2 + 10*w**4 - w**3 - w**3 to k*w**3 + r + i*w**2 + d*w + g*w**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010111010 (base 2) in base 14?\nAnswer: -26ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*u**3 + 687*u**3 - 339*u**3 - u + u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 10*m**3 - 25*m**2 - 415*m - 200 = 0.\nAnswer: -5, -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.6 (c) 2\/13 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 12\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-8) + (-33)\/(-6). Suppose i*z = 10*z - 21. Determine f, given that 2*f**4 - 2 - 2*f**2 - 4*f**2 - 3*f**4 + 5*f**3 - 3*f**2 + z*f = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23 + 8\/(40\/(-35)). Suppose 0 = -t*h + 19*h - 354. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 2. Let w be l(4). Suppose 2*r - 518 = -4*u, -w*u - 349 = -2*r + 163. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 937139, 1874527, 2811915?\n\"Answer: 937388*y - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (16 + -2 + -7 - 44).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-26 + 14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -499*l**3\/3 - 9*l**2\/2 - 11*l. Is b(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a = 5. Let r be 30 + -25 + 2\/(a*2). Suppose 5*n = r*c - 8 - 49, -3*c + 60 = 2*n. Calculate the remainder when 50 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 19*s - 1. Let r(q) = 20*q - 1. Let j = -22773 - -22779. Give j*r(y) - 5*z(y).\nAnswer: 25*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*d**4 - 5*d**3 - 240*d**4 - 8 + 503*d**4 + 5*d**3 - 2*d**3 to the form f*d**4 + g*d**2 + t + l*d + j*d**3 and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.394 + -0.094. Put -3\/5, -4, c, 2\/15 in descending order.\nAnswer: c, 2\/15, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2. Let r = 1 - 0. Let c = -137 + 146. Let k(y) = -r + 1 - c*y + 14*y. What is s(k(p))?\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - -0.85. What is the closest to z in -2\/11, -1, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(1 - (-38)\/14). Suppose 3*l - 28 = 3*a + i, -2*a + 62 = 5*l. Suppose l + 10 = 4*y. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-40) + (-498)\/8. Let z = p - -68. Solve 0 = -z*w + 2*u - 35, 4*w + 0 + 5 = -3*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.466 - -1186109412465\nAnswer: 1186109412464.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeemjejjve. What is prob of sequence ve?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9809 or -107908\/11?\nAnswer: -107908\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1050 = 4*n - 4*m, -543 = -2*n - 5*m. Suppose n = 3*o - 282. Let y = 272 - o. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 795\/(-397) + 1. Let t = 5149\/4764 - q. Let y = -5\/6 + t. Is 0 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*a - 6 = 0, 5*l = l + 5*a + 3. Let x(f) = -f + 6. Let v be x(l). Is 2 - (0 + v + -17) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqnnnqnqnqonq. Give prob of picking 1 n and 2 q.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 173, 177, 177, 173, 165?\n\"Answer: -2*x**2 + 10*x + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqgmisqma. Give prob of sequence smm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 45 + -14 + 0 + -4 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Let i(r) = 3*r. Let t(c) = -40*c. Let j(d) = -42*i(d) - 3*t(d). Determine j(k(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 - 1 = 0. Let j = 22 - 4. Suppose 8 = -4*h + 3*c, 4*h - 5*c + j = 2. Solve -l - h = 0, -w = -z + 2*l - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 17220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 10, 2*m + 80 - 31 = v. Suppose 7*g - 22*g - v = 0. What is the hundreds digit of (1 + 0\/g)\/((-1)\/(-275))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. What is the derivative of 2 - 3 + p + 4*m + 0*m wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150 - 3907*s - 14*s**2 - 86 + 3889*s wrt s.\nAnswer: -28*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0285143 - -0.0285143. Let t be (-16)\/6*1\/6. Which is the nearest to z? (a) 3\/7 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(36)*-1)\/sqrt(4) - sqrt(9))\/((sqrt(75)\/sqrt(5))\/sqrt(5) + sqrt(3))*-1 + 1 + 1)*4)**2.\nAnswer: 64*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101212200022 (base 3) in base 4?\nAnswer: 2312000330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:53 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -4*g + 3*m - 33, -30 = 3*g + 4*m for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3be + -14?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 564 and 2127.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j. Let k(q) = 379403*q. What is o(k(p))?\nAnswer: -3414627*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 2*d**2 + 3*d + 4. Let b be s(3). Suppose -b*n + 60 = -n. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7572)\/(-311714)*13*(5\/(-2))\/(-5)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 2*w**4 - w**4 + (-3*w + 3*w + w**4)*(2 + 0 - 1) + w**4 - 2*w**4 - 9*w**4.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 7. Suppose -y - 9 = -5*n - 2, 4*n = 5*y + 35. Let q = z + y. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 4*y**5\/5 + 27*y**4 + 104*y**3\/3 - 2711. Factor q(o).\nAnswer: 4*o**2*(o + 1)*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19700046 by -9850023.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/20 + -17\/5. Which is the fourth smallest value? (a) 0.1 (b) -3 (c) v (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.329087216 to three dps.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 845269037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28574*i**3 - i**2 - 3101*i?\nAnswer: -171444*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 20*o + 9. Suppose -2*n - 16 = -2*g, -n - 4*g - 22 = 4*n. Let i(a) = 7*a + 3. Let r(c) = n*p(c) + 17*i(c). Determine r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z - 5*z + 6*z)*(2 + 4 - 1) as j + s*z and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 485. Let n be w(0). Let p = 916 + n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63\/391 - 1\/23. Sort 2, h, -5 in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 6. Let o(r) = 1. Determine -2*o(g) + p(g).\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - 6. Let h = u + 3.6. Let x = -16.23 - h. What is x rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 34644*n\/7 + 150025842\/7 = 0. What is n?\nAnswer: -8661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 7292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3855\nAnswer: -3855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b)**14\/(b*b**(1\/10)*b**(-4)*b) assuming b is positive.\nAnswer: b**(859\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4480 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128627 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5474404, 10948807, 16423210, 21897613, 27372016, 32846419?\n\"Answer: 5474403*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2988 and 79\/148.\nAnswer: 110556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:40 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 28.5. Let d(b) = -b**3 + b**2 + 1. Let o be d(2). Let v be (o\/(-2))\/((-1)\/2). Sort y, v, 1 in ascending order.\nAnswer: v, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2*l**2 - 3*l - 1. Let g(x) = -x - 10. Let n be g(-13). Let q be r(n). Solve -s - 2*s - q = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**8\/840 + 11*s**4\/24 + 5*s**3\/6 - 9*s**2. Let v(z) be the first derivative of n(z). Differentiate v(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**13*x))*(x*x**32*x*x)\/x)**(-10\/7) assuming x is positive.\nAnswer: x**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 61 = 57. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**7\/63 - 7*f**6\/45 - 3*f**5\/5 - 11*f**4\/9 - 13*f**3\/9 - f**2 + 13*f. Factor a(t).\nAnswer: -2*(t + 1)**4*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + (-30)\/6 + 3 + 1. Solve -a = -5*v + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - (8 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 + 11 + 25\/(-60) and -43\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q**3 - 5*q**2 - 3*q - 278. Let i(o) = -10*o**3 - 2*o**2 - o - 136. Give 2*f(t) - 5*i(t).\nAnswer: 8*t**3 - t + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 183082 (base 10) in base 13?\nAnswer: 65443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 206*x**2 + 20*x - 20. Let s = 174 + -173. What are the prime factors of b(s)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268098 by -383.\nAnswer: 268098\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.327 + -0.673. Which is the closest to n? (a) -0.3 (b) 2\/13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -20*b + 95. Let j(i) be the first derivative of -19 - b*i**4 + 7*i**4 + 18*i**2 + 1 + 5*i**4. Find the second derivative of j(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11*f**3)**(-16) assuming f is positive.\nAnswer: f**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8735162 (base 10) to base 13.\nAnswer: 1a6ac47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(6 - 5 + 13)*(2 - 2 + 2).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (14 + (-27 - -3) + -6 + (0 - -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 6601*n**2 + 2*n + 589*n**2.\nAnswer: -6012*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**2\/2 + 1. Let k(v) be the first derivative of 0*v + 24 + 0*v**2 - 5\/3*v**3. Give k(b(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 2*v - 6, -6 = 2*n - v. Let j(c) = c**2 - 11*c - 55. Let d be j(15). Is d + -1 - n*7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + (-4 + 0 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23561606 (base 7) to base 13\nAnswer: 5865a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((705\/84)\/5 - (2047\/(-92) + 24))*-4. Factor -36\/7 + d*g**2 + 2*g.\nAnswer: 2*(g - 2)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113010 - -3232222?\nAnswer: 13011232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2901, 3552, 4203, 4854, 5505, 6156?\n\"Answer: 651*g + 2250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 3\/2*c**2 + 2\/3*c**3 + 4*c + 1 - 1\/4*c**4. Let j be m(3). Solve j = 4*x - 2*n, 2*x + 8 = -x - 4*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-10)*(-1 - 13\/(-3)). Suppose -f = -5*v + 22 - 11, -2*f - y = -v. Solve 5*n - v*b + 24 = -5, -3*b + 21 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*t**4 - 262*t**3 - 872*t**2 + 320*t = 0. What is t?\nAnswer: -40, -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6307 + 6308. What is the second biggest value in -4, 45, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4507 take away 8?\nAnswer: -4515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2583583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 - 3*o**3 - 3*o**2\/2 - 7*o + 1134. Let a be -1*(9 + (-2 - -2)). Calculate the remainder when y(a) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = 45*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*h + 849*h + 1064*h**2 - 1067*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let l be z(2). Let s(n) = n**2 + n - 2. Let y be s(l). Suppose -p = -5*v + 4*p + 105, 3*v = -y*p + 28. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 + 3*t**2 - 2*t - 2. Suppose 4*p - 10 = -3*r, -4*r = -9*r - 10. List the prime factors of v(p).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (45\/(-225))\/((-1 + -3)\/5131220) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 106 = -3*v, -3*y - v = -766 + 520. Solve 21*d - y*d = -348 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 + 4)*(4 - 4 + 1)*(5*n + 6*n - 2*n) + (-2 + 2 - 1)*(2*n - 2*n + 2*n).\nAnswer: 142*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173.6 - 169.6. Put 1\/2, -4.01, 3, y in descending order.\nAnswer: y, 3, 1\/2, -4.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1181*l + 14165. Calculate n(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {w: 1, m: 8, e: 3, l: 1, t: 1, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 260 = 2*m. Suppose -3*d + m = -17. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 34*u - 57. Let b(h) = h**2 - 70*h + 113. Let n(x) = 4*b(x) + 7*c(x). Calculate the remainder when 57 is divided by n(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(27\/6)*(-42)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 1. Let d be l(-1). Find the second derivative of 2*w**d - 32*w - 4*w**4 + 31*w wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 19 = 11. Suppose 0 = 8*q - a*q - 18. Suppose 0*r - q*r = -4182. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:37 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247054 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47295, -47285, -47271, -47253, -47231?\n\"Answer: 2*z**2 + 4*z - 47301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20289 less than -40.55?\nAnswer: 20248.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 266181 and 0.1.\nAnswer: 26618.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 7 (c) 19 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u**2 - 3*u + 15. Suppose 4*h = o - 2 + 14, 4*h - 5*o = 12. List the prime factors of p(h).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, i: 3, m: 6, r: 3}. Give prob of sequence md.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**6\/2 + 3*t**5\/5 + 3*t**4\/4 - t**3 + 5. Factor a(b).\nAnswer: -3*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-3\/2)*a)\/a)\/a*a)\/a)**(-34))**(-46) assuming a is positive.\nAnswer: a**(-3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896245.\nAnswer: 5, 7, 29, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55626, -222775, -501356, -891369, -1392814, -2005691?\n\"Answer: -55716*p**2 - p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126675.\nAnswer: 3, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1041021 or -1041030?\nAnswer: -1041030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11666998 divided by -686294.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001221622532 rounded to seven dps?\nAnswer: -0.0001222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*b**4 - 11173040*b**3 + 13407696*b**2 - 26815424*b\/5 + 3575392\/5.\nAnswer: -2*(b + 223462)*(5*b - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 6. Determine m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*m + 619 - 316 = -579 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**24\/u)**(-12)*(u**(-5\/6))**12)**(-47) assuming u is positive.\nAnswer: u**13442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 35*i. Let t be d(-1). Let c = -216 + 277. Let j = c + t. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*x + 201280 = 2424. What is the greatest common divisor of x and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 + 3 = 0. Let g be s + (-2 - -2)\/2. Calculate the remainder when g\/((5 - 2)\/(-129)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7568 + 7568.0322. Is -1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 - 2*q - 2. Let s be b(-6). Let v = -43 + s. Suppose -6 = -v*o - 21. Put -4, -13, o in decreasing order.\nAnswer: -4, o, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2302 is divided by 450?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 (base 10) in base 9?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7089281*n**4 + 11*n**3 + 12*n**2 - 1863739*n wrt n?\nAnswer: -170142744*n + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -2 - (-266 + 237).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/264 and -101\/4026.\nAnswer: 16104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 6177, 20868, 49495, 96708, 167157, 265492?\nAnswer: 396363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assshhgaghhh. Give prob of picking 1 g and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 2*d**2 + 142*d - 4. Let s(n) = 10*n**3 - 10*n**2 + 710*n - 21. Calculate 2*s(z) - 11*x(z).\nAnswer: -2*z**3 + 2*z**2 - 142*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/238436 and -101\/38745850.\nAnswer: 77491700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*m**2 - 1 + 7*m - 2 - 6*m + 6*m**2.\nAnswer: 293*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -324246588 to the nearest one million.\nAnswer: -324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 266618, 533153, 799688, 1066223, 1332758, 1599293?\n\"Answer: 266535*m + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b**3 - 37*b + 38. Determine z(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -2\/25 (b) -7.2 (c) -5 (d) -2\/13 (e) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 1506*h + 189003 = 0. What is h?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.004, -52.1, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -153. Let j be (-120)\/720 + -1 + n\/(-6). Let w be 2\/6 - 24\/(-9). Solve -j = z + w*a, -12 = -0*a + 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -993 - -937. Let d = 14.9 - 15. Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/2, 4, 0.1, 0 in increasing order.\nAnswer: 0, 0.1, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 392*a - 377*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*y = -17, y = -3*n - 368 + 369. Solve -g + 8 = -n*x, -g + 5*x - 13 = 10*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5229.023 - 5237. Let h = 0.023 - f. Let z = h + -9. Sort 8\/5, -3, 0.5, z in descending order.\nAnswer: 8\/5, 0.5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y. Let c(t) = 4*t + t - 4*t. Calculate c(l(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1035 + 2872. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -27312b2?\nAnswer: 27312b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2\/4 - 10719*i\/2 = 0.\nAnswer: 0, 7146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 2:56 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -3. Let g be ((-1)\/(-5) + 306\/20)*y. Let w = g - 57. Solve 4*m - 3*m = w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u - 38. Let k be n(-8). Suppose k*s = 11*s + 15004. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 minutes after 10:44 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/97 (b) 0.1 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5410225.\nAnswer: 5, 379, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -599, -1207, -1891, -2687, -3631, -4759, -6107?\n\"Answer: -6*d**3 - 2*d**2 - 560*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 p when four letters picked without replacement from {h: 1, p: 5, n: 1, g: 1, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337823530?\nAnswer: 2, 5, 11, 89, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 11:05 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -2\/3 (c) -0.3 (d) -1\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {r: 2, k: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmffm. Give prob of sequence mff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 29\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 272 = -856. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, j: 6, z: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24040 and 4294145?\nAnswer: 34353160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1658.36 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15887, 67623, 153853, 274583, 429819, 619567, 843833, 1102623?\nAnswer: 1395943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = 197. Suppose r = 3*a - 59. Let d = a + -29. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290463 is divided by 72615.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1642*d**2*j**3 + 3*d**2*j + 12*d**2 + 262641*d*j**3 wrt d?\nAnswer: 3284*j**3 + 6*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-72) - (-2090)\/12. Suppose 2*l + y = 4*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-84)\/(-36))\/(4\/(-690)*-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162*4\/4*(-871)\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724\/54 + 12\/(-27) is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25711259 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 546.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4434, 4374, 4098, 3462, 2322, 534, -2046, -5562?\nAnswer: -10158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/8*(-1 - 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1452*d - 8713. Let t be b(6). Which is greater: t or -2\/10715?\nAnswer: -2\/10715","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 6. Let g be (5 + -1 - -6) + c. What is the second derivative of -6*u**3 + 8*u + 9*u**3 - g*u**3 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 84*n + 6374178 = -37*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2094*b + 181*b - 2 - 33*b + 2 as c + g*b and give g.\nAnswer: 2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93\/10? (a) -743 (b) 0.16 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:48 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -2, 5\/4 in descending order.\nAnswer: 47, 5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*z)*(-5*z + 2 - 2 - 3*z + 4*z + 2*z + (-1 + 0 - 1)*(4*z - 2*z - z))*(0 - 3 + 1).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*((2 + sqrt(171))**2 - (sqrt(19)*2 + -1)).\nAnswer: -174 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21975.29 centuries?\nAnswer: 219752.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 124931 = 5164397 + 1468869. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 16*u**2 + 3*u**2 + (2 - 7 + 2)*(3*u**2 + 0*u**2 - u**2) + 5*u**2 - 3*u**2 + 0*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 4*k**3\/3 + 1. Let z(a) be the third derivative of 0*a + 0 + 9*a**2 - 1\/24*a**4 + 0*a**3. Determine u(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25367 + -24334. Solve -h*z = -1032*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*z**3 + 2*z**2 - 650*z - 652919 wrt z.\nAnswer: -48*z**2 + 4*z - 650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(60)\/sqrt(5))\/(-3*sqrt(4)*-2).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -6, -0.2, 11.6, 0.22, -9.7, -0.1, 0.2?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2831002 from -2.2.\nAnswer: -2.4831002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 91 - 174 = -m, -5*m + 1381 = -z. Suppose w + 2 = -w, 2*q + 3*w = m. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 2\/2)*2. Let d(q) = -26*q + 7. Is d(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 71*(-4)\/4 + 4. Let d = t + 71. Suppose -112 = -d*l + 2*l. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2531223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7689\/2 - -3421601\/890. Let k = -22124\/1765 + 31358787\/2513360. Let j = l + k. Find the common denominator of 149\/12 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -161, -5, -2.36?\nAnswer: -2.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*-1 - -4*-1*sqrt(17).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*r**3*v + 270*r*v - r wrt r.\nAnswer: -204*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let t(h) = 2*h - 5. Let p(k) = 5*r(k) + 2*t(k). Let x(g) = g + 2. Let b(s) = 4*s + 11. Let z(i) = 2*b(i) - 11*x(i). What is z(p(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1098 (b) -0.2 (c) 2\/9 (d) -0.02 (e) -1\/43 (f) 0.4 (g) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - 200\/(-35) - (-120530)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634340 take away -542?\nAnswer: -633798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4, -1063\/5?\nAnswer: -1063\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12966865?\nAnswer: 5, 41, 43, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*k - 38, 0 = k + 5*p + 2 - 28. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 2223.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2401 - 2392. Solve 4*u = o*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.109 times 5294\nAnswer: -16459.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*w + w + 12 = 0, 3*g = 2*w + 6. Suppose 5*u + g = 15. Let m be 2\/(-4) + (-7)\/14. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387150338 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-102)\/(-21) - ((-652)\/(-252) - 3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85.03 - 85. Let b = 2.17 - o. What is b rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 74 = -4*t + 382, t - 4*b = 128. Calculate the highest common divisor of 182 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7056) + (sqrt(7056) + sqrt(7056) + sqrt(7056)*-1)*-3))\/(sqrt(21)\/(sqrt(12)*3)*-5).\nAnswer: -864*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -104. Calculate the remainder when u is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -225, -323, -421?\n\"Answer: -98*x - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:50 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*d**4*r - 22*d**3*r + 2*d**2*r + 9*r - 6 wrt d?\nAnswer: -64*d**3*r - 66*d**2*r + 4*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/30 - 253*j**4\/6 - 1217*j**3\/6 + 1819*j**2. Differentiate m(d) with respect to d.\nAnswer: -4*d - 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 2*h**2 + 2*h + 4. Let c be x(-3). Let p = -7 - c. Solve -p*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 3}. What is prob of sequence vq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/711282 and -109\/1320.\nAnswer: 14225640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 5325 = -2817. Let b = -319 + x. What is the remainder when 697 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/4)))\/(k\/k**(-2)*k*k*k))**(-6) assuming k is positive.\nAnswer: k**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/30 - 21*m**5\/20 + 51*m**4\/4 - 455*m**3\/6 + 225*m**2 + 497*m. Factor h(x).\nAnswer: (x - 9)*(x - 5)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 82?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 - 39. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = a + 4*a + 4, -4*a - 5*p - 20 = 0. Suppose 5*x - 18 - 12 = a. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.47927 minus 0.079084?\nAnswer: -14.558354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 4. Let j be r(-8). Let a be ((-242)\/(-110) - (-1 - -3))*15\/2. Put 244, a, j, 5 in increasing order.\nAnswer: a, j, 5, 244","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/223123 + 1574802128\/669369. Let m = k - 2332. What is the common denominator of m and 62\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110331 (base 7) in base 6?\nAnswer: 225413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36660)\/4277)\/((-3)\/(-7))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q, 4*q - 9 = -3*k. Suppose 0 = -5*o + 10 - 0. Calculate the smallest common multiple of k and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14075827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/41 = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1226\/6743 - (-3)\/((-264)\/(-1414))) + 4\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 1. What is u(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*q - 3*q**3 - 2*q**3 - 1440*q + 957*q + 2*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 209138 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (-4 - (-16 - (13 + -6)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1527*b**3 + 62*b**2 - 2*b + 4. Let u(f) = -1527*f**3 - 59*f**2 + 3*f - 1. Let x(g) = 3*r(g) + 2*u(g). What is the third derivative of x(t) wrt t?\nAnswer: 9162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/687 and -76\/33.\nAnswer: 7557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 79535*q - 2704195. What is w(34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -43490\nAnswer: -2\/21745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827800 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 12*s + 5. Let l be j(9). Let v be l - (-2 + 1 + 3). Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316256, 316391, 316526?\nAnswer: 316661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/185*(-1510)\/4. Solve 24*m - d = 17 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 11. Let g = 11 - 14. Let p = g - a. Do -0.1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483*q + 3100 = 507*q + 550*q + 550*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:39 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -592, -643, -726, -841, -988, -1167?\n\"Answer: -16*k**2 - 3*k - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n - 12. What are the prime factors of d(-3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)\/(w*w**(13\/2)))\/((w**(-5\/9)\/w)\/(w**(-20)\/w)) assuming w is positive.\nAnswer: w**(-773\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-3)*567\/(-504).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 15*x = -16*x - 5288, -v = -5*x - 1758. Is v at most 1762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380135909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -17, -2, 13, 28, 43?\n\"Answer: 15*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 7 + 1285*u - 7*u**2 - 1285*u + (2 + 0 - 4)*(-2*u**2 + 4*u**2 - u**2).\nAnswer: -9*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28968*n**3 + 13910*n**3 + 14469*n**3.\nAnswer: -589*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/20295808 and -109\/93184.\nAnswer: 1136565248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*l**4 + 121*l**4 + 271*l**4 + (3*l**2 - 3*l**2 - 12*l**3)*(-l + 2*l - 2*l) as s*l**3 + t*l**4 + a*l + c*l**2 + x and give t.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13081461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000478446419 to seven dps.\nAnswer: 0.0004784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23364)\/(-1239))\/(96\/224).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (10 - 44\/11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/291 and 20\/5917.\nAnswer: 17751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 18668*f**2 - 18662*f - 37332.\nAnswer: -2*(f - 9333)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from wqwmxfwfcfq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 13, 12, 11, 10, 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1402029, -1402027, -1402025?\nAnswer: -1402023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**4 - 359*k**3*q**3 + 1004*k**3*q - 2279*k**2*q**3 + 16*k**2*q**2 wrt k?\nAnswer: 72*k - 2154*q**3 + 6024*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/2 - 3)*(-6)\/(-1). Suppose 2*p = -5*m + 18 + 40, -2*m + 20 = 4*p. Put m, g, 2 in decreasing order.\nAnswer: m, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 42*s - 1. Let t(v) = -v - 1. Give -l(y) + 2*t(y).\nAnswer: -44*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 64*h - 175. Let s be p(-61). Solve -s*l = 5*l - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132.265 + 1.465. Let z = -131 - k. Which is the biggest value? (a) z (b) -1\/2 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 less than 16.2016047?\nAnswer: 18.3016047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from {d: 1, m: 1, k: 1, r: 1, t: 5, l: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62*6\/(60\/5) is divided by -1*(-10 + 2\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -2*x, -2*z + x = 0. Suppose z = -t - 3*t + 12. Solve -5*c + 5*h = -35, 3*c + t*h = 5 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000663266 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.5, 15, 2\/3 in descending order.\nAnswer: 15, 2\/3, 0.5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/2)\/((-3)\/(-330)) is divided by 19\/(1 + (2 - 2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1057826992216.\nAnswer: -1057826992217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - 9 - -7 - (0 + 3 + -7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -127, -252, -379, -508, -639, -772, -907?\n\"Answer: -g**2 - 122*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:21 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.153923538 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 329 - o**2 + 22*o - 328 + 8*o**2 - o**3 - 3*o. What is t(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 737322946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*(z\/z**(-11)*z)\/z*z)\/z*z*z\/(z**(-3\/2)*z)*z)**27\/(z**(-4)\/((z\/z**(-1\/8))\/z))**(-2\/23) assuming z is positive.\nAnswer: z**(48405\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(12\/8*(-8)\/6). Solve 4 + y = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-50))\/(6\/10). Put -1\/2, v, -0.3, -3\/2 in decreasing order.\nAnswer: v, -0.3, -1\/2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/21 + 4\/14. Solve 3 = -t*j - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 102, 170, 262, 384, 542, 742, 990?\n\"Answer: w**3 + 3*w**2 + 34*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7079, 27196, 60697, 107576, 167827, 241444, 328421?\n\"Answer: -y**3 + 6698*y**2 + 30*y + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107735137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2 + 2)*(1 + 2 - 4)*(2255*r - 4508*r + 174 + 2254*r) to f*r + a + s*r**2 and give f.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5336)\/87)\/46*(-1)\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r - 9. Let w be g(-4). Suppose 4*o - k - w = 2, -2*o = 2*k. List the prime factors of (52\/o - 0)*5.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21500756 and 11940?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14742 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1847*i = 729*i + 14157 + 16755 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34538 + 270323. Suppose -v = 27*m + 61215. Round m to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*s + 12, s = 9 - 6. Suppose -2*c - u = -9 - v, 4 = c + u. Suppose 3*t + 4*i = 556, -5*t - 2*i = -c*i - 917. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 33*p**2 + 31*p + 10. Calculate the smallest common multiple of 35 and a(-32).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.77804423 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2347*w + 373252. Calculate n(159).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121331105 by -17333015.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22497*v - 81639 - 1461044 = 866011 + 268449 for v.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65652364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1\/(-103)) + 2\/(-1). Suppose 3*w + 0*w - 12 = 0. Is 28 a factor of w - (-2)\/(2\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -11*n - 9. Calculate the remainder when 72 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 8*m**2 + 11*m - 4. Calculate u(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*1\/(-1)*(-1623532)\/372 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4540 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588622507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/66 and 61\/216504.\nAnswer: 2381544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4047*q**3*w**3 + 369*q**3 + 2*q**2*w**3 + q**2*w**2 + 2*q*w**3 + 11*q - 827*w**3 - 9*w**2 wrt q.\nAnswer: -24282*w**3 + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 143293\/(-170) - 2\/(-4). Let z = t + 837. Is -4 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -18*j**2 + 50*j + 53. Calculate i(-4).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) -0.3 (d) 0.23 (e) 0.0252 (f) 0.5 (g) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150.3 + -150.299997341. What is k rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 5*v, -585*g + v = -590*g + 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 5) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 + 4. Let d(i) = i**2 + 1. Let t(x) = 12*d(x) - 3*p(x). Let m be -9 + 10 + 2\/2. Let j(s) = 24 - 46 - m*s + 22. Determine j(t(v)).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13900 - 8*q + 13434 + 2*q.\nAnswer: -6*q - 466","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 + 12*r**2. Let c(s) be the second derivative of 0 - s + 1\/6*s**3 + 0*s**2. Give t(c(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10423006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103829*a*p**3 - 974*a + 5*p**2 - p wrt p?\nAnswer: -622974*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 w, and 1 p when four letters picked without replacement from {p: 10, i: 2, b: 4, w: 1}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 + 16*f - 31. Let r be m(2). Put r, 3, -5 in decreasing order.\nAnswer: 3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16\/3 (b) -1 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b = 23*b + 64. What is the remainder when b is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2 - 5*b + 98. Let h(g) = -13*g**2 + 6*g - 99. Determine -3*h(a) - 4*m(a).\nAnswer: -a**2 + 2*a - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = o, 0 = -4*y - 3*o. Let n(q) = 2*q - 2. Let a be n(1). Solve a*h - 3*h - 3 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202*p**6 - p**3 - 1330*p**2 wrt p.\nAnswer: 24240*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 138*q - 49 = -140*q, 4*j + 4*q = -32 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j. Suppose 3*o = 5*d + 180, 2*d - 159 = -6*o + 3*o. Suppose k + j*k - o = 0. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*w + 4525 = 512*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -109, -116, -137, -178, -245, -344, -481?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 18 - 62 = 0. Let l be (58 + g)*1\/3. Solve 3*x + 6 = -0, 0 = -5*r - 2*x - l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 24 = 19*h. What is the common denominator of 32\/9 and 578\/460 - 6\/h?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2080*l**2 + 8294*l - 25695391 wrt l.\nAnswer: -4160*l + 8294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*m - 17, 9 = 5*m + 24*t - 40*t. Factor 0*y - 15\/4*y**3 + 0*y**4 + 5\/2*y**2 + 0 + 5\/4*y**m.\nAnswer: 5*y**2*(y - 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152221 (base 6) in base 5?\nAnswer: -14422431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h - 3. Suppose h + 5 = -2*i, 2*f - 3*i - 20 = 0. What is the first derivative of 0*w - 2*w**f + 0*w - 1 wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15542305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, y: 13}. What is prob of sequence yhhy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 7*s**2 + 2*s + 6. Let i be d(-7). Let y = i - -13. Is 39 - (y + -3 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45 - 0.55. What is the biggest value in -0.3, r, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h + 6. Let f be v(-3). Let q be (-3)\/f*(4 + 128\/(-36)). Which is the second smallest value? (a) q (b) 5 (c) -0.07 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - l)*(0 + 5 - 2 + (-1 + 9 + 0)*(-850 + 654 - 211)) as n*l + s and give n.\nAnswer: 3253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - a**5 + 2*a**2 + (-2*a + 3*a + 0*a)*(3*a**3 - 3*a**3 - a**4) + 9*a**5 - 6*a**5 + a**5 + (-2*a + 2*a - a**2)*(0*a**3 - 3*a**3 + 2*a**3).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -3.5, 10609, -31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - (1 - (4 - 0))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*k**2 + 70*k**2 + 669*k**2.\nAnswer: 828*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107853474 rounded to the nearest 100000?\nAnswer: 107900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 + 10.4. Let p = t - 1.8. Let x = p - -3.5. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -12.696, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -11. Suppose 4*g - k = 47. Suppose -9*w - 210 = -g*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12124?\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12230, 11902, 11576, 11252, 10930, 10610, 10292?\n\"Answer: z**2 - 331*z + 12560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 4. Let i(b) = 6*b**2 + 25*b - 20. Let s(u) = -11*g(u) - 2*i(u). Let v be s(4). Is v greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 13*w + 16. List the prime factors of u(36).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 - -0.01. Which is the fourth smallest value? (a) -3 (b) f (c) -1\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -40. Find the second derivative of -8*p**2 - 29*p - 6*p**2 + 5*p + i*p**2 wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 386811920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 9}. Give prob of picking 1 a and 2 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -63 + 83 - 10 - 10*h - h. Determine w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 2. Let v = 34 + -24. Calculate the smallest common multiple of a(-4) and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -38. Let k be 2\/2 - j\/(-26). Let n be (1\/(-13))\/((-280)\/1820). What is the biggest value in k, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 - 7 = 0. Let k = n - -12. Let s = k + 11. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14147 + 20447. Is q a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 97*u = 95*u + 22, 5*r - 16 = 9*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 0.1, 1\/8 in descending order.\nAnswer: 6, 1\/8, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**3 + 3*m**2 - 3*m + 1. Let j be o(1). What is the units digit of ((-225)\/(-10))\/(-15)*248\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 217414596.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0129538985 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 6156?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -10 - (12 + -14) - -4) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -379271.933 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14452*l**4 - 18*l**3 - 979127 wrt l?\nAnswer: -57808*l**3 - 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 14*w + 15*w in the form a + b*w and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, k: 2}. Give prob of sequence www.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-45) + (-34)\/9. Let q be (-1)\/x + 1101\/12. Let y = 207 - q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1525397667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -19*a**3 - 230*a**2 + 238*a + 3235. Give f(-12).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15183 + -36059622\/2375. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnxh when four letters picked without replacement from pvhxvxxnhpvvhvhhv.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -33, -5, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n. Let x be 42\/15 - (-5)\/25. Let v be 2\/1 + (6 - x). Give s(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/6*(-3 + 6). Let t(s) = -2*s**2 - 29*s + 48. Let g be t(r). Solve g*l - 5*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 4*d - 476 = 0, 4*j - 2*d = 1974. Is 31 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1825716625 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211.7204 + 4.\nAnswer: -207.7204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 98 - 6 = -14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:01 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 4. Let s(v) be the second derivative of -v**3\/6 - v**2\/2 - 3*v. Let f(j) = -p(j) - 3*s(j). Give f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x - 2. Let y(g) = 5*g**2 - 4*g + 4. Let s(j) = -j + 1. Let b(z) = 5*s(z) - y(z). Let m(n) = -1. Let r(p) = b(p) + 2*m(p). Give r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963832341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7072*n**2 - 5694*n**2 + 1439*n**2. Let a(t) = t**2. Determine k(a(y)).\nAnswer: -11327*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3 + 6*v**2 - 8 = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(12\/(-3))\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111642, -111641, -111640, -111639, -111638?\nAnswer: -111637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 45, 105, 201, 339, 525, 765?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -23*g + 29*g + 54 - 60. Determine a(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 12600?\nAnswer: 138600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7360 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - ((sqrt(77)*-1 - sqrt(77)) + sqrt(77)))*4 - (sqrt(77) - 3*1*sqrt(77)))\/(-4*(sqrt(396) - (sqrt(396) - sqrt(396)*1))).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233123212 + -10?\nAnswer: 233123202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1826705 divided by -515?\nAnswer: 3547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34170 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -6.37\nAnswer: -140.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1\/(-1))*(-50 + -283)\/(-3663)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 206*c**3 - c**2 + 28*c - 28. Let h be q(1). Are 205 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l**6 + 0*l**2 - 3\/5*l**5 - 4*l**3 + 0*l**4 - 2*l + 63 + 12\/7*l**7. Find the third derivative of w(q) wrt q.\nAnswer: 1440*q**3 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 15 - 72. Let m = 85 - h. Suppose m = 4*n + 8. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2997347, 5994644, 8991941, 11989238, 14986535, 17983832?\n\"Answer: 2997297*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2987?\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.3 (b) -2\/45 (c) 7\/5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 0 + 4 + 4. Suppose 0 = a*m + m - 8722. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 234.\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578434.6 grams to nanograms.\nAnswer: 578434600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356253 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - b674?\nAnswer: -b665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 92. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*i + 10*i**2 - 109*i - 8*i**2.\nAnswer: 2*i**2 + 185*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1341023 - 3?\nAnswer: -1341031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 376*h**4 + 9204*h**3 + 17296*h**2 + 8464*h.\nAnswer: 4*h*(h + 1)**2*(h + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 29*l - 64. Determine i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 14*t**2 + t + 15. Is 10 a factor of f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 4*v - 5. Let u be (4\/5)\/(2\/10). Let b be w(u). Suppose 2*c - 21 + 3 = 2*k, -3*c - 5*k = -b. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) + 5 + 2712\/14. Suppose -2*g + b + 1767 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 72952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.7 - 13. Suppose 23 = 2*w - 13. Let h be (-6)\/(-15) - w\/20. Which is the nearest to -1? (a) n (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 110*f**2 - 473*f + 123. Determine o(-5).\nAnswer: 5238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6739?\nAnswer: 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*p**5 + 3*p**5 + 73*p**2 - 92*p**2 wrt p?\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 235*w**4\/2 - 2348*w**3 + 13120*w**2 - 22336*w - 384 = 0. What is w?\nAnswer: -4\/235, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33543769 - 78.56606.\nAnswer: -33543847.56606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 17040383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocokocmokmbmbm. Give prob of sequence book.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 165 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 + -192. Let u(f) = f**3 - 5*f**2 - 5*f + 4. What is u(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-8))\/(33\/22)*-24. Suppose 8 - z = -2*p. Suppose -p*x + 16 = -7*x. Solve 0 = -3*l + 9, -2*c + 3 + 3 = x*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (98\/35)\/((-14)\/(-4)). Find b, given that 23\/5*b**3 + y*b + 0 - 14\/5*b**4 - 16\/5*b**2 + 3\/5*b**5 = 0.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from nmyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2839 - 2628. Solve -221*z + 60 = -f*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 - 307*s**4 - s**2 + 598*s?\nAnswer: 240*s**3 - 7368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18903, 37718, 56423, 75012, 93479, 111818, 130023?\n\"Answer: -m**3 - 49*m**2 + 18969*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-28) - (-516)\/54?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2003109 and 354.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyyydyyyyxky. What is prob of sequence kd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2592 is divided by 66?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 4*c - 3*c + (-2 + 2 - c)*(1 - 1 + 2))*(-3 + 2 + 2)*(-4 + 2 + 3).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, n: 1, o: 1, p: 3, g: 3, r: 1}. Give prob of picking 1 g and 1 p.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*(-1)\/3. Let m be ((18\/5)\/3)\/((-261)\/(-435)). Let c be 131\/262 - (-1)\/m. Sort 5, c, g in decreasing order.\nAnswer: 5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 2*i - 2. Let w = 4 + 0. Let g be u(w). Let r = g - -46. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 972925969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 262 - 494)*(5*z**2 + 0*z**2 - 3*z**2)*(-4 + 0 - 2) to the form p*z**2 + w + x*z and give p.\nAnswer: 9216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -41208.42 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(8\/(-75))\/((-21)\/(-105))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + o - 26. Let c be g(-11). Suppose 3*s = -15, -5*x + c = -0*s + s. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s - 1. Calculate i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2 - 94626*f - 1420065 = 0.\nAnswer: -15, 31557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 15, 5*i = -5*n + 385. What is the second derivative of i*k - 8*k**3 - 20*k**3 - 98*k wrt k?\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 64 = -3*s + p, -s = 3*p + 17. Let g = -16 - s. Suppose -c + 4*b - 18004 = 6*b, 4*b = g*c + 71992. What is c rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3394471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342.5 - 208. Let o = -135 + n. Which is the smallest value? (a) 4 (b) -2\/19 (c) -0.1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o - 1\/6*o**2 - 1\/9*o**3 + 2. Solve v(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 8*w - 1. Let p be j(-8). Let t be ((-10)\/4)\/((-1)\/2). Let m = 2 - 1.9. Which is the closest to p? (a) -1\/2 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 25, 52, 89, 136?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 18. Let t be o(9). Let y be -22*(-2)\/18 + t + 7. What is the third biggest value in y, 2\/5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 156*o**3 + 345*o**3 - 2*o**2 - 2*o - 189*o**3 + 2932*o**4 in the form w*o**3 + q*o**4 + h + a*o + l*o**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -9\/8, -5, 2\/961, 8, -0.4?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-3))\/(69\/69).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) 7 (b) 78 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -553 - -1233. Is k a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*r + 3, 4*r = 2*f - r + 17. Let t be (-3 + (-17)\/f*1)*-64. Suppose -2\/9*n**3 - t*n**4 - 8*n**5 + 2\/9*n - 2\/9 + 26\/9*n**2 = 0. Calculate n.\nAnswer: -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -101. Differentiate -f*j - 33 - 15*j + 49*j with respect to j.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 - 194. List the prime factors of (-2448)\/(-170) - ((-8)\/5 + n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 225732*w**3 + 1354488*w**2 + 2709040*w + 1806048.\nAnswer: -4*(w - 56439)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 400152*d**3 - 10017999988*d**2 - 520124772336*d - 6758107332496.\nAnswer: -4*(d + 26)**2*(d + 49993)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -50.4. Let n = -35 + c. What is n rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0.05, -4, -0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q)*(-2*q**2 - 4 + 4) + 0*q**3 + q**3 + 0*q**3 - 4 + 4 + 5*q**3 + q**2 - q**2 + 4*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5526616 is divided by 707?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*r + 10, 3*b - 10 = r + 8*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-90142)\/(-156015))\/((-13)\/(-10))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*o = 75, 0*o = -5*l + 4*o - 145. Let r be (-95)\/l + 1\/5. Let w(j) = -j + r + 2 + 2 - 4. What is w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -25. Calculate the least common multiple of 1 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25976\/(-24)*(3 + -2)*3. Is (i - -3)*(-8)\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -6.3795.\nAnswer: 3.18975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 68. Let m(a) = -a**2 - 5*a - 4. Let l be m(-6). Does 33 divide (-396)\/l*10\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.221 greater than or equal to 2263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -406178*u**6 + 1181*u**2 + 6*u - 16 wrt u?\nAnswer: -48741360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13620 - -0.194\nAnswer: 13620.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4 - 52528*u + 298928*u + 3*u**4 + 125304*u**2 - 12*u**4 + 11*u**4 + 122500 + 1408*u**3 = 0.\nAnswer: -175, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 3:24 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n - 5. Determine k(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2255510*q*y + 1943071*y wrt q?\nAnswer: 2255510*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 3 - (7 - 7 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*m + 2)*(3*m + 0*m + 2*m)*(-2*m - 3 + 3).\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66016189, -264064752, -594145683, -1056258976, -1650404625, -2376582624?\n\"Answer: v**3 - 66016190*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 95145 divided by -404\nAnswer: -95145\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-11 - 6) - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184782811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4 + 1 + 1 - 5*x - 2. Calculate r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 10*s + 6. Let p be a(4). Let x be (-12)\/((-12)\/(-4)) + p + 1. Suppose -323 = -x*h + 7. What is the remainder when h is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - 1816\/(-72). What is the greatest common divisor of w and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376236 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1026174359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 5375 + 5375.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 10. Let v be b(-10). Let c be -2 + -1 - -5 - v. Let a be 165\/12 + (-2)\/(-8). What is the highest common divisor of a and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54876.\nAnswer: 2, 3, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 47 + 95 = -3*w, 18*w + 18 = 19*w - 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 17602434 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:46 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -531.131 bigger than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**(2\/37)*(s**(-20)*s)\/(s\/(s*s*s**(1\/12))) assuming s is positive.\nAnswer: s**(-7835\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 71*((-20)\/(-9) + 6\/(-27)). Let o = i - 142. Solve o = -2*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 40. Give l(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juiuuujuiujjjuujuj. What is prob of picking 2 u and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 679 - 1013. Let z = 333.405 + x. What is z rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**2 + 56032671*z - 109587737 with respect to z.\nAnswer: 2*z + 56032671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*z + 6 = 0, 4*z = -h - 4 + 16. Let r(v) = v. Let i be r(2). Sort 3, i, 5, h in ascending order.\nAnswer: h, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 6*j**2 - 3*j + 5. Let x be s(3). Let v be 6312\/16 + (-6)\/x. Calculate the highest common factor of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 + u - 9. Let d(t) = 1898*t**3 + 18*t**2 + 18*t + 1534. Let s(z) = 2*d(z) - 36*k(z). Find the first derivative of s(l) wrt l.\nAnswer: 11280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:45 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -796 * 1\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v**2 + 0)*(75 - 75 + 4*v) + 1 - 3*v**3 - 1.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -17, 3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6681 - -26723\/4. What is the third biggest value in 29\/4, p, -10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/3 (b) 0.06 (c) 66 (d) -5 (e) -0.2 (f) -3 (g) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 h when three letters picked without replacement from {t: 4, s: 2, z: 3, v: 1, k: 2, h: 3}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.26 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**2 + 7*m**2 + 6 + 24*m + 10*m**2 - 16*m + 0*m**2. Calculate n(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3956, -4, -5 in decreasing order.\nAnswer: 3956, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (28040\/5600 + -5)\/(5\/(-25))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7299?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -591, -741, -889?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 + 25*x**2 + 2*x**2 + 4*x**2 - 22*x**2. Let g(s) = -12*s**2 - 2*s + 5. What is g(y(t))?\nAnswer: -108*t**4 - 6*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290343376 or 290343375?\nAnswer: 290343375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, p: 3, j: 4, u: 7}. What is prob of sequence jjj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -41. Let p be 5 - (9 - (0 - -3)). What is the nearest to 0 in p, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 + 4*f - 25. Let n be j(-8). What is the common denominator of 99\/(-10) + -1 + n + -3 and -1 + -33*(-3)\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -118931.5?\nAnswer: -47572.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(288))**2 + sqrt(288))*2 + (sqrt(512) - (sqrt(512) + 0))**2*-4.\nAnswer: 840*sqrt(2) + 2970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1426 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2 - 25976*i = 0.\nAnswer: 0, 12988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 3 + (-461098)\/52980. Let i = s + -56\/883. What is the common denominator of i and 536\/(-469) + (-167)\/(-42)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 127. Let s(c) = 2*c - 127. Determine -2*o(d) + 3*s(d).\nAnswer: 2*d - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 5*o**5 - 2*o**5 + (-12 + 13 + 6)*(o**5 - 4*o**5 + 4*o**5 + (0*o**4 - 2*o**4 + o**4)*(-2*o - 5*o + 3*o)).\nAnswer: 36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/143)\/((-565)\/1469)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 7*n**3\/3 + 6*n**2 + 5*n - 4. Let q(a) = a**3 - 22*a**2 + 20*a + 17. Let h be q(21). What is the units digit of w(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - ((29 - 6 - 17) + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, 47, 314, 833, 1688?\nAnswer: 2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 1. Let u be (-6)\/10 - (-3)\/5. Suppose u = 7*a - 2*a + 15, -p + 18 = a. What is the greatest common divisor of w and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 - (2 + -4 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -0.1, 1 in increasing order.\nAnswer: -4\/3, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((-6)\/10924)*-3 - 5\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 - q + 11 + 3*q.\nAnswer: 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4996 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 42*y - 97. Determine j(-39).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154319695.\nAnswer: 5, 41, 181, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 16*z**3 + 2*z**2 - 11*z - 5. Let b be j(10). Suppose -4*t + 3*t = -b. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.2. Let t be (-2)\/(-7) + (-5829)\/630. Let v = -55\/6 - t. What is the third smallest value in v, -1\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 51166*s**3 + 5*s - 3. List the prime factors of b(1).\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6229194 less than or equal to -6229193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7766367 = h. Suppose 0 = 16*j + 531211 + h. Round j to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*x + 13, -28 = -4*u - 0*x + 4*x. Solve q = 2, -u*k - 8*q + 18 = -7*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.6, -3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 22 + 26 = 0. Solve 12 + 25*l**3 - 25*l**3 - 2*l + z*l**4 + 2*l**5 - 20*l**2 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -392*x**6\/15 - 7*x**4\/12 - 67*x**3\/2 + 11081*x. What is the third derivative of l(v) wrt v?\nAnswer: -18816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 + -3101?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223 and 217?\nAnswer: 48391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687\/(-10763) + 623\/188.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442732 and 183250?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.708 times -0.3?\nAnswer: 0.5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:26 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 409454 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2*(-9)\/6. Suppose -2*i + 261 = k*l, 0 = -2*l - 3*i - i + 166. What is the remainder when l is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11942, -23883, -35824, -47765, -59706, -71647?\n\"Answer: -11941*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, 5, -15, -5, 21 in ascending order.\nAnswer: -16, -15, -5, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 (base 13) in base 14?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8721846 is divided by 545114.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -47919 and -47921 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -382\/7*x**3 - 472\/7*x**2 + 0 - 104\/7*x - 2*x**4 = 0. What is x?\nAnswer: -26, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*z**3 + 96*z**3 + 187*z**3 - 995*z**3.\nAnswer: -1484*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 5*o + 58 - 46, -7*o - 36 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m + m)*(-5 + m + 5)*(-2*m + 2*m**2 + 2*m) to the form t*m**2 + l*m**4 + g*m + v + u*m**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300441 (base 6) to base 16.\nAnswer: 11209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 45 = -67. What is the least common multiple of 26 and g?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1477650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137 and 27537.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -15 (b) -2\/3 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217*q**2 - 27067*q**2 + 1707*q**2.\nAnswer: -24143*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191033758.\nAnswer: 2, 95516879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + f + f)*(-3*f - 2*f + 6*f + (-3*f - f + f)*(-1 - 3 + 6) + 3*f - 3*f + f)*(-2*f + 0*f + 4*f + (0 - 3 + 4)*(-5*f + f + f) + 3*f + 0*f - 5*f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1739.4 plus 12.1?\nAnswer: -1727.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 19182*p**3 - 95960*p**2.\nAnswer: 2*p**2*(p - 5)*(p + 9596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 336627853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9963890 to the nearest integer?\nAnswer: 3157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-5))\/4)\/(15\/75).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 + 4 = -4*o, 5 = -5*o. Let g(q) = 8*q + 1. What is the tens digit of g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -13)\/((-2)\/(-8)). What is the greatest common divisor of x and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -24\/7, -715 in decreasing order.\nAnswer: -5\/6, -24\/7, -715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 10*t - 13. Determine n(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (1390 - -1) - 1. Suppose 4*b + 4*r + a = 0, -2*b + 704 = -4*b + 2*r. What is b rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p**2 + p + (-16 + 16 + 7*p)*(7*p - p + 0*p))*(1 + 0*p - 2*p - 3).\nAnswer: -80*p**3 - 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1300) - (1 + sqrt(1300)))**2 - (-2 + sqrt(13) + sqrt(78)\/sqrt(24)).\nAnswer: -3*sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41444 - 82744 = -56*d - 37940 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 2136527206.957?\nAnswer: -2136527204.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 11.2.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 50440 - 25216 - 8*b**3 + 112*b**2 - 25226 to t + h*b + s*b**3 + o*b**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 14*x + 22*x = 3328. Calculate the greatest common factor of 611 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l - 3. Is m(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*s + 2372*s - 21323 + 12844 = 14615 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*a + 126280020, -3*n + 16073257 = -3*a + 110783242. What is n rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*p = 32, -4*p = 3*t - 0*p - 29. Let n = -132 + 974. Let o = n + -822. Solve b + o = -t*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3166, 6247, 9324, 12397, 15466, 18531, 21592?\n\"Answer: -2*a**2 + 3087*a + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (196 - 196 + 16*p)*(-1 + 1 - p) + (2 - 2*p - 2)*(2*p + 2*p - 3*p) + 24*p**2 - 4*p**2 + 15*p**2 + 138*p**2 as u*p + t*p**2 + c and give t.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 5*z, -20 = -4*z - 7*u + 2*u. Suppose z = 5*c + 15, 2*b - 23 = 2*c + 81. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 1457?\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4006, -4004, -4002, -4000, -3998?\nAnswer: -3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zabznsn. Give prob of sequence azn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304 (base 6) in base 13?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 18*d**2 - 17*d - 9. Calculate r(19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2679 (c) 0.2 (d) -0.039 (e) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*a = -v - 6*v, 3*a + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + 354\/14. Let k be 0 + 3 - (20\/(-5) + 3). Solve g - k*f = -4*g + q, -g - 4*f - 19 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-5202)\/85))\/((-10)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 2*l**4 + 20*l**3 - 21*l**3 + 3*l**4 to u*l**2 + p*l + z + n*l**3 + f*l**4 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317746770.\nAnswer: 2, 3, 5, 11, 962869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/2 - 118*t + 6962 = 0.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 21*f**2 - 75*f - 427. What is l(-6)?\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:36 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 70 = 3*h. Calculate the highest common divisor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)*p)\/p)**4*p**(-5)*p**(-4\/9) assuming p is positive.\nAnswer: p**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 447300 (base 10) in base 5?\nAnswer: 103303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244 and 12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = 0, -2*x = -2*y + 3*y - 3. Let d(p) = -2. Let z(w) = w**2 - 1. What is x*z(o) - d(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 662 + 1585 = 0. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 10\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 88*t = -92*t + 1239, -5*o - 3*t + 6195 = 0. Let j = o + -13627\/11. Let 6\/11*a + j*a**2 + 0 = 0. Calculate a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - 1 - -4 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 1. Let y be s(-2). What is the units digit of (-3)\/(y*6)*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**3 - 1 + 114*g - 3*g**3 - 2*g**3 + 0*g**3 - g**3 in the form q + a*g**3 + r*g**2 + x*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m + 37 - 11*m - 38. Suppose -3*o = -u + 20 - 7, -5*u + 29 = -3*o. Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17))*-3 + (2 + sqrt(17) - sqrt(17)) + -2)**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4978 and 56330.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 19 - 1. Suppose 4*j + 0*t = 3*t - 10, 0 = -w*j + 2*t - 12. Put 4, -2, j in ascending order.\nAnswer: j, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -101 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469.2 - -469. Sort 1\/58, -1, d in descending order.\nAnswer: 1\/58, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o**2 + 4*o - 4*o - 34 + 75 - 20.\nAnswer: 32*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 113*y**2 - 85*y - 221. What is t(5)?\nAnswer: 2179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446577418?\nAnswer: 2, 7, 31898387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6130 divided by 1226\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8775000 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 7786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3600 = -5*a. Suppose -3*p + 608 = f, 5*p + f = 294 + a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17116, -34387, -51812, -69391, -87124, -105011?\nAnswer: -123052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 816?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81.86551 years?\nAnswer: 982.38612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4529972, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 991680\/(-36155) - (24\/(-7) - -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245602 - -750729. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/6 + 2*r**2. Suppose -2*s = -q - q + 14, -q = -3*s - 15. Let z(n) = -q*n**2 + 3*n**2 - n**2. Give z(k(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.172630604 rounded to 2 dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) + (sqrt(132)\/(sqrt(36)\/sqrt(3)) - sqrt(11)) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 41, 30, 15, -4, -27?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0)**(1\/4)\/(v**(-4\/5)\/(v\/v**0))*v**(7\/2)\/v**(2\/17)*(v**(1\/2))**(10\/9) assuming v is positive.\nAnswer: v**(18323\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18575434 + -742430327\/40. Let j = 14675 - p. What is the common denominator of 51\/5 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/15856 and 33\/75952.\nAnswer: 75268432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 29*s**2 - 6*s - 6. Let t(u) = 56*u**2 - 11*u - 11. Let j = -175 - -181. Let a(k) = j*t(k) - 11*v(k). Let q(c) = 3*c. Determine a(q(r)).\nAnswer: 153*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 311, 624, 937, 1250, 1563?\n\"Answer: 313*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1419 = 4*m, m - 4*m + 2*i + 1070 = 0. List the prime factors of m.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Suppose -8*k + 6*k = -2*j - 8, 0 = 4*j + 2*k - 2. Let s(c) = -c**2 - 5*c - 3. Give j*s(q) + 6*r(q).\nAnswer: q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1364, 10, -3.\nAnswer: -1364, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 683*q**2 - 50318*q - 51000.\nAnswer: (q - 68)*(q + 1)*(q + 750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, -1\/5, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a**4*t**2 + 3799*a*t + 211958*t**2 wrt a?\nAnswer: 20*a**3*t**2 + 3799*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, 103?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 5:59 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (8 + -52 - -9)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*t = 200*t - 14. Suppose -4*h = 58*w - 62*w + 24, w + t*h - 3 = 0. Solve 3 + 2 = -w*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2363753?\nAnswer: 7, 43, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/(-4)*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y = 20. Let m be 5 + 51\/(-6) + 3. Put y, 1, m in increasing order.\nAnswer: y, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 1, p: 3, k: 4, b: 4, j: 4}. What is prob of sequence pbj?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 25 = 5*y - 1, 3*s = -y. Let l be ((-12)\/9)\/(4\/y). Calculate the greatest common factor of l and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 19*l + 3770 = 5*a, -5*a = 3*l - 3770. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - (-6)\/(-15). Let f(p) = p**3 - 11*p**2 + 24*p - 50. Let s be f(9). Solve 0 = -c - q - s, 2*q = 3*c - h*q - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10361565 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: Sort 1.53, 389, 4\/7, -778 in decreasing order.\nAnswer: 389, 1.53, 4\/7, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 0.02, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592 + 7234*y - 7236*y - 592.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/i**(-2\/17))\/(i\/i**(-12)*((i**(2\/33)\/i*i)\/i)\/i) assuming i is positive.\nAnswer: i**(-11188\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -25. Let w be -9*3\/(-18)*t. Solve s = w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -99*t**2\/2 + 12*t - 169. What is the first derivative of z(a) wrt a?\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15 - g**2 - 2*g - 37 + 7 + 14. What is s(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 272 = -84*c - 74*c - 320 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 4. Let a = 34 - 33. Let q be -6*(1\/(-3) + 0). Put t, q, a in ascending order.\nAnswer: t, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/590 and -93\/1180.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10420798 to the nearest 10000.\nAnswer: -10420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8706 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93056?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69873.37 micrograms?\nAnswer: 0.00000006987337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 6*7*-1. Let a = x + -19. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.395057891 rounded to two decimal places?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.6 (b) 0.33 (c) 3124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 3*v**2 - v - 1. Let r be p(-3). Suppose -41*h + 555 = -142. Factor -16*z**3 - 8*z - h*z**3 + 39*z**3 + r*z**4.\nAnswer: 2*z*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/2 + 83*k\/2 - 465 = 0. What is k?\nAnswer: -93, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324006914 to the power of 1\/3, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 65007*x**3 + 2*x**2 - 2*x - 2. Let w be g(-3). Let p = w + 955167. What is p rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 10*k + 5. Let t be x(9). Solve -p + 2 = 0, -4*f - 4*p + t = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -393940?\nAnswer: 61\/393940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 4, k: 2}. What is prob of sequence kkus?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606869*s - 2*s**3 - 606869*s - 10*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 57 - 597. Suppose 0*p = -5*p + t. Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4750)\/(349503\/174760 - (1 + 1)). What is b rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 20*a + 55. Which is smaller: a or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*2*3*3 + (3 + sqrt(68) + (1 + sqrt(68))**2 - (-1*sqrt(68) + 4)).\nAnswer: 68 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 8*p + 19. Let c be u(-5). Suppose -4*b + 2*r + 690 + 2052 = 0, -c*r = 4. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4.4. Let h = v - 0.4. Let a = h - 0.2. What is the closest to -1\/4 in -2\/17, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2 + 0*y + 8*y**2 - 12*y - 10*y**2. Let v(x) = 2*x**2 + 13*x - 3. Let f(g) = -3*j(g) - 2*v(g). Factor f(k).\nAnswer: 2*k*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p. Let t be u(3). Solve 3 = k - n, 0 = 5*k - 0*n - 4*n - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*6\/(-4)*(-372)\/(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/5 - 1088472*d**2 + 10884726*d\/5 - 5442364\/5 = 0.\nAnswer: -2721182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1534791, 1534553, 1534155, 1533597, 1532879, 1532001, 1530963?\n\"Answer: -80*x**2 + 2*x + 1534869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 1\/360*d**6 + 0 - 143*d**2 + 0*d - 1\/36*d**5 - 8\/9*d**3 - 11\/36*d**4. Determine s, given that u(s) = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-5.2523.\nAnswer: 8.92891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**4\/12 + 11*p**3\/6 + 12*p**2 - p. Calculate o(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8463 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*d**4 - 32*d**3 - 2815*d**2 wrt d?\nAnswer: -1824*d - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-18)\/10) + 61506\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from hiqqqiqiqiiqqqiiqii.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 1, l: 2, o: 4, w: 1}. What is prob of picking 1 l, 1 r, and 1 w?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t**2 + 7*t. Let j(w) = 6*w**2 - 1. Let i be j(1). What is the units digit of o(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by (-8 - 10\/(-2)) + 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347\/9022 + 549\/(-78)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*a - 773*a + 221*a + 230*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -695 - -615. Put -1, 0.5, u in descending order.\nAnswer: 0.5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 226825*t - 14082370.\nAnswer: 5*(t - 62)*(t + 45427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861532.\nAnswer: 2, 7, 29, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 + 329. What are the prime factors of 3*(-5)\/t*-46?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1238*l + 1. Let w be f(3). Let x = w + -8415. What is x rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 10*u + 9*u - 17*u)*(-2 + 8 - 10).\nAnswer: -8*u + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-24)*f**(1\/11)*(f*f\/(f**(-2\/29)*f)*f)\/(f\/f**(-4\/7)) assuming f is positive.\nAnswer: f**(-50045\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 11*w**2 - 14*w - 30. Determine y(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 9. Let s be d(6). Suppose 2 + 43 = s*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400*-6.44\nAnswer: -2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 2. Let h(k) be the first derivative of -k**4\/4 - 7*k**3\/3 + 5*k + 2. Let j(t) = 5*a(t) + 2*h(t). What is the third derivative of j(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q + 3. Solve -d - q*a + 3 = 0, 4*d + d + 23 = -a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86222*w**3 - w**2 - 42*w - 477 wrt w?\nAnswer: -517332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -54 + (0 - (-2 + -5 + 7))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from {h: 3, u: 1, z: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 743\/233 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -1\/16*i**4 + 3\/4*i**2 - 3*i + 1 - 1\/8*i**3. Let j(f) be the first derivative of m(f). Factor j(t).\nAnswer: -3*(t - 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 971412168 to the nearest 1000000.\nAnswer: 971000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 13172*z - 13170*z - 80 = 0, -4*z + 20 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 8 + 0*w**4 + 6*w**4 wrt w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209 - 207. Suppose 5*q + 1302 = 3*h, -s*h - h + 1275 = 4*q. Does 39 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*g + 1088 = -539 - 421 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 444360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 20, 0*w - 42 = -2*i + 5*w. Suppose 9*x - i*x = 2. What is the second smallest value in 1, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/5 - 2*b**4\/5 - 22*b**3\/5 - 16*b**2\/5 + 21*b\/5 + 18\/5 = 0. What is b?\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 11) in base 15?\nAnswer: e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 69*d**2 + 33*d - 64. What is j(35)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1382, -1419, -1472, -1547, -1650?\n\"Answer: -h**3 - 2*h**2 - 24*h - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5057 divided by 389?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oororonnoonww. Give prob of sequence now.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/14 - 388\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 167 (b) 0 (c) 12 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325954 is divided by 6268.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348301044 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 - -277. Suppose -4*x = 11 + 1. Put -5, 0, i, x in decreasing order.\nAnswer: 0, x, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3 + 7*q - 6*q + 0*q + 3*q. Let k(l) be the first derivative of 2*l - 3\/2*l**2 + 3. Calculate -4*c(s) - 5*k(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-6\/11)*u*u\/(u**(2\/13)\/u*u*u*u)*u*u*u*(u\/(u**(2\/9)*u))**(1\/10)*(u\/u**(2\/17)*u*u\/(u**(-1)*u))\/(u\/(u**(6\/5)\/u*u)*u**8*u) assuming u is positive.\nAnswer: u**(-179317\/109395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4 + 50*v**3 + 136825*v**2 - 684750*v - 821520 = 0.\nAnswer: -163, -1, 6, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = 5*s - 19*z - 24, 3*z + 11 = 2*s. Suppose 0 = -4*p + w + 9, -2*w - 6 - 4 = 0. Which is the nearest to p? (a) s (b) 1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10996604*g*x - 255764*x - 46 wrt g.\nAnswer: -10996604*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.96 - -16.99. Let b = 0.83 - d. Let x = 8.241 + b. What is x rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - m - 5, -x + 8 = 4*x - 4*m. Suppose o = x*a + 6*o - 348, a = 4*o + 66. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(7\/14). Suppose -2 = 2*o, -3*i + o + 7 = -0*o. Solve i - r = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + 7. What is the greatest common factor of g and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1023.899cm?\nAnswer: 10238990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 13141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91\/5 > 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 2*x + 2*x)*(-3*x**3 + 0*x + 0*x) - 3*x**2 + 12*x**2 + 16*x + 2*x**4 - 10*x**2 in the form w*x**4 + z*x**2 + c + h*x**3 + g*x and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8916.417 kilometers to micrometers.\nAnswer: 8916417000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4605888651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*o - 150, 150 = 5*t - 4*o + 2*o. Let y be 13\/t - (-6)\/(-18). Which is the third smallest value? (a) 2 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*o**2 + 71*o**2 + 4 - 120*o**2 + (-o - 2 + 2)*(3*o - 8*o + 3*o) + 3*o**2 - o**2 - 3*o**2)*(21 + 26 + 17).\nAnswer: 896*o**2 + 256","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -537, -1071, -1605?\n\"Answer: -534*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/((m\/(m*m**(-3)\/m))\/m))**(2\/17))**(5\/17)*(m**(2\/23)\/(m*m**(3\/7)\/m))**29 assuming m is positive.\nAnswer: m**(-1595\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:59 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*y + 20 = -5*i + 233*y, y = -3*i + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.08 - -23.82. What is b rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/4 + 5*n**3\/3 - 2*n**2 - 1. Let g(x) = x**2 - 4*x - 2. Let c be g(-1). What is the units digit of z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108339, 108320, 108289, 108246, 108191?\nAnswer: 108124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-1 - (-2)\/2). Let t be (3 - (1 - k)) + -13501. Round t to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-189)*9)\/(115\/966)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 482983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 778, 1155, 1532?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4189.9864 + -4190. Is v at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*d**3*r**3 + 13*d**3 + 13*d**2*r**2 - 642*r**5 - 74*r**3 + 6648*r**2 wrt r?\nAnswer: 96*d**3 - 38520*r**2 - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1649?\nAnswer: 1\/1649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/120 - 2*i**5\/15 - 5*i**4\/24 + 4*i**3\/3 - 2*i**2. Let h be u(-7). Let a = h - -17. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4727281 litres?\nAnswer: 472.7281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let z be s(0). Let n be ((-2)\/z - -4) + -1. List the prime factors of (n\/(-4))\/(2\/(-24)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686888801?\nAnswer: 241, 2850161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*y**2 + 111 - 111 to the form k + w*y**2 + m*y and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -656\/5*j + 16\/5 - 273*j**4 - 3184\/5*j**2 - 4156\/5*j**3 = 0.\nAnswer: -2, -2\/3, -2\/5, 2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*i - 601520 = -595637 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.32736\nAnswer: -0.0032736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 26 - 24, 2 = 3*c - 5*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 6*sqrt(143)*-3)\/(-1*(sqrt(11) + sqrt(44))) + -3 + 3.\nAnswer: -19*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 1 + 4. Which is greater: k or -6\/23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1384 - -1380. Let r(q) = -q**3 + q**2 + 21*q + 4. Calculate r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15225 is divided by 15197?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**2\/11 + 6*v + 72\/11.\nAnswer: 2*(v + 3)*(7*v + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 9*p - 38. Calculate the remainder when 27 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 8*z + 4*z)*(-8 + 8 - 15*z)*(4 - 4 + z).\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51\/12)\/((-13)\/9880). What is n rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9699 + 0.0301. Which is the smallest value? (a) 0.1 (b) 6 (c) i (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*n**3 - 331*n**3 + 0 + 663*n**3 + 0.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 9\/4, 3, -1 in ascending order.\nAnswer: -47, -1, 9\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-2)*704\/(-41184)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/(-63) - (9 - 4\/2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + -1 + 9 + -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 15.2. Let p = r + 7.8. Let y = -9.0000008 + p. What is y rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9526 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/19, -4\/5, 359 in descending order.\nAnswer: 359, 1\/19, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.00455 (b) -2\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 17 + f + 4*f - 7*f - f + 5*f**2 in the form v + m*f + p*f**3 + h*f**2 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -19. Let h = 8 + f. What is the third biggest value in h, 2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*j - 14*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1603343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 - 10*j**2 - 6*j + 1. What is the remainder when a(5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*k + 0)*(12*k - 425*k + 194*k) - 4 + 2*k - 3*k**2 + 4 to s*k**2 + j + w*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -1\/3 (c) -3\/8 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92080 divided by -25.\nAnswer: -18416\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from pcalciaupiii?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10 - 8 - 2*y**2 + 18. Let r(v) = v**3 - 4*v**2 + 2*v - 1. Let g be r(4). Let p(x) = -7*x - g*x + 9 - 9. What is p(s(n))?\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 57*j - 45*j. Let g = -15 + j. Solve -o = w + g*o - 19, 0 = 4*o - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119760031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -490000*r. Let n be z(-10). What is n rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6 + 26 = 0. Let n(u) = -9*u - 2. Let i(c) = 5*c + 1. What is k*n(h) + 7*i(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 5. Let y = 1 - -5. What is the remainder when 45 is divided by s(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4\/7 + 3113366*l**3\/7 - 1211719707414*l**2\/7 + 69058082702578*l\/7 - 9692338015504 = 0.\nAnswer: 1, 56, 778313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q. Calculate d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203026 + -363213528\/1789. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 5*s + 65. Is 4 a factor of t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14771 at most as big as 29539\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a - 3. Let k(d) = -4*d + 2. Let y(r) = -7*k(r) - 3*o(r). Let j be y(5). Determine w so that -2\/3*w**2 + 0 + w**3 + j*w - 1\/3*w**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 487921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-6))\/(6\/18). Let f be 2\/(-5)*l\/(-4). Suppose 6 = -5*s + f. Let k(a) = -4*a**3 - a**2 + a + 1. Give k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 1127396*z - 1. Let l(m) = -2*m + 6. Calculate x(l(k)).\nAnswer: 4*k**2 + 2254768*k - 6764341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/10 - (-8 + 245268\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -33. Let m be g\/6 - 2\/6. Suppose 7*f - 5*f - 40 = m. What is the highest common divisor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192822334 divided by -2.\nAnswer: -96411167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssbs when four letters picked without replacement from {b: 8, d: 2, o: 2, s: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-217) - 3902\/(-62). Let w(r) = 2*r**2 - 1. Let z be w(-2). Calculate the highest common factor of z and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 2*v**3 + 0*v**3 + (2 + 4 - 4)*(5*v**3 + 3*v**3 - 6*v**3) - 4*v + 4*v - v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 890*g**5*w**2 - g**3*w**2 - 3*g**2*w**2 + g**2 - 93*g wrt g.\nAnswer: 53400*g**2*w**2 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 2. Let f be t(-3). Calculate the remainder when (3\/f)\/((-7)\/49) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 19*l - 60 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2305\/21 - -329\/3. Suppose 5 = f + 5*k, -8*f - k - 23 = -3*f. Let j = -1 + 1. What is the nearest to j in u, 3, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 847 + 14. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3381 by 1127.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143997144 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36375033, 72750062, 109125091, 145500120, 181875149, 218250178?\n\"Answer: 36375029*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8339 + 8338.5. What is the nearest to 0.02 in -2\/5, u, 0.65?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -1. Let u = 30 + o. Which is the closest to u? (a) -0.4 (b) -2\/3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t\/((t\/((t**(-3)\/t)\/t))\/t))**(1\/84)\/((t**2)**(-33)*(t\/t**(-2\/9))\/(t\/((t**(-2\/31)*t)\/t)*t)) assuming t is positive.\nAnswer: t**(782731\/11718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*c = 64, 5 + 11 = y + 2*c. Let f be (-12)\/y - (-3)\/4. Is -1\/79 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19\/(g**(2\/39)*g))\/((g*g*g\/(g**(-1\/5)*g*g)*g)\/g**(-2)) assuming g is positive.\nAnswer: g**(2681\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/12 and 76\/703071?\nAnswer: 2812284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39491 is divided by 705?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-30) - (-178)\/(-445)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = -12. Let q be 9\/21*x\/3. Suppose -3*r + 8*r = -10. Which is the second biggest value? (a) -0.2 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:29 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:11 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 10. Calculate z(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -6.316?\nAnswer: 25.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -21*p**3 + 15*p**2 + 15. Let i = 124 - 122. Let v(g) = -38 + g**3 - 2*g**i + 2*g**3 + 74 - 38. Let s be (-154)\/10 + (-4)\/(-10). Give s*v(k) - 2*z(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6366\/119 - 372\/7. Factor 14\/17*b + 10\/17*b**2 + 2\/17*b**3 + w.\nAnswer: 2*(b + 1)**2*(b + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:22 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-5) + (-9)\/(-45). Let t(v) = -v**2 - 39*v + 2486. Let b be t(34). Solve b*m + c*a = 16, 20 = 5*m + 2*a - 0*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 34, 3 in decreasing order.\nAnswer: 34, 4, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 35*p - 8 = 34*p, p + 19 = 5*i. Solve 0 = -3*u + i, -2*u = 5*d - 6 - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 274*g.\nAnswer: 274*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -83159*i - 498935. Determine o(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 8*k - 57. Let z be i(5). Let d(m) = 144*m + 14. List the prime factors of d(z).\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tktktkzktkz. What is prob of picking 1 k, 2 t, and 1 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 404, 517, 632, 749, 868, 989?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22909\/5628 - -6\/469. Calculate the common denominator of g and 97\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -288. Does 40 divide (4*x\/(-4))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexeeexxeeqxeexk. What is prob of sequence xkx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3511 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165)*-2)\/sqrt(3))\/sqrt(5))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 446, -1, -4, 1 in ascending order.\nAnswer: -4, -3, -1, 1, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 235 - 3*q + 0*q + q.\nAnswer: -q**2 - 2*q + 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 728 + 107?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901892467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*k**2 - 2*k + k - k.\nAnswer: -103*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -610490 and 8.\nAnswer: -4883920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -314042044 (base 5) to base 13\nAnswer: -37088c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*x**2 + 64*k*x**2 + 212*x**2 wrt k.\nAnswer: -6*k**2*x**2 + 64*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25929017 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -581 + 584. Suppose -5*q - s + 6674 - 1910 = 0, -4*s - 2863 = -f*q. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - -3.5. Let n = 4.8 - s. Sort -4\/5, n, -1\/8, 1\/5 in increasing order.\nAnswer: -4\/5, -1\/8, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (11 - (2 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**3 + 35*d**2 + 40 + 221*d - 8*d**3 - 291*d = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - 0.4. What is the closest to w in -4, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*c + 2859570, 0 = 90*o - 89*o - 5. What is c rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.6 and -96.9367991?\nAnswer: 98.5367991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2349 + 0.2349. Which is the closest to 0.1? (a) t (b) 5 (c) 246 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1153593*z + 2 - 1153479*z.\nAnswer: 114*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 772156 and 1441?\nAnswer: 101152436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 + 2*o**2. Let y(n) be the second derivative of -11\/3*n**3 - 4 + n + 0*n**2. What is a(y(z))?\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 3) to base 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -618*s + 631*s - 117. Let z(a) = -a**3 + 4*a**2 - 2*a. Calculate the remainder when s is divided by z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*t + 990 = 0, 5*t - 3*t = -3*b + 594. Let j = -148 + b. Calculate the greatest common factor of 30 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 1)*(2 + 5*m + 0 - 12*m).\nAnswer: -21*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b. Let o(d) = -5*d + 4*d + 71072 - 71079. Calculate c(o(w)).\nAnswer: -6*w - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 4:51 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1258500 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*y + 360*y - 163*y - 76. Solve 5*m - 35 = y*q, -13*m - 11 = 4*q - 10*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16632)\/441936*36\/21.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-287)\/(-35588))\/(2*1\/16)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2\/9, -9.1, 1\/27, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 1, -2\/9, -3, 1\/3, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001696428 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 13*i + 8. Let r(g) = 4*g**2 + 14*g + 7. Let p(d) = 2*r(d) - 3*z(d). Let n = -3 - 7. Let t be p(n). Solve t = 3*s + 2 + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**2*d**2*y + 8*c**2*y - 2*c**2 + c*d**2 - 19*d**2 + y + 3 wrt c?\nAnswer: 20*d**2*y + 16*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411125200?\nAnswer: 2, 5, 547, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80392, -160289, -240186?\n\"Answer: -79897*k - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -75 + (48 + -51 - 25).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -26 + 76. Suppose b*s - 35 + 15 = 0. Factor -p + 2\/3 - 5\/3*p**s.\nAnswer: -(p + 1)*(5*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -1\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1337 - 1788529426.\nAnswer: -1788530763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j + 12 = -56*j. Suppose -4*a - 13 = 5*i - a, 35 = -j*i + 5*a. Is 13 a factor of ((-153)\/(-12) + -2)*(-40)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11554 - -11624. Solve -14*l + i + 28 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22063 is divided by 76.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28795250 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 take away 11?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + 122 = 0. Let a = 3042 - 3002. Calculate the remainder when h is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 10101000000100?\nAnswer: -10101000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1863\/31033 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114*w + 17570 = 1060*w + 100190. Is 1530 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/(o**12\/o))\/(((o**(7\/2)\/o)\/o*o)\/(o**1\/o)) assuming o is positive.\nAnswer: o**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - u**3 + 0 + 0.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2. Let b(m) = -m + 0*m - 2*m. Let g(q) be the second derivative of q**3 + 16*q. Let n(l) = 5*b(l) + 3*g(l). Give d(n(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -833 - -1523. Suppose 2*v - 4*b = 1832, 2*b = -2*v + 1154 + s. Suppose 3*j - 880 = -p, p - 2*j = 3*j + v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*28*(-3)\/(-36). Solve 2*o = c + 9, c = -o - s + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhvv when four letters picked without replacement from {h: 1, v: 11, m: 5}.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:24 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14660 and -2594.\nAnswer: 38028040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1131 + -1128. Let h(r) be the third derivative of 19*r**2 - 1\/6*r**j + 0 - 1\/12*r**4 + 1\/10*r**5 + 0*r. Give h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 817 + -806.6. Let y = i - 10.400728. What is y rounded to 5 dps?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 12538140?\nAnswer: 62690700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z - 3. Let h = -22 - -13. Let w(c) = 11*c - 6. Let q(d) = h*g(d) + 4*w(d). What is the derivative of q(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -324639 or -1?\nAnswer: -324639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1656*s - 13233. What is r(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g - 2*i - 2660008, -i + 6649996 = -5*g. What is g rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x**2 + 40*x - 5. Let i(y) = 17*y**2 + 33*y - 5. Give 6*i(p) - 5*v(p).\nAnswer: 37*p**2 - 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3defb + 3?\nAnswer: 3defe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9254572, -9254716, -9254860, -9255004, -9255148, -9255292?\n\"Answer: -144*z - 9254428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149654 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 16*u - 105. Let y be i(-21). What is j in -1\/8*j**2 + y*j + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 5*w**2 + 9*w. Let r(u) = 2*u**3 + 12*u**2 + 22*u. Let t = 211 - 211. Suppose -214*y + 211*y + 15 = t. Give y*r(j) - 12*v(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 - 2) + 1)\/1. Suppose 0 = -5*m + 2*m + a*i + 27, -m = 3*i - 20. Calculate the greatest common factor of m and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1194*q**3*w**2*z - 30*q**3*z + 20*q**2*w**3 - 6*q*w*z - 390*w*z wrt w?\nAnswer: 2388*q**3*z + 120*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -3816, -8586, -15264?\nAnswer: -23850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {q: 1, y: 2, s: 2, a: 2, r: 12}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*d + 195 - 36*d + 75*d as m*d + o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093487996 rounded to four dps?\nAnswer: -0.0935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttjttttjttjtttjtt. Give prob of sequence jjtj.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95064 a multiple of 466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - 4*q)*(393 - 757 + 394).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 + 8*z**3 + 11*z**2\/2 - 15*z - 721. Let g be 2*(-2)\/(8\/46). What are the prime factors of s(g)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1386, -1246, -856, -90, 1178, 3074?\nAnswer: 5724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) -2\/7 (c) 2 (d) -67 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5787 (base 9) to base 6.\nAnswer: -31511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.09 (c) 116\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12737 and 0.1.\nAnswer: 0.012737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226*m**4*v + 333*m**3*v - 500*m**2*v - 24*m**2 + m*v - 5*v + 2 wrt m.\nAnswer: -5424*m*v + 1998*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -7*d**6\/120 - d**3\/6 - 2*d**2. Let g be k(-1). Let r(s) = 4*s. Let u(z) = -17*z. Give g*u(y) + 26*r(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 263233, 526621, 790009, 1053397, 1316785, 1580173?\n\"Answer: 263388*u - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1247, 5101, 11537, 20573, 32227, 46517?\n\"Answer: 3*w**3 + 1273*w**2 + 14*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 - y. Let t be n(-6). Calculate the least common multiple of 38 and (-15)\/(-9) + 2\/t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*o + 600*o**2 - 1468*o**2 + 67*o to the form b*o**2 + s*o + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 15623?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.708 and 4.6.\nAnswer: 3.2568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1432941 tonnes to micrograms.\nAnswer: 143294100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -897*j + 43. Let w(v) = 448*v - 20. Let g(r) = -6*a(r) - 13*w(r). Let z(m) = -m. Calculate z(g(l)).\nAnswer: 442*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 - 6*h + 4. Let c be l(8). Suppose -7*z = -2*z + c. Let g(j) = -2 - j + 2 - j**2. Let i(y) = 6*y**2 + 6*y + 1. Determine z*g(s) - i(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:29 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l - 22. Determine u(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blbl when four letters picked without replacement from {b: 2, l: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -5, 5, 4, -1, 0 in descending order.\nAnswer: 5, 4, 0, -1, -5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 792\/5 - 3153\/20. Factor 9\/4*t**2 - 3\/2 - x*t.\nAnswer: 3*(t - 1)*(3*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7395795.\nAnswer: 3, 5, 11, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 37794.\nAnswer: 37794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 177.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - -0.08. Let o = i - 0.01. Let b be (4\/8)\/((-14)\/(-4)). What is the closest to b in o, 0.5, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-2*sqrt(175))\/sqrt(5) + sqrt(70)\/sqrt(18))\/(-6*(sqrt(405) - (sqrt(405) - sqrt(405)*2) - sqrt(405))))**2.\nAnswer: -175\/8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7322373.\nAnswer: 3, 103, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*f - 484*f + 17088 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15548 + 15548. Let r(t) = 13*t - 12. Give r(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 77470198?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 82332656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, 125, 212, 319, 452, 617, 820, 1067?\n\"Answer: a**3 + a**2 + 63*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -20801.\nAnswer: 5\/20801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r*r**(-2\/65)*r))\/r*r*r*r*r)\/r)**7 assuming r is positive.\nAnswer: r**(924\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 6\/19 (c) -0.02 (d) -3\/2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4247 + 4242. Let v be ((-20)\/(-6))\/2 + -2. Let r = 367\/5525 + 3\/221. Which is the nearest to 0.1? (a) r (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015195 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 - 291. Let p be (6\/z)\/((-69)\/(-5) + -10). Let j(g) = -g - 2. Let u be j(-4). What is the closest to -1 in p, u, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5061, 5371, 5681, 5991, 6301, 6611?\n\"Answer: 310*o + 4751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2922*r = 29491 + 8495 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 20. Let t be y(-19). Let h(a) = 2 - 264*a + 266*a - 17*a**2 - 10*a**2 + 31*a**2. Determine h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 350737*h + 2 + 701480*h + 12 - 350737*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -2*sqrt(68) + 3 - sqrt(68))*-5 - (-4 + sqrt(68) + 2)*3)**2.\nAnswer: -252*sqrt(17) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + 0.3. Let q = -90.1 + 89. Let r = n + q. What is r rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11614)\/(-12) + 111\/666. What is the greatest common divisor of 2552 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -0.34 (c) 1\/11223 (d) -1\/6 (e) -0.5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 3) in base 7?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 3. Let f(a) = 3*a - 2. Give -3*f(v) - 2*n(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 18279879?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 12*d - 10. Let p be ((-1)\/(-2))\/(d\/12). Suppose -82*y - 64 = -98*y. What is the third smallest value in p, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 324*p + 52247 - 65207 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3\/5 + 4119*q**2\/5 + 3*q\/5 - 4119\/5 = 0. Calculate q.\nAnswer: -1, 1, 1373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*x**2 + 9341*x + 514573 wrt x.\nAnswer: 68*x + 9341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -175f (base 16) in base 5?\nAnswer: -142413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.1 - 52. Let i = -30 + 32.1. Let u = i + k. Is -0.6 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/25)*q*q*q*q**3)\/(((q\/(q**(-2)*q*q))\/q)\/q*(q*(q\/(q\/q**(-5)))\/q)\/q))**13 assuming q is positive.\nAnswer: q**(4238\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 - 2*h + 6. Let v be b(5). Let o = -395266 + 395293. Put 4, o, -3, v in descending order.\nAnswer: o, 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5. Let p(x) be the third derivative of x**5\/60 - 7*x**3\/6 + 8*x**2. Let r(u) = 7*c(u) + 5*p(u). Let s(v) = -2*v**2. What is s(r(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9517 and -71.\nAnswer: -675707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 1 + 2 - 2)*(2 + 0 + 1) - 5*t + 3*t + 3*t to the form b*t + c and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 627\/165 - 1159\/(-95).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2716 - 2716 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23000531 + 40?\nAnswer: 23001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {i: 4, l: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 41. Determine x(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07317 * 1215\nAnswer: -88.90155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 2*s + 4. Let m(h) = h. Let i be -6*(3 - (-7)\/(-3)). Let w be m(i). Let o be b(w). Let j(c) = -c**3 - 5*c**2 - 2*c + 5. Calculate j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 - 1. Let u(h) = -45322*h + 3. Give u(c(b)).\nAnswer: -453220*b**2 + 45325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.586279 + -0.5.\nAnswer: -2.086279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - 30 - 57 - 105.\nAnswer: 8*m**3 - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000876 rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*w + 93 = 0, 2*b + 580*w - 140 = 586*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 1. Let c(m) = -2*m**2 - 55*m - 231. Let j be c(-21). Let d(h) = -2*h**3 - 14*h**2 + 14. Give j*r(v) + 3*d(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 179 + 165 = 0. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15461763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.414 + 4.414. Suppose 0 = i + 4*k - k - 11, -17 = 5*i - 3*k. Which is the closest to i? (a) 0.32 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*b + 60*b + 8*b**2)*(2 + 6 - 3) + (-3*b - 2*b + 3*b)*(0 + 0 + b) + 3*b**2 - 2*b**2 + 2*b**2.\nAnswer: 41*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103927753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = 5*s + 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 87. Let c be o(15). Suppose 4743 = 28*z + c*z. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12212, 12462, 12876, 13454?\n\"Answer: 82*q**2 + 4*q + 12126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 773651 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let d = 24 + -23. Suppose -s**r - 7 - s**2 + 0*s**2 - d + 8*s = 0. Calculate s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/74938 and -73\/44626.\nAnswer: 3971714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 1093, 2353, 4105, 6343, 9061?\nAnswer: 12253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 8*k**2 + 6*k + 8. Let p be h(-7). Let q = 0 + p. Solve 5*u = 0, -4*u = -2*d + 5*d + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/42)\/(459\/(-357)))\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 8*t**5 - 10362*t**4 - 9884234*t**3 - 36940590*t**2 - 19682766*t + 7383960 = 0.\nAnswer: -636, -3, -1, 1\/4, 1935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 12:51 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495589067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13d - 68?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1220, -42, -3, 4, 3.\nAnswer: -42, -3, 3, 4, 1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4590946, -9181896, -13772846, -18363796, -22954746, -27545696?\nAnswer: -32136646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/30 - (-32672)\/10210?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 7 (c) 0.113 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -5. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 49578*g**3 + 297549*g**2 - 446364*g.\nAnswer: -3*g*(g - 3)**2*(g + 16532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -661005\nAnswer: 19830.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 2, m: 4, f: 8, y: 4, q: 1}. Give prob of picking 1 f, 1 z, 1 y, and 1 q.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100.428 + -93.3. Let g = 29 - 22. Let a = g - v. 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: Add together -69224831.65 and -4.1.\nAnswer: -69224835.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*h**4 - 2*h**4 + 254*h**3 - 22 - 903*h**2 + 901*h**2 wrt h.\nAnswer: -48*h + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 divided by -22?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522306739.\nAnswer: 522306739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1698, 1543, 1388, 1233, 1078, 923?\n\"Answer: -155*x + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j - 2. Let s(h) = -15*h. Calculate r(s(p)).\nAnswer: -90*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etqx when four letters picked without replacement from txnnaqe.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 414 divided by 23\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 3*f**3 + 5 + 2 + 2*f**3.\nAnswer: -3*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-1 - 0))\/1. Suppose -v + c*v + 18 = 0. Is (v\/8)\/(4\/48) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 37*w + 9. Let h be o(-23). Let m = -290 - h. What is the remainder when 365 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 3.299934. Round d to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010010 - 10000?\nAnswer: 10001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321322331 (base 4) to base 7.\nAnswer: 4146642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189290 is divided by 189280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2341218 divided by 22\nAnswer: -106419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-c**2 + 4*c - 4*c) + 124 + 221*c**2 + 228*c**2 - 451*c**2 to the form o*c**2 + n*c + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1771 equal to -1774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1595 + -1597. What is the third smallest value in 0.2, -62, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, g: 2, h: 4}. Give prob of sequence hh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 1:05 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83785\/22 - 3811. Calculate the common denominator of p and -53\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 2*r**2 - 4*r + 3. Suppose 97*n = 34 + 63. Give f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - v + 4*z - 40 = -2*z, 7*v - z = -0*z - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 605 - 460. What is the highest common divisor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 = -2*h. Let b be (0 - -3) + h + 1. Let l(x) = 4*x**2 + 1 - x**2 - b. Let f(j) = -2*j**2. Give l(f(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 59 - 15 = 0. Let d = 1.9 - 2. Is d greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165026842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**6\/3 - 2*w**3 + 131*w**2\/2 + 92. Find the second derivative of i(u) wrt u.\nAnswer: 40*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-2) - 2)\/(-2). Suppose 5*w = 4*i + 45, -i + w - 10 = -n*i. Let k = i - -20. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2784 and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0572373ml in litres?\nAnswer: 0.0000572373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-4*sqrt(20)\/sqrt(4))**2) + sqrt(125) + (1*sqrt(125) - sqrt(125)).\nAnswer: -80 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.19 - 8.4162.\nAnswer: 1.7738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-95) - ((-179)\/5 - 0). Suppose 28*r = 40*r - t. Let z = 16 - 7. Put -5, r, z in ascending order.\nAnswer: -5, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)\/o**(-1\/3))\/(o**(-1\/2))**(-40) assuming o is positive.\nAnswer: o**(-298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -65?\nAnswer: -7\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75738 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69193793701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 365.\nAnswer: -17\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1032220112 (base 5) to base 13\nAnswer: 5cc436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let y(o) = o**2 + 3*o. Let m be y(w). Let c(g) = m*g - g - g + g. Let b(d) = -d. Determine b(c(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266097?\nAnswer: 3, 13, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 58, 3\/2, -1\/8, 0.24, -2.\nAnswer: -4, -2, -1\/8, 0.24, 3\/2, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 4, 37?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.05 (b) 4 (c) -4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -89*v + 48432 + 63992. Calculate the greatest common divisor of 1326 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25805.583 + 25793. Let o = h + 12.53101. Round o to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 142146\/71 and 2003 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 114.0000063. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/9*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 164, 708, 1650, 2990, 4728, 6864?\n\"Answer: 199*o**2 - 53*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 + 9*l**2 - 52*l - 396. Is m(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.3759 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 - a**2 + 3*a + 1. Let b = -9 - -16. Let g(y) = y**2 - 4*y**2 + 9*y**3 + 7*y + 2 + 0*y. Suppose -443*q = -434*q + 27. Give b*f(w) + q*g(w).\nAnswer: w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.336 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3. Let m(k) = 8*k**3 - k - 20. Give 6*d(n) + m(n).\nAnswer: 2*n**3 - n - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 527, 1244, 2321, 3800, 5723, 8132, 11069?\nAnswer: 14576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*h**2 + h + 0 + h + 0.\nAnswer: -355*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1057\/2098 - 4\/1049. Is 17\/7 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 896 divided by -1\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/425592 and -113\/48?\nAnswer: 851184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -15c?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113519 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81615, 163229, 244843, 326457, 408071?\n\"Answer: 81614*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 33691.\nAnswer: -168455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201\/4*c + 24*c**2 + 3\/4*c**3 + 51\/2 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2724190 by 1362095.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 + 2*g**4 - g**3 - 2*g**2 = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-110)\/4 + 14\/(-28). Let k = 55\/2 + y. Calculate the common denominator of -63\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 9. Which is the nearest to 2\/5? (a) r (b) 3\/2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10886758 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1559, -3120, -4679, -6236?\n\"Answer: d**2 - 1564*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:40 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**4\/12 + p**3\/2 - p**2. Let s(y) = 3*y - 4. Suppose u + 3*l = 2*u + 10, -4*l = -4*u - 24. Calculate u*b(v) - 3*s(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(80)*5*1 - sqrt(80)) + -4 - (3*(2 + sqrt(80) + 4) + -4))**2.\nAnswer: -144*sqrt(5) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 15*g + 12. Let q be r(-15). Let l = q + 21. Let x = -323 - -453. Calculate the remainder when x is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/2, 1\/2, -3.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-16)*((-56)\/105)\/(-2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 4*x - 1. Let i be (-1244)\/26 + (-30)\/195. Let n be i\/40*1*-5. Give t(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + -130. Does 30 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3 + 3*h - h - 2 + 4. Suppose -3*j = s + 11, -6*j = -j - 5*s + 45. What is i(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3376\/(-20)*55\/(-22)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.27287 years to centuries.\nAnswer: 0.2227287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2991762*q**5 - 655*q**2 - 932?\nAnswer: 179505720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (108 - 104) + (2 - 0 - 1) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406 - -601. What is the highest common divisor of 39 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 611835452 to the nearest integer?\nAnswer: 24735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvev when four letters picked without replacement from {e: 8, v: 8, h: 4}.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.58, 3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:31 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -244*l**2. Let x(g) = -75*g**2. Calculate x(k(i)).\nAnswer: -4465200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.05 + -2. Suppose 2 = -5*k + 6*k. Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264*21*69\/23184?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(25\/(-10)))\/((-7)\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 59.9651703 minutes?\nAnswer: 0.005948925625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + m = -130, 2*m + 3*m = 3*h - 100. Suppose 10*g = h + 105. What is the second derivative of -4*x + 5*x + x**4 + g*x - 9*x**4 wrt x?\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.4 (c) 0 (d) -2782710\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/15 and ((-3)\/(3\/4))\/(2340\/(-962))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -19\/2*k**2 + 15 - 49\/20*k**5 - 1\/6*k**3 + 0*k**4 - 3*k. Find the second derivative of u(b) wrt b.\nAnswer: -294*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -991*k**3 + 10*k**2 + 19*k + 4. What is the units digit of w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77 + 26 - 20*s + 35 + (-4 + 2 + 0)*(2 - 2 - 2*s).\nAnswer: -16*s - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 3*n**4 - 8*n - 10*n**4 + 91*n**4 + 157*n**4 + (1 - 3 + 3)*(4*n**4 + n**4 - 6*n**4).\nAnswer: 234*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:20 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6851577804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 - l**3 + 3*l**3 + (2 - 2 + 2*l**3)*(-3 + 3 - 1) + 2*l**2 - 2*l**2 - 2*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from {p: 3, m: 3, c: 12}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*d - 78*d - 100*d - 38*d as u + z*d and give z.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160600 and 19800.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-19)\/(-3040)*50)\/((-30)\/24*-367).\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**3 - 2*y**3 + 0*y**3)*(y - 3*y + y)*(-61 - 42 - 137 + (4 - 2 - 4)*(1 + 3 - 2))*(22 + 5 + 18) as i*y**2 + b + u*y**4 + l*y + f*y**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3929546+-1415.9992\nAnswer: -1415.6062454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102232 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + v**3 + 5*v**2 - 3*v**2.\nAnswer: v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {r: 1, h: 7, j: 3, p: 2, d: 5}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1392702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 3)\/(6\/15). Which is the nearest to 0? (a) z (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 68*4)\/(12\/(-6)). Let t(r) = -3*r + 3. Let q be t(-14). Calculate the highest common factor of q and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + i**2 + 3 - 2*i - 2 - 2*i**2 - 4*i**2 - 13*i**2 + (-2*i**2 - 4*i**2 + 5*i**2)*(2 + 9 - 15) in the form l + x*i**2 + q*i and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -17*z + 139. Let o be c(8). Factor 36 + 0*b**3 - 3*b**o + 243*b + 87 + 117*b**2.\nAnswer: -3*(b - 41)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 4 = 0. Let w(k) = -k**2 + 7*k + 2. Let j be w(8). Let l = d - j. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8857442 + 15124954. Let y = 6267513.99999936 - v. Let i = y - 2. Round i to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = -n. Let a(l) be the second derivative of l**4\/12 - l**3 + 3*l**2 + 4*l. What is the remainder when 51 is divided by a(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:49 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -76*1369\nAnswer: -104044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787221458?\nAnswer: 2, 67, 5874787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -161186 and 89.\nAnswer: -161097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5 - 5. Calculate the lowest common multiple of f and -2 + 25 - 3 - 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/27 (b) 3 (c) 1\/13 (d) 9 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -252*c*g**3*t - 10*c*g**3 - c*g**2 + 12*c*g*t - 2*c*t + 62*g**3 - 4*g**2 with respect to t.\nAnswer: -252*c*g**3 + 12*c*g - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -4*l + 6*b, -26 = -4*l + 7*l + 14*b - 12*b for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-11))\/((-20150)\/4433).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 16) to base 13.\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igdkdkikkidkikgdiig. What is prob of sequence ikgk?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 bigger than 1531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhhi when four letters picked without replacement from ixhhh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 33882.753.\nAnswer: 33882.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 13. Let f be o(4). Let v be (-2)\/5 - 224\/(-10). Let p = f - v. Solve 2*j - 3 = -p*b + 5*j, -b + 1 = -5*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Suppose -i*q + u + u + 75 = 0, -2*q + 46 = -4*u. Let v = q - 3. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.43 - 2.5. Sort h, -1, 0.2 in increasing order.\nAnswer: -1, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17)\/(4862\/(-44)))\/(15\/39))\/(372\/(-15))?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75551911313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92037, 737006, 2487655, 5896824, 11517353, 19902082, 31603851?\nAnswer: 47175500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 5. Let d be u(-6). Suppose 8*s - 4 = d*s. Suppose v = -s*m + 787, 0 = v + 5. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1731 and 404477.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) -5 (b) -0.03 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 643546*o + 12870520.\nAnswer: (o + 20)*(o + 643526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulmllmm. Give prob of sequence lm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 < 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 823*f + 7784. Determine u(-9).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64.1 - 65. Let v = -0.46 - 0.14. Let w = v - f. Which is smaller: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 553 = 4*a, -5*a - 265 = -2*u - 962. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*((3 - 4) + -1). Solve 0 = r - n - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (10 - 0) - -2 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/10 - 12\/(-20). Suppose -5*u = -c*z + 15, -z - 2*u = 4*z + 6. Let b(y) = -y**3 - y**2 + y - 10. Determine b(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1573) - (2 + sqrt(1573))) + sqrt(1573) + -5 - (sqrt(1573)*-2*-1 + -2*sqrt(1573)*-4))**2.\nAnswer: 198*sqrt(13) + 127414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -6513.\nAnswer: -6512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186\/27*6\/144*6*(-14)\/(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + -1) - 1 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10 = 8. Suppose -5*q + 3*y + 264 + 110 = 0, -s*q + 224 = -2*y. Calculate the greatest common divisor of q and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696300392.\nAnswer: 2, 31, 10872179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 0*b + 0*b + 0*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 15 = -33*h - 68 - 140, 0 = -4*h + 3*v - 21 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.79 + -5.29. Suppose -3*y + y = 2. What is the closest to 2 in y, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 2*p + 2. Suppose m + 4*b + 10 = 3*m, 14 = 4*m - 5*b. What is the smallest common multiple of 34 and q(m)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/92*(-16)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*-28 + 1. Calculate the remainder when (1\/(-3))\/(y\/17628) + 1 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:56 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.824 minus -32266?\nAnswer: 32266.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let o be (12\/10)\/(9\/30 + c). Solve z - 4 = 0, -5*g = -g - 3*z - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 18 - -18) + -31 + (-7 - -1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-16 - -17) - -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/120 + 13*f**5\/60 + 7*f**4\/12 + 5*f**3\/3 + 8*f**2. List the prime factors of i(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -72, -74, -76?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 7*s - 2. Let w be y(6). Let b be w\/(-12) - 14\/(-6). Let a(z) = z**3 - 8*z - 4*z**b + 3*z + 0*z - 6 + 0*z**2. Calculate a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19977 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.047 - -4.447. Let k = 0 - r. Let w = k - -4.8. Which is the third biggest value? (a) 2\/21 (b) 2\/13 (c) 1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -2*i - 1\/3*i**3 - 3\/2*i**2 + 0. Give o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11 (b) 1\/4 (c) -0.035 (d) -57 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*o = o, 2*w - 5*o + 7 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 8}. What is prob of sequence iooi?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17968*18.2\nAnswer: -327017.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 189864.\nAnswer: 4746600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 703776 and 6?\nAnswer: 703776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.01, 18, 4\/7, 0.05.\nAnswer: -0.01, 0.05, 0.1, 4\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 - 20*c**3 + 16*c**3 - 27 + 14 + 2*c in the form d*c + b + f*c**3 + y*c**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -565 - -457. What is the units digit of (72\/v)\/((-4)\/10374)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soob when four letters picked without replacement from {o: 2, s: 1, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3352 by 838.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -228*d - 1144. Let n be j(-5). Sort -48, 4, n, -5.\nAnswer: -48, -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/111762 and -20\/13977.\nAnswer: 173566386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3125 (b) -5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 1240?\nAnswer: 9920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1633 bigger than -1630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5110 and 1075\/18250*(-6)\/9*(-4)\/(-8).\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/9)*g)\/(g*g**(2\/27))*g\/g**(-4\/3)*g**(-9)\/g*g)**19)**(1\/31) assuming g is positive.\nAnswer: g**(-3401\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n**3 + 26*n**3 + 7*n**3)*(5*n + 0*n + 3 - n).\nAnswer: 88*n**4 + 66*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -8*r**3 + 312*r**2 - 306*r + 76 = 0.\nAnswer: 1\/2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehdis. Give prob of sequence isi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, 1, -2\/3, 0.5, -0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - 6*g**2 + 2*g**2)*(-g - 3 + 3)*(-17*g - 67 + 67) to c*g**3 + i*g + k + o*g**2 + f*g**4 and give f.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (39 + -33)) + 11 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 3*x = 17, 0 = 4*u + 4*x - 40. Solve 1 - u = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 3. Give i(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -17\/3. Let g(y) be the first derivative of 3*y**2 - q*y**3 + 1 - 7*y. Give g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 125.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 = -47*d - 8*d + 377 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -14*g + g. Let -10 + 492*x**g - 470*x**3 - 3*x**4 + 7*x**4 - 22*x + 6*x**2 = 0. What is x?\nAnswer: -5, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l**2 - 139. Let x(c) = -2*c + 7. Calculate z(x(s)).\nAnswer: 48*s**2 - 336*s + 449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -359058 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/80*25 - -14)\/(-62)\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -25*t**2 - 5\/24*t**6 + 0*t**4 + 0*t + 0*t**3 + 7\/20*t**5 + 0. What is the third derivative of v(g) wrt g?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let q(x) = -207*x. Calculate n(q(m)).\nAnswer: 207*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17713*a**3 - 1675*a + 51. Let h(d) = 2530*d**3 + 239*d - 7. Let n(p) = 29*h(p) + 4*y(p). Find the second derivative of n(k) wrt k.\nAnswer: 15108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44246 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 13*m - 52*m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*i = f + 2, -2*i + 8 = 4*f. Let a = 627 - 615. Let t be (a\/21)\/(10\/105). Solve 2*k - t = 4*h, -k + f = h + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -58*v + 4. Suppose 4*c = -2*z + 8, -5*z + 0 = -c + 13. Let q be w(z). What is the units digit of q\/(-4)*2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1595744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(4 - (-2 + 6)). Solve -q = 5*i - 2, l = -16*i + 21*i - 4*q - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 7. Let j be a(6). Suppose -3*c + 2*r + 20 = 0, -r + 4 = 2*c - 0*c. What is the first derivative of -b - c*b + j*b - 2 + b**3 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(130)*2)\/sqrt(10) + sqrt(52)*2) + -3.\nAnswer: -36*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 9 + 7 = 0, -1757*x + 2*v - 12 = -1753*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/36, 2, -0.3?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 12 - (4 + -3) - -3. Let y be ((-15)\/(-20))\/(j\/(-60)). Suppose 2*i = y + 9. Solve -2*v = x - i, x - 7 - 4 = -4*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5580 and 414?\nAnswer: 128340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*i**2 + 15*i**2 + 2*i**5 - 11*i**3 - 28*i**2 wrt i.\nAnswer: 120*i**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 - 8156\/(-52). Let o(r) = 0*r + 5*r + 1 - 4*r + w*r**2 - 2. Is o(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (-10 + 4 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 3*n**2 + 20*n - 2. Let a(f) = -f - 4. Let i = -5 - -2. Let o(j) = i*c(j) - 16*a(j). Differentiate o(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -5\/6*k**3 - 5*k**2 - 12*k + 0. What is the derivative of c(b) wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 5. Let t be c(-4). Suppose -8 = -2*z, -5*j + 6 = 3*z - t. Let i(o) = 16*o - 22*o - 2 + 10*o. Determine i(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*j = -38*j - 74*j. Solve 413*p - 397*p = j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, -0.001, -133\/5?\nAnswer: -133\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 86, 92, 98?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gngggnbnggbggyggbng. What is prob of picking 1 n and 1 g?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1) + (4 - (9 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -90, -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/5 + 26*i**3\/5 + 188*i**2\/5 + 56*i = 0 for i.\nAnswer: -14, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128313 is divided by 137.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (927\/105 - 9)*410\/(-246). Let z be (-1)\/((-3 - -1)\/(-2)). Which is the nearest to 1? (a) -1\/4 (b) l (c) z (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 66. Suppose -a = -2*w + s, -5*s - 50 = -2*w - 2*w. Calculate the highest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 3:03 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921564079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.436479 and -32.\nAnswer: 13.967328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 67 + 3 = 0. Sort 4, j, 3, -4 in ascending order.\nAnswer: j, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*b - 3*d, 4*b - b = 3*d + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 11. Let c(n) be the first derivative of 5*n**3\/3 - 214. Give x(c(y)).\nAnswer: -10*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/136? (a) -2\/221 (b) -0.11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (217\/(-42) - -5)*0. Which is smaller: g or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15 - 2*n**2 - 7 - 4*n - 6 - 5. Let g = 2 + -4. Determine t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88275020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**3 - 5*u**2 - 5. Let k(d) be the second derivative of d**5 - 7*d**4\/6 - 7*d**2 + d. Let o = -182 - -196. What is o*y(f) - 5*k(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2\/5 + 2886*k\/5 + 2883\/5 = 0.\nAnswer: -961, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371 and 5353?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/11 in -16, -3, 0.3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 44 = 2*q. Let b(p) = p**2 - 2*p + 22. Let m be b(0). Let v = 26 - m. Calculate the remainder when q is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60793112.\nAnswer: 2, 101, 75239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86621407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*d - 632*d + 132 = -308*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/43056 or -2133?\nAnswer: -2133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 3*a + 9 - 3*a**2 + 10*a + 2*a**2. Is k(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**5 + 6*r**5 - 3*r**5 + (2*r - 3*r + 3*r)*(0*r**4 - 2*r**4 + 11*r**4) + r**3 - r**3 - r**5)*(1 + 2 + 0).\nAnswer: 39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 13*m - 7*m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)\/(s\/(s*s**(-2\/9)*s)))\/(((s*s**3)\/s)\/(s\/(s**5*s))) assuming s is positive.\nAnswer: s**(-233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3044847?\nAnswer: 3, 13, 101, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -176935 not equal to -176936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 4*v - 20, 177*x - 2*v - 1604 - 1911 = -116*x - 3*v for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -4746988?\nAnswer: 4746992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 19\/399*-165?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let n(s) = 11910604*s**2. Give n(r(l)).\nAnswer: 47642416*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 2\/(4\/14). Let l be (0*(-2)\/(-2 - 2))\/(-1). Sort 3, w, l in ascending order.\nAnswer: w, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5364*x - 391*x + 3517*x to p + j*x and give j.\nAnswer: 8490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 46 + 32)*(0 - 3 + 0)*((0*q - 3*q + 2*q)*(-1 + 2 + 2) + 6*q - 2*q - 3*q) to r*q + h and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 6. Let k(p) = -2*p**2 - 9*p + 7. Let q be k(-5). Solve -h*o = q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j - 5. Let q be d(-7). Suppose -3*b + 4*z + 16 = -12, -3*b + 58 = q*z. Suppose b = 2*o + 2*o. Put -2, -4, o in increasing order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -9.755.\nAnswer: 0.9755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5))**(-33)\/(q**(1\/7)\/(q\/(q*q*q**(-18\/7)))) assuming q is positive.\nAnswer: q**(-412\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 3. Let x be d(-3). Solve -u - 4 = -a - 0, -u - 4*a + 16 = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/8*-7*(-2)\/70.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41*10701\nAnswer: -438741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r + 4*r**2 + 1 - 4*r**2)*(-3*r - 3*r - r).\nAnswer: 14*r**3 + 7*r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - o - 2)*(-27 - 1 + 6)*(o - 1 + 1) in the form j*o + b*o**2 + d and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 83. Suppose -l + 10 = -2*f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**8\/280 + c**4\/6 - c**3 + 10*c**2. Let m(w) be the first derivative of a(w). Find the first derivative of m(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 2*h + 10, 0 = z + 3*h + 8. Is z at most 3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 24. Let z be ((-6)\/q)\/((-2)\/1782). Let i = 164 - z. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooo. What is prob of sequence ooo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2\/73, -3, -2, -3\/92, -6\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20439 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1283*z**2 + z**3 - 577*z**2 - 706*z**2 + 7*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 104772?\nAnswer: 104772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(3\/7)*x*x**(1\/5)\/x)**9 assuming x is positive.\nAnswer: x**(828\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-570)\/(-80) + 2\/(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 - 3.11. Let q be (68 - 1) + -32 + 33. Let j be 1*1\/2*(q - 78). Which is the nearest to p? (a) 5 (b) 1\/12 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 4, -0.057?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 148.8. Let d = -3.5 + x. Which is the third smallest value? (a) 6 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 695\/11546 or 0?\nAnswer: 695\/11546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 44. Suppose 6*s = 2*s - 24. Let x = -2 - s. Solve f - u = x*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2682)\/2980)\/(24\/160)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8031 a factor of 659256759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, b: 4, h: 1, p: 3, c: 1}. What is prob of picking 1 c, 1 b, and 1 h?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -10. Suppose 0 = 3*c - 5*y - 0*y - 34, 0 = -2*c + 3*y + v. Suppose -c*p + 12 + 9 = 0. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*y + 222*y - 444*y)*(2 - 2 - 4 + 5).\nAnswer: -92*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 72*p - 875. Calculate j(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7775 and 18971?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 3*o - 2. Let m(n) = 11*n**2 + 7*n - 4. Let g(r) = -r**3 - 3*r**2 + 10*r + 22. Let w be g(-4). Calculate w*m(v) + 5*s(v).\nAnswer: 8*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-343)\/(-294)*1044\/812.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -747 - -806.8. Let d = 60 - g. Let s = -2.2 + d. Which is the smallest value? (a) s (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -257, -1213, -2799, -5009, -7837, -11277?\n\"Answer: v**3 - 321*v**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 2*g + 20 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02500916 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:48 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*f + 83 = c, 5*f = -5*c + 95. Suppose 4*d = -d - c. Let a(u) = -u**3 - 3*u**2 + 8*u + 9. Determine a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-141*70\/(-8225))\/((-1)\/45)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 3. Suppose -x - 1 = 5*h, h - 2*h + t = -x. Suppose l - 4*l + 4*q + 42 = h, 4*l - q - 56 = 0. What is the highest common divisor of l and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 18*p**2 - 2*p - 6. Let m be u(-18). Factor 26 + 66*q - 2*q**3 + 8 - 4*q**3 + 4*q**3 + m*q**2.\nAnswer: -2*(q - 17)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 42) + -43 + (-4 - 1 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-18)\/(-16272)). Let f = 2133 - r. Suppose -z - 2*z + f = 4*n, -z = -n - 565. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c. Suppose -y = 5*p - c - 7, 7 = y - 4*p. Let m = y - -28. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 102853, 411447, 925777, 1645843?\n\"Answer: 102868*x**2 - 10*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (-7 - (-31 - -36))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -7 - 4 - (-2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2255 + 22593\/10. Calculate the common denominator of -101\/134 and b.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/9324)\/(6\/56).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.80325*-0.125\nAnswer: -0.10040625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -661.501 and -8.007?\nAnswer: 653.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*p - 120774 + 121668 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from ddiadadiid?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i**2 + 2*i - 3. What is d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -110 times 0.19\nAnswer: -20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28142 * -3\nAnswer: 84426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -4*i - 40. Let y = 7 - i. Suppose 14207900 - 1747900 = y*v. Round v to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 - 1. Let x(q) = 72*q**3 + 13*q - 75*q**3 + 4*q**2 + 16*q + 4 - 29*q. Let w = 30 + -18. Let n be ((-2)\/2)\/(4\/w). Give n*x(l) - 12*k(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 284075651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4367\/1044 - -2101309\/5220. Let z = p + -1926\/5. Find the common denominator of ((-96)\/40)\/((-216)\/(-80)) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 65242 and -337006891.\nAnswer: -336941649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-44)\/12)\/(24\/(-18))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 131020 (base 4) to base 9\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = 0, -j - z = 3*z + 22. Let a be (j\/(-15))\/(503\/500 + -1). Let o be (189\/(-18) - (0 + 1))*a. Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 2*k. Let q(w) = -7*w**2 + 3*w. Determine 3*q(l) - 5*v(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**5 + 5*f**3\/3 - 10. Determine h, given that x(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-27)*(-2085)\/(-973)*(-3)\/(-5).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200200001121 - 0?\nAnswer: 2200200001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 2347239171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.1, 2\/13, -4, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 10. Let s(n) = -n**2 - 3*n - 1. What is s(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 - 76. Let x = -103 + i. Is -1*(0 - -1)*x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*j + 3680040 = 62*j. List the prime factors of j.\nAnswer: 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32053 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.142 - -0.642. Let v = -119\/2 - -58. Let c = 11\/6 + v. Put t, c, -1\/7 in decreasing order.\nAnswer: t, c, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*u + 18. Suppose 0 = 3*d - 8*d + u. Suppose d*r = r. Are r and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and 10046396 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**5 + 0*x**4 + 0 - 3*x - 1\/3*x**3 + 0*x**2 - 1\/21*x**7 + 0*x**6. What is the second derivative of b(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648, -1285, -1944, -2637, -3376, -4173, -5040, -5989?\nAnswer: -7032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63713, -63710, -63707, -63704?\n\"Answer: 3*k - 63716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5119 + -5112. Let p(n) = -9*n + 56. Give p(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -675, -431, 4.\nAnswer: -675, -431, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/8)\/(7\/28). Suppose 2*g = d*g - 4500. What is g rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20599.38731492\nAnswer: 20596.38731492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 53824030.3 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 4*r + 9 + 2*r. Let b be d(0). Suppose -a - 4*y - 6 = 0, 4*y = -3*a + b + 13. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inneeneediieneenid. What is prob of picking 2 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from zpkkpfkkzkpzf?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 4608.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.125 + 0.625. Suppose 327*m - 331*m = 16. What is the closest to -1 in 55, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(sqrt(1100) + 0) - (-3*(-2 + sqrt(1100)))**2).\nAnswer: -1750*sqrt(11) + 49680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.4, 6 in increasing order.\nAnswer: 0.4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*z - 4 = 0, 0 = 5*z + 10. Let q be 2\/(-6) + 37250\/447. Let k = q - t. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424579581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 1)*(0 - 8 + 9)*(-7 - 1 + 60 + (-3 + 7 - 2)*(1 + 3 - 6))*(u**3 + 0*u**3 + 0*u**3) in the form i + n*u + f*u**2 + l*u**3 and give l.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 371\/5 - 74. Suppose 121*b + 193 + 896 = 0. What is the biggest value in -5, c, b, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0*h + 2*h + 0*h)*(h**2 - 5 + 5) + 3*h**3 - h**3 - 4*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -1, -3 in decreasing order.\nAnswer: 15, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 271136.7 years in decades?\nAnswer: 27113.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 2*a, -6*z = -2*z - 4. Let g = -18 - -23. Calculate the smallest common multiple of ((-18)\/5)\/((-1)\/g) and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -336, -325, -308, -285, -256, -221?\n\"Answer: 3*r**2 + 2*r - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69965049 by 2120153.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -7.3\nAnswer: 160.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 5*z**5\/4 - 3*z**3\/2 + 15*z. Find the second derivative of w(h) wrt h.\nAnswer: 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 8*h**2 - h + 8. Let j be (-210)\/(-27) - 4\/(-18). Let c be k(j). Let l = -0.6 + 0.2. What is the closest to c in 1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-12)*246\/(72 - 113).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) 6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5446 (b) 23 (c) -1734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 20 + 48982*h**2 - 48978*h**2 - 18.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1129 - 1129 - 37*h**4)*(-4 - 1 - 3).\nAnswer: 296*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6968*v**3*w**4 - v**3*w**2 - 3*v**2*w**2 + 3*w**6 - w**2 + 10*w wrt w.\nAnswer: 167232*v**3*w + 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 818960 and 34640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a - 1. Let w be f(-1). Let h(y) = -y**3 - y + 3. Let p be h(0). Suppose -4*b + 23 - p = 0. Solve 1 + 2 = -5*u - 3*m, b*m = w*u + 32 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b**3 + 7*b**3 - 4*b**3 + b**2 - 4*b**3 + 5*b**3 - 4 to the form x*b**2 + n + f*b**3 + v*b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196217?\nAnswer: 7, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -2\/781 (c) -2 (d) 50.6 (e) -4 (f) 0 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 232874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47004 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(50))\/(sqrt(20)\/sqrt(250)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4557 + 7619. List the prime factors of c.\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 5 - 8) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11212222.\nAnswer: 2, 7, 800873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let o(t) = -t**3 - 4*t**2 + 3*t + 2. Let b be o(-4). Let u be 4\/b*(10 - 0). What are the prime factors of g(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0*h**3 - 24*h + 0 + 0*h**5 - 1\/6*h**6 + 0*h**4 - h**2. Differentiate d(i) with respect to i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 6*s - 2*s)*(-2 + 1 - 1 + 4 - 2 - 3 + (-3 + 0 + 1)*(3 - 4 + 0) - 4 + 1 + 5).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -37. Let m = -8 - q. What is the third biggest value in -2\/13, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-36))\/(28\/84)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 187038.13471?\nAnswer: -187033.13471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 2\/175*h**7 + 0*h + 5*h**2 + 1\/30*h**4 + 0 + 1\/75*h**5 + 0*h**3 - 1\/30*h**6. Factor k(o).\nAnswer: 4*o*(o - 1)**2*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.025 (c) 0.06 (d) 1.592 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 656730 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-1)\/(-4))\/(667\/16124)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-9) + -7 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -606 - -579. Which is the fourth biggest value? (a) u (b) 5 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*f = 76, 0*n - 2*n - 4*f = -40. Solve p**3 - p + n - 26 - p**2 + 3*p**2 = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - r**3 + 4 - 4*r**2 - r**3 + r**3. Let d be s(-4). Suppose d = -3*k + 8*k - 10. Let z(w) = -w - 1. Determine z(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -11 - 1. Let c be (-16 + -6 + 3)*-3 + 1. What is the tens digit of c + (-2)\/w*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*2\/4*-6. Suppose 0 = -p - 0*p + 16. Suppose -29 = -l*g + p. What is the highest common factor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*o + 4636 = 11*o. Solve -62*v + o*v + 144 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 8, q: 5, m: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 21 = -3*d + 9, -4*z = d - 10. Calculate the remainder when d is divided by 1341\/(-1134)*-6 + 2\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4 - 6*a + 10 + 16. Let l be q(5). Suppose p + 4*p - 5 = 4*x, -5*p - 3*x + 40 = l. Solve 0 = 4*o + p*j - 30, 3*o - 4*j = 5*o - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86555 is divided by 329.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from oxbooixixoixxoo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l - 2*j - 3 = -45*l, 3*l + 2 = -5*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5518*k - 2946608. Determine a(534).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 20. Let c(m) = -17*m**3 + 2*m**2 - m. Let n be c(1). What is the units digit of u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*l**2 - 51*l + 91*l - 40*l.\nAnswer: 559*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060360.\nAnswer: 2, 5, 19, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (-195)\/(-12)*(-2)\/(-8)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6789*z**2 - 3*z + 3*z - 378718*z**2.\nAnswer: -371929*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -201*n**2 - 3330*n + 7464 = 0.\nAnswer: -1244\/67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 185483367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxux when four letters picked without replacement from {u: 3, x: 13}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107773 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -129309605 + -10?\nAnswer: -129309615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 13*f - 54. Suppose -f*x + 22*x = 0. Let q = 290.1 + -290. Which is the closest to q? (a) -0.3 (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1749?\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**4 - 25*v + v**3 + 15*v + 11*v - 4 - v**2 as k*v**2 + c*v + u + q*v**4 + z*v**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -3, -7, 66, -5, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.07 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/164 and 29\/410?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -712\/5 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/3))\/d)**24\/(d\/d**(7\/9))**26 assuming d is positive.\nAnswer: d**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*c = 4, -3 = -5*q + c + 21. Suppose 2*y = -5*l - 19, 5*y + l + 2 = q*y. Solve y*f + f + 2*k = 0, 1 = 5*f + 2*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 - 139*d**3 - 3888*d**2 - 26156*d - 37856 = 0?\nAnswer: -104, -26, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*t + 426, -3*t - c + 3*c + 639 = 0. What is the first derivative of -t - 31*i - 18*i + 11*i + 166 wrt i?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 19*r. Let q(f) = f. Let o(l) = -l. Let p(x) = -2*o(x) - q(x). Calculate p(a(k)).\nAnswer: -2*k**2 - 19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) + (-3 + (-4 + sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153)))*5)**2.\nAnswer: -33600*sqrt(17) + 264400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -1.4. Let v = 4 - 3.9. What is the smallest value in -5, v, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37003 (base 8) in base 13?\nAnswer: 72c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 14) to base 11\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*k - 20, 0 = 3*k - 4*k + 3*s + 5. Let h be (3\/12)\/(9\/(-24)). Let x be 8\/(-9) - (-2)\/9. Which is the nearest to x? (a) k (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -103*x - 577. Let g(y) = -55*y - 346. Let b(w) = -3*f(w) + 5*g(w). Let p(z) = -2*z + 5*z - z. What is b(p(d))?\nAnswer: 68*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(-8)*27\/((-135)\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 9. Suppose -4*d = 3*q - x, 2*d + d = -q + 12. Solve 2*n - d*f - 4 - 8 = 0, -2*n - 6 = 5*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 - 1 = 0. Solve q*d = -2*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*r + 17327 = 0, 3*c - 3602 = -3*r + 9373. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*-26*52\/260.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 6*a + 2*a - 23*a**3.\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5237*r - 5239*r + 50, -2*r + 50 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295472 is divided by 598?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2. Let b(j) = 4*j**3 - 7*j**2 - 3. Let i(d) = 2*d - 20. Let r be i(11). Let l(u) = r*b(u) + 14*s(u). Differentiate l(f) with respect to f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + -0.6. Let w = 0.9 + i. Suppose -a + 3*a = -10. What is the second biggest value in w, 0, a, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3*(4 + -8)\/24). Put 1, -5, x, 6 in descending order.\nAnswer: 6, x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + y**2 + 7*y - 5. Let q(m) = -14*m**3 - 3*m**2 - 29*m + 20. Let i(j) = 9*n(j) + 2*q(j). Give i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 5.77071?\nAnswer: -5.97071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, u: 1, j: 2, o: 1, w: 1}. Give prob of sequence cw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*a - 3*j, -3*a - 4*j = -a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.4 (b) 0 (c) -2107 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(931) + sqrt(931) + 5)**2 + -3)*5 + 4.\nAnswer: 1120*sqrt(19) + 18929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 26.3599\nAnswer: -26.3599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/56*9*(-5776)\/(-3762)*55\/30?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + t - 6, 0 = 203*v - 199*v - 5*t + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/17 + 8*i**3\/17 - 6*i**2\/17.\nAnswer: -2*i**2*(i - 3)*(i - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000206157293 rounded to seven dps?\nAnswer: -0.0002062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50c0 (base 13) in base 9?\nAnswer: -16248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 - 5*z**4\/8 + 7*z**3\/2 - 13*z**2. Let m(o) = 3*o - 4. Calculate 11*m(c) + 2*s(c).\nAnswer: 2*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7518 - -20450. List the prime factors of d.\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1453, 539?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwweeeweeeeeeeeee. What is prob of picking 3 e?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = b - 6, -2*i + 16 = -0*b - 4*b. What is the units digit of 2\/1 + (-4)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - -b?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - 2*sqrt(704)) + -4 - (sqrt(704) + (sqrt(704) + sqrt(704) + -1)*1 + sqrt(704)))*-5.\nAnswer: 15 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -2985381\nAnswer: 597076.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 - 738*f + 3715 = 0.\nAnswer: -743, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536567952.\nAnswer: 2, 3, 11178499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Find the second derivative of -2*u + 0*u**4 + 0*u**4 - 2*u**v - 2*u wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 3*c**2\/2 - 8. Let r(x) = x - 26. Let o(i) = 4*i - 122. Let z(k) = -3*o(k) + 14*r(k). Determine m(z(v)).\nAnswer: 6*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n = -44*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 208\/3 - 215\/(-129). Suppose -49*n = -j*n - 66. Sort -2, n, 2.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8197 - -32763\/4. Find the common denominator of n and -73\/1574.\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 16665236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)\/((-1)\/(-3)). Suppose 0 = -4*k + 4*p + 8, 2*k + 136 = 26*p + 92. Put 2, a, 9, k in descending order.\nAnswer: 9, k, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 0.5, 0.1, 0, 0.13, 1889?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 8*u**3 - 199*u + 199*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003389337 to 6 decimal places.\nAnswer: 0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 132. Let f(s) = -s**2 + 5*s + 25. Calculate the lowest common multiple of f(8) and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 103 + 52 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1768 and ((-315)\/10)\/9*(-11 + (-2321)\/77).\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30175289 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20822939, -20822946, -20822953, -20822960, -20822967?\n\"Answer: -7*m - 20822932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 46*d**2 + 143*d + 6106. Calculate n(38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/21137 and 31\/5.\nAnswer: 105685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 3*v - 3*v)*(-195*v**2 + 392*v**2 + 524*v**2) to m + c*v**2 + l*v**3 + z*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 42. Let q(r) be the third derivative of -1\/20*r**6 + 0 + 0*r + 0*r**5 + 1\/70*r**c - 1\/2*r**3 + 1\/4*r**4 + 4*r**2. Factor q(v).\nAnswer: 3*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552213567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2407 + -2402. Sort k, 4, 1.4 in descending order.\nAnswer: k, 4, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 1\/12*h**4 + 0*h**2 + 0*h**3 + 0 - 3\/40*h**5 + 1\/84*h**7 + 7*h + 0*h**6. Factor z(d).\nAnswer: d**2*(d - 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 29204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 27 = -11 - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 72*v**2 + 40*v - 12. Let r(l) = 15 + 29*l**2 - 10 - 10 + 16*l. Let a(k) = 12*r(k) - 5*u(k). Find the second derivative of a(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9185*i - 79207 + 29933 = -265446 - 582923 for i.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(6*t**3 - 19*t**3 + t**4 + 10*t**3).\nAnswer: -t**4 + 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + z + 37 = -2*q, 133519*z = q + 133529*z - 4 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -704382281 + 2?\nAnswer: -704382278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2803*t + 16823. Determine o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-126)\/196)\/((-6)\/(-184) - 0\/2). What is the second smallest value in 0.18, 3\/8, z?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -14. Solve y*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*616*(-9)\/(-297).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -211. Put -0.5, k, -3\/7 in ascending order.\nAnswer: k, -0.5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2*n**4 - 6*n**2 + 4*n + 133 - 2\/3*n**3. What is the second derivative of p(x) wrt x?\nAnswer: 48*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1839*m + 61193 = 109007 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -20?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -54*l**2 + 349*l + 94. What is r(7)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 1. Let y = 12 - 8. Let u = 2 - y. Let w(z) be the second derivative of -z**2\/2 - 1442*z. Give u*w(i) - x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**2 + 14. Let u(c) = 3*c. What is t(u(a))?\nAnswer: 108*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 + 4*p**2 - 4. Let h be -1 - (5\/(-1) + -1). Let t(c) = -4*c**3 - 2*c**3 - 12 - c**2 + h*c**3 + 13. Let w = 8557 + -8556. Give w*q(k) + 6*t(k).\nAnswer: -2*k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 + 4*i - 3. Let w be g(2). Let d = 222 + -223. Let j be 4 + d*28\/8*-2. Calculate the highest common divisor of j and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7690 + 34*a**2 - 7690 - 36*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 2*m + 2*m)*(2*m + m**2 - 2*m) + (-2*m**2 + 4*m - 4*m)*(-2*m + m + 2*m) to the form l*m + q*m**3 + o*m**2 + r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8664 by 6.\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u + 207. Calculate the remainder when u is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from caccaccaacac?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48391 and -4?\nAnswer: 193564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/297*(-6)\/5.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 0*g)*(1 - 18*g**2 - 2 + 5*g**2).\nAnswer: 13*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33412 - -31?\nAnswer: 33443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u**2 + 4*u + 2. Let s be h(-1). What is the highest common factor of s and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1542, 3071, 4588, 6087, 7562, 9007, 10416, 11783?\n\"Answer: -n**3 + 1536*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -777?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48965408*f**2\/21 - 19792*f\/21 - 2\/21.\nAnswer: -2*(4948*f + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 732736?\nAnswer: -21\/732736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*f - 5*t, 5*t = 4*f - 14 + 34. Suppose f = 21*k - 44*k + 497283. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 64 + 88 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 69088356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22514 (base 6) in base 2?\nAnswer: 110010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83 - 57 - 85 - 2*m**3 - 3*m + 8*m**3 + 3*m + (2 - 1 + 1)*(2*m**3 - 3*m**3 + 2*m**3).\nAnswer: 8*m**3 - 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22\/173 (b) 3 (c) 13\/6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:34 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -30. Is -0.1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 26. Let i(c) = 3*c + 1. Let w(v) = v. Let s(y) = i(y) - 4*w(y). What is the tens digit of s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x - 10*x - 11*x - 14*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-112)\/84)\/((200\/(-15))\/5). Suppose -5*g - 3 = 12. Sort g, f, 4 in descending order.\nAnswer: 4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/5)*n)**28)**(-40))**(-16) assuming n is positive.\nAnswer: n**10752","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 4703368*f\/7 - 671910.\nAnswer: 2*(f - 2351685)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = -20. Suppose -y*k + 2*k + 6 = 0. Suppose -7*z = -k*z - 24. What is the remainder when 22 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 - 7 - (-237 + 282) - (105 - 1)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 36 = -2*h. Suppose -4*i + 2*g = 12, -h*g - 7 + 4 = i. Let p = i - 30. Which is smaller: -32 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 23*y**2 - 6*y + 83. What is w(0)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.975 - 36. Let i = h - -5. Let c = i - -0.02561. Round c to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 4*j + 81. Let y(r) = -2*r**3 - 4*r**2 + 3*r + 9. Let l be y(-3). What is the greatest common factor of l and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047147871 to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19234752371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 9 = 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a + 43*a - 13*a + 9*a**2 - 17*a.\nAnswer: 9*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*u**3 + 26*u**3 - 23*u**3 + (4*u**2 - 3*u**2 + 2*u**2)*(u + 5*u - 3*u) - 3 + 3 - 3*u**3 - 4*u**3 + 4*u**3 + 2*u**3.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -37*g + 39*g - 3*f, 3*g - 4*f - 6 = 0. Solve -g*w - 24 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83318, -172961, -262604, -352247, -441890?\n\"Answer: -89643*n + 6325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4524117 and 2\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*d, -3 = -5*z + 6*z. Solve -3*m - m = d*c + 12, -2*c = 5*m + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 4*l - 0*l - 12, -u + 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/16*(1 + (-21)\/9). Let r(w) = -w**2 - 2*w + 1. Let d be r(1). Let c = 6 + d. Solve c*o - 2 = k*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1217 + 4702. List the prime factors of j.\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Suppose -2*f + 5 - 1 = 0. Let k be 0\/f - (-24)\/(-4). Let b(y) = -8*y + 2. Give k*q(x) - b(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 61. Sort 1\/5, 5, 11, d in increasing order.\nAnswer: d, 1\/5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 75 = -5*z - 90, z = 3*l - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/49 and -38\/77.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8*1.3.\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 8*t**3 + 10 - 4 to the form c*t + q*t**2 + l*t**3 + z and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103501977 greater than or equal to 103501974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7441162 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 95692, 191379, 287066?\n\"Answer: 95687*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3898 divide 2658487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63100697 rounded to the nearest one hundred thousand?\nAnswer: 63100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -33. What is the second derivative of 4*i**5 + 33*i + 28*i**5 - t*i**5 wrt i?\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 + 43384*d**2\/5 - 17353*d + 43382\/5.\nAnswer: -(d - 43382)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5002.511 * -81\nAnswer: 405203.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:11 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*n + 322*n - 689*n - 72 = 0. What is the second biggest value in 31\/3, -1\/3, 20, n?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0617*-1\nAnswer: -0.0617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 2, w: 7}. Give prob of picking 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2057*c + x = -2060*c + 10, -c + 2*x - 48 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11201, 3, 2, 1\/4, 1\/21.\nAnswer: -11201, 1\/21, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. What is the second biggest value in -0.2, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.47. Which is the second smallest value? (a) -0.5 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 3*g. Let a(t) = 2*t + 1. Let k(y) = a(y) + u(y). Let x(r) = -12*r**2 + 3*r - 3. Calculate 3*k(v) + x(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8a23b (base 12) to base 4.\nAnswer: 22030103033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349598 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 150810270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1693?\nAnswer: 2\/1693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4422549\/8 greater than or equal to -552818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*((3*i + 0*i + 3*i)*(3 - 1 - 3) - i + 0*i + 0*i) + 0*i - 3*i + 0*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0d + -12?\nAnswer: -d21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9735 + 2.1735. Which is the closest to -5? (a) -16 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.22. Let i = 1.78 - g. Is 3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, 2 in ascending order.\nAnswer: -37, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9*d + 3*f = -43, -4*f = 4*d - 64. Suppose 123 = 4*k - 3*n, -k = -2*n - d - 19. Suppose 4*z - k = -6. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 21500*f**2 + 42961*f - 752430.\nAnswer: (f - 5)*(f + 7)*(f + 21498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38924 + 38924 - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3048.441 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 19*x**2 + 672*x - 673. What is h(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -32*v - 23*v**3 + 34*v + 50*v + 18*v**3 + 108*v**2 + 13*v**3 = 0?\nAnswer: -13, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-3))\/((-2)\/(-8)). Suppose -5*d = 4*y - 28, -y = 2*y + f*d - 22. Solve 4*n = -3*p - n - 7, p + 2 = -y*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 0.2 (b) 1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 503 and 115187?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 2*d - 14. Let s(c) = 5*c**2 - 10*c + 71. Determine -2*s(t) - 11*w(t).\nAnswer: t**2 - 2*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-105)*119\/(-34))\/(3\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (51 + -30)\/(1*-3). List the prime factors of 190*(y\/(84\/(-90)) - 2).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57800 to the nearest one thousand.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 4*z + 2*a + 10, 5*z + 3*a - 23 = 0. Find the first derivative of 8*r + 11 - 7*r + z*r wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j**2 + 2*j + 114. Let k be d(0). Let i be (-2)\/((-24)\/(-32)*(-16)\/k). What is the greatest common divisor of i and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*z - 31 = -248*z + 2*l, 6*l - 5*l + 74 = -z - 4*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m + 8. Is 2*m\/(-6)*-54 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*t**2 + 415*t**4 - 416*t**4 + 25*t**2 + 15 to b*t**3 + v*t + h*t**2 + w + s*t**4 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -40*c**2 - 41*c - 13. What is r(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 60432\/168 + -3*(-6)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3146? (a) 5 (b) -1 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 467101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*r + 1495*r = 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*l = -22 - 2, 5*s - 83 = -l. Let k = s - 13. Let b be (-50)\/(-20)*(-2 + k). Solve -4 = -v - b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 - 4. Let z(i) = 4*i**2 - i + 3. Let m(j) = 2*t(j) + 3*z(j). Let u be m(2). What is the units digit of u\/(-1 + (2 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 6 - (2*-10)\/1. Solve -4*b - g + 20 = g, 0 = 5*b + 4*g - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 6*i + 8 - 22.\nAnswer: -6*i + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29427023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 221665 + 48438 - 205893 = 0. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730057201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 428 = -0*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w - 11. List the prime factors of p(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 1186328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4147 + 4149. What is the third smallest value in 222, 0.5, a, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468790926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21196 + -21196. Solve o = 2*a - i - 7, i - 28 + 5 = -3*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:35 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by 397?\nAnswer: 95\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (4 - 12)) + -21\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**15)\/j)\/(j**8*j))**(-12)*(j**(-1\/3))**40*(j**(2\/3))**(-23\/5) assuming j is positive.\nAnswer: j**(-442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/((-4)\/(-10)). Suppose -o*k = a - 20, 4*a = 3*k + 12 + 68. What is the first derivative of 7*c**3 + 28 - a*c**3 - 8 wrt c?\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729 + 760 = -8*p + 1609 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-140)*8\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373417262 to the nearest integer?\nAnswer: 19324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31921, 127800, 287673, 511600, 799641, 1151856, 1568305?\nAnswer: 2049048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173760941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/4 + 5*y**2\/4 - 7*y\/4 + 3\/4 = 0. What is y?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 41 - 41.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/42*-3)\/(-2)*40.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 42. Let s = -31 + w. Let d = -1.52 + 0.52. Which is the closest to d? (a) 4\/9 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 26*j**2 - 2 - 19*j - 18*j + 37*j to the form t*j**2 + x*j + v + y*j**3 and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1637937 + 4508726. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 - 408*l + 47642 = 0. Calculate l.\nAnswer: -287, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550 is divided by (56\/(-12) + 5)*(-2 - -2) + 771.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:33 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(128)*1)**2 + -5 + -1*sqrt(800)*1.\nAnswer: -20*sqrt(2) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*q + 126*f**2 - f*q**3 - 5*q**3 with respect to q.\nAnswer: -3*f**2 - 3*f*q**2 - 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/58*(484\/33 + -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnwn when four letters picked without replacement from nnnwnnnw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h - 1. Let v be l(2). Find the third derivative of 0*n**3 - 7*n**2 - v*n**3 + 15*n**2 - 14*n**2 wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by -194\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/3 + 2290*a**2\/3 - 122692*a\/3 - 1457920\/3 = 0.\nAnswer: -10, 67, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/4 - 5*b**4\/4 - 5*b**3\/3 + 30*b. Factor n(c).\nAnswer: -5*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -25, 0, 29, 62, 99?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = -z. Suppose -5 = -5*p + 15. Suppose 2*a - 1 + 3 = -p*g, 0 = -2*a + g + 3. Calculate the remainder when z is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 33*l**2 + 84*l - 28. Let w be g(35). Suppose 2*v - w = -5*f, -v - 220 = -2*v + 3*f. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1244860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 14*m**2 - 10*m**2 - 134 + 134 as i*m**2 + k + w*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -702739\/10 + 70520. Let a = t + -245. What is the common denominator of a and -79\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9257200 to the nearest one hundred thousand.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45673, 91516, 137529, 183712?\nAnswer: 230065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1098, 1059, 1020, 981?\n\"Answer: -39*m + 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5480841303?\nAnswer: 3, 7, 167, 520943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/7 + 282376*c\/7 + 9967025672\/7 = 0?\nAnswer: -70594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -97, 26, 3\/8, -60 in increasing order.\nAnswer: -97, -60, 1\/11, 3\/8, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 - 1 = 0. Suppose 2*k - 6*k + j = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l + l + (-2*l + 4*l - 5*l)*(-6*l + 3*l + 15*l))*(l**3 - 4*l**3 + 2*l**3).\nAnswer: 38*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -10, -45, -94, -157, -234, -325?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 42.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 - 3*y**2 - 11*y**2 + (-4*y - 4*y + 6*y)*(-y + 7*y - y) to o*y**2 + g + d*y and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/60)\/(-4)*27\/(-3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125550 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1322 and -0.037.\nAnswer: 48.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*v**4 - 54*v**2 - 12384*v.\nAnswer: 84*v**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 397 and -4031.\nAnswer: -1600307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-1122)\/(-119)*2*182\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -73, -1, -5?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1175\/(-12))\/(6\/4). Let g = m + 131\/2. What is the second biggest value in g, -5\/3, -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 192 + 20. Let o = -126 - t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 10) to base 3.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 300411 - 600823 + 300412 + p. Let w(n) be the first derivative of -5*n**3 - 3*n**2\/2 + 2. Calculate w(x(g)).\nAnswer: -15*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/2 + 19*y**3\/2 + 51*y**2\/2 + 49*y\/2 + 8.\nAnswer: (y + 1)**3*(y + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r + 1. Let d(x) = -x**3 + 6*x**2 - 6*x - 7. Let w(q) = -4*a(q) - d(q). Let f be w(0). Solve 12 = f*p - 0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/(b\/((b\/b**(2\/7))\/b))*b**(-6)*(b*b\/(((b*b\/b**(2\/3))\/b)\/b))\/b)\/(b**(-2\/7)*b**(-2\/3)*b)**(19\/5) assuming b is positive.\nAnswer: b**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3838 - -3832. Let q(o) be the first derivative of -5*o**3\/3 + o**2 + 4*o - 1. Let c(t) = t**2 - 1. Give h*c(v) - q(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 1 - 5, 0 = 5*j + y - 1. Suppose -5*x = -f + 10, j*f + 10 = 3*f + 5*x. Sort f, 0, 2 in descending order.\nAnswer: f, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177 + -184 - (-12 + (1 - -4)) - 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 + 30*d**2 + 71*d + 7. List the prime factors of b(-9).\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s + 2 - 25*s**3 + 49*s**3 - 25*s**3 in the form x*s**3 + y + k*s + d*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 2\/401, -1, -5, -1\/2, 198, -2\/5?\nAnswer: 2\/401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o**2 - 87*o**2 + 47*o**2. Let d(g) be the first derivative of -3*g**3 - 7. Give d(l(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -335920000 rounded to the nearest 1000000?\nAnswer: -336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, p: 11}. Give prob of picking 2 f and 2 p.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -121*s**3 - 37*s**2 - 23*s - 33. Let m(u) = 27*u**3 + 9*u**2 + 6*u + 8. Let j(c) = -2*g(c) - 9*m(c). What is j(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0296 times -4?\nAnswer: 0.1184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from rrgrggg?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:04 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 40*d. Let x(g) = -41*g**2. Calculate i(x(b)).\nAnswer: -1640*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1144 and 52?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/12 - l**2\/2 + 14*l. Let a be i(0). Which is bigger: -2\/171 or a?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*r - 20*r + 13*r**4 - 20*r + (1 - 2*r**3 - 1)*(-2*r - 3*r + 3*r))*(215*r - 150*r + 76*r).\nAnswer: 2397*r**5 + 705*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232082642 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -471589, -1886366, -4244327, -7545472, -11789801, -16977314, -23108011?\n\"Answer: -471592*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 1, d: 3, n: 1}. Give prob of picking 1 t, 1 y, and 2 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -251642083*m**3 + 75091572 wrt m?\nAnswer: -754926249*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let i(n) = 23*n - 67. Let l be i(3). Let r(g) = 63*g**2 - 4 - 43*g**l - 26*g**2. Calculate r(a(k)).\nAnswer: -6*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 1\/8*u**4 + 0*u**3 + 1\/40*u**5 + 0 - u**2 - 3*u. Factor j(r).\nAnswer: (r - 1)*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 230*r + 922. Determine t(234).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -171, -165, -161, -159, -159, -161, -165?\n\"Answer: -g**2 + 9*g - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(288) - (0 + sqrt(288)) - sqrt(288)))**2 + 4.\nAnswer: -120*sqrt(2) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 16*b**2 - 5*b to the form x + h*b + p*b**2 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -42, -40, -38, -36, -34?\n\"Answer: 2*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -440, 22 in decreasing order.\nAnswer: 22, 4, 3, 1, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9399 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15299, -9633, -197, 13003, 29961?\n\"Answer: -d**3 + 1891*d**2 - 17189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:00 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m + 5. Let x = 12 - 7. Let k(h) = -x*h - 3*h + 16*h - 5*h + 2. Calculate -11*k(d) + 4*u(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0 + 0)*(-3 + 0 + 2).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -313.\nAnswer: 5\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -9 - -2)*(-3 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 9 = -3*h, -20*h = -23*h - 3*k - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Let p be (-1 - -3)*a\/1. Let r = -3 + 7. Is r smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6176675300 rounded to the nearest one million?\nAnswer: -6177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1776, -2, 21, 0.4, 4, 3\/7 in decreasing order.\nAnswer: 1776, 21, 4, 3\/2, 3\/7, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -494 - 307 + 2*k**4 + k**2 + k**4 + (2*k - 2*k + 3*k**2)*(3*k + 2*k**2 - 3*k) in the form l*k + d*k**2 + w*k**4 + n + a*k**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4677171 grams?\nAnswer: 467717.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 3*t + 4. Let q be k(3). Let x(a) = -47*a - 1170. Let f be x(-25). Let p = 1 - -2. Solve f*s - q*g = 36, 0 = -p*s - 3*g - g - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 2*t**2 - 13*t - 3. Let g(i) = 3 - 2*i**2 + 10 - 15 + 10*i - 22*i. Determine -2*c(j) + 3*g(j).\nAnswer: 2*j**3 - 2*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 14108566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*n = -13, 0 = -4*n + n + 6. Let o be 0*((-3)\/m - 2). Solve -5 = -4*w - 1, p + 2*w - 6 = o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1, 4, 0.1, 37, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (21150\/1645 + -1 + -4).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-3))\/1 + 1. What is the second smallest value in 0.1, t, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvccwvppcwccpgpcccg. Give prob of sequence pw.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 - 13*z + 23. Suppose -5*l + 272 = 3*x - 4*l, 3*l = 15. Calculate the remainder when x is divided by c(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**7\/140 + h**6\/80 + 9*h**5\/40 + 11*h**4\/16 + h**3 + h**2\/2 + 14. Let l(u) be the second derivative of w(u). Factor l(m).\nAnswer: -3*(m - 4)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 8*w + 10. Let q(n) = -3*n**2 - 8*n + 12. Let l(i) = -4*q(i) + 5*y(i). Let s be (-9)\/(-4)*8\/3. Is 15 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 0)*(10 - 3 + 1305*k + 2 - 7) to a + p*k and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**5 + 0*a**5 - 3*a**5 + 2)*(51 + 19 - 93 - 82).\nAnswer: -105*a**5 - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2128 and 2603760.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 3*p + 2. Let m be x(-4). Let j = 76 - m. Let i = 70 - j. What is the common denominator of -3\/7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.68 - -4. Let p = -130010 - -130010.320052. Let z = p - h. What is z rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(4 + 8))\/(24\/18)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3920000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2544 (b) -3 (c) 3 (d) -4 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from zsz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmjj when four letters picked without replacement from {m: 3, j: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 46. Let y = v + -27. Suppose 52 = 3*s + y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(5 + 1))\/((-7)\/(-4431)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1. Let d(l) = 37 - 25561*l + 25560*l - 24. Calculate d(k) + 4*i(k).\nAnswer: -k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-104)\/(-16) + -7 + (-277)\/(-2). What is the common denominator of -99\/14 and p*1*4\/(-32) - 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134630 (base 14) in base 7?\nAnswer: 126440360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*z**5 + 364*z**4 + 2*z**3 + 20*z**2 + 113*z - 467?\nAnswer: 8880*z**2 + 8736*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((6 + -5)*1)\/(-1). Sort -2, 5, x in decreasing order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3 + 70\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.82425 - 0.17575. Let u = -5 - -1. What is the smallest value in 3\/5, o, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464 and 16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (864\/(-2808))\/(6\/(-26))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 496 and 20.\nAnswer: 9920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/7 and 0 + 3 - (-6)\/(-22)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159860194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.663 and 143317153.\nAnswer: 143317152.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/42*33\/2. Solve 5*t + k = -0*t - 28, r = -2*t - 4*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.4 + 42. Let f = 5 + n. Let o = -0.19 - -0.25. What is the second biggest value in -1\/10, f, o?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 551432?\nAnswer: 551425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*t - 5, -2*x + 2*t = -7*x + 94. What is the least common multiple of x and 2588?\nAnswer: 12940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/2 (b) 0.4 (c) -1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y. Suppose 8 = -2*r + 4*v, 4*r + 2*v - 5*v + 6 = y. Let l(j) = -j - 9. Determine l(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and -145.\nAnswer: -7975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021002 - -102012222?\nAnswer: 121111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/4)\/r*r*r**(-1\/2)*r\/(r*r\/r**(1\/16))*r*(((r\/(r*r**(-1\/19)))\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-497\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295477 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*v - 26 = 0, u + 0*u - 7 = -2*v. Let j(g) = -1. Let f(a) = -3*a + 5. Determine u*j(q) - f(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 34 - 1. Let j = -32 + a. Find the first derivative of 5*n + 7 + 1 - j - 27*n wrt n.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) - (2 + sqrt(1900))))*6*5.\nAnswer: 60 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1 (c) 3\/4 (d) -10\/7 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6 = 2*q. Suppose 8 - 5 = k. Suppose 20 = 5*y - k*j, 0 = -y - y + q*j - 1. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) -8\/3 (c) -11\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197995841 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23*(-3)\/3)\/(-1). Let q = 8 - s. Let d = -11 - q. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.0333 (b) -3\/13 (c) 19 (d) -5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1514200?\nAnswer: -1514204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 - 90 + 285 - 91)*(2*l + l - 8*l)*(-4 - 12 + 15).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*a - 3*n - n + 183 = 100*a - 35*a, 0 = 5*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 = -2*t, 0 = 38*t - 35*t + 3*y + 6. Let x = -7 + 10. Let g = -18 + 9. Which is the nearest to -2\/3? (a) g (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 326822+-0.438742582\nAnswer: 326821.561257418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ellelllllelellel. Give prob of picking 2 l and 1 e.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 17*z + 3. Let k be u(-17). Let f = -6 - -4. Is (22 - (-4 + k)) + f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 138\/5 - 10\/(-25). Calculate the highest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9254, -18915, -28576, -38237, -47898?\n\"Answer: -9661*i + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j - 2574 = 189*j - 14334 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 9263*l**3 + l + 125978*l**3.\nAnswer: 116715*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 28 + d + 3*d - 22. Let b(v) = 3*v + 5. Let n = 321 + -316. Suppose -g = -0*g + n. Give g*b(a) + 4*x(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20309, -20506, -20659, -20744, -20737?\nAnswer: -20614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1701 - 1189. Let h = g - -45. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4 - 14*d - 5 + 18*d in the form w + f*d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 307, -3\/19, -22 in decreasing order.\nAnswer: 307, -3\/19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1872 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/(-3))\/(3\/(-9)). Let b(a) = -14*a + 3. Let t be b(-10). What is the greatest common factor of x and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - y**2 - y - 1. Let n be x(-1). Let w = -2 - n. Suppose w*v + 6 = 3*l, 0*l = 2*l + 2*v + 4. Is l less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51502*b + 251 = -51518*b + 91 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibiy when four letters picked without replacement from {r: 2, y: 1, i: 2, f: 1, b: 2, n: 4}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + 235. Let w = n - 336.5. Let s = w + 64. Sort 1, s, 1\/4, -2 in descending order.\nAnswer: 1, s, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) + (sqrt(48)*-2 - sqrt(12))) - ((sqrt(104) + sqrt(104)*1)*2)\/sqrt(8).\nAnswer: -17*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 2*t**3\/21 - 20*t**2\/7 + 192*t\/7 + 3552. Factor a(z).\nAnswer: 2*(z - 12)*(z - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 12*n**2 - 10*n - 41. Let k be (11 + -1)\/10*3\/(9\/39). What is v(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 1. Let j be f(-2). Is j < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 - (-5 + 2) - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 + -4.91. Let o = -0.17426 + 2.17426. Suppose -3*d + 4*d - 12 = 0. What is the fourth smallest value in o, 6\/5, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 35430256*s**3 - 78456298292944*s**2 - 627652086996864*s - 1255305307762944.\nAnswer: -4*(s - 4428786)**2*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 137450538 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/7623?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:30 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12067*x + 1 + 68*x**3 - 3*x**2 - 12067*x + 4*x**2 to r + t*x + f*x**3 + w*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 3. Let m = h + -11. Solve 0*o - 25 = -m*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60569*w + 96889?\nAnswer: 60569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147a33 + -5?\nAnswer: 147a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 7*y**2 - 3*y**2 - 3 - y**2 + 3 + (-1 + 1 + 2*y)*(-2 + y + 2) - 4*y**2 + 2*y**2 + 4*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 7*l = 11*l - 24, -5*k - 5*l = -20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 33. Let o be h(-15). Let r = -25 - o. Solve -r*y + 2 = -2*j, -1 - 2 = 5*j - 4*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 7}. Give prob of sequence oooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -0.3. Suppose 0 = -49*w + 51*w + 282. Let x = 145 + w. Is x not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -640 in -4, 4, -1\/37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3 + w - 3 + 5. Suppose 0 = -4*b + 20. List the prime factors of f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1154312.\nAnswer: -1\/577156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002366725 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:03 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3965b4 (base 14) in base 16?\nAnswer: -1e29f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 4*b + 5. Let s be c(-4). Suppose 0 = s*n - 0*n - 65. Solve -12 - n = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4 = i. Let b be -2*((-2)\/i + -1). Let v(n) = n**2 + 5*n + 2 - b*n + 1 - n**3. Calculate v(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 21*d\/2 - 11\/2.\nAnswer: (d - 11)*(2*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + u**5 + u**5 + (4*u**4 - 3*u**4 - 3*u**4)*(-2 - 3*u + 2) + 3*u**2 - u**5 - 3*u**2 + (-2 - 5*u + 2)*(491*u**2 - 39*u**4 - 491*u**2).\nAnswer: 203*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**20*d**(-23))\/(d**(1\/22))**(-37) assuming d is positive.\nAnswer: d**(-887\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33 - 37) + 4 + 0\/(-4). Find b, given that q*b + 0 - 5\/4*b**2 + 5\/4*b**3 + 5\/4*b**4 - 5\/4*b**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 14*w + 4*w. Let k(f) be the third derivative of f**5\/60 - 14*f**2. Calculate k(n(h)).\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 275 - 41. Does 12 divide n\/13 + (-3)\/(-9)*831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*(-4)\/(24\/(-33)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9077, -52102, -129073, -239990, -384853?\nAnswer: -563662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:37 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 36*f - 34*f + 9 = 0, 5*c - 30 = 5*f. Solve -2*x - 2*v = 0, -3*v + 6 + 6 = -c*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26463183, 26463190, 26463201, 26463216, 26463235, 26463258, 26463285?\nAnswer: 26463316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -63*z + 1389. Give s(27).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1065 + -233. Suppose 10*a - n = -142. Let k(z) = 70*z - 3*z**2 - 11*z**2 - a*z. What is k(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.37. Let z = -29 + 33. What is the second biggest value in 0.3, y, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 81*a**2 + 20*a - 12*a.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * -0.7.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 4*h, -c = 4*c - 4*h - 2. Suppose -7*o = -c*o - 10. Let l be (-3 + o)\/(1\/(-5)). Solve 2*i - 12 = r, -i + l*r = i - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2 = 4*y, -2*p + 12 = -3*y + p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 152771 in descending order.\nAnswer: 152771, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:32 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:07 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let y = -224 + 152. Let s be y\/(-16)*(-2)\/(-3). Let i(c) = 2*c**3 - 3*c**2 + 1. Let w(u) = s*b(u) + i(u). Differentiate w(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = 4*b - 25, -4*r + 20 = 4*b. Suppose x - 8 = -2*p, 4*p - 13 - 17 = b*x. Let o be (-180)\/18 - 92\/(-10). What is the nearest to 1\/5 in x, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 46*d**2 + 50*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8986 in 5, 0.1, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + j + 4*j)*(75 + 76 - 156) + 5*j - 5*j + j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*((-351)\/12)\/9. Let n be 45\/60 - r\/(-8). Solve 2*g + l + n*l = 31, 2*l = 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12621, 50479, 113569, 201885, 315421, 454171, 618129?\n\"Answer: -h**3 + 12622*h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3250 (base 6) to base 10.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9431573 + 127519.\nAnswer: 9559092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2.3 (b) 2\/9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((6 - 4) + -8)*1. Let t be -12 - ((-6)\/(-2) + w). Let i = t + 45. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from {v: 2, d: 3, o: 1, g: 2, r: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125212 - 42?\nAnswer: 125170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219477*g - 2816 = 219433*g for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiiiiiiuiiiuuiuiu. Give prob of picking 1 u and 2 i.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - 4*o)*(-1 + 2 + 0) - o + 0*o + 4*o - 11*o - 4*o + 0*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 648 + 13528 + 1238.\nAnswer: 9*u + 14118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.156875746 rounded to five decimal places?\nAnswer: 0.15688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 47405.\nAnswer: -8, 5, 47405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/147 and (3 + 162\/(-147))\/(10 - 238\/4).\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(g**3 - g**3 + g**3).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/7 - 2224*z - 453154\/7 = 0. Calculate z.\nAnswer: -29, 7813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2178*i - 638128. Determine m(-293).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/4*2\/28)\/(30\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/581 or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*c - 114*c - 108 + 408 + 5*c**2.\nAnswer: 5*(c - 15)*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34*(-2)\/(-6))\/((-4)\/12). Let z = -32 + s. Solve -t = z*l + 11, -21 = 3*l + 2*t - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + -1.08. Round j to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 4. Suppose 5 = s - v*j + 4*j, -5*s = j - 16. Suppose 50 = o + 2*r, -s*r = -10*o + 5*o + 185. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100.7*17\nAnswer: -1711.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 10. Let q be m(-5). Let c be (-6)\/(-2) - (q - (3 - -948)). Suppose -c = -19*g + 6*g. What is the lowest common multiple of g and 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66058.\nAnswer: 2, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 15948496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-7 - (-4 - -7)) - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/4 + f**3\/3 + f**2. Suppose 365*a - 9 = 362*a. Calculate j(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-72)\/5)\/(1\/(3 - 8)). Let j = -76 + i. Let c be 0 - 20\/j*1. Solve 5 = -2*y - c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16223 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 30*i. Let y(b) = 30*b**2 - 2*b + 2. Let o be y(1). Let w be a(o). Do w and 22\/73 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3415 by 5.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4 - 5 - 4*t - 9 + 6. Does 12 divide a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803994197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13761 + 13760.96. Which is the closest to 1\/2? (a) 15 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.6 less than -0.88?\nAnswer: 41.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/7*4*(2 - 9). Let x(p) be the first derivative of 0*p + 0*p**2 - 1\/14*p**f - 1 - 2\/21*p**3. Factor x(c).\nAnswer: -2*c**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffffffffuufu?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 2481 = -921. Do q and -62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 58.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11059, 0, 0.1, -59, -0.2 in descending order.\nAnswer: 11059, 0.1, 0, -0.2, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xrxpxxspspppxxxssp?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m - 53*m + 110*m = 112 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 29208.26 to the nearest 100.\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69346)\/440 - (6 - 4). Let p = s + 1798\/11. Let f = -7469 + 134479\/18. What is the common denominator of f and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4 and -119\/65712.\nAnswer: 65712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 - 7. Let q = 11 - 21\/2. Let z = 1.24 - 0.24. Which is the closest to 1\/4? (a) q (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(15\/(-6) + 2). Suppose 0 = -w*k + 7*k + 20. Let p(f) = f**2 + 3*f + 6. What is the smallest common multiple of p(k) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 7*h**5\/60 - h**4\/8 + h**3\/6 - h**2. Calculate the remainder when z(2) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/7 - 39174*z**4\/7 - 18291366*z**3 - 1015120836*z**2\/7 + 21834953325*z\/7 - 20691753750\/7 = 0. Calculate z.\nAnswer: -6525, -18, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Suppose -z*u + 38 = 8. What is the highest common factor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9434*p**2 - 186*p - 573. Let a be o(-3). Round a to the nearest one hundred.\nAnswer: -84900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -4324400?\nAnswer: 4324304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1482602 + -1482665.5785635. Let q = w + 45.578564. Let v = q - -18. What is v rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from {h: 1, g: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.8534ms in minutes?\nAnswer: 0.00053089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*i, 12 = -4*w + 3*i - 7*i. Solve w = 2*p + 2*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g + 20. Let m(a) = 2*a - 7. Let c(n) = 3*f(n) + 8*m(n). Let v be c(-4). Calculate the highest common factor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 9*(-3)\/(162\/(-8148))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 23*i - 19. Let t be a(-10). Suppose -11*p + t = 337. Is p bigger than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (592\/(-6) + 2)*54\/(-15). Suppose 4*x - 6888 = -v. Suppose 3*k - 4230 = -x. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15516, 15449, 15328, 15147, 14900, 14581?\nAnswer: 14184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 69. Suppose -a - 2 = 2*z, -4*a + 0*z = 2*z + 8. Sort a, 1, j in descending order.\nAnswer: j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(11 + (-2772)\/270)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 + c**2 - 1. Suppose -i = 7 - 2. Let b = -6 - i. What is the units digit of a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, w: 3, d: 5}. Give prob of picking 3 d and 1 n.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 4*p + 0*p - 2*p + 2*p - 2*p + (-6 + 3 + 2)*(0*p - 3*p - 2*p) + 2 - 2 + p)*(-4 - 8 + 11) to the form b*p + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 0*i**2 - 9*i**2 + i. Let j(y) be the second derivative of -y**4\/6 - 3*y. Give n(j(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 105 = 6*u. Suppose u = 5*d + 1. What is the lowest common multiple of d and (-1)\/(0 - (-2)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Suppose z*i - i = 0. Suppose s - 12 - 13 = i. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/7)\/((-44)\/231). Which is the nearest to -0.1? (a) -2 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*3\/(-48)*-15*(-3)\/9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1855627.88 and 0.3?\nAnswer: 556688.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c + 18647 - 19943 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -7.2895 (c) -0.2 (d) 1 (e) -3 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7076 - 7046. Sort -1\/9, -0.2, s, -4, 1 in descending order.\nAnswer: s, 1, -1\/9, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 7113*j\/2 + 114064.\nAnswer: -(j - 32)*(j + 14258)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 1:22 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -975\/7. Let o = 0.5 + -1.5. Let w = o - 0. What is the nearest to w in h, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -285, 0.1, 1 in descending order.\nAnswer: 1, 1\/5, 0.1, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/(-3)*3\/(-12). Let u = 13\/3 - r. Factor 0 - u*m + 1\/3*m**2.\nAnswer: m*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*b**2 + 41*b**2 - 2*b**2 + 2*b**3.\nAnswer: 2*b**3 + 218*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -2*l + 144. Suppose 0 = -3*k + l - 1. Solve -3*g + k*i = -23 - 11, 2*g = -4*i - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1414893 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339.2 + -339.200023235. What is n rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 2:56 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 950 + -16950916\nAnswer: -16949966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 6*u - 5*u)*(-113*u + 58*u + 55*u + 17*u**4).\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -11. Let w be h*(2 + 0) - -7. What is the greatest common divisor of 21 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 645 divided by 21945\nAnswer: 43\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i**2 + 2*i. Let p be s(1). Let a(v) = -2*v**3 - 27*v**2 + 15*v + 21. Does 2 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*h - 5707*h - 164915 - 74431 - 254245 = 0 for h.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**4\/12 + w + 84. Let c(n) = -17*n**2. Give k(c(z)).\nAnswer: 289*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -32, -78, -132, -188, -240?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -4*o + 8*o**2 - 12*o**3 + 13\/3*o**4 + 9\/2*o**5 - 5\/3*o**6 + 0. Solve z(q) = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22868011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**3 + 2*l**3 + 2*l**3)*(l - 4*l + 4*l) - 3*l**4 + 4*l**4 + 0*l**4 - 3*l**4 + 8*l**4 + 15*l**4 + (2 - 2*l - 2)*(-2 + 3*l**3 + 2).\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00364 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111111010011101 (base 2) in base 6?\nAnswer: 4524141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -29. Let n = -15 + t. Let i = 129 - 133. Which is the biggest value? (a) i (b) -3\/5 (c) 2\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5 + 42\/8). Suppose p*v + 4*s = 8*s + 6144, v - 3*s = 1538. Let l be -15*v\/(-9)*-1200. Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(16\/(-3) + 4). Suppose 13*o = 14*o - t. Does 5 divide 0 + 25 + 1 - o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r + 0*r)*((7 - 1 - 4)*(3 - 3 + r**2) + 2*r**2 - 2 + 2).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = -3*i. Suppose -2*u + 6 = -f, 0 = 2*u - 0*u + i*f - 6. Solve 0*c - u = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 817.5043ng?\nAnswer: 0.0008175043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k - 11. Give v(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 926*w**3 + 2*w**2 + 3*w - 3. Let k be n(1). Suppose 2*d - 5*o - 5825 = k, -13581 = -4*d - 5*o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3174219.\nAnswer: -5\/3174219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-4)\/14*19\/(-99598)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 12, 39, 80, 135, 204, 287?\n\"Answer: 7*t**2 - 8*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**3 - m**2 + m + 2. Let d be k(-2). Let x = 15 - 6. What is the common denominator of 23\/12 and (-1046)\/d + x\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1 in increasing order.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*14\/(-6)*1140\/(-40)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -r - 116, 5*i - 5*r + 36 = 331. Suppose 0 = 60*w - i*w - 21. Solve -v = 2 - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2932*u**3 - 2930*u**3 + 24 + 5866*u**3 + 5*u**2 in the form x*u + s*u**2 + m*u**3 + j and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*n**6*t**3 + 12*n**4*t**3 + 3*n**2*t + 1573*t**3 wrt n.\nAnswer: 9360*n**3*t**3 + 288*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8830083 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**8\/5880 - m**7\/2940 + m**6\/1260 + m**5\/420 + 7*m**3\/6 + 6*m. Let k(s) be the second derivative of c(s). Solve k(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y - b, 0*b - b - 1 = -3*y. Suppose y*d - 48 = -2*d. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/9*(-3)\/2. Let u = -6 + w. Let n be (-1)\/(1\/((-2)\/2)). Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.05001 + -1.2696. What is g rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 54 = -20. Calculate the remainder when f is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-4))\/(9513\/92412).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/14 + 13*i**6\/40 + i**5\/5 - i**4\/2 - 65*i**2. Let n(c) = 0. What is c?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 29*b**2. Let n(s) = 15*s. Give o(n(x)).\nAnswer: 6525*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 429*j**3 - 8*j**2 - 4*j + 3. Let m(n) = -859*n**3 + 14*n**2 + 7*n - 5. What is 4*m(t) + 7*u(t)?\nAnswer: -433*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 29*q**5\/20 - 11*q**4\/6 - q**3\/6 - 135*q. Find the third derivative of u(z) wrt z.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -78, -97, -112, -123, -130?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-27)*-71 + 49\/(-441).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2769*z + 84 = 2776*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1) + (-99)\/6. Let u = x + 15. What is the closest to 2\/9 in u, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 147*m**3 - 4476*m**2 + 42096*m - 88128.\nAnswer: 3*(m - 68)*(m - 4)**2*(m + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 985*t - 2911*t + 943*t + 983*t - 12*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1578154188.998917 + -1535135068.27891687. Let z = 43019121 - b. Let d = z + -0.28. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/13 in 0.16, -38, 2\/9, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3178 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1076 and -46\/2421.\nAnswer: 9684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6 = 0, -3 + 22 = -2*z + 5*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196062.9 kilometers to centimeters.\nAnswer: 19606290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 - 40125*z - 6381180 = 0. Calculate z.\nAnswer: -156, 8181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w**2 + 11*w. Let l = 103 - 99. Let p(v) = 13*v - 6*v**2 + v**3 + 2*v - 5*v. Let u(k) = l*a(k) - 5*p(k). Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108)*1 + 4) - (sqrt(108) + 0)*-3)*-5)**2 + (5*1*sqrt(108)*-6 + 0)**2)*4.\nAnswer: -14400*sqrt(3) + 487600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 1 + 1 + (52*a + 19*a - 7*a)*(-a - 2*a + 2*a) as k*a**2 + o + x*a and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2840 divided by -41\nAnswer: -2840\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.8065 + -47.58. What is y rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 1. Let l be 16\/(-6) - (-2)\/3. Let y(h) = 3*h**2 + 2. Let f(t) = l*y(t) + 7*a(t). What is the first derivative of f(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, 1\/3, 3, -1190, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153353 (base 7) to base 8.\nAnswer: 72512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19935.4*-0.5\nAnswer: -9967.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3633096 kilometers to centimeters.\nAnswer: 36330.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34773787*t**4 - 4790644*t - 2.\nAnswer: -417285444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from ssn?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2 + 4 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 7, -3 in decreasing order.\nAnswer: 118, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b + 46*b = -242. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s*s**(3\/19)*s))\/s)**(-32)*(s\/s**(-29))**(-8) assuming s is positive.\nAnswer: s**(-2032\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - r - 16850 = -16856, -x = -5*r + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22590*k**3*o**2 - 4*k**3*o*z + 14*k**2*o + 2*k*z + 81*o**2*z - 11*o**2 wrt k.\nAnswer: 135540*o**2 - 24*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47453 and 2.\nAnswer: 94906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 32\/8797, 7, 9\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-2240)\/224.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110111011 (base 2) to base 8.\nAnswer: -11673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3452 + -3400. What is the greatest common divisor of 1625 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29 = -5*n, 4*w - 50*n - 32 = -55*n. Calculate the least common multiple of w and 259.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -163980 and 25480181?\nAnswer: 25644161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67\/630 - 1\/210. Is d less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q - 41. Determine v(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 927460*f + 2782425.\nAnswer: -5*(f - 3)*(f + 185495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27645642, 27645640, 27645638, 27645636, 27645634, 27645632?\n\"Answer: -2*q + 27645644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 1\/((-2)\/884). Calculate the highest common divisor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92830\/7 or 13260?\nAnswer: 92830\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 - 260*f + f**5 + 0*f**5 + 60*f - 7*f**4 - 1584 + 235*f**2 - 416 + 29*f**3.\nAnswer: -(f - 4)**2*(f + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.83127269 rounded to 4 decimal places?\nAnswer: -2.8313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4336 (base 8) in base 10?\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275766683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 3*o + 4, -5*l = 4*o - 5. Let k(w) = 0*w + 2*w + 1 + o*w + 0*w. Let b be k(2). Solve -b*z = 16 + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 84*q + 5. Let y(g) = -714*g - 42. What is 42*p(w) + 5*y(w)?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-3)*3\/2. Let n = 24 - w. Calculate the lowest common multiple of 6 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 974*y**2 + y. Let z be w(1). Suppose -5*d = 2*l - d - 402, 4*d - z = -5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 27*b**3 + 3*b**5 + 4 - 6*b**2 - 27*b**3 + 6. What is the second derivative of i(p) wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 33 - 2*y + 16*y**2 - 70 to the form m + v*y + h*y**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = m + 2*o, -92 = 8*m + 5293*o - 5297*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20778432 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1318 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2927.058 - 2933. Let b = 6 + k. Let x = 0.0579906 - b. Round x to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.295169ug to kilograms.\nAnswer: 0.000000006295169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227760217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svv when three letters picked without replacement from vvvvvssvvvsv?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -1\/36 (c) -4435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfftlfffldflfudd. What is prob of picking 3 f?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -5.404?\nAnswer: -0.97272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12850389 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 47\/4730788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (32 - (-52 - -43))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3297434.93 to the nearest 1000.\nAnswer: 3297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:59 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 + 868. What is the common denominator of d\/(-70) - (-1 + 0) and (-1)\/(-6)*(-78)\/(-20)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72648672 to the nearest integer?\nAnswer: 8523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -0.3, -18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25 + -0.3. Suppose 19*f - 2 = 17*f. Suppose 0 = -p + 4*t + 2, -f + 7 = 3*p + 4*t. Which is the closest to -0.1? (a) u (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -498*x**3 + 610.\nAnswer: -1494*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 420, -0.78, -4\/3, 0.4 in decreasing order.\nAnswer: 420, 0.4, -0.78, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302816 by -19.\nAnswer: 302816\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 - 23*q**2 - 29*q + 18. What is n(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5639*n - 5638*n + 11275*n + 303*n**2)*(-n + 2 - 2) + 7*n**3 + 4 - 4.\nAnswer: -296*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p - 27*p = -304. Let v be (-619)\/(-9) - p\/72. What is the highest common divisor of 759 and v?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, u: 3}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 5*s**3 + 14*s**3 - 13*s**3 - s**2.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 12*r**2 + 27*r + 15. Let j be t(9). Let h be (-88)\/(-22) + j*5 + 2. Calculate the greatest common factor of h and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27078648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 37*z - 82.\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 5, b: 2, c: 1, h: 1, o: 5}. Give prob of picking 2 v, 1 c, and 1 h.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101521011 - 25?\nAnswer: -101521040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s - 1 + s**2 + 0 + 10*s. Let c be j(-4). Suppose 7*n + c = -2*a + 2*n, 0 = -5*a + n + 3. Solve a = -t - 3*l + 2 - 3, 0 = 2*t + 2*l + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10)**(-16)*(u\/(u\/((u**10*u)\/u))*u*u*u)**(-8) assuming u is positive.\nAnswer: u**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -95561904?\nAnswer: 95561904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o\/(o*o**25)*o*o*o**(2\/135) assuming o is positive.\nAnswer: o**(-2833\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(-5 + (sqrt(243) + 1 + sqrt(243) - sqrt(243)))*-3)**2.\nAnswer: -594*sqrt(3) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 1521*p**2\/4 - 144780*p - 144400.\nAnswer: -(p + 1)*(p + 760)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24141 - 61?\nAnswer: 24060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 + -4756.59.\nAnswer: -4634.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/(5 + -9). Suppose 7*q - 3*q - 18 = -2*i, 3*q + 5*i - 10 = 0. Which is the closest to -1? (a) d (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 29*h - 44. Calculate i(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 20*i + 194. Let w be a(16). Solve -2 - 2 = -w*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39890043 + 39890043 + 50*v**2 - 9*v**2 - 21*v**2.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 1. Let t be x(2). Let r(p) = -21*p - 69. Let y be r(-5). Let f = t + y. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:44 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 + 5*b - 4. Let s be (-12*12\/(-16))\/((-3)\/(-15)*15). Calculate h(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -0.08.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71761310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/7 + 28389*b\/7 + 56862.\nAnswer: -3*(b - 9477)*(b + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 267.3 and 0.6.\nAnswer: 160.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1649.09 - -1637. Round n to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1\/224*i**8 + 0 + 0*i**4 + 0*i - 1\/15*i**7 + 5\/12*i**5 + 0*i**3 + 11\/48*i**6 + 64*i**2. What is w in h(w) = 0?\nAnswer: -2\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -358, -594, -994, -1564, -2310, -3238, -4354?\n\"Answer: -f**3 - 76*f**2 - f - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -47653a06?\nAnswer: 47653a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/60 - g**3\/18 - 8*g. Factor y(u).\nAnswer: u*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -44406*y**2 - 3. Let m(c) = 88815*c**2 + c + 6. Let j(h) = 7*l(h) + 4*m(h). Is j(-1) 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 9:45 AM and 2:50 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 27*q - 8*q + 9*q. Let g(k) be the first derivative of 0*k**3 + 0*k**4 + 0*k + 15 - 3*k**q + 13\/2*k**2. Find the second derivative of g(v) wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15830583 (base 10) to base 12.\nAnswer: 5375273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 8*y - 12*y. Let s = -85 - y. What is the highest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5218679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 - -1329. Let t = 791 + -1352. Let b = t + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i - 15. Differentiate -4*h**4 - 3 - 1 + i wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11*g + 18 = 0. Suppose -1112 = -3*q + 2*h + 143, -4*q = -g*h - 1675. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-4*z**4 - 2*z**4 - 9*z**4) + 2*z**4 + 0*z**4 + 0*z**4.\nAnswer: -43*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.66325 * 0.1.\nAnswer: 0.266325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 2*l + 29. What is w(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -91596 times -11.17?\nAnswer: 1023127.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 137, 599, 1369, 2447, 3833, 5527, 7529?\n\"Answer: 154*r**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f**3 + 11*f**2 - 22*f + 158. Let k(i) = 5*i**3 - 4*i**2 + 8*i - 53. Give 11*k(v) + 4*o(v).\nAnswer: 3*v**3 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348763 greater than -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 366*q**3 + 736*q**3 - 368*q**3 - 2 + q**3 - q**3 + 4*q**3 + (-2*q - 3 + 3)*(0 + 0 + q**2) - 8*q**3 + 12*q**3 + 6*q**3.\nAnswer: 14*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -0*x - 296656 - 466494. List the prime factors of x.\nAnswer: 2, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*t - 6285 = 124*t. Is ((-3)\/(105\/14))\/(3\/t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15064 rounded to the nearest 100?\nAnswer: -15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkpk when four letters picked without replacement from kkkpkppkkkkkkkkpkk?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - q - 43 = 0, 0 = 5*b + 2*q + 3*q - 105. Let a be (-747)\/(-8) + (-6)\/b. Let k = 114 - a. Solve -1 = -4*t - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6499253*b = 6499308*b - 3410 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Suppose 0 = p*t - c - 177, 3*c = -3*t + 219 - 42. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -559 + 558. Which is smaller: -1\/254 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 10100?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288 or 13501\/47?\nAnswer: 13501\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31292 + 67690 = 2538*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1626a + 3?\nAnswer: -c16267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -18. Let h = 11.44 - -15.52. Let w = h - k. What is w rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/4)\/k**(-1\/9)*k**1\/k**(-3) assuming k is positive.\nAnswer: k**(139\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 - 15280*l + 91782. Determine o(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1001111 (base 3) to base 10\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5729*i**3 - 142*i**3 - 49*i + 49*i.\nAnswer: 5587*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 40 + -2 + 11 + 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x + 3. Let l be g(3). Suppose c - l*b = -2, -b - 9 = -4*b. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + -3 + 3)\/(-2). Let h = s + -5. Put -5, 5, h in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/8 - 1680*g**2. Let u(z) = -79*z**2 + 2*z. What is o(u(n))?\nAnswer: -237*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-467)\/(-13543) - 214\/1160)\/(((-2)\/(-2))\/(-45)).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z + 1. Let c(y) = 5*y**3 - 5*y**2 + 3*y + 1. Let b(o) = c(o) + 4*q(o). Factor b(j).\nAnswer: (j - 5)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -42*b - 5270. What is t(-123)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1)\/((0 + 1)*-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(2*l + l - 5*l) - l + 2 - 3*l + 3*l.\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7 - -11) + 36 + 0 + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -490 + 572. What is the smallest common multiple of 8 and f?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 92*r**2 + 381*r + 256. Give x(96).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*j - 332*j = -306*j - 50175 for j.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*o - 6 = 0, t + 5*o = 6*t - 25. Suppose 0 = t*d + 12114 + 3886. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1897?\nAnswer: -1\/1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*m - 3, -2*m - 12 + 0 = -4*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 395194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**2 + 31*p + 15. Let q be h(-15). What is the second biggest value in q, 4, -3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 23*w - 98. What is k(12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58\/(-28) - ((3 - 2) + -3). Let d = c + -3\/7. Let u = -90 - -80. What is the third smallest value in -1\/3, d, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 1 - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z**2 - 2*z - 1. Let g(y) = 24*y**2 + 4*y + 2. Let v(i) = 3*i**3 - i**2 - 9*i - 3. Let q be v(-2). Let p(b) = q*a(b) - 6*g(b). Calculate p(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2441 + -538. What are the prime factors of a?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -131699747728?\nAnswer: 131699747732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 734\/120 - (-36)\/(-60). Let b = d + -23\/12. What is the common denominator of b and -57\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 5*l + l - 1 - 2*l. Let g(h) be the third derivative of -h**5\/30 + h**4\/4 + 4*h**3\/3 - 2*h**2. Let n(b) = g(b) + 10*y(b). Factor n(k).\nAnswer: -2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a - 25. Let m be n(-2). Suppose -2*g = -2*l - 24, m = -g - 4*l + 24. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48, -1, -82311 in descending order.\nAnswer: 48, -1, -4, -82311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/42 + m**6\/8 - 5*m**5\/12 - 5*m**4\/8 + 10*m**3\/3 - 19*m**2. Find l such that n(l) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, k: 1, i: 1, v: 1}. Give prob of sequence lwk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60021 or -232.9?\nAnswer: 60021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244762479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 460 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 0, o + 8 = 5*r - 3. Let g = 3 + -2. Suppose l = 6*l. Solve l = -o*v + g + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -37, 5, -2\/169?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0)*(-1 + 13 - 2) + 2*p - p - 2*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -12, 2 in decreasing order.\nAnswer: 2, 0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.442988 to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 143*a**4\/2 + 65*a**3\/3 - 84. Let r(m) = 13*m**3 + 3*m**2. Calculate 65*r(q) - 3*y(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 8*i**2 + 38 + (-i**2 - 2*i**2 + 4*i**2)*(-2 + 0 + 0) - 46 - 18*i**2 + 24 + 20 to the form f*i + a*i**2 + c and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/21048768 and -113\/61776.\nAnswer: 231536448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 3*f + x, f - 380 = 6*f + 5*x. Let r = f + 51. Let b = r - -77. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9395, -18791, -28187, -37583, -46979?\n\"Answer: -9396*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4998951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126087?\nAnswer: 3, 13, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:06 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 0 (b) 20\/3 (c) 2.7 (d) 11 (e) -1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053517043.\nAnswer: 6949, 151607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3096\/7 (b) -1 (c) -4 (d) 2\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 2*n + 4*n)*(3*n - 2*n**2 + 9 - 9) to the form q + t*n + y*n**3 + f*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12978 times -0.52?\nAnswer: -6748.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 4*j - 4. Let p be i(4). What is the greatest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*-0.095\nAnswer: 2.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 40*l**3 + 21*l + 45*l**3)*(-4 + 4 + 2*l**2).\nAnswer: 10*l**5 + 40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*a + 58*a + 7 + 1 + 0 to the form d*a + y and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143 by 20.\nAnswer: -143\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -320\/3, -0.1, 4 in decreasing order.\nAnswer: 4, -0.1, -320\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247\/5 + 50. Sort 2\/13, 4, 0.2, 1\/24, f in increasing order.\nAnswer: 1\/24, 2\/13, 0.2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-876)\/(-99) + -9 - 2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(50)\/sqrt(5)) + ((sqrt(7) + sqrt(28))*-5)**2 + -1.\nAnswer: sqrt(7) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2925234318.\nAnswer: 2, 3, 487539053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c41f (base 16) to base 4.\nAnswer: -20230100133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43500 is divided by 116.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*y + 1636 + 2457 = 0, 0 = 4*z + 5*y - 3264. List the prime factors of z.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23081 - -23065. Let j be ((-2)\/8)\/(-2 - -3). What is the closest to 1\/3 in j, -1, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13527 - 14462 = 55*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 7*f**2 + 3*f + 9. Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145144 is divided by 283.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 11*z - 19, 5*q + 275585 = -2*z + 275515 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-2)\/((-7)\/(21\/6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Is 78902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 - 3*y**3 - 3*y**3 - y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13264, -3, -5, 49 in decreasing order.\nAnswer: 49, -3, -5, -13264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15304*o**4 + 2566*o**3 + 16046287*o**2 + 5*o wrt o.\nAnswer: -367296*o + 15396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5039.\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -115?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 + -18 + (0 - 3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1542*b + 104 = 1529*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 20 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(35 - -5). Suppose -d - g = 2*d. Is (-492)\/d + (-6)\/10 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, b: 4, q: 2}. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 7*n + 10. What is c(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g**4 + 0*g**3 + 5\/2*g**2 + 0*g + 2\/5*g**5 - 7. Find the second derivative of y(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - -22. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/21 and 37\/849930?\nAnswer: 5949510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 bigger than 10101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 4*o = -40. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let m(l) = 1010*l. Calculate m(p(o)).\nAnswer: -2020*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-6 - 14) - -60?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25*(5304\/340)\/(-26)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85544 = 33*s + 21095. What are the prime factors of s?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2969942 - 2935532 = -310*u for u.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) 2\/5 (d) -0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*r = 4789 - 2839 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-25)*130\/13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/4 + 11061471*s\/4 = 0.\nAnswer: -11061471, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -18373 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10966 and 0.0535.\nAnswer: 586.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 8*s**2 - s - 4. Let i be v(-8). Suppose -y = w - 2, -4*y + 5 = w + 3. Suppose 2*n + 3*n - 180 = h, y = i*h. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(16\/(-28)*(-77)\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**2 + 6*y**2 - 3162694*y + 3162694*y.\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(6\/11)*i*i**(-29)*i assuming i is positive.\nAnswer: i**(-292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53159, -53187, -53235, -53303, -53391?\nAnswer: -53499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7564 and -4236 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*o - 7 = -c, 3*c - o = -15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = 148 + 6 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/6)\/(5\/3*1704\/355)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/9))**(2\/3))**17)**(-3\/13) assuming w is positive.\nAnswer: w**(68\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 2*w = -26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285740 by 26.\nAnswer: -10990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(19) - 3*sqrt(114)\/sqrt(6))**2 + (3*sqrt(171) - sqrt(171))**2)*-3.\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -7. Suppose o*t - 17*t + 3 = 0. Is (-1 - -923) + t + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + (43 - -57) - 111.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n + 0 + 4 + 11*n + 7*n**2 - 40*n**2. Let l(x) = -32*x**2 + 7*x + 3. Let w(o) = -4*l(o) + 3*p(o). What is the second derivative of w(m) wrt m?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2 - q. Let i be f(-1). Let d be -15*(2 - 7\/3). Let k = 1746 - 1746. Solve n - d*n = -h + i, k = -5*h + n - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) -1\/12 (b) 2 (c) -0.2 (d) -0.3 (e) -9779\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 89 - 231 = -2*o, 5*h + 4*o = 144. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**3 - 2*h - 1. Let k be o(-1). Let z be 27\/(-18)*(5\/(-3))\/((-860)\/1376). Sort -5, k, z, 0 in decreasing order.\nAnswer: k, 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*s = 4, -3*s + 4 = -i - 0*s. What is the tens digit of (-31 - 20\/i)*(-11)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 724*l + 99. Is w(31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -3*r + 412. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 3\/20*c**5 + 1\/6*c**3 - c**2 + 0 + 1\/4*c**4 - 2*c. Let z(a) be the first derivative of b(a). What is d in z(d) = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7486, 14972, 22458?\n\"Answer: 7486*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9081?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21758275 less than -0.066168?\nAnswer: 21758274.933832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.0927532 and -6.02764.\nAnswer: -7.1203932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3870 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 13*o**2 - 6*o + 4. Give m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448) + -3)*-2)**2 + 3.\nAnswer: -384*sqrt(7) + 7207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 200*g - 55. Let s be t(16). Let o(i) = -2*i**2 - 3146 + s + 5*i**2 + i - i**3. Calculate o(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klelkaelkk. Give prob of picking 3 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6890 = -2*t - t, 2*f - 13747 = 5*t. List the prime factors of f.\nAnswer: 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10020739, -10020738, -10020737?\n\"Answer: b - 10020740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-13 - -23 - (-1 + 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*r - 11 + 81*r - 3 + 3*r**2 as k*r + n + g*r**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:08 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -26*h. Let x(l) = -2*l. Determine x(d(y)).\nAnswer: 52*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 457333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 10*d**2 - 397*d - 3978. What is t(-12)?\nAnswer: -2958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*k - 10*k + 1627 + 5329 = -916 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618037 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9719 + -9689 - (0 + 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 8 (b) -30064\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 644. Let k = 131 - x. Suppose 8*v = 4*v + k. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7286 minus -0.009?\nAnswer: -0.7196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75614 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47610767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15318493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 1157\/9. Let y = 13 + -9. Which is the nearest to -3? (a) 4\/5 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102 + 1)\/(1 + -2). Let r = 107 - f. What is the remainder when ((-12)\/(-1) + 1)*3 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) 0.03 (d) 32 (e) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 9) + -13 + 13 - (-7 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 157, 2805, 10347, 25231, 49905, 86817, 138415?\n\"Answer: 408*g**3 - g**2 - 205*g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257, 179, -2, -3.\nAnswer: -257, -3, -2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/3 - 222*q**2 - 880*q - 2632\/3 = 0.\nAnswer: -329, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1163, -1255, -1347, -1439, -1531, -1623?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3960, -3954, -3944, -3930, -3912, -3890?\n\"Answer: 2*n**2 - 3962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 83. Let d = 1.1 - 0.1. Is d bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112000302 (base 4) to base 13.\nAnswer: 32067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 6 = 0, 3*b + 2 = 5*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-118477)\/(-1078740) + 69\/(-598)\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13321, 13312, 13301, 13288, 13273, 13256, 13237?\nAnswer: 13216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2\/6 + 11605*p\/6 - 3402275\/3 = 0. Calculate p.\nAnswer: -2806, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 2*s - 4*s - 2 + 1. Let j be (-3 - 1)\/((-3)\/(-3)). What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:35 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 + 6*x - 6. Let l(t) = -t**3 + 5*t**2 + 7*t - 7. Let b = -24 - -66. Let y be b\/4*6\/9. Give y*m(p) - 6*l(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*x = 246. Let j = 56 - x. What is the remainder when 59 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s. Let i(c) = c. Suppose l + 3*l + 3*x - 20 = 0, 0 = 5*l - 2*x - 2. Let n(d) = l*a(d) - 2*i(d). Let q(k) = 2*k. Calculate n(q(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*a*w*z - 5*a*w - 272*a*z**3 - 55*a*z**2 + a*z + w*z**3 + 47*w*z**2 + z**3 with respect to w.\nAnswer: 15*a*z - 5*a + z**3 + 47*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) 1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 77, 136\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(4\/(-48)). Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8125 and -4507?\nAnswer: 12632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 788131225*g - 678187774?\nAnswer: 788131225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-785)\/330 + 1253\/537\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 880440 and 6090.\nAnswer: 6163080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/6*27\/24*4. Suppose -h*m = -0*m - 36. Calculate the smallest common multiple of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8974477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4031*z - 2441*z + 2 - 2 - 3523*z.\nAnswer: -9995*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 34*y**2 - 5*y + 10. List the prime factors of g(3).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -27, -23, -17, -9, 1, 13?\n\"Answer: k**2 - k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 35*p. Let g(k) = k - 1. Let n(v) = 8*v**2 + 26*v - 26. Let c(s) = 26*g(s) - n(s). Calculate c(b(d)).\nAnswer: -9800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) + 4 - sqrt(5)) + 5 + (sqrt(10) - (1*sqrt(10) + sqrt(10)))\/sqrt(2) + sqrt(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2 + 68. List the prime factors of j(0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-4)*m))**(-48)\/(((m*m**(-3\/11))\/m)\/m*m*m*m**15\/m*m*m) assuming m is positive.\nAnswer: m**(-2296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -33\/2, -0.1, -7716, 1\/3 in ascending order.\nAnswer: -7716, -33\/2, -0.1, 1\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let d be q(10). Let i = d + -7. Let l = i + 3. Solve 0 = 2*v - v - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 10. Let s(r) = -888*r. Determine d(s(b)).\nAnswer: -2664*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6. Suppose 2*y = 5*w - 8, m*w - 5*y + 7 = w. What is the remainder when 4 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*r**5 - 215 + 215 + (-6*r + 3*r + 2*r)*(r**4 - 2 + 2).\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 + 56*s**3\/3 - 392*s**2 + 10976*s\/3 - 38416\/3.\nAnswer: -(s - 14)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/(-36) - 220415\/(-30) - (-8)\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -5*12\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428 + -576. Let h = 17958.26 + -17812. Let g = h + k. Round g to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r. Suppose -q + 5 = 6. Calculate the lowest common multiple of 9 and l(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 763966, 3055849, 6875654, 12223381, 19099030?\nAnswer: 27502601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -843, -1262, -1681, -2100, -2519?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 5*f + 8*f)*(-2*f + 6*f - 3*f) - f**2 + f + 0*f + 0*f**2 + (-2 + f - 5*f + f)*(-4*f + f + f) in the form u + s*f**2 + c*f and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9424525920 to the nearest 1000000.\nAnswer: -9425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20585.856 - -20555. Round j to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6144 divide 846243045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1062 and -32\/649?\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12730066 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxlljbddjjb. What is prob of picking 2 j, 1 t, and 1 l?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -29, 2, 4, -3, 3 in increasing order.\nAnswer: -29, -3, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x + c + 38, 0 = -4*c - 12. What is the greatest common divisor of x and 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n - 2*n + 4*f, 5*f = -5*n + 25. Suppose n*x - 1976 = -111. Suppose -x = -5*h + 17. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + 392\/(-18). Let k = -1.66 - -0.1. Let c = -1.16 - k. Put j, c, 5 in descending order.\nAnswer: 5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1\/5, -2, -658?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 5*b. Solve 4*p = -4*j + 12, b = p + 3*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200654000 rounded to the nearest 1000000?\nAnswer: 201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/171 in -58, -8.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*h**2 - 160*h**2 + 312*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33234 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i - 37*i)*(3*i**2 - 5*i**2 + i**2) + (2 + 1 - 2)*(2*i - i**3 - 2*i).\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33946 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13104 divided by -63?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -251\/9*j - 166\/3 - 1\/9*j**2 = 0.\nAnswer: -249, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/2145 and 107\/4290?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5666 + -2679. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2389.393 minutes to microseconds.\nAnswer: 143363580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5823845 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 10*97775\nAnswer: 977750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 46a7?\nAnswer: -469c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 190*k + 22 = 191*k, -j + 1 = -2*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 6 = -30*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25086888 and 3996?\nAnswer: 25086888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276793024.\nAnswer: 2, 51199891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14*c**2 + c. Let t(z) = -13*z**2 + z. Determine 6*g(h) - 7*t(h).\nAnswer: 7*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-19866)\/66220)\/((-1)\/220)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*b - 19 = 2*w, -5*w + 15 = -b. Let y = -48 - -72. Suppose -y = -w*f + 28. Solve d + 14 = 3*o, 4*o = 2*o + 4*d + f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -2.2. Put 1, 0, -5, h in descending order.\nAnswer: 1, 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1050\/45 - (38 - 20))\/(84\/(-18)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 1167689*i - 1168385*i to the form y + s*i and give s.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.5702252 to 0 decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23279 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2 = 2*n, 1140*n - 13 = s + 1143*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/744)\/(((-2)\/4)\/(-1)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18298, 36607, 54918, 73231, 91546?\nAnswer: 109863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8096579.4 and 0.85.\nAnswer: -8096578.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91300855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 4*g + 15. Let l be (4\/(-3))\/(30\/405*(5 + -8)). Calculate f(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -197, -299, -401, -503, -605?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r - 115*r - 5239 = 111*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:39 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 20*o - 3. Let a be p(7). Let x(u) be the second derivative of -u**3 + 2*u**2 + 1\/12*u**a + 0 + u. Calculate x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0 + 0)*(5 + 0 - 3)*(2*f - 7*f + 0*f)*(2 - 4 - 1).\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d - 368*d + 107448 = 930*d for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1614322*d**2 + 2. Let b(q) = -2*q**2. Give g(b(y)).\nAnswer: -6457288*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-254)\/(-762))\/(1*2\/(-12)). Which is the nearest to -1\/4? (a) -3193 (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 476 and 1122382.82.\nAnswer: 1122858.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 51813746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1693681*o = 1693590*o + 4307 + 698 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from susssxsssdxszszzs.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101802025 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - 0) + 20 + -23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Suppose 0 = -4*p - 4*z - 8, -5*p - 2*z + 0 - 1 = 0. Let w = 3 + p. Let t(v) = -4*v**2 - 2*v**2 + w*v**2. Calculate h(t(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18182.59 + 6741\nAnswer: -11441.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:07 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1351)\/(-1351)*29*1\/((-1)\/(-1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 733 + -722. What is the remainder when 47 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Suppose 0 = -425*f + 424*f - 5*d - 12, -6 = 2*d. Factor -28\/5*y**f + 0 + j*y**4 + 8\/5*y**2 + 0*y.\nAnswer: 4*y**2*(y - 1)*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265 + 334. Calculate the greatest common divisor of d and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872798?\nAnswer: 2, 29, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-7384)\/(-416))\/((-2)\/(-8)))\/(((-6)\/(-2))\/3)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2333 + 2335. Suppose -8 = -2*z - 0*z. Put f, z, -2\/3 in descending order.\nAnswer: z, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + d + 8201 = 10*o, 0 = -2*o + 5*d + 4105. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 26. Determine m(-10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*s**2 + s**3 + 116*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296.02 - -293. Let k = 3 + p. Let o = 0.019962 + k. Round o to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**5 - 1080*p**4 + 936*p**3 + 37888*p**2 - 60972*p - 96840 = 0.\nAnswer: -6, -1, 3, 5, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1125186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -345109 - -4401.4?\nAnswer: -340707.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -48. Suppose -p*j + 0*k = k - 45, 5*k = 4*j - 15. Suppose 2*c = -j + 130. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/406 + (-86)\/(-14). Suppose -r*f = -5*f. Solve f*a - 10 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - m - 1. Let n be c(3). Suppose 0 = -5*q + n - 2. Solve q*j + 10 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3143779 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 95*h**2 - h**3 + 21*h + 14*h - 113*h**2 - 38*h - 2 as z*h**3 + l*h**2 + v*h + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by ((-156)\/(-39))\/((-16)\/(-804))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/20, 1\/2, -2\/11, -2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5\/3) + (-68)\/(-84)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32573382.\nAnswer: 2, 3, 23, 193, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 107 (b) 30 (c) -10 (d) 3 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 13134?\nAnswer: 13143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 24*o - 123. Calculate the remainder when 1532 is divided by t(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550237 (base 8) in base 16?\nAnswer: -2d09f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 1909*t**2\/2 - 2807*t - 2844. What is the first derivative of m(d) wrt d?\nAnswer: 1909","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {l: 1, g: 5, a: 1, f: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -2806?\nAnswer: -2806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 12 = 60. Calculate the lowest common multiple of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.2 (b) 0.1 (c) 2 (d) 0.3 (e) -0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 15) in base 13?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-11)*(-50)\/(-2). Let d = 72 + -35. Let z = d + g. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 0 - -2 - (-7 + 3 - -96)) + -6\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(2\/5). Suppose -2*k - 5*a + 0 = -14, 2 = -3*k + 4*a. Suppose -3*j - j = -k*t, -5 = -4*t + m*j. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3661 - -8453. Suppose 3*x + 11959 = 5*p, x = -2*p - 2*x + g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40608 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -42420\nAnswer: -84840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92732581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + i - 9*i - i**2. Let t be n(-9). Let h = t - 4. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:21 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9*p + 12 = 0. Let q(j) = j + 2. Let d(f) = -3*f - 5. Let a(s) = p*d(s) + 5*q(s). Let b(u) = -114*u. Give a(b(z)).\nAnswer: 114*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/12*(-3 + (-36)\/(-8)). Solve 0 = 2*c + a*q + 8, 4 = -3*c - c - 4*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1649*p**3*y - 4*p**2*y + 753*p**2 + 12888*p*y - 3*p - 18*y + 2 wrt p?\nAnswer: 9894*p*y - 8*y + 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 10*c - 2. Let q be w(-8). Let r = q - -72. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175) + sqrt(175))**2 - (sqrt(112)*2 - sqrt(7)).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-8 + 1) - (14 + (-29 - -12)). Solve -t = -3*u + j, -3 - 1 = t - 2*u for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 196, 4.\nAnswer: -3, 3, 4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1. Let r = -10392 + 10390. Let w(g) = 6*g - 2. Give r*p(y) + w(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30805449359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g*s**3 + g*s**2 + 4*g*s - 10*g - 5276*s**3 - s**2 + 507 wrt s.\nAnswer: 18*g*s + 2*g - 31656*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42910153 to the nearest integer?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:15 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 4. Let c be t(7). Suppose -12 - c = -5*l. Solve l*d = -9 - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*a + 434, 7 = t + 3*a - 84. Suppose 2*p - 98 - t = 0. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000000 (base 2) to base 6\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**4\/24 - 5*i**2. Let b(z) = -7*z**2. Determine c(b(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117523.\nAnswer: 7, 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6922.842 nanometers?\nAnswer: 0.000006922842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 2:16 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*l + 67*l + 258 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4301312 - -10?\nAnswer: 4301322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233 by 233.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20241964.\nAnswer: 2, 373, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t. Let h(x) = -14*x. Suppose 2*u - 4*k + 44 = 6*u, 2*u + 13 = 5*k. Let o(m) = u*w(m) + 7*h(m). Let l(f) = -5*f. Give o(l(c)).\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o + 2016. Calculate l(-101).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 2*w + 10 = 18*y, -5*w + 25 = 0. Sort -1, y, 6.\nAnswer: -1, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 2*i + 43 - 33. Give v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/7 (b) -1\/6 (c) 4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4681 is divided by 769?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -80, -216, -364, -530, -720, -940, -1196, -1494?\n\"Answer: -r**3 - 129*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1394844 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1290142 (base 10) to base 3.\nAnswer: 2102112202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 25747 = 164005 + 443652. List the prime factors of b.\nAnswer: 2, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-7435)\/(-135) + (-408)\/5508\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368161615?\nAnswer: 5, 73632323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 76214, 11, 5 in decreasing order.\nAnswer: 76214, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 + i**2 + 2*i + 2. Let f be h(0). Solve -34*w**2 - w**5 + w + 66*w**2 + 2*w**4 - 34*w**f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1305, -5, -9.\nAnswer: -9, -5, 1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*t - 232*t - 214*t - 250*t = -1696 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56463653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 0.1.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2186 + -937. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}