diff --git "a/data/dm_maths/full_data_1/10539_11255.jsonl" "b/data/dm_maths/full_data_1/10539_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10539_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(s) = s**3 - 25*s**2 - 53*s - 27. What is y(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 138886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*p - 373 = -1048. Suppose 2*w = 6*w. Solve 0 = -p*a - w*y - 4*y + 7, -4*y = a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(3 - 200\/68). What is the nearest to z in -3, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 11 + 242*c**2 - 22 to l + g*c**2 + z*c and give g.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*h*h**(-2\/5)*h*h*h)\/h*h**(2\/3))**(-2\/7)*(h*h**8)\/(h\/((((h\/(h*h**(-4\/7)))\/h)\/h)\/h))*(h*h*h**2)**(-6\/5) assuming h is positive.\nAnswer: h**(-107\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2\/2 - w - 4. Let p(m) = -2. Suppose t = 3*u, 2*u + 1 = -2*u + t. Suppose -4*k + 3 = -k. What is k*j(d) + u*p(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26708.33 times 1.3\nAnswer: 34720.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 0.07, -0.4, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -61, -90, -139, -214, -321?\n\"Answer: -g**3 - g**2 - 5*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257489263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bikb when four letters picked without replacement from bwxbpxki?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230342 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2859771, -2859758, -2859719, -2859642, -2859515, -2859326, -2859063?\nAnswer: -2858714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -22*f - 228, 22*z - 134 = 43*z - 25*z + 15*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 - (4 + 0). Let g be (-4)\/25*r\/(-2). Let b be ((-24)\/99 + 4\/22)\/((-62)\/93). Put g, -1, b, -3\/7 in descending order.\nAnswer: b, g, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/20)\/((-10)\/25). Let r(b) = -35*b. Let t(y) = -7*y. Give n*r(m) + 11*t(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16083060 and 5.\nAnswer: -80415300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.028 - 450.028. Let y = -451 - c. Is y > 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/40386563 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + 12 + -6 - -4. Let y be (50\/m)\/(492\/36 - 14). Solve -r = v + 5, -3*r = 2*r + v + y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x*x*x**(3\/2)*x*x)\/x)\/(x**2*x)*(x\/(((x\/x**(2\/5))\/x)\/x))**(-23))**(-28))**(22\/3) assuming x is positive.\nAnswer: x**(159236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*172\/(446512\/354)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1577 = -21*j. Let x = -71 + 392. Calculate the remainder when x is divided by j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.1 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -36*d - 1358. Give r(-19).\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-525)*-42*(-200)\/(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 12*j**2 - 35*j. Let m be q(-7). Let h be 30\/(-9) - (-2)\/6. What is the nearest to m in 1, 5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 2*o - l, 5*o - 330 = 5*l + 50. Let b = -4 - 50. Let k = b + o. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13.09. Let t = y + -1.91. What is the smallest value in -0.5, t, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-74)\/12 + (75\/18 - 4). Let j(c) = 4*c**2 - 4*c - 3. What is the units digit of j(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -36. Let c be (-4)\/y + 172\/36. Solve c = 2*b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*n + 291*n + 272*n - 635 - 6535 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11880 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318\/133 - -1516\/133. Let x = b - 5769\/418. Let s = 46\/19 + x. Find the common denominator of s and 19\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158654 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 5*p = -32*p - 1350 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {v: 2, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 - -0.25. What is the closest to x in 0, -0.3, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + -0.24. Let j be (6\/(-4))\/((-54)\/8). Let q = 1.2 - -3.8. Sort n, j, q in decreasing order.\nAnswer: q, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 1 + -23 + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -21, 23, -1, -0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 6517?\nAnswer: -3\/6517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*r + 7 + 11, -4*r = -5*s + 5. What is the units digit of (-5 - s)\/(2\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfxxfnxn. Give prob of picking 3 x.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -18. Solve i - 5*i = c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 425905411 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4*(-254)\/32)\/((-2)\/(-1472))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from zncqn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/260 and (-5574)\/8008 + (-696)\/(-1914).\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -3. Let u be (1\/(-4))\/(v\/(-8)). Suppose -3*z + 1 = -4*z. Which is the nearest to u? (a) -2 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 11 = 61. Suppose -3*h + 0*a - a = -g, 2*h - 30 = 4*a. Solve -5*w - 22 = 3, -5*f = 4*w - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 2)*(2 - 2 + 2*k) + k - k - 3*k + k + k - 3*k + 3*k + 0*k - k + (-1 - 1 + 1)*(0 + 2*k + 0) - 3*k + 0*k + k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3991294 to the power of 1\/2, to the nearest integer?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d = -3*x - 1797, -1 = -x. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2*w**4 + 3*w**4 - 4*w**4 + 5*w**2 - 5*w**2 + (-4 + 4 - w**2)*(3*w**2 - 4*w**2 + 3*w**2).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 2. Suppose 0 = 4*t + 5*z - 11, 2*t + 0*z = -z + 13. Let o be (2\/(-6))\/((-3)\/t). Let w be o\/(1\/4*-2). Give f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*c + 8 + 2, -5 = -u + 2*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5678505 from -210463.\nAnswer: -5888968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -180, -314, -460, -624, -812?\n\"Answer: -w**3 - 127*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -510, -3, 0, 11 in descending order.\nAnswer: 11, 5, 0, -3, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*t - 563*t = -748660. Calculate the remainder when t is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41905 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14386251 is divided by 68181.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let x(r) = 2. Let u(p) = 3*g(p) + x(p). Let d be (-5 - (3 + -1))*-1. Let z(j) = -10*j - 7. Calculate d*u(k) + 2*z(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.34.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1812 and 17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5368886 = 337*y + 5363494 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 - -19)\/(8 - 10). Suppose 0 = -h*i - 30 + 350. Calculate the greatest common divisor of i and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 68*z**3 + z. Let c be d(1). Suppose 67*w + 1176 = c*w. Find the second derivative of 20*n**3 + 7*n - 588 + w wrt n.\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 637142774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5.06. Let w = 6.06 - a. Let i = w + -5.5. What is the closest to 0 in i, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3813123?\nAnswer: 3, 29, 41, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 884724*y\/7 - 97842069522\/7.\nAnswer: -2*(y + 221181)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -303, -452, -599, -744, -887, -1028?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, 26, 0.2, -9\/14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*n**2*o + 7*k**3*n**2 + 2*k**3*n*o - k**3 + 2*n**2*o - 10*o wrt n?\nAnswer: -2*k**3*o + 14*k**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 6729. Let v(o) = -1683. Calculate -2*f(b) + 9*v(b).\nAnswer: 2*b - 1689","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 54. Suppose -7*t = -107 + 121. Sort 3, t, 6, y in decreasing order.\nAnswer: 6, 3, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 3*z**2 - 3*z + 9. Let h be k(-4). Let y = -5 + h. Let 0 - 2\/5*p**2 + y*p - 1\/5*p**3 = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 67\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419\/3 + -139. Which is the nearest to 0.08? (a) -0.3 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 2. Let p be (-6)\/(-5)*(-20)\/(-6). Is 10 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.4 - 96.7. Suppose -w = -2*p + 3, -4*w + 5*p + 1 - 7 = 0. Is w < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 12. Let h be m(-11). Let i(c) = 29*c**2 + c. Is i(h) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 g, and 1 s when four letters picked without replacement from zlskccgkkssgzck.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 4*l**2 - 2*l + 4. Let d be o(-4). Let s = d + -19. Let y = s + 23. What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.083736 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:50 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -201?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -35 + 65 + -34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*u + 773*u**2 - 210*u - 344*u - 789*u**2.\nAnswer: -16*u**2 - 1379*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*r + 318 - 291, -23*l - r = 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/758, -2\/3, -3153, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -79 - 41. Let r = k + 42. Find the third derivative of 12*z**r + 3*z**2 - 26*z**3 + 15*z**3 wrt z.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 3*z**3 - 4*z**3)*(-2*z + 1 - 1).\nAnswer: 2*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12660 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from edd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**4 + 7397406*a**2 - 501831775.\nAnswer: -16*a**3 + 14794812*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.649 - -3.351. Which is the second smallest value? (a) -385 (b) 1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, m: 1, k: 1, e: 4, z: 1, a: 1}. What is prob of sequence nkn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*k + 2*k. Let s = 169 + -170. Which is the nearest to 0.1? (a) -2\/13 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68866487?\nAnswer: 68866487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:51 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - 70*j - 1115. Let c(r) = -2*r**2 + 23*r + 373. Let l(g) = 10*c(g) + 3*q(g). What is m in l(m) = 0?\nAnswer: -7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 3, v: 4, x: 8, m: 1}. What is prob of picking 1 w, 1 m, and 2 v?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184 - -172. Let u(f) = f**2 + 13*f + 18. Let q be u(a). Solve -4*w + o + 2 - 11 = 0, -q = -2*w + 4*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -474, -654, -762, -774, -666, -414, 6?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/15)\/(2\/24). Let p be (-9)\/(90\/u) + 54\/15. Determine z so that p*z + 7*z**2 - 14*z + 8*z**2 - 5*z**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 14*h**2 + 3*h - 3. Let z(n) = 3*n**3 - 15*n**2 - 4*n + 4. Let y(i) = -4*g(i) - 3*z(i). What is the third derivative of y(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Suppose -i = -3*a + 3631, -5*i + 10 = 30. Let q(r) = -1215 - a + 115*r**2 + 2424. What is q(w(k))?\nAnswer: 115*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*m - 15467 = -4*m, 0 = -4*m + 4. Round g to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.589mg in nanograms?\nAnswer: 497589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((1184\/1632)\/(-37)) + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**3 - y**2 + 2*y + 3. Let i be h(-2). Let b = i + -31. Calculate the least common multiple of 2 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -127\/5. Let o = 22\/15 + -212\/165. Sort f, -2, o in decreasing order.\nAnswer: o, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 6*a - 3. Let b(w) = -5*w - 6. Let m(z) = -2*z - 4. Let r(y) = -3*b(y) + 5*m(y). Determine -2*g(x) + 3*r(x).\nAnswer: 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22695 and 45390.\nAnswer: 45390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645182 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -1 - (-6 + 7). Let p(m) = 2*m**2 - m + 4. What is the remainder when p(c) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Let o = -0.05 + 0.01. Let c = o + -0.06. What is the third biggest value in c, u, 6\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/10633774 and -29\/4.\nAnswer: 21267548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1260 - -642. What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from eeoeeddeodoeoodeeeo?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 3, -42, -4, 2\/7, 21\/226, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 4*m**2 + 17*m - 6. Let y be d(6). Suppose -25*n + y*n = -177. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2321*p + 2367*p + 1518 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -4, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3416, 3400, 3382, 3362?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.51 and -5199.68.\nAnswer: -5201.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4593, 9450, 14579, 19980, 25653, 31598?\n\"Answer: 136*r**2 + 4449*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**22*(l**(8\/9)*l*l*l)\/l)**(-5\/9))**(-42))**48 assuming l is positive.\nAnswer: l**(260960\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, u: 10}. What is prob of sequence uku?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**9)**40)**(-2\/33) assuming q is positive.\nAnswer: q**(640\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 1, k: 2, n: 1, g: 1}. Give prob of picking 1 h and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 54*d - 546. Determine z(-40).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -453, -779, -1235, -1821, -2537, -3383?\nAnswer: -4359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 take away -4459?\nAnswer: 4459.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -39*w + 3. Let m(z) = -9*z + 3. Let v(x) = 17*x - 7. Let i(c) = 5*m(c) + 2*v(c). Let f(q) = 18*i(q) - 5*j(q). What is f(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 13. Let l(q) = q**3 - 8*q**2 + 6*q + 9. Let v be l(7). Suppose v*z - 6 + 2 = h. Solve -z + 7 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o**5\/2 - 1955*o**4 - 3064*o**3 - 277*o**2 + 1671*o\/2 = 0 for o.\nAnswer: -557, -1, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 4*r + 5. Let h be (-1)\/(1\/(-5)) + 27\/(-9). Suppose -2*s - 10 = s + 5*g, h*s + 4*g + 6 = 0. Give b(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 284, 302, 336, 392?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34663\/10 - -3477. Calculate the common denominator of -21\/52 and x.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/10)\/1)\/(((-264)\/11)\/240)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 154\/(-35) - (-3)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 26. Let d(h) be the second derivative of -h**4\/4 + h + 36. Determine d(z(c)).\nAnswer: -12*c**2 - 312*c - 2028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871*x - 258*x - 269*x - 3339 = 281*x for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44868 divided by -22434\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 35.9405. Let n = i - -0.1595. What is the third smallest value in n, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 5, w: 4, a: 1}.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1473*h**2 + 1474*h**2 + 40*h + 3 + 146*h)*(-h + 5*h - 3*h + (-h + h - 2*h)*(-1 + 3 + 0)) to v*h + i*h**3 + u*h**2 + d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 + 19*x**2 + 119*x + 245 = 0?\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -395*n**3 - n**2 + 4*n - 4. Let o be g(1). Let a = -399 - o. Is a at least -27\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*q - 112*q - 63 - 732 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.785724 nanograms to milligrams.\nAnswer: 0.000001785724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2237218 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 167. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -0.02. Let a be ((-4)\/3)\/(3\/(-45)). Let q be ((-2)\/a)\/((-4)\/(-10)). What is the closest to q in -1, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 - 2*b. Calculate the remainder when 431 is divided by m(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 221062168*g - 12217120530215056.\nAnswer: -(g - 110531084)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 1 - 3*u**2 - 2*u**3 - 2*u**3 + u**3 as b*u**3 + d*u + n*u**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k + 70. Let i be h(-11). Suppose -i*p + 3371 = s, 0 = 5*s - 5*p + p - 16855. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37686334, -75372669, -113059006, -150745345?\n\"Answer: -d**2 - 37686332*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2364553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/24*2 + (-210)\/9. Let g(w) = -w**3 - 23*w**2 - 11*w - 15. Does 39 divide g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3712 + 418 = -542*s - 2374 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:32 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -13\/2*j**2 + 13\/30*j**6 - 1\/3*j**3 + 0 + 3\/20*j**5 + 0*j**4 - 106*j. Find the second derivative of l(v) wrt v.\nAnswer: 156*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggmgafggfgmkgmmmk. Give prob of picking 2 k and 1 a.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Let t be k(3). Solve -10*d**2 + 36*d + 3*d**5 - 39*d**3 + 14*d**3 - 14*d**3 + 48 - 32*d**t - 6*d**2 = 0 for d.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606701 is divided by 1432.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1012.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 2*l - 3*v - 101, 3*v = 4*l - 20. Which is the biggest value? (a) 27 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:23 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2414874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/((-20)\/(-45)). Solve 0 = -d - f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:21 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*96\/(-108)*75\/40?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u - 7 = -7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 36511 + 5*l + 0*l - 36528 - 2*l to n*l**2 + m*l + y*l**3 + j and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3418?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443 - -3095\/7. Let y be (4\/(-2))\/(-1 - 1). Which is the biggest value? (a) y (b) d (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51 (b) 2\/7 (c) -769647\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 103580*t + 761. Determine c(0).\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1025 - -1024. Let v(a) = -58*a**3 - a**2 + 7*a + 7. Suppose -i + 4*i - 5*q - 25 = 0, i + q = 19. What is the remainder when v(h) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 + 5*f + 1. Let o be x(-5). Let b be 1 + o - 13\/8. Let t be -4 + (-402)\/(-112) - (-4)\/14. Put b, t, 4 in descending order.\nAnswer: 4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3)\/(1 + (-5 - -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69610361.8 rounded to the nearest 1000000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*t - 14 = 1, -5*t + 5 = 0. Suppose -v*n + 0*z = -z - 71, 3*z + 38 = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 594 + -592. Solve t - 2 = -3*s, 3*t - l*s = 5*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:53 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1853329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v + 4. Let u be b(4). Let j be (6\/(-5))\/((-81)\/2970). Find the common denominator of 46\/j*(u + 7) and -63\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1722 and 0.04046.\nAnswer: 1722.04046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65273 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10032.29863 + 5.\nAnswer: 10037.29863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 100*o**3 - 228*o**2 - 324*o.\nAnswer: 4*o*(o - 3)*(o + 1)*(o + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 8:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1bf?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - -1) - (-1 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 2*f - 4, 5*f - 3*v - 22 = 0. Calculate the remainder when 1743\/33 - f\/(-11) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1122 times 5417?\nAnswer: -607.7874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 15836 - 18311. Let z be ((-9)\/3)\/(-3) + -165. Is z less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5 + 106*n**4 + 1560*n**3 - 800*n**2 - 112000*n = 0.\nAnswer: -20, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -1.3. Let j = -1 + u. Let q = 0.2 + j. Which is the second smallest value? (a) q (b) -0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*6*(-1*sqrt(3))**2 - (-3 + (sqrt(363) + 1)*-5).\nAnswer: 61 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than or equal to -7.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9*s - 12*s + 185, -4*s + 560 = 3*t. What is the remainder when 1870 is divided by t?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*l - 3 = 0, 3*o + 8*l - 3*l = -37. Let p = 27 + o. Suppose -16 = -p*n + 7*n. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333558882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*o + 30, -2 + 24 = 5*b + 3*o. Let p be ((-18)\/12)\/((-1)\/b). Solve k - 3*i = -2 - 5, 4*k = -p*i + 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 - 7*b - 6. Let o be w(-5). Suppose 5*r + 0*g = o*g - 6, 3*g = 12. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**25\/a*a*a*a*a*a*a*a)\/(a*a**23) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -10*n + 330. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-704)\/(-24))\/((-2900)\/(-2175)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*z + 353760 = 47*z - 58*z. What is the highest common factor of 10912 and z?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7442*q + 7438*q - 14882*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3090 = -12*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 + 9*f**4 - 518*f**3 + 25817*f**2.\nAnswer: -240*f**3 + 216*f - 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) 75 (c) -0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrru when four letters picked without replacement from oggrbogbgrobgboobur?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.9 - -2124055.\nAnswer: 2124045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-172)\/(-60) - 4\/(-30). Suppose -p + 2 = 2*l, -7*p = -w*p - l - 17. Suppose -111 = -c + p*s, -2*c + 2*s = -0*c - 228. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -138048*a**2. Let p(u) = -2*u**2. What is o(p(t))?\nAnswer: -552192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -81. Let d(z) = -37*z - 1. Determine d(w).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121893 greater than -121896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 - 4*b**3 - 3*b**3)*(3*b - 14263*b**2 + 14804*b**2 - 3*b).\nAnswer: -541*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2572415371 to the nearest 1000000.\nAnswer: 2572000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*d - 501 = 259 - 15800 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/970 and -1\/80.\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.51 - 0.11. Let v = -122 - -106. Let t = 18 + v. What is the nearest to -1 in f, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 7*g + 18. Determine u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -28. What are the prime factors of t - (-1 - (3 + -7)) - -16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240) + sqrt(240))\/sqrt(12))\/(sqrt(12)\/sqrt(3)*5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -511, -596, -681, -766?\n\"Answer: -85*n - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-32)*(m**8\/m)\/(m**3\/m) assuming m is positive.\nAnswer: m**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 613693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12 (b) -0.5 (c) 0.3 (d) 3\/7 (e) -2\/261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.7046 rounded to 1 decimal place?\nAnswer: 920.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9191 and 29239399?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(sqrt(200) + sqrt(200) + ((-1 + sqrt(200))*-4)**2) - 6*(sqrt(200) + 1)*-2*-5)*-4.\nAnswer: 25968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -16 + 5 + 24*j - 5*j. Let o be w(7). Let n = o + -81. What is the greatest common divisor of 41 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/24 + 347*o**2\/16 + 525*o\/4 + 13066. Solve u(l) = 0 for l.\nAnswer: -3, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4 - 12*g**3 + 29*g**2 + 42*g - 144 = 0.\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*n = 59404, 6*u + n = 3*u + 44565. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 444, 1360, 2898, 5064, 7864, 11304, 15390, 20128?\n\"Answer: o**3 + 305*o**2 - 6*o + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*n**4 - 23976900*n**3 - 354871440500*n**2.\nAnswer: -5*n**2*(9*n + 266410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38*30.9\nAnswer: -1174.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 10. Let q(c) = c - 2. Let z = -36 - -22. Give z*q(j) - 3*a(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose 0*m = l*m + 515. Let i = -54 - m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(49 - (-15428)\/(-315)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/7, 5, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-25 - -28) - 39\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17986 + 65638. Does 76 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5628 + 1412 = -45*n - 129*n + 1124 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 7849 - 8545 + 16394 - 23*b**2.\nAnswer: -23*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 + i - 2. Let v be f(5). Let k = v + 2. What is the second biggest value in k, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*n**2 + 21*n - 21*n + 494*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10644524101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n - 10. Let i(k) = -2*k - k**2 + 2 + 4 + n*k + 0*k**2. What is the units digit of i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 + 8. Let w = -18 - -17.3. Let f = h - w. What is the nearest to f in 2\/13, 0, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 13961010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 25*q**2 - 25*q + 25. Let h be b(-26). Sort h, 1, 9 in increasing order.\nAnswer: h, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4905.77m?\nAnswer: 4905770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25075 by 98.\nAnswer: 25075\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(3\/7)*r\/(r\/r**30*r) assuming r is positive.\nAnswer: r**(213\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(245) - (2*sqrt(5) + 5).\nAnswer: -5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 5. Let n(z) = -z - 5. Give 6*b(a) + 7*n(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495002 is divided by 6436.\nAnswer: 5866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 5, x: 3, v: 2, c: 2, p: 6}. Give prob of sequence xvx.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 153641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11 - s + 22 - 10. Let z(r) = -4*r + 7. Calculate -6*g(n) + z(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - o**4 + 3*o**3 + 3*o**4 - 5*o**4 + o**4 + (0 + 4 - 3)*(-5*o**3 + 5*o**3 - o**4).\nAnswer: -3*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 64. What are the prime factors of (1895\/25 - 8)*y*5?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttat. What is prob of sequence tat?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1134)\/(-154)*(-9218)\/1257?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2715778349 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 5, z: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 - 3674624?\nAnswer: -3674925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 39*f**2 + 32*f - 646. List the prime factors of r(-49).\nAnswer: 2, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42851, -42821, -42791, -42761?\nAnswer: -42731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10503 - 0?\nAnswer: -10503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {w: 3, t: 3, p: 3, r: 3}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1 + 0 - 4 + 2 + (3 - 1 - 1)*(1 - 6 + 4) + 0 - 1 - 1 + (-5 + 3 + 4)*(-2 + 0 + 1))*(-374 + 374 - 120*w).\nAnswer: 1320*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -915673.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, 4, 54, 102?\n\"Answer: -s**2 + 55*s - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -107 - -112 - (2 + 8 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13373666311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94480724.4513 and -569.\nAnswer: 94480155.4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 49 = -w, -3*s = 7 - 4. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33760 and 118920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 15*v + 14*v**2 - 7\/6*v**3 + 0. Let a be w(4). Solve a = 2*c - 3 - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53162.09 - 53376. Let u = s - -213. Round u to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -158 + -7?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 6*j**2 - 3*j**2)*((4*j - j - j)*(9*j - 70 + 70) + 2 - 2*j**2 - 2).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 11 - 1. Suppose 20 = 3*i + 2*i. Solve i*r - 20 = -5*t, 0*r - 15 = -h*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0495282844 + -0.04952. Round c to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = 5*f. Suppose 0 = 5*c - f - 20. What is the least common multiple of 40 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:35 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 54*w - 49*w - 4 = 0, 0 = -o + w. Let b(y) = y**2 + 3*y - 1. Let i = 37 + -36. Let h be b(i). Solve -g + h*g = o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4256592*-0.09\nAnswer: -383093.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94473*v + 72 = 94485*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 6. Let v be g(9). Suppose 9 + v = -2*f. Let o(r) = -r**2 - 10*r - 18. Let d be o(f). Solve 2*x - d = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2062243 (base 9) to base 6\nAnswer: -35354403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 230 - 41*l - 710 + 40*l in the form q*l + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/5 - 26*y**3\/5 - 102*y**2\/5 - 126*y\/5.\nAnswer: -2*y*(y + 3)**2*(y + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kknb when four letters picked without replacement from kfbnnbkfb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(3 + (sqrt(242) - 5*(sqrt(242) - (sqrt(242) - (0 + sqrt(242)))))))**2.\nAnswer: -248384 + 16896*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -578320.6 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01896368217 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 3*l + 1, -3*l = -5*a - 31. Let v be 1\/l + (-679)\/14. Let u = v - -152. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53115 - -53115.4. Let z = 0.4 - -0.1. Let f = -0.2 + 1.2. Which is the second biggest value? (a) 2 (b) f (c) z (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**4 - 30*d**3 + 2988 wrt d?\nAnswer: 8*d**3 - 90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1767517 (base 8) to base 16.\nAnswer: 7ef4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/21, -1\/4, -5, 0.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20*u**3 - 11*u**2 - 11*u + 10. Let r(m) = -4*m**3 - 2*m**2 - 2*m + 2. Determine 2*f(q) - 11*r(q).\nAnswer: 4*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -2. Suppose 2*i = -2*g - 8, 3*i = 129*g - 126*g + 6. Sort 3, i, q, 11 in increasing order.\nAnswer: q, i, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.16*-13.53802\nAnswer: -29.2421232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 4 + 17)*(0*y**2 + 2*y**2 - y**2)*(-2 + 2 + y).\nAnswer: 43*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1233.7 + -1244.7. What is the second biggest value in x, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49ea78 (base 16) in base 11?\nAnswer: 2809535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7182.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.58079ug in kilograms?\nAnswer: 0.00000005158079","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**3 + 7*s**3 + 17*s**3 - 8*s**3 + 2*s. Let k(r) = 49*r**3 - 93*r**3 + 69*r**3 + 5*r. What is -2*k(n) + 5*w(n)?\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 0*p**2 + 2*p - 4*p)*(48 - 13*p - 19*p + 33*p + 4*p**2) to the form y + t*p + h*p**3 + j*p**2 + v*p**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (32976\/2748)\/(34\/(-4))?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 times 29.8?\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/1749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2. Let m be i(-2). Solve m*t = -t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from gqbng?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 3 + -4)\/(-1). Let w be b\/(9\/3)*5*-2. Let z = 39 - w. What is the remainder when 144 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -135, -209, -283, -357, -431?\n\"Answer: -74*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 41 - 156*p - 1604*p to t + x*p and give x.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + 3 + 0 - (-15 + 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 78*s**3 - 2*s + 0 + 5*s**2 + 75*s**3 + 0. Let q be 2 - 7 - 1\/((-4)\/12). Let d(r) = -7*r**3 + 5*r**2 - 4*r. Give q*d(c) + 5*z(c).\nAnswer: -c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -658, -986, -1314, -1642?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 6, j: 6, t: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:32 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16167*f**4 + f + 16962.\nAnswer: -64668*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 42*b. Let g(y) be the third derivative of -y**6\/360 + 5*y**4\/8 - 35*y**2. Let i(z) be the second derivative of g(z). Give i(h(m)).\nAnswer: -84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32904 (base 13) to base 16\nAnswer: -165d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86552 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11*z)\/z*z)\/(((z\/(z**(4\/7)\/z))\/z)\/z)*((z\/(z\/(z**(-2)\/z)))\/z*z)**(2\/27) assuming z is positive.\nAnswer: z**(778\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 794232690 divided by -5.\nAnswer: -158846538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 12. Give y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4193461, -8386923, -12580385, -16773847, -20967309, -25160771?\n\"Answer: -4193462*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596 = 31*y - 720 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64590.01 millennia to months.\nAnswer: 775080120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3776375\/128196 + 5808\/1187. Let i = v - -49\/27. Let w = -23 - i. Which is the closest to w? (a) -3 (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.023, -5, -7913, -1\/5 in descending order.\nAnswer: -0.023, -1\/5, -5, -7913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:53 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/245 or -1?\nAnswer: 8\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/((-2)\/54*(-156)\/104)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/9 + 191*d**2\/9 + 9400*d\/9 + 8836\/3 = 0?\nAnswer: -94, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 210212112?\nAnswer: -210212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4005 + -110?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 156811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-3*-1 + -3 + sqrt(343) + -3 - (-1*sqrt(343)*-3 + sqrt(343)*2*4)*-2)**2.\nAnswer: -2184*sqrt(7) + 231904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = -17*c + 328 - 49 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q**2 - q**2)*(0*q + 3*q - q)*(q**2 - 4*q + 4*q).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5 + 3*w - 2*w**2 + w**3 + w**2 - 4*w. Let d(o) = 7*o - 98. Let v be d(14). What is u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(88))\/sqrt(2))\/sqrt(4))**2*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3\/19, 1, 27, -0.19, -3?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 14. Let j be w(6). Suppose -j*p = -7*p - 46. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636, 633, 628, 621, 612, 601?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-9)*b**(-5))\/((b*b*b\/((b\/(((b*b**(-3\/7))\/b*b)\/b))\/b)*b*b)\/b**(-7)) assuming b is positive.\nAnswer: b**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -29*o**2. Let t(k) = -3748*k + 18. What is t(r(d))?\nAnswer: 108692*d**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.606076 years in months?\nAnswer: 115.272912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14528 and 2240?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 287230.\nAnswer: -66\/143615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210*k**2*l**3 - 31*k**2*l - 1510*k**2 - 289*k*l**3 - 1965*k*l**2 + k*l + 9*k - 2 wrt k.\nAnswer: -420*l**3 - 62*l - 3020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -25 + -10 + 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49137 - -49136. Let h = 0.3 + -0.32. Which is the nearest to q? (a) h (b) 3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + 5 + -4 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -13 - -17 - (-1 + (4 - 1) - 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30846435 and 1258845.\nAnswer: 9465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 28*v**5 - 66*v**4 - 300*v**3 + 470*v**2 + 12*v - 144 = 0.\nAnswer: -3, -1\/2, 6\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + (-51)\/(-6)*1. Let m = f + -12. What is the units digit of (m\/(-8))\/((-2)\/(-384))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 965 from -12.\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**2 - 2. Let d(g) = -65*g. What is w(d(u))?\nAnswer: 260*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzhzrhrhhrrhrzrhh. What is prob of sequence hrz?\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/18 and -95\/174274.\nAnswer: 1568466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1827 and 83839?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/9 and (5 + -2)*(-50)\/8 + 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 2, 5\/2, 5\/6, 0.1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 9849876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 826*f**4 - 19120*f**3 + 3827*f**2 + 10?\nAnswer: 19824*f - 114720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*m + 149740 = -617237 - 798300. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3815 + 4133. What is the highest common divisor of d and 4876?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-56676)\/(-6) - 6\/(12\/14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g - 9*g + 5*g)*(-2 - 2 + 6)*(1 + 1 - 5) + 3*g + 1 - 1.\nAnswer: 111*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a factor of 412776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12254 and 1573?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*i - 723, 10*c - 2*i = 9*c - 184. Let n = -106 - c. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 20*d**3 - 10 + 2 + 3*d.\nAnswer: 20*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 9 + 18*y + 28 as x + v*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -21*n**2 + 4*n + 4. Give x(-2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4606 and 4051118.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + (-9)\/2. What is the nearest to -1\/3 in -7, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11053?\nAnswer: 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171587907 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5900.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/446*18\/(-12)*(-6 - 28) and -63\/10.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9943\/6090 + -2\/3045. What is the common denominator of i and (-86)\/4*2\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 6. What is the least common multiple of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-3*m + 2*m + 3*m) - 3*m + 3*m + 3*m + (4 + 0 + 4 - 4 - 1 + 1 + (3 - 2 + 0)*(0 - 1 - 1))*(2 + 2 - 2)*(-3*m - 4 + 4).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 585*i**2 - 4 - 587*i**2 + 8 - 4. Let g(h) = -917*h**2 - 1. What is g(x(y))?\nAnswer: -3668*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46754780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -21, -5, 222, 2 in decreasing order.\nAnswer: 222, 2, -5, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-165)\/383) + (4 - (-11 + 22)). What is the closest to -3 in 2, f, 37, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 317, 644, 971?\n\"Answer: 327*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 minus -0.0271?\nAnswer: -201.9729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztzzzxcxcczzx. What is prob of sequence czx?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k**(1\/2)*k)\/k)**(-38))**24*(k*k*k**(2\/3))**(2\/49)*k**(-2)\/(k*k\/(k\/(k**(1\/4)*k))*k) assuming k is positive.\nAnswer: k**(-1343663\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4311 and 713710.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajhahhkaaakhjammo. Give prob of sequence jjmh.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78268 = -22*k + 24*k - 3*l, 0 = -5*k + l + 195670. Round k to the nearest 100.\nAnswer: 39100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7154*d + 1775*d + 1774*d + 1825*d + 1778*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuxuuxxuu. What is prob of sequence uu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 - (-1)\/(7\/(-63)). What is the derivative of 102 - 324*b**p + 86*b + 82*b - 168*b wrt b?\nAnswer: -648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -110683\nAnswer: -110609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**24 assuming s is positive.\nAnswer: s**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*k = -7, 4*y = -0*k + 4*k + 12. Let o be -22 + 0\/(-1) - (-2)\/y. Is -25 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 4*v**2 - 2*v + 5. Let i = 14 + -6. Suppose -a = a + i. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6214 + 13656. Is i a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(260\/15))\/(33\/(-8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*s + 2192964 = 0, 4*p - 3*s - 4110373 = 275573. Suppose 14*g = -25*g + p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -17*d**5\/20 - 7*d**2 - 19*d. Find the first derivative of w(n) wrt n.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (104\/(-84)*3 - -2) + 2. Which is greater: -1\/8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2213239 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-94 - 0)*(-208)\/32)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 6*p - 3. Let t be d(-3). Sort -3, t, -1 in descending order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 16 - (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9996.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 10*t = -21. Solve -t + 3 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let y(j) = -9*j - 59. Let i be y(29). Let p be (i\/v)\/((-14)\/(-105)). Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + (sqrt(140)\/(sqrt(10)*3) - sqrt(14)))\/(sqrt(7) - (sqrt(175) - sqrt(175)*1)))**2 + (sqrt(128)*3)\/(sqrt(8)\/(sqrt(2)*3)).\nAnswer: 2\/9 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and 8.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {z: 1, k: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -69*d + 1111. Let t be q(15). What is the greatest common divisor of 95 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -73.94239?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15797 - -37424. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 49. What is the tens digit of i(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 + 0*s**2)*(1 + 2 + 0)*(7*s**3 - s**3 - 2*s**3) + (-2*s + s**2 + 2*s)*(-5*s - 13*s**3 + 5*s).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -x + 31. Let i(y) = -y**3 + 23*y**2 + 2*y - 52. Determine i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 10 - (-90 + 50).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116418 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*b - 45 = 0, 5*f = -18*b + 13*b - 95 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-11)\/3)\/(24\/(-18)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8 + -1.8. Let f = x + -5. Let b = -2.9 - -3. What is the second smallest value in f, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3, f: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*m - 1544 = -2*z, 5*z + 4*m - 1971 = 0. Suppose 12 + z = 13*g. Which is smaller: g or 32?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28418*j + 12222 = -29000*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + 2*h**2 - h**2)*(5*h - 11*h - 8*h) + (4*h - 4*h + 3*h**2)*(-h - 3*h + 2*h).\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/5 (b) -15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -1)*1.\nAnswer: -1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/21 and (637621\/(-22743) - -13) + 15?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*t + 16312*t**2 + 7*t**3 + 72*t - 16310*t**2 + 2*t**4 - 1 to u*t**4 + b + c*t**2 + a*t**3 + p*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*m*s - 10693*i*m + 60*i*s + 7*i - 95*m*s - 4175*m - 10*s - 2 wrt i?\nAnswer: -3*m*s - 10693*m + 60*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3, -t - 5 = -0*t + 2*i. Which is the second smallest value? (a) -0.5 (b) t (c) -3\/4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06726491 minus 4?\nAnswer: -3.93273509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/20 + 2*o**4\/3 + o**2 + 2*o. What is the units digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-32)*4)\/(2\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 448 + -8510\/19. Is w at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15989 is divided by 15519?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/453376 and -17\/2833600.\nAnswer: 11334400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 17. Let i be h(10). Suppose y = 3*k + 100, 5*k + 2*y = i - 230. Is k > -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14020061 (base 7) to base 14.\nAnswer: 25b568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/sqrt(128) + -1*sqrt(7920))\/(3*(sqrt(5) - sqrt(40)\/(sqrt(8) + sqrt(8) + sqrt(8) + sqrt(8) + sqrt(8) + sqrt(72)\/sqrt(9)))).\nAnswer: -47*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 + 52*r**2 + 234*r + 72.\nAnswer: -2*(r - 12)*(r + 3)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.5 + -34. Let p = -638.03 + 629.5341. Let z = h - p. What is z rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 44, 81, 144, 239?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*s**3*u**2 - 21*g**2*s**3 + 183*g**2*s**2*u**2 - 6*s**3*u wrt u.\nAnswer: -6*g**2*s**3 + 366*g**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 28*c - 83. Calculate d(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -104.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpvpbpbpv. What is prob of picking 1 v and 2 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358 - 90 + 193 + 106 + 154 + 3*i.\nAnswer: 3*i + 721","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 391, -5, 0.1, 2\/1117, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11468 and 305.\nAnswer: 57340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3353 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 55777.1 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o - 8. Let x be l(0). Let q = 12 + x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/11 - 4*q**2\/11 + 2\/11 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 287 - 156. Let w = y - 68. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -5*k + 3*h - 18, -3*h + 22 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.128. Let d = g + 0.03. Round d to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Suppose 459 + 81 = o*v. Let u = -74 + v. What is the highest common factor of 374 and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -0.38. Let f = 0.1759 + 2.8241. Which is the smallest value? (a) u (b) -2 (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 871, 1678, 2485, 3292, 4099?\nAnswer: 4906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-18 - -32) + 5 - -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.5, -73, 5, -0.2, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8017 = 3*u - d, 5*d + 544 = 2*u - 4805. Let b = u + -42841\/16. Let h = -9192 + 73635\/8. Calculate the common denominator of b and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97360777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 16*h + 40. Let f(s) be the third derivative of 0*s**5 + 0*s + 3*s**2 + 0 + 1\/3*s**3 - 1\/60*s**6 + 0*s**h. Differentiate f(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296793, -296784, -296777, -296772, -296769, -296768?\nAnswer: -296769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17536)\/(-32)*(2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*j - 102*j**2 + 86*j + 22*j**2 as d*j**2 + g*j + i and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9275, 12418, 15561, 18704, 21847?\n\"Answer: 3143*s + 6132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 + h**2 + 3*h - 8. Let l = -10 + 2. Suppose -6*q = q - 21. Let z(n) = n - 409 + 819 - 413 + n**q. Calculate l*z(f) + 3*y(f).\nAnswer: f**3 + 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10967246.\nAnswer: 2, 5483623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 + 4*c + 2*c - 1 + 86*c**3 - 4*c - 86*c**3. Let u = 3 - 3. Suppose 4*r + 2*w - w - 1 = u, 5*r - 4*w - 17 = 0. Calculate i(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 - 18*m + 20. Let y(b) = -9*b**2 - 35*b + 39. Let i(w) = -11*d(w) + 6*y(w). What are the prime factors of i(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 - 6*p**2 + 2*p**3 + p**2 - 3*p**3 + 3*p**2 - 3*p. What is the remainder when 57 is divided by g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 - (-5)\/((-80)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/13, 2\/7, -0.7, 247, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3520))\/sqrt(11)*2.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 5656?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 113149.13?\nAnswer: 113149.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1309, 1308, 1295, 1264, 1209, 1124, 1003?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18 (b) 0.34 (c) 3 (d) 2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.597588mg to grams.\nAnswer: 0.001597588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 27 = 20*l. Let j(y) = 13*y**2 - 4. What is the remainder when j(l) is divided by 99?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -8*x + 36. What is the third smallest value in 0.4, 1\/4, -0.3, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56714 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 18\/22 - 0. Let y = 597 - 596.703. Let f = -0.497 + y. What is the third biggest value in 1\/4, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p = -59*p + 33*d - 36*d - 0 - 15, -4*p + 5*d + 27 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(152) + 3*(sqrt(152) + 2*sqrt(152)))\/sqrt(8)).\nAnswer: 4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000524 to six decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - p + 38 = 0, 0 = -3*v + p + 26. Solve -10 = 3*w + 5*i, -v = 2*w - 6*w + 4*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-504)*16)\/((-2)\/154). Calculate the highest common divisor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176359*w**2 - 184218*w**2 - 1 - 7 - 2*w + 7.\nAnswer: -360577*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65862114 to the power of 1\/2, to the nearest integer?\nAnswer: 8116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:51 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 72.9, 0.1, 0.06, -1.8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3*p + 3*p + 4*p - 5*p + 3*p - 2*p + 4*p - 4*p + 2 + 2*p - 2 + (2 - 2*p - 2)*(-1 + 4 - 2) + 3 - 3 - p)*(-2 - 2 - 2) as x + v*p and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/365 - 1478\/3285. Which is the nearest to -0.1? (a) v (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/(10*12\/6600).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2659255 is divided by 164?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -27. Let y = 99 + -99.166. Let o = y + 2.166. Which is the closest to u? (a) -1 (b) 8\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z**2 + 11*z - 24. Let q(p) = -14*p**2 - 13*p + 23. Let b(n) = -5*g(n) - 6*q(n). Calculate b(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8. Let i(f) = f + 2. Let d be i(p). Suppose 867*h = 850*h + 136. Calculate the highest common divisor of h and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - 3. Let k = 2.91 + 0.09. Which is the third smallest value? (a) k (b) i (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*v - 25*v**3 - 30*v**3 - 3*v**2 + 2 + 76*v**3 + 4*v**2 - 22*v**3 + 8*v**4 in the form m*v**2 + i + w*v**3 + t*v + j*v**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 5. Suppose 5*v - 2*p - 18 = 0, -5*v = 3*p + 3 - 1. Let i be (7\/v)\/(2\/(-4)). Let b = i + 11. Calculate x(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451010 - 1?\nAnswer: -451011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*m**2 - 205*m**2 - 98*m**2 to the form f*m + d*m**2 + c and give d.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.18, 2\/17, 1, -13, -7\/3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*15\/40*4 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m + 25*m + 16826 = 115*m + 986 for m.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*14.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (70\/4)\/((-1)\/(-2))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313587 - 313675.9972. Let u = r + 28.0088. Let a = 61 + u. Round a to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 865aa0 (base 11) to base 8\nAnswer: 5217445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 631 = -391. Factor q + 5*d**3 + 0*d**2 + 39*d + 30*d + 30*d**2 - 5*d - 4*d.\nAnswer: 5*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73107, -146231, -219355, -292479, -365603?\n\"Answer: -73124*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 18 = -14*s + 115. Solve 42*n + s = 46*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 28.\nAnswer: 33\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 6. Let c(z) = -35*z - 25. Let j(v) = 2*c(v) + 9*q(v). Let f(a) be the third derivative of a**4\/24 + a**2 - 60. Give f(j(s)).\nAnswer: 11*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30604299 + 8*j**2 + 224*j**4 - 30616812 - 12*j**4 + 3*j with respect to j.\nAnswer: 848*j**3 + 16*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, -3, -392, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/((((u\/u**(1\/6))\/u)\/u)\/u))**9\/(u\/u**(-11)*u*u*u)**(4\/33) assuming u is positive.\nAnswer: u**(983\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4320 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 22, 14, 6?\n\"Answer: -8*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12245133, 12245127, 12245115, 12245097, 12245073?\n\"Answer: -3*p**2 + 3*p + 12245133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20780 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680523 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t, 25*k + 13*t + 3 - 8 = 26*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15316 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x + 5. Let d(q) = q + 1. Let a(c) = 2*c - 11. Let p(t) = -a(t) - 6*d(t). Let b(h) = 6*p(h) - 5*y(h). What is b(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2\/9 + 7024\/(-3096)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*c - 12, -6 = -8*c - 815*h + 813*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 29. Calculate w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 9*b - 10. Let v be l(8). Let s = 1 - v. Let q be (-2)\/(s - (-11)\/(-3)). Solve t - g - 1 - 1 = 0, -5*t = q*g + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:27 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3\/3 + 1. Suppose -450*w + 56 = -446*w. Let s(o) = 8*o - 34*o - 30*o + w*o. What is i(s(a))?\nAnswer: 3528*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 + 3*p + 2. Suppose 2*n + 3*x = -5, -n - 3*n - 9 = 5*x. What is g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 2*m - 3*m + (-2 + 2 - 1)*(2 - 2 + 2*m) - 3*m - m + 2*m - 3 + 3 + 9*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*20\/((-700)\/(-49))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r - 270*r + 64*r - 4560 = 3273 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.108 + -0.012. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + (-1)\/(-2). Is q\/((4\/94)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1648*c + 545*c + 552*c + 550*c + 23 + 6 to the form d*c + b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20848750 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 167, -3631, 0 in decreasing order.\nAnswer: 167, 2, 0, -4, -5, -3631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 - (-95)\/175. Let i = 1654\/4335 + 16\/867. What is the closest to -1.6 in 0.3, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/(-5) + -4*(-1)\/10. Let j = w - -22. Suppose 164 - j = 3*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-258146)\/(-95304) + 4\/(-6). Let i = 5\/1444 + y. What is the common denominator of i and (-100)\/(-9)*(-5)\/8?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a8 (base 16) to base 8.\nAnswer: -12650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*m = 649 - 381. Solve -13 = 2*p - 3*h, 9 - 27 = 2*p - m*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104475 divided by 4179\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209*b**3 + 240*b**3 - 17*b**2 - 94*b**2 + 2 - 66*b**2.\nAnswer: -1969*b**3 - 177*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/2))**(6\/5))**(-48)\/((y\/(y\/(y*y**0*y)))**(-26)\/((y**(1\/7)\/y)\/(((y**(-6)*y)\/y)\/y))) assuming y is positive.\nAnswer: y**(1027\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/12 - l**3 + 75*l**2 - 7*l + 1. Let i(v) = -109*v. Calculate i(q(w)).\nAnswer: 218*w + 654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q**3 + 0*q**3 - 50*q**3)*(-2*q**2 + 0*q**2 + q**2 + (-1 - 1 - 2)*(-3*q + 3*q - 3*q**2) + (3*q + 2*q - 3*q)*(-2*q - 3 + 3)).\nAnswer: -469*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 9*r - 6. Factor -18\/11*f**4 - 74\/11*f**r - 8\/11 - 60\/11*f**3 - 40\/11*f.\nAnswer: -2*(f + 1)**2*(3*f + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30495863.\nAnswer: 30495863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1679*i + 2*i**2 - 1681*i + 10*i**3 + 2 - 2 to the form d*i**3 + y + k*i + m*i**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (422\/8)\/(13\/(-52)). Let f = z - -219. Calculate the lowest common multiple of f and 235.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124 (base 7) in base 3?\nAnswer: 1222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 92 - 17 = 0. Let u(c) = c**2 + 2*c - w + 2*c - 3*c. Find the common denominator of u(0) and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Suppose 13 = b - r. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 3.2 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 8*j**2 + 7*j - 16. Let l be o(8). Solve 4*f + 23 = -d, -2*d - 3*d - 5*f - l = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 16 in descending order.\nAnswer: 16, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 607, 854, 1067, 1240, 1367, 1442?\n\"Answer: -t**3 - 11*t**2 + 287*t + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.2 (c) -0.1 (d) 4 (e) 3356 (f) 7 (g) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 6, f: 2, k: 1}. What is prob of sequence fo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000092436 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2166 = 3*b, 3*b + 0*b = 6. Suppose -p = -2*o + 3214. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 3*y = -12, 0 = -3*u + 3*y - 12. Let d(s) = 5*s + 16. List the prime factors of d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 25 (b) 2 (c) 4 (d) 2\/5 (e) 7.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1894 - 1100. Let u = -579 + y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 15*q + 251. What is the tens digit of h(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 2294?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01705463 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 439544403242.\nAnswer: -439544403241.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 - 82. What is the tens digit of -4*30\/(-48)*p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-3)\/(-4))\/(-3))\/(234\/208). Let w = -6\/5 - -29\/20. What is the nearest to -3 in w, -3\/2, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98\/15249 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 56.9. Sort -2\/3, m, 1 in ascending order.\nAnswer: -2\/3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/35)\/((-4)\/(-14)). Let s = 299 - 295. Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 70 = -33*f + 16*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -22*b + 37. Determine t(-5).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31542625 is divided by 35722?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:10 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-3))\/1*-3. Suppose -5*b - 458 = -k, -3*k - p = k. Let z = b - -145. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 8*b - 5*b. Let f = b + -18. Suppose k - 57 = -2*k + 3*v, f = -4*v - 20. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6474 and 2?\nAnswer: 6474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1237\nAnswer: 2\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 778472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 600518 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000541 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/420 - 4*w**5\/105 - 11*w**4\/84 + 20*w**3\/21 + 8*w**2 + 17. Factor p(m).\nAnswer: -2*(m - 1)*(m + 4)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.19?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + -675\/4. What is the closest to 0 in -0.2, 0.6, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(21) + sqrt(336)*-3)\/((sqrt(77)*2*3)\/(sqrt(11) - (sqrt(176)*-2 + sqrt(11)))).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or 0.5583?\nAnswer: 0.5583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 150202712.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223713 and 469.\nAnswer: 223713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1591.78 - -1591.8. Which is the second biggest value? (a) 3\/29 (b) 0 (c) -2\/7 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 2. Let x(m) = -m**3 - 28*m**2 + 15*m + 425. Let c be x(-28). Solve d = c*r + 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -30) + (36 - 13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74*a + 96*a + 570*a)*(-7 + 7 + 4*a**2) + (5 - 5 - a)*(-2*a**2 - 2 + 2) + a**3 - a**3 - 3*a**3 + 2*a**2 to x*a + h*a**3 + i + p*a**2 and give h.\nAnswer: 2367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -707, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096896 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 8*h - 13. Let b be a(-6). Let z = 1\/750 + -2401\/113250. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) + sqrt(119)*-2 + sqrt(119))*-4 - sqrt(119)) + (sqrt(119)*-1*5 - sqrt(119) - sqrt(119)))\/((sqrt(175) - sqrt(175)*5)*6).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - -1) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3 - (30 - (-14190)\/(-450)). Determine d, given that 1\/5 + m*d**2 - 2\/5*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 0.1, -9, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2 + 0*a - 1\/2*a**2. Let b(n) = -5*n. Let o(w) = -81*w. Let m(r) = -33*b(r) + 2*o(r). What is m(c(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 429927 or 429890?\nAnswer: 429890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 4*n**2 - 3*n + 19. Let v be k(3). Solve -4*w + 4*l = v, -2*w - 2*w + 5*l - 33 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from xhxjccbcxcbcbxx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -329*f**2. Let x(q) be the first derivative of -q**2\/2 + 245. What is x(y(p))?\nAnswer: 329*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 + 61*b + 246. Does 14 divide m(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284 and 12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:58 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6791\/101844 - 28\/5535. What is the common denominator of -119\/920 and m?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3746500, -7492993, -11239486, -14985979, -18732472?\nAnswer: -22478965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.8 + 39. Let d = -1.8 - k. What is the nearest to d in 1\/8, -2, -2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -1, 2.\nAnswer: -2, -1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 8. Suppose -3*n + 835 = -2*w, -3*n - 196 + 1017 = 5*w. Let x = n + -167. What is the highest common factor of o and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 9:19 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -327*123\/(-369) - 222.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 - -213. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -23*c**3 - 9*c**2 + 78*c + 46. Let n(p) = -11*p**3 - 5*p**2 + 38*p + 24. Let l(a) = 4*i(a) - 9*n(a). Factor l(v).\nAnswer: (v - 2)*(v + 1)*(7*v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-37)\/((-3145)\/34) + 16\/10. Put -0.1, -3, -5, a in decreasing order.\nAnswer: a, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 639 - 137. Is 1 + 4 + (-32)\/4 + c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044865147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 25 = -2*f - 25, -5*y - 45 = 2*f. Let c = f - -60. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 4*o**3 + 0*o**3 + (0*o**2 + 2*o**2 + o**2)*(2001948*o + 3 + 1980619*o - 3954620*o - 3).\nAnswer: 83839*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5929024901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -44. Suppose -19 = -c - 7. What is the remainder when s\/c*(-66)\/(-4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqm. Give prob of sequence mr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 38*l**2 - l - 10. Let d be y(4). What is the third derivative of -7*p**5 + 0*p**2 - d*p**4 + 594*p**4 - 3*p**2 wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000286719 to 6 decimal places.\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 21*m + 2553. What is the smallest common multiple of m and 12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 887, 1979, 3497, 5435, 7787?\nAnswer: 10547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 791 + -8709\/11. Let t = -45 + 64. Find the common denominator of n and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*n - 80, 29*k = 32*k + 2*n + 46 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215 and -5.\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 774*c. Let y(z) = 88715*z. Give y(p(b)).\nAnswer: 177430*b**2 + 68665410*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.426 plus -42?\nAnswer: -41.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(4\/3)*y)\/(y*y**(-4\/7)\/y*y))**(-4\/19) assuming y is positive.\nAnswer: y**(-244\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -62, 4\/5, -0.8 in decreasing order.\nAnswer: 4\/5, -0.8, -3, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1100, 1103, 1106, 1109, 1112?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 92 = 2*r. Find a, given that 3\/4*a**r + 3\/4*a - 3\/2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 112952*j\/3 - 112958.\nAnswer: 2*(j - 56479)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0 + 1\/2*o**3 + 1\/12*o**4 + 21*o - 8*o**2. Is 6 a factor of d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910880459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50\/1483, -4, 3, 16 in decreasing order.\nAnswer: 16, 3, 50\/1483, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(2\/7))\/k))**25\/(k**0)**6 assuming k is positive.\nAnswer: k**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Determine q(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjjsssjnjjss. Give prob of sequence sjjj.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o**2 - 16*o**2 - 16*o**2 - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*((-18)\/14 - -1). Let k = 111\/7 - 4766\/301. Suppose 0 = -5*j - 25, 33 = -u + j - 8*j - 6. What is the nearest to k in -0.4, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 11) in base 14?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -136536 divided by 11378\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 28. Let n = -3148 + 3154. Sort n, 0, a in descending order.\nAnswer: a, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(8 - 8 + p) + 131 - 71 + 81*p - 60 to u*p + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let m(h) = -25778*h. Determine q(m(s)).\nAnswer: -1329010568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175429.\nAnswer: 41, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 26.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/175 and 117\/250.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 7766374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2 + 1184*c - 350464 = 0.\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -9 + (-2 - 0 - 5) - (-17 + 7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*m*v**2 - 127062594*d**2*m - d**2*v - 3051*v**2 + 6309 wrt m.\nAnswer: 3*d**2*v**2 - 127062594*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813.3712 minutes in hours?\nAnswer: 46.88952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(49)\/sqrt(175)) - (-3*(sqrt(5808) - (-3*sqrt(5808) - sqrt(5808))))**2) + -2.\nAnswer: -1306802 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1\/3)*1. Let j = -15\/14 - -17\/42. Let y = -1.98 - 0.02. Which is the closest to j? (a) f (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwswwswsswswwgwgs. What is prob of sequence sw?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2583? (a) 1.97 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 11005 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 212*(-4 + (-85)\/(-20)). Let t = m + -52. Let x = -3 - -7. Which is the smallest value? (a) t (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59 - 16952?\nAnswer: -169ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 - 14*m + 217. What are the prime factors of q(18)?\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 596*d**3*g*r**2*s**2 - 25*d**3*r*s**2 - 3*d**2*g*r**2 + 3*d**2*s**2 + 2*d*g*r*s**2 + 1021*d*r**2*s wrt d.\nAnswer: 3576*g*r**2*s**2 - 150*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 10 = -14*z. Suppose 3*h - z*k = 36, 2*h + 3*k - 29 + 5 = 0. Let f(w) = 56*w + 19. Is f(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 5*z + 18)*(-6*z + z - 2 + 3*z).\nAnswer: 10*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14380, 114942, 387854, 919276, 1795368, 3102290?\n\"Answer: 14360*d**3 + 15*d**2 - 3*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/4, 0.9, 579373, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/21683, -5, 5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from {z: 1, w: 2, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 60 = 5*u, -2*y + 4*u - 208 = -6*y. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41491381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 10*d - a + 7, -5*d - 5 = 5*a. What is the nearest to 0.22 in d, -2\/3, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8737*(-3)\/15 + 10\/(-25). Let s = 16626 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148733343 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/10)\/z)\/(z*z**(-2\/43)*z))**(-1\/28) assuming z is positive.\nAnswer: z**(163\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 80*t - 140.\nAnswer: -5*(t - 14)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 65891926443?\nAnswer: 65891926443.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 82*y + 186. Give o(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h. Let g(s) = -s. Let n(p) = -25*g(p) - 4*k(p). Let d(j) = -j**2. Determine n(d(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 0.022, 2\/13 in increasing order.\nAnswer: -6\/7, 0.022, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/30 and 11\/2772390.\nAnswer: 2772390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0447 + -0.05. Round j to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -27*z - 51. Let k be w(-8). Let p = k - 145. Calculate the greatest common divisor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*f - 23, 7 + 8 = 5*z + f. Let c be (6\/(-4))\/((-5)\/z). Let t be ((-11)\/22)\/(10\/(-8)). Sort t, c, 0.3, -1\/6 in decreasing order.\nAnswer: c, t, 0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*0.1\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 4*f + 11. Let x be g(-7). Is (-12 - x)\/((-2)\/226) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 223128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - -9 - 3) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*z - 29*z + 32*z + 4*z**2 - 3*z**2 + 18*z + 1241 wrt z?\nAnswer: 2*z + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + u + 3 = 17, 5*u + 18 = 2*v. Let b be (1 - 10\/6)*-6. What is the third derivative of 3*o**4 - 6*o**v + 4*o**b - 2*o**2 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 60*z**2 + 214*z - 526. Calculate x(-56).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21681*t**6 - t**5 + 44*t**3 + 7473*t**2 + 6*t?\nAnswer: -2601720*t**3 - 60*t**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60588, 60708, 60828?\n\"Answer: 120*r + 60468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 53. Suppose -n = 5*y - 11. Suppose y = 3*f + 2*l, 0*f - l = -f + 4. Solve 3 + 6 = 3*z + f*v, -5*v + 9 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -60*h**3 + 21*h**2 - 12*h - 10. Let r(u) = -150*u**3 + 53*u**2 - 29*u - 24. Determine 12*g(l) - 5*r(l).\nAnswer: 30*l**3 - 13*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:31 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 - 2*g**2 - 2*g**4 - 32*g + 31*g in the form i*g**3 + y*g**4 + z + o*g**2 + f*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.27089244 to one decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Let k = 441 + -471. List the prime factors of (-648)\/k + j\/(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449862?\nAnswer: 2, 3, 13, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*d**3*w*x**3 + d**3*x**3 - 3*d**3*x - 3*d**3 - 2*d*w*x**3 wrt w.\nAnswer: 72*d**3*x**3 - 2*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 1011 + 2751 = 0. Calculate the remainder when 350 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193.1 + -24.1. Let v = b + -169.1. Let r be (1 + (-38)\/40)*-6. What is the closest to v in 0.4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, 0 in increasing order.\nAnswer: -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/60*(-2)\/(-60). Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*h**3*n**2 - 40*h**3 - 3*n wrt n?\nAnswer: 450*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49951 + -116535687\/2333. Is d at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23, 2, 3.92, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 8) to base 13.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1155 + 174 = -70*x, -554*x = -557*x + 2*i + 44 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69\/(-2)*32\/(-24). Let x = j + -22. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k - 3. Does 17 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 18. Let z(a) = 2*a + 36. Let l(h) = 7*j(h) + 3*z(h). Suppose 20 = 5*v - 4*x, x + 3 = -2. What is l(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11326789, -22653579, -33980371, -45307165, -56633961?\nAnswer: -67960759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152307 (base 8) in base 15?\nAnswer: b673e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r**3 - 5*r + 21. Let f(u) be the third derivative of -u**4\/24 + u**3\/6 + u**2. Let m(q) = 5*f(q) - h(q). Differentiate m(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -98\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10101110121 (base 3) to base 14\nAnswer: 1a42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -82 and 4.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/7))\/(h**(-7\/5)*h))\/((h\/(h*h**(-6))*h)\/(h**(-2\/9)*h)) assuming h is positive.\nAnswer: h**(-1609\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17370, -17769, -18168?\nAnswer: -18567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 3. Let r(s) = -13*s**2 + 7*s - 7. Let p(u) = 4*u**2 - 2*u + 2. Let m(l) = 7*p(l) + 2*r(l). What is n(m(h))?\nAnswer: 8*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 17 = -3*x, 153*l - 23 = 3*x + 155*l for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 14*r**2 + r - 20. What is m(-14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2237655, 4475322, 6712987, 8950650, 11188311, 13425970, 15663627?\n\"Answer: -j**2 + 2237670*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 378?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/5 + 3 + 0. Suppose s*j + 47 = -x - 2, 5*x - 25 = 5*j. Let m be 4\/(-6)*j\/(-15). Sort -2, 5, m in ascending order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*i + 2*i = -4, -d + 10 = -i. Let z(h) be the third derivative of h**5\/60 - 5*h**4\/24 - 4*h**3\/3 + 5016*h**2 + 1. Give z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*s + 347*s - 4*q = 140, q - 203 = -3*s. What is the remainder when 114 is divided by s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u**3 - 2*u**2 - 14*u - 11. Let p be c(-1). Suppose 10 = 5*i - 10. What is s in 3*s**4 - 2*s**4 - 5*s**i + 12*s**3 - p*s = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 1 + (-5)\/(5\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 898?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126*w**3 - 253*w**3 + 133*w**3 + (w - 2 + 2)*(3 - 2*w**2 - 3) - w**3 + 4*w**3 - 2*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*b + 435 = 0, 9 = 2*b - 1. What is the remainder when g is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.15249nm to centimeters.\nAnswer: 0.000001915249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66794 = 194*b - 181*b. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -716018*j**2. Let c(i) = i. Determine q(c(h)).\nAnswer: -716018*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/5)*i**5*i**(2\/3)*i**(2\/7))\/(((i*i**(-8\/7))\/(i*i\/i**4*i))\/(i**(2\/3)*i**(1\/9)\/i)) assuming i is positive.\nAnswer: i**(1913\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zne when three letters picked without replacement from {n: 2, e: 1, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -444, -1766, -3968, -7050?\n\"Answer: -440*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -9*n**4\/2 + 25*n + 1. Find the first derivative of w(x) wrt x.\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18*516\/(-216))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7 - 2*i**2 + 13*i**2 + i**3 + 9*i + 3*i**3 - 3*i**3. Let g be t(-10). Find the second derivative of -5*m**3 + m + 7*m - 5*m**3 + m**g wrt m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -477\/11 and 65\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 286636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 80390528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i = 42*i + 60. Suppose -i*u + 15 = -57. Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 9*m + 3. Let h be a(-5). Let v be (3 - 3 - -3) + h. Solve -2*c = 3*g + c + 12, 3*c = -4*g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - u + 4)*(-12 + 12 + u) + 0*u**2 + 2*u**2 - 3*u**2 + (4 - 4 - u)*(-2*u - 2*u + 5*u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 - 2.7. Suppose -2 = 5*u + 18. What is the closest to -1 in m, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**4 - 550*v**3 - 5220*v**2 - 3240*v.\nAnswer: -5*v*(v + 18)**2*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10920936 by 11832.\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19060002 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 1336478?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -343, -19, 5, -5.\nAnswer: -343, -19, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/16 and 7\/768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*j + 3*b, 5*j - 7*b - 12 = -6*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 2.97. Let h = 55 - -3. Suppose -h = 2*b - 52. What is the nearest to 1 in -3\/4, b, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 87, 273, 597, 1077, 1731, 2577, 3633?\n\"Answer: 3*w**3 + 51*w**2 + 12*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*a + 156 - 242 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 3 - 3)*(2077*r**2 + 2 - 4*r**3 - 2*r**4 + 2109*r**2 - r - 4202*r**2) to the form j*r**2 + b*r**4 + u*r + c*r**3 + g and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -97, -145, -193, -241, -289?\n\"Answer: -48*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 equal to 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 262 = 2*x - 2*p, 8 = 2*p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*s + 3 + 5 = 0, 0 = 5*p + 2*s - 16. Solve -p*v = -0 - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11442, -45697, -102764, -182643, -285334?\nAnswer: -410837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*f**2 + (-2*f**2 + 4*f**2 + 8*f**2)*(3 + 0 - 4) - 6*f**2 - 5*f**2 + 5*f**2 to the form d*f + h + n*f**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2603374 or -2603375?\nAnswer: -2603374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 v, and 1 d when four letters picked without replacement from {m: 3, v: 5, d: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - 0) + (6 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 16670 and 17925 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*l - b - 4, -3*b - 1 = 2*l. Let x be (-3)\/l + 16947\/36. Let w be 2\/(-6) - x\/(-6). What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 305\/15*-12*(3\/48)\/(4\/(-16)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.593895 * 0.018.\nAnswer: 0.01069011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15950 is divided by 239.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(-8 + 16 - 12)*(5*g - 5*g + 2*g) + (-1 + 4 - 1)*(2 - 2 - 2*g) - 2*g - 3*g + 3*g as n*g + q and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -26. Suppose 0*y - 3*y = t*h - 1368, -2*h - 1848 = -4*y. Suppose 2*d - 345 = n - 4*n, d = -4*n + y. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -39*g**5\/5 - 2*g**3\/3 + 25*g + 38. What is the third derivative of m(h) wrt h?\nAnswer: -936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 28*i**2 - 29*i + 8. What is b(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322 + -22224134?\nAnswer: -22224500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 46, 120, 246, 442?\n\"Answer: 3*b**3 - b**2 + 22*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68 - 5d8ac?\nAnswer: -5d914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 16. Let y = q - -50\/3. Which is the second biggest value? (a) 2 (b) y (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17213279 divided by -22.\nAnswer: 17213279\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 251322*m**2 + 4*m - 2. Suppose 0 = -2*o + 6*o - 8. Let y be z(o). Suppose i + 144706 = -y. What is i rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/7 - 202392*w**3\/7 - 6827694012*w**2\/7 - 76804719012792*w\/7 - 690689575430802\/7 = 0.\nAnswer: -33729, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o. Calculate the remainder when a(8) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 2035809 = 1400061 - 1190670. List the prime factors of t.\nAnswer: 2, 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) - 12\/12. Let z be 6\/15 + 17\/(-5). Let n = -4 - z. Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6714 and 36?\nAnswer: 13428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/2 + l**2\/2 + 3*l. What is the units digit of s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 14) to base 6\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 31178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 28*j**2 - 42*j + 5. Let d be b(8). Is 1459 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*i - 45*i - 71*i + 11*i**3 - 82*i.\nAnswer: 11*i**3 + 62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18)*21)\/((-1)\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 41. Let p(s) = -s**3 + 7*s**2 - 2*s + 2. What is the remainder when p(k) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.08 + 0.08. Is s > -0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 1, f: 3}. Give prob of sequence gl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*-340\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -460747*l + 460745*l - 34, -5*j = 3*l + 79 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((128\/624)\/(7\/91))\/((-4)\/42)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 33*u - 7*u - u**2 - u - 21. Let z be w(23). Let c = z - 21. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**5 - 7*r**3 - 6*r - 6. Let q(j) = 6*j**5 + 8*j**3 + 7*j + 7. Let u = -61 - -38. Let x = u - -16. Let v(l) = x*w(l) - 6*q(l). Factor v(o).\nAnswer: -o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**3 - 2*i**2 - 2*i - 13. Let q be 2 - 2\/4*2. Let l(o) = -o**2 - o - 1. Let m(z) = q*s(z) - 2*l(z). What is the first derivative of m(f) wrt f?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107360 divided by 6.\nAnswer: -53680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j - 96 = -248 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 7. Let h be u(4). Suppose -765*b = -583*b. Factor b + 4*z**h - 16\/3*z + 4\/3*z**4 + 0*z**2.\nAnswer: 4*z*(z - 1)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 - 7*z + 8. Let u(v) = -v**2. Let x(f) = -n(f) - 5*u(f). Let k be x(3). Suppose -k*y + 3*h = -347, 7 = -4*h - 13. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.493 (b) 1\/3 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6, -1, -0.07 in ascending order.\nAnswer: -6, -1, -0.4, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 - (2 + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320 - -491. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 225*r**2 - 2*r - 113*r**2 + r**4 - 111*r**2 - 2*r**3 as i*r**2 + c*r**3 + o*r**4 + z + q*r and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10130?\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10512 (base 16) in base 13?\nAnswer: -24561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2611 + 23449\/9. Find the common denominator of 109\/10 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 143*z**3 - 96*z**3 - 13 + 16.\nAnswer: -239*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-2)\/(a\/(((a*a**(-7\/4))\/a)\/a)*a**(-2\/3)) assuming a is positive.\nAnswer: a**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211394 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -531 = -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2776, -3247, 856, 11819, 31928, 63469?\nAnswer: 108728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -700*t - t**3 + t**4 - t**2 + 374*t + 339*t + 4 to the form r + c*t**2 + a*t + k*t**4 + b*t**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 1. Let d be (-170)\/(-8) + s\/(-36). Is 2 a factor of (20\/6)\/(14\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*y - 8251, 12*y - 15*y + 8249 = 5*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let v(q) = -q**3 - 6*q**2 + 5. What is 5*h(w) + v(w)?\nAnswer: -w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*r + 90 = 0, -2*z + 37 + 23 = 3*r. Find the common denominator of (222\/z + 5)\/(-1) and -40\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23770252421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6.4. Let r = u - -0.3. Let h = -2\/25 + -17\/100. Which is the nearest to h? (a) 2\/7 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from hjhhhhhhjhhjjh.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1390 = -0*a - 5*a. What is the common denominator of 42\/(-36)*a\/(-14) and ((-297)\/(-189))\/(1\/2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -4, 2, -6.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27299567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1938 divided by 19?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-360)\/(-54) - 2\/3. Suppose i = -t - 0. Is t\/(-27) - (-23715)\/81 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-408))\/((-2)\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 1, t: 2, x: 1, z: 1}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465080 and 18120?\nAnswer: 1395240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(2\/13 + 7\/546). What is the greatest common factor of l and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = x, 0*v + 5*v + 74*x - 71*x - 73 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 65. Determine d(-28).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*v**5 + 83244*v**4 + 38492025*v**3 - 5133750*v**2 = 0. What is v?\nAnswer: -925, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrerrrrerrrrrrer. What is prob of sequence er?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 15 = 5*i, -3*j + 0*i + i + 17 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 5, e: 3, d: 2, q: 1, j: 1}. What is prob of sequence dqm?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 48 = -7*b. Let m(f) = -678 + 678 + b*f. Give m(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 7*n + 5. Let g(t) be the third derivative of -1\/60*t**5 + 0 + 0*t + 1\/4*t**4 + 19*t**2 - 2\/3*t**3. Calculate 5*g(a) + 4*y(a).\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5061 + -5026. Let v(c) = c + 2. Let f be v(-4). Let i be (-973)\/k - (f - 33\/(-15)). Is i at least as big as -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 6, b: 3, j: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8777280 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41670720 and 8480.\nAnswer: 41670720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(6)*-4) - (5*sqrt(2058) + sqrt(2058)))\/((sqrt(60)\/(sqrt(8)\/sqrt(4)))\/(sqrt(5) + 2*(sqrt(5) + -2*sqrt(5) + sqrt(5)) + sqrt(5))))**2.\nAnswer: 199927\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {c: 4, h: 4, b: 10, p: 1, y: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*w + 14, 3 = -0*j + 3*j - 4*w. Suppose a + z = -2 - 3, a = j*z + 1. What is the tens digit of (a\/(-12))\/(2\/90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86844.9019 - 86830. Let u = 13.996 - i. Let h = 0.9 + u. Round h to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1443414993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042759 greater than -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 1\/4 (b) 0.02 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -6, 1852.\nAnswer: -64, -6, 1852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*28\/(-42). Let z be 2 + (2 - ((-54)\/(-15) + 0)). Sort l, 2\/9, z, -1 in ascending order.\nAnswer: -1, 2\/9, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 33 - r**2 - 6*r**2 - 2*r - 16 to the form o + z*r + x*r**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = z - 6, 0 = 25*g - 20*g + 7*z - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*m - 3*m + 72, -52 = -3*u - 5*m. Suppose g + 15 = 4*i, -u - 11 = -3*g - 2*i. Let b(z) = z**3 - 5*z**2 - z - 1. Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19079930.2 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 30140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-7\/4)*m**(-1\/3)\/m**(-1\/5))\/((m**(-1\/2)*m**(2\/9)\/m)\/(m**(-4)\/m**3)) assuming m is positive.\nAnswer: m**(-232\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, -15, 5573 in decreasing order.\nAnswer: 5573, -15, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 4*a**2 + 3*a + 11. Let j be w(-9). Let l = 542 + j. Round l to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 5)*(-2*x**2 - x**2 + 0*x**2) + (2 - x - 2)*(0*x - 9*x + 2*x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - -55.84. Let s = -32 + n. Let m = 24.4 - s. Which is the third smallest value? (a) 3 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 2*b - 4*v + v, -v = -3*b - 139. Let s = 50 + b. Solve 3*r + 2*n = 4, r = s*r - n - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 49, 59, 57, 43, 17, -21?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -3) + -9 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/11 + (-32)\/(-176)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 58*p**2 + 56*p + 32. Calculate d(28).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 73 (b) 1\/3 (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 + -220. Calculate the lowest common multiple of 12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, -181, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1*(-4)\/(-1886). Let p = -11220 - -11219. Are c and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 596*t - 416. Give r(120).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.035 - 0.015. Let q = m + -99.062. Let x = q + 37. Round x to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 737754348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/15))\/h)\/(h\/(((h*h\/((h*h\/(h**(1\/4)*h)*h)\/h))\/h*h)\/h))*h*h**0\/h*h\/(h*h*h\/(h\/((h*h*h**(-6))\/h))*h) assuming h is positive.\nAnswer: h**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3841*x - 107716 = -3853*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8953*-1132\nAnswer: -10134796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + m - 97, 0 = 5*f - m - 39 - 71. Calculate the lowest common multiple of f and 11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 845 - 815. Solve -w + 10 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from xfxfxmxmxmxxmxxx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/94)\/(3\/(-6))*-16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1024 - 1025) + (-9 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Suppose -5*d - 38 - 37 = y*q, d = 5*q - 15. Let c = -10 - d. What is the remainder when 14 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2. Let u(x) = -2*x + 41. Give y(u(t)).\nAnswer: 28*t**2 - 1148*t + 11767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.745 - 0.745. Let c = -22 - -14. Let t = d + c. What is the biggest value in 0.4, -3, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 2*k**2)*(2 - 1 + 3) - 3*k**2 + 4*k**2 - 2*k**2 + (k - 2*k + 0*k)*(1 - 2*k - 1) + 3*k**2 - 4*k**2 + 2*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 23.1. Let i = l - -22. Let j = 102\/259 - 4\/37. Which is the closest to j? (a) i (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94211.78 minutes in microseconds?\nAnswer: 5652706800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 10. Let d be c(0). Solve 5*u + d = -2*x, 0 = -5*u - 0*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*l*s**3 - l*s + 31*s**3 - 159*s**2 + 2*s - 3 wrt s.\nAnswer: -258*l + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/144 and -79\/5184?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 364057.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/105 + l**5\/12 - l**2. Find the third derivative of m(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*l - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j - 9. Let d(m) = m**2 - 6*m + 3. Let u be d(5). What is the remainder when (52\/8)\/(u\/(-4)) is divided by n(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1 - 1 + 0 + 3*t. Let k(q) = -3*q + 241 + 2*q - 255. What is k(h(s))?\nAnswer: -3*s - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1288 divided by 644.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3219\/2 - 1651. Let w = -2172\/8855 + 76\/115. What is the common denominator of w and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 - 109*q**3 - 3*q + 46*q**3 - 22 + 65*q**3 to the form p*q + u*q**3 + h + w*q**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-130)*(6\/2)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17 - 5 = 0. Suppose 0 = -3*a + p + 3. Solve -3*r = -h - a*h + 6, r + 11 = -2*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 19. Suppose 6 = 2*x, -5*w + 4*w = z*x - 13. Solve 16 = -w*s + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/20 - 5*m**4\/4 + 25*m**3\/2 - 13*m**2. Determine i, given that f(i) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {y: 1, q: 12, e: 3}?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**25)**(-12)*(l*l\/l**(-5)*l*l\/l**(-7))\/(((l\/(l*l**(2\/5)))\/l)\/l)**(4\/21) assuming l is positive.\nAnswer: l**(4776\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43 + 3 - (36 - 26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*f**4 + 218*f**2 - 6*f**4 - 199*f**2 wrt f.\nAnswer: -384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15091 is divided by 387.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s = -12. What is the second derivative of -2*i**5 + 31*i**4 - 31*i**4 + s*i wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/((-28)\/560*-40)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (2 + (2 - 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18491 + 18507. Which is the closest to -4\/5? (a) -0.3 (b) -5 (c) -1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = 0. Solve 3*x + 3*q = 0, -3*x - x - 3*q = j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*f - 6, 5*t = -3*f - 7 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 19*l - 178. Calculate the greatest common factor of l and 8534.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.3. Let j = -2.2 + o. Let d = 3.5 - -0.5. Which is the third biggest value? (a) d (b) j (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 23 - 85 = -5*m, 0 = -3*a - m + 88. Solve a*n - 60 = 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**4 - 7095648*b**3 + 4195670853672*b**2 + 16782768562560*b + 16782796945200 = 0.\nAnswer: -2, 1182610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18321706.\nAnswer: 2, 13, 704681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 3. Let h(u) be the second derivative of -u**3\/6 + 2*u**2 + 738*u. Is 3 a factor of h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285743901 is divided by 3057.\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31220 is divided by 920?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -4. What is the smallest common multiple of 3 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -41, -61, -81, -101?\n\"Answer: -20*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4837 to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11 + 2*h**2 + 10 - h + 59*h**3 + h**2. Does 10 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1 + -1 - (2397 + -2418)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401.06 - 396. Let x = -0.06 + m. Is 1\/3 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.025 + -0.0111. Round l to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - 2*f**3 + (-4 - 3*f + 4)*(-8 + 8 - 6*f)*(3*f - 2*f + 0*f).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (-2*(sqrt(2299) - (0 + sqrt(2299) + -2 - sqrt(2299))))**2).\nAnswer: -27624 - 528*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27763679\/7 or -3966240?\nAnswer: -3966240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207688?\nAnswer: 2, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 8160 - 8160 + 918*x**2 to w*x**2 + v*x + t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 3211 and 3323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -506024 by -8.\nAnswer: 63253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)\/(4\/1872). Let h = v - -936. Solve h = 10*o - 9 + 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - 114\/(-42). Suppose d = 3*y + 2*h - 17, 3*h - 12 = 0. Suppose n - y = -n. Sort n, 5, 1 in ascending order.\nAnswer: 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s**2 + 0*s**2 - 4*s**2. Let w(f) = -1781*f + 650. Let r(h) = 22*h - 8. Let b(o) = -325*r(o) - 4*w(o). Determine k(b(q)).\nAnswer: -2704*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3840, -2560, -418, 2586, 6452, 11180?\n\"Answer: 431*n**2 - 13*n - 4258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 11*g**2 + 24.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1871, 3723, 5559, 7373, 9159, 10911, 12623?\n\"Answer: -n**3 - 2*n**2 + 1865*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 17953?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 11*s = -44. Suppose 5*z - 12 = -d + 3, s*z - 8 = 0. List the prime factors of (-25)\/(-6)*30\/d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -304*y + 618. What is the units digit of f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 10 - -2) + 2 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 919\/(1*(-1)\/(-33)). Let r = l + -273770\/9. Let n = r + 892\/9. Find the common denominator of n and 113\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 9:55 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-408*m**2 - 1749 + 5187 - 1726 - 1739)*(-m - 3 + 3 + 5) to the form r*m**2 + p*m + n*m**3 + c and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 5*t**3 - 9*t + 9*t - t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -188*o + 343. What are the prime factors of x(-5)?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 373\/1914 - 9\/319. Let b(j) be the second derivative of 0 - j**2 - d*j**3 + 17*j. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866 less than 15.069468?\nAnswer: -2850.930532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/5 (b) -1631\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 148954.2, 96 in decreasing order.\nAnswer: 148954.2, 96, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:20 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 4) in base 10?\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.3 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.3 + -30. Let s = h + -16. Let t = s + 34.69722. What is t rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 33383196?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaahazaaxaaxlaaaaahq. What is prob of picking 1 q and 1 x?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172.78 + 169. What is g rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44352\/(-219240) + (-2)\/(-15)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -35, -61, -85, -107?\n\"Answer: g**2 - 31*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 141. Solve -3\/4*h**v + 1\/2*h**3 + 0*h + 1\/4 = 0 for h.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39900212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 4. Let p be c(7). Suppose g - i = -2*i + 23, p*i + 31 = 2*g. Calculate the remainder when 77 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 526\/(-52) - ((-99)\/(-45))\/11*-35 and (-5)\/6*(-127)\/20?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 7*v + 5. Put v, 11, 0 in ascending order.\nAnswer: 0, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -322*c - 1399. Give l(-5).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(5\/(-3)) - -4. Sort -3, o, 4, 5.\nAnswer: -3, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5370592277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -7. Suppose -71 = 4*b + 3*f, 2*f = 5 + h. Which is smaller: -21 or b?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + u + 487, 5*u - 22 = -v + 91. Let l be 1204\/v + (-4)\/14. Is (246\/l)\/(3\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:47 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -174, -660, -1524, -2814, -4578, -6864?\n\"Answer: -8*u**3 - 141*u**2 - 7*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11341 is divided by 3780.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24912524007 + -4276.\nAnswer: -24912528283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 13693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/24 and -87\/10636.\nAnswer: 63816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -540.1 - -501. Let s = n - -36. Let d = s + 2.7. What is the nearest to -0.2 in -3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c*c\/c**11)*c)**(-3\/7)*((c\/(c\/(c**(-6)*c*c)))\/c)**(2\/31) assuming c is positive.\nAnswer: c**(-1279\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 35*f - 545. Determine o(12).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6748433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 23. What is the remainder when 34 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 4*i + 28. Let h be b(15). Suppose 0 = -22*t - 186 + h. Suppose -2*c + 17 = 1. What is the greatest common factor of c and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5 - 15. Let z = -1 + 17. Let u = z - 12. Calculate the lowest common multiple of u and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 12*o - 11 + 11 to p + q*o and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 1565496 = 3*x + 112*x. What are the prime factors of x?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 - 931*o**2 + 7647*o wrt o?\nAnswer: -24*o**2 - 1862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 1. Let w be o(-1). Solve -5*s = -3*r + 16, -5*r = w*s - 1 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 4. Solve -o*y + 20 = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 less than 259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(4 + 1 - 4)*(5 - 2 - 2)*(17*h - 6*h + 8*h).\nAnswer: -57*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 14*p**3 - 2*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 3}. What is prob of sequence mfff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -156. Suppose -5*q - 9 = -i. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a0788 (base 15) to base 2.\nAnswer: 1101100001100101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:12 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j**3*t - 2*j**3 + 6*j**2 + 3*j*t**3 - 3334*j*t + 59 wrt t?\nAnswer: 5*j**3 + 9*j*t**2 - 3334*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45078 + -871651.\nAnswer: -916729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 91 = 136 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1468 divide 285136980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -52 + 22 + 3*g + 18 + 13. Let j(q) = 2*q**2. What is j(b(a))?\nAnswer: 18*a**2 + 12*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 14*g + 37. Let h be f(16). Let p be (h\/(-10))\/((-1)\/6). Suppose -9*z - 30 = -p. Let w(k) = -k**3 - 3*k**2 + 3*k + 1. Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 21 = 24*u + 3*y + 3, 3*u + y + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 338*s - 165 = 340*s, 138 = 4*b - s. Suppose 3*d - 33 = -3*x, 5*x - d - 79 = 2*d. Calculate the remainder when b 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 204404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + f - 6 = 4, -3 = -2*k + 3*f. Let z be (-48)\/(-7) + 14\/98. Suppose k*b + 32 = z*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23754, 3865, 5?\nAnswer: 3865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/27)\/j))\/j**(-2\/83) assuming j is positive.\nAnswer: j**(4370\/2241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -43233509370 to the nearest 1000000.\nAnswer: -43234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(11)*-4*-1 + (sqrt(99) + sqrt(11))*-2 + (sqrt(55) - (sqrt(55) + sqrt(55)*-1 + sqrt(55)))\/sqrt(5))**2.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 12 = 2*z. Solve z = 3*s + s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3183.7491 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2169*c + 20. Let m be v(0). Sort m, 122, 2 in ascending order.\nAnswer: 2, m, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17977 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 14 + -9 + (-4 - -16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*-4)\/sqrt(8) + 5*sqrt(980).\nAnswer: 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*l + 827*l - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 13*o**4\/6 + o**3\/2 - 28*o**2. What is the hundreds digit of h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7374, 28610, 64002, 113550, 177254, 255114, 347130?\nAnswer: 453302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 l when four letters picked without replacement from lelel.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-36)*(j**(-1\/17)\/j)\/(j*j*j**3\/j)*(j**0)**27*((j*j**1*j)\/j)**(-50) assuming j is positive.\nAnswer: j**(-1174\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m + 9*m - 21*m**2 - 4*m - 2 - 9*m + 8*m as f + q*m**2 + l*m and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-2)\/9)\/((-2)\/9)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*z + 19*z - 20*z - 15*z to p + k*z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-1)\/(-1))\/(-1). Let b(m) = -537*m - 556*m + 1138*m. Let a be b(h). Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 6299\/28630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 18. Suppose 3 - 11 = -a*p. Factor -3*b + 3*b**p + 3 - 2 - 2*b**3 + 0*b + b**3.\nAnswer: -(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/6, -2, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 59\/5, 5, 0.2, -22 in ascending order.\nAnswer: -22, 0.2, 5, 59\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**5 + 398*j**4 - 118*j**3 - 926*j**2 + 124*j + 528 = 0. Calculate j.\nAnswer: -1, 1, 4\/3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 33*c - 18 + 13 to f + u*c and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1670*i + 3362*i - 9 - 1681*i.\nAnswer: 11*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 35*n**4 - 29*n**4 + 21*n**4 + (-n**3 + 1 - 1)*(-n + 2*n - 2*n) + 2*n**4 - n**4 - 3*n**4.\nAnswer: -44*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:03 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - -14) + -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (15400003*-1 - -1). Suppose -4*l - 12 = 0, 4*z - 5*l - 21 = 2*z. Suppose -z*y + y - s = 0. What is y rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7244, 14480, 21712, 28940?\n\"Answer: -2*i**2 + 7242*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let i(v) be the third derivative of 0*v**3 + 18*v**2 + 11\/24*v**4 + 0 + 0*v. Give k(i(u)).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 175011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1582 - -1600. What is the smallest common multiple of 42 and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17358329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 184*p + 4214 = 0. What is p?\nAnswer: -49, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-8 + 6 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -263 + 3?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*g + 29, -m = g - 0*g - 1. Suppose -m*w = 20, -4*k + 19 = -5*w - 58. Let b be 4\/16 + k\/(-4). Is b at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3*b - 17. Let v be i(12). Calculate the common denominator of -5\/9 and v\/18 - 1\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttftfftffftttffffttt. Give prob of picking 4 f.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/120 - p**5\/60 - p**4\/24 + 2*p**2. What is r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 2*c - 14*c + 4*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 108. Suppose -2*x = z - 14, x + 3*z + 5 - 12 = 0. Let s be (-120)\/21 - 2\/x. Put -5, d, s in descending order.\nAnswer: d, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1392, -6365, -14696, -26397, -41480, -59957?\nAnswer: -81840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 889258712 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 644 and -7185.3.\nAnswer: -6541.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152\/1115 - 2\/669. Which is smaller: 0.4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -47877249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -102. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**2 + 15*c - 3. Let a(k) = -31*k**2 + 70*k - 16. Let r(y) = -2*a(y) + 11*d(y). Give r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -25 + 17 + 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -3)\/((-1)\/24). Let l = -3 + 19. Calculate the highest common divisor of m and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61334\/17 + 3608. Which is the biggest value? (a) 46 (b) 0.04 (c) 0 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*o + 4*o - 148, -3*s + 4*o = -111. Suppose 3*h = h + 40. What is the remainder when s is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/120 + h**5\/20 - h**4\/24 - 3*h**3\/2 + 348*h**2 + h. Determine b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/12 and 87\/1612?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12589447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34088489 to the nearest integer?\nAnswer: 5839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 2)\/(12\/18). Put 3, 2, w in decreasing order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.2. Let v = 8.4 - 20.4. Let m = v - -10. What is the smallest value in 0.2, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 5*m - 1. Let q(j) = -8*j**2 + 3*j - 15. Let c(n) = -q(n) - 6*r(n). What is c(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 62*f - 156. Suppose 3*h - 2*w - 3*w = 6, 0 = 2*w. Suppose -h*v = 8 - 66. Calculate the lowest common multiple of f and v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-2)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7655 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 16 = -3*g, -33*q + 29*q + 3*g - 29 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 - m. Let t(h) = h**3 - 3*h**2 + 1. Let d be t(3). Calculate g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 + 625*c**3 = 0. Calculate c.\nAnswer: -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 0*z**2 - z**3 - 6*z - 628 + 628 to f + t*z**3 + a*z**2 + q*z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.49, -0.02, 3\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - -2) + 3)\/1. Let z = o + -2. Which is the second biggest value? (a) -5 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.1 (c) 2\/13 (d) 3\/7 (e) 190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1663, 2 in descending order.\nAnswer: 5, 2, -1663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/5 + 34178*o**3 + 854416*o**2\/5 + 1367048*o\/5 + 136704 = 0. What is o?\nAnswer: -85440, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77\/29 - 1037\/232. Calculate the common denominator of b and 7\/21 + 323\/30.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slslssssssldsssll. What is prob of sequence lss?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*o + 9*o = 9, 5*f + 6*o = 102. Let s(b) = 321*b + 6. Let x be s(2). What is the greatest common factor of x and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1346578.599 minus 0.5231?\nAnswer: -1346579.1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-11))\/y*y\/(y*y*y*y**(-16\/7))*y**12\/((y*y**(-2\/57))\/y) assuming y is positive.\nAnswer: y**(527\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 9\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 200 = 23*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 12*k + 9. Let z be l(-6). Suppose -5*r - 2*p - z + 154 = 0, 2*r - 42 = -4*p. Calculate the greatest common factor of 279 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 236502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 + -2 + -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) - (-4 + (1 + sqrt(567))**2) - (sqrt(567) - (sqrt(567) - -3*sqrt(567))**2)*-2.\nAnswer: -18708 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4053952 less than 5678.091?\nAnswer: -4048273.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 95 = -458. Which is greater: l or -80?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/5)*p**(7\/2))\/(p\/(p*(p\/(p**(2\/3)\/p))\/p))**(1\/33))**29 assuming p is positive.\nAnswer: p**(77807\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {v: 2, t: 6, u: 1, a: 1, w: 1, p: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6878386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4434931185094 less than 3.8?\nAnswer: 5.2434931185094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 31*w**2 - 39*w - 253. Determine u(-30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.09, -0.2, -3\/4 in decreasing order.\nAnswer: 1.09, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/6*36\/429?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)\/((z**(-3\/14)*z)\/z))\/(z**(1\/7)\/z**(-11)))**6 assuming z is positive.\nAnswer: z**(-879\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.069 - -7.069. What is the biggest value in 5, -16\/29, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + 120. Let i(q) = -18*q**2 + g - 172. Let f(z) = z**2 + 5. Let l(d) = -d**2 - 3. Let s(j) = -3*f(j) - 5*l(j). Calculate s(i(c)).\nAnswer: 648*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*f + 44 + 285, -r = -5*f + 559. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4760 and 126.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let o(q) be the second derivative of -4*q - 5\/6*q**m - 3\/2*q**2 + 0. Give o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -26322?\nAnswer: 184254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -787 - -786.7. What is the fourth biggest value in -7, 2\/11, z, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 10*j**2 + 73*j - 106. Calculate g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185858 is divided by 1048?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 10. Let q = -7 + 0. Let r be w(q). Solve r*o = 16, 2*v + 10 = 2*o - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.905 + 0.095. Let t = -68.5 + m. Sort 1, t, -0.4 in descending order.\nAnswer: 1, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 88870.\nAnswer: 266610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1305329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497872958?\nAnswer: 2, 11, 31, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1355 + -52. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)\/g*g**(-2\/35)*g*g assuming g is positive.\nAnswer: g**(-527\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 4*m + 1. Let c be x(-5). Let u(n) = n. Let z be u(0). Let q = z + 0. Put 2, q, c in ascending order.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-447)\/(55\/(-10) + 4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*c - 26, 2*c - 7 = -3*w - 1. Suppose m + m = w, 2*h + 3*m + 1599994 = 0. Round h to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/(1489\/(-397563))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275621.\nAnswer: 3, 7, 67867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -623\/67 or -391?\nAnswer: -623\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:52 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -11. Let c be -1 + (-1 - (-3 + 0)). Put -5, m, c in ascending order.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1992, 0.072, 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, r: 1, m: 12}. What is prob of sequence mr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 1. Let i be l(-6). Suppose 13 = 3*n - i. Suppose -3*t + 5*m + n = -19, 0 = 5*t - 3*m - 75. Calculate the least common multiple of t and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 34\/13 (b) 2\/23 (c) 5 (d) -1 (e) 2.1 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2311 = 2*i - f, i - 223 = -5*f + 949. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + p)*(29*p**3 - 40*p**3 - 62*p**3).\nAnswer: -146*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {p: 1, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62947430.\nAnswer: 2, 5, 7, 13, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**3 - 2*w + 1\/10*w**5 - 1\/12*w**4 + 0*w**2 + 0 - 1\/30*w**6. Solve k(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {g: 2, b: 4, c: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(-5*3\/33750). Round o to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -66 + 31 - 308*u + 10 + 25. Let p(w) = -2*w**2. Determine p(d(q)).\nAnswer: -189728*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*g - 0*g + 4, -6 = -4*f + g. Suppose -269 - 191 = -f*v. Suppose z = -z + v. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (1 - (22 + -10) - (-4 + -12)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275500\/(-214890)*(-18)\/(-5)?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 12 + (-6175)\/(-19). What is the greatest common factor of 1064 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 5*x**2 + 2*x + 9. Let b be s(4). What is the closest to 0.2 in b, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1663.526 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291139580 by -122.\nAnswer: 2386390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 78*g - 6. Let s be k(6). Let c be (132\/7)\/((-15)\/(-126) - 8\/(-48)). What is the highest common factor of s and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -492*v + 15744. Calculate z(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:38 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 28 = -4*i, -8*i + 3*i + 21 = -4*t + 6*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -4. Let c = 11 + b. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 13. Let n(a) = -a - 6. Let u(x) = -4*j(x) - 9*n(x). Suppose -5*d = -3*d. Let c be 1\/2*d + 2. Calculate u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 35. Let g = 6 - k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350.6679607 - -0.0250393. Let q = s - 351. Round q to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1737, 6880, 15453, 27456?\n\"Answer: 1715*h**2 - 2*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 9*h - 11*h + 6, 23 = 5*h - 2*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(2\/105)\/(m*m*m*m**(-1)\/m*m*m)**(1\/7) assuming m is positive.\nAnswer: m**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12*d + 62. What is i(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15001 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -80023 (base 9) to base 14\nAnswer: -151c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27030812?\nAnswer: 2, 151, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5428*v - 3*p - 3 = 5430*v, -3*p - 39 = -10*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 + 16*f + 2. Let x be y(8). Suppose -9*s - x*v = -8*s + 10, -3*v - 15 = s. Which is bigger: s or 13\/9?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 0 + -1)\/(-1). Let o be 16\/(-20) - 2\/t. Let n = -532 - -531. What is the nearest to n in -5, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815055 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1044.0443 + 1044. Let b = -57124.2543 + 57129. Let t = c - b. What is t rounded to 1 dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-3) - 0) + 2. Let s = 10941 - 10897.784. Let h = 0.784 + s. Is u at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 131712084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4845*j**3 - j**2 - 193?\nAnswer: -14535*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) - (-239)\/2. Suppose 0 = 317*o - 289*o - 560. Let y be (c\/(-75))\/((-2)\/o). What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2747 + -732. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/3 - i**2\/2 - i. Let o be s(-3). Suppose 89 + 176 = o*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 16244790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7068*z + d + 6 = 7064*z, 0 = -3*z + d + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - w)*((0 + 3 - 2)*(2*w + w - 2*w) - 15*w - w + 2*w).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20\/69 + 440\/69. Let d(n) = -4*n**2 + 1. Let j be d(-2). Find the common denominator of c and ((-21)\/j)\/((-2)\/(-65)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200\/9*f + 8\/9 + 50*f**2 = 0. What is f?\nAnswer: -2\/5, -2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*b - 32 = 0, 3*h + 0*b - 2 = 4*b. Is (3402\/5)\/6 - h\/(-10) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.4, -43, 4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902\/8*(-7080)\/(-9735).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 17*p - 35. Let s be z(19). Let n be 14\/4 + (-1)\/(-2). Find the third derivative of 4*q**n - q**4 - s*q**4 + 2*q**6 - 9*q**2 wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 3485 = -23*i - h, 3*i - h - 2083 = 0. Let g = i + 997. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 100817446*m**3 + 3 - 100822544*m**3.\nAnswer: -5098*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2106, -4246, -6386, -8526?\nAnswer: -10666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -10*d + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*j - 0*j + 12, 5*j = 3*f + 39. Let v = -35 - -51. Calculate the remainder when v is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10, 3, 7, -3, 13 in increasing order.\nAnswer: -6, -3, 3, 7, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 547*s + 481*s - 1023*s + 29 - 49.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3962*q - 19. Is s(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92006978 - -0.01997\nAnswer: 92006978.01997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/45)*c*c\/c**(-3\/16) assuming c is positive.\nAnswer: c**(1543\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9855.566 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10141303021 (base 5) to base 13\nAnswer: 2235763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164 or -1301\/8?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12224 + 13280. Calculate the greatest common divisor of 3300 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q + 211 = 98*q + 12*h, -3*q = -9*h + 165 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 24*s**2 - 3043*s + 3044. What is n(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1636 and 2026940.\nAnswer: 829018460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 5. Let u(t) = 3*t**2 + 2*t - 2. Let z be u(2). Suppose -277*l = -513*l + 1180. Let y = l - z. Calculate n(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + -2)\/(-3) - (9 - 14). Suppose -n - 4*n + 20 = 0. What is the highest common divisor of n and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18525057 and 1197.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 417*w + 3. Let z be g(1). Let p(l) = 60*l**2. Let d be p(-1). What is the highest common factor of z and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1016 - -4?\nAnswer: 101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -7) + -1 + 0. Sort l, 4, -3 in descending order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/7 - -73\/35. Let v(m) be the first derivative of 1\/10*m**4 + 0*m + 2 + o*m**2 + 8\/15*m**3. Let v(s) = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -731. What are the prime factors of c?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -2 (c) 14 (d) 140\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.15 - 13.15. Which is the nearest to 1\/3? (a) 2\/11 (b) v (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3183, 3225, 3265, 3303, 3339, 3373, 3405?\n\"Answer: -m**2 + 45*m + 3139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9725865 divided by -8.\nAnswer: -9725865\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6956337*d**2. Let s(u) = 10*u**2. Determine s(f(k)).\nAnswer: 483906244575690*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6006.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/15 - 1\/(-3). Suppose -2*n + 43 = 31. Let u be ((-6)\/(-4))\/(n\/(-16)). What is the second smallest value in u, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + w + 21 = 0, -u + 11 = 4*w - 0. Let f be u\/((-15)\/6) - -1. Suppose 3*g - 6 = f. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snss when four letters picked without replacement from {s: 6, n: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3209*n + 48217?\nAnswer: 3209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6367*n**2 - 2*n*z**2 - 94*z**2 + 14*z + 1 wrt n?\nAnswer: 12734*n - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 299 - 1984. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.4. Let z be (-3)\/(-4) + 4\/(6 - -10). Which is the closest to z? (a) -4 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w - 25. Give k(9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(4 + (2 + -5*(sqrt(2448) + sqrt(2448) + sqrt(2448)*2 + -5))*-6))**2.\nAnswer: -11347200*sqrt(17) + 881900944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100111001 (base 2) to base 16\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983, -356, 1889, 5752?\nAnswer: 11233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 10:44 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:07 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15152*l**2 - 460. Let j(o) = -3*o**2. Give s(j(m)).\nAnswer: -136368*m**4 - 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 20*u + 101. Let s be v(-4). Suppose 5*q + 1 = s*j - 29, 5*j - 12 = -4*q. Sort 7, q, -6 in decreasing order.\nAnswer: 7, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from cakabckcacccvva.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.914\nAnswer: 3.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3932 divide 2101481747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - v + 41, 2*d - 41 + 7 = -2*v. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.188 - -1.652. Let r = -0.16 - j. What is the third smallest value in 0, 1\/2, -1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2199790370 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 592294, 591864, 591434, 591004, 590574, 590144?\n\"Answer: -430*k + 592724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 + 7484*r - 8041*r + 588 wrt r.\nAnswer: -557","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -5. Let i = -6 - v. Is (-1 - i)*290\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00344884544 to 4 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(18\/126)*125\/(-175)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/299?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -15. What is the nearest to b in 2, -1, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j**3\/3 - j**2\/2 - 2*j - 1. Is 8 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3879458.\nAnswer: 2, 11, 19, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2980.4841 months?\nAnswer: 24.8373675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 8*t**2 + 6*t - 5. Calculate q(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 43*m**3 - 254*m**2 - 3*m + 24. List the prime factors of b(14).\nAnswer: 2, 3, 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94*(-60)\/168 - -34?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -64 + 71 - (-9 - 6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - i + 2. Let r(c) = -5*c**2 + 2*c - 1. Let s(q) = 6*b(q) + 5*r(q). What is the units digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -9\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/7 - 50*t**3\/7 + 226*t**2\/7 + 50*t\/7 - 228\/7 = 0.\nAnswer: -1, 1, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 75*u + 667. Let k be m(23). Which is the closest to -73? (a) 3\/7 (b) -2 (c) k (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, q: 1, m: 1, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from uuunndnu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 11*c**2 + 13*c - 2. Let o be r(10). Suppose 0 = l + 2, 0*l = -5*a + 4*l + o. Let p = 1 - 5\/4. Put p, -4, a in increasing order.\nAnswer: -4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from qzxddxddxxdzd?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 <= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 21. What is the closest to 0 in -0.3, 2\/15, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 29*z**2 + 3*z - 24. Is b(9) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 m when three letters picked without replacement from {m: 3, p: 2, v: 2, i: 1, t: 2, q: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 163 in descending order.\nAnswer: 163, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10) + -2)\/((-1008)\/(-90) + -14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) 44 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1269 + -1249. Solve -44*y = -u - 156 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4316983 is divided by 2158259?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24630*d**2 - d + 24629*d**2 + 13*d**3 - 3*d + 25 + 2*d as o*d**3 + l*d + a*d**2 + q and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-96)\/(-320)*(6\/(-4))\/(-3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 - 9*h - 2. Suppose -s + 24 = s. What is the lowest common multiple of k(-4) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(-6))\/21*2\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1216) + -2 + sqrt(1216)*-3*1.\nAnswer: -16*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 55303962 - 55303962. Let p(j) = -12*j - 1. Calculate p(b(f)).\nAnswer: 48*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 6*n - 19. Let t be z(-3). Let v be (t\/(-2))\/(3 + 111\/(-36)). What is the highest common divisor of 153 and v?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -55*f + 1012. Let m be x(17). Calculate the greatest common factor of m and 1463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.933+-119\nAnswer: -119.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:10 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -t + 5, 2*t = 3*t - 5*c - 14. Factor -18*y - 5 + 0 + 1 - 24*y**2 - t*y**3 - y**3.\nAnswer: -2*(y + 1)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0 + 1 + 3*r**2 - 2*r - 4*r**2 + 1. Let a(k) = -2*k**2 - 3*k + 3. Let b = -2 + -1. Calculate b*a(p) + 4*g(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -413 - -412. Sort -5, -608, y in ascending order.\nAnswer: -608, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7493 and 218.\nAnswer: -163.3474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.2. Let l = 6 + -5.5. Put 3\/4, l, c in descending order.\nAnswer: 3\/4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 9*m + 2. Let d be g(-9). Suppose 20002 - 1602 = -d*x. Round x to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101725.\nAnswer: 5, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1942073 and 14981706.\nAnswer: 104871942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 13*u - 30. Let i be ((-21)\/4)\/((15\/4)\/u). Let x(s) = -s**3 - 16*s**2 + 41*s - 5. Is x(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-124)\/310 - 3097\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - n**2)*(-3*n + 5*n + 0*n) - 3*n**3 - 3*n**3 - n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962404962.\nAnswer: 2, 3, 23, 29, 101, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-331290)\/58320 + (-66)\/(-16)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1381952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11443950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2145, -4274, -6403, -8532, -10661?\nAnswer: -12790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2628 and 876.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14494, 14847, 15200, 15553, 15906?\nAnswer: 16259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/2703 and 36\/25646329.\nAnswer: 1307962779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.349939 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 139*t**2 + 656*t + 1869. Calculate c(134).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-337)\/(22\/(-130) - (1 - 165\/143)). Calculate the highest common divisor of 65 and j.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*z = 525*z + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1513 + 5036043362*k**3 - 5036043359*k**3 - 1513.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*r**3 - 22*r**3 + 38*r**3 - 19*r**3 + 21*r**3 + 42*r**3.\nAnswer: -107*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 397 (c) 0.6 (d) -1 (e) -2\/5 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 1. Let h(j) = 1. Let l(o) = -2*h(o) - 2*u(o). Let t(q) = -6*q**2 - 4*q**2 + 8*q**2. Calculate l(t(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1111100001111000101110 (base 2) to base 12\nAnswer: 1443a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 194*x**2 + 194*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/4)\/((-1)\/1*128\/256)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(2) + (sqrt(15)*-1)\/sqrt(5) + sqrt(21)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -8820775 and -8820766 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c + 2. Let k be y(3). Let z = k - -176. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 10*f + 11. Let h(d) = -7*d**2 - 18*d - 21. Determine -3*h(r) - 5*t(r).\nAnswer: r**2 + 4*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 26978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5 - 11 - 11*p**3 - 14*p**3 + 2*p**2 + 1 + 26*p**3 - 11*p. Calculate q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 831\/4 + -209. Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 s, and 1 c when four letters picked without replacement from {u: 7, c: 2, s: 2, g: 8}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -17. Find the second derivative of 6*m - 79*m**r + 2 + 63*m**2 + 0 wrt m.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.053, -146.2, 1\/6, -4, -1\/3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -d?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttsssssstss?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14972371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*3\/9*3. Suppose -j*l = l - 112. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 15, b = -4*b - 2*y + 14. Suppose 4*q = 5*j + 95, -b*j - 10 = -5*q + 102. What is the lowest common multiple of q and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*b**2 - 50*b**2 + 83 - 51 to f*b + s + u*b**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47191 (base 14) to base 8\nAnswer: -522213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.262 less than 2.78513?\nAnswer: -4.47687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -928*t**3 + 200635*t**2 - 69567767*t wrt t.\nAnswer: -5568*t + 401270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o - 2*h, -o + 3*h + 48 = 2*o. Let a = o + 4. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 11983 + 11959 - 36656 + 12714 + 37*g - 37*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-930)\/(-3720)*(-4 + 17\/4)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65013243 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfrrfrfrrr. What is prob of sequence rrff?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 285104 divided by -142552?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = 4*x. Let o be 18\/x + (0 - -1). Let l be -2 + 0 + 9 + -3. What is the biggest value in l, -2\/3, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 722*t + 4334. Let w be g(-6). Let y(q) = 9*q**2 + q - 1. What is y(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 0.5, -9, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 30*y - 31. Calculate g(-7).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 513*p - 659156 + 659156 as d*p + f and give d.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924871 is divided by 1117?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*i + 29, 5*i = -5*t + 7*i + 73. Suppose t*k - 4*k - 45 = 0. Solve -f - n = 6 - 3, -4*f - 13 = k*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - y**2 + 3*y + 2. What are the prime factors of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6161, -12412, -18747, -25160, -31645, -38196, -44807, -51472?\n\"Answer: f**3 - 48*f**2 - 6114*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/2 - 375468*c**2 - 46998830703*c\/2 - 422867833443 = 0. What is c?\nAnswer: -125147, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2652 + 85.2452. Let c = -84.952 + -0.048. Let g = b + c. Put 1, g, 2\/15 in descending order.\nAnswer: 1, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, -2\/9, -2\/11, 18\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -58. Solve 5 = 6*k - w*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447278, -1789076, -4025436, -7156388, -11181962?\nAnswer: -16102188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + sqrt(198)*-3)*2 - sqrt(198))\/(2*sqrt(33)\/sqrt(3)).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-80)\/180.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o**2 + 8*o - 9. Let m = -7 - -11. Suppose -2*a - c = -7, -3*a + 26 = a - 2*c. Suppose m*s + 5*k = 53, -7 = -s - k + a. What is n(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1671 (base 9) to base 7\nAnswer: -3505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 851 and 3811?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1611 = 4*f + 1603. Let g be f\/6 - 14\/15. What is the second biggest value in 1\/13, g, 2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + t = -t - 430, -b = -3*t - 141. Calculate the greatest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -1\/60*y**4 + 0 - y - 1\/30*y**3 + 1\/50*y**5 + 0*y**2. Suppose p(x) = 0. What is x?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*x**4 - 4*x**4 + 7*x**4 - 4 wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 4*p**2 - p - 1. Let i = -311 - -400. Let v = i + -93. Calculate z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0 + 3*k - 3\/2*k**2 + 1\/6*k**3. What is the first derivative of o(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 4*b**2 + 14*b + 33. What is the remainder when j(-6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21176976*-0.3.\nAnswer: 6353092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36556?\nAnswer: 2, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (25 - 20) - (2 - 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149634370 rounded to the nearest one million?\nAnswer: 4150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 57*d**2 + 604*d + 665. Let t be v(-66). Solve -16\/3*u**2 + 0 + 16\/3*u**4 + 0*u - 2\/3*u**t + 2\/3*u**3 = 0 for u.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1829, -3, 3 in descending order.\nAnswer: 1829, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 6*c. Let a(j) be the second derivative of 0 - 2*j - 1\/6*j**3 - j**2. Let w be a(-6). Give q(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -74*l. Suppose 1513 = -197*j + 2301. Let r(b) be the second derivative of 0*b**3 + 18*b + 0 - 1\/12*b**j + 0*b**2. What is r(d(p))?\nAnswer: -5476*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 19787\nAnswer: -316592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.057614391?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 65068*s\/3 + 529230578\/3.\nAnswer: 2*(s + 16267)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - k - 1. Let l(h) = -2*h**3 + 3*h**2 - 17*h + 31. Let m(g) = 3*j(g) + l(g). Differentiate m(w) with respect to w.\nAnswer: 3*w**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 22 = -h, 0 = -2*h - 2967*s + 2964*s + 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (25\/(-1) - 1)*1. Let j = 23 + w. Let m(i) = 3*i + 4. Suppose 4*n - 16 = 3*u, 2*u + 0*u - 2*n = -10. Let p(q) = -3*q - 3. Calculate j*m(v) + u*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13582 divided by 16698?\nAnswer: -6791\/8349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.28, -4, 32, -1.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -1, 4, 159?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40779373 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-6)*y)**(3\/4)\/(y**(-1))**29 assuming y is positive.\nAnswer: y**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 - (-23 + -8 - -41).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 3 - (0 - 1). Suppose 20 = x - 3*x + 5*i, -3*i + w = -3*x. Let a be (-1 - 0\/(-3)) + x. Let f(h) = 4*h**3 - h. What is f(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**2 - 2*f + 5. Let x be g(4). Let c = x + 321. Suppose -b = 5*r - 49, -2*b - 29 = -3*r + 3. What is the greatest common factor of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 - 2*h + 2. Let v(u) = 6*u**3 + 2*u**2 + 5*u + 2. Let o be v(-1). Let n(r) = 14*r**3 + 7*r - 7. Determine o*p(i) - 2*n(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.03 - 3.9646. What is h rounded to three decimal places?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*l + 70, l - 116 = -4*v - 17. Let b = v + -13. Suppose 5*s + 5*u = 35, -3*s + 9 = -u - 0*u. Solve s*h - b = -0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + -2)\/(-84 - 0). Let g = m - 2\/21. Is -0.1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*x + 12, -2*x - 2*x = 2*g - 2. Suppose 0 = -g*w + 2*w + 8. What is the greatest common divisor of w and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -403*b**3 - 2*b**2 + 3*b - 2. Let c(u) = 1603*u**3 + 9*u**2 - 13*u + 8. Give -2*c(p) - 9*l(p).\nAnswer: 421*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 33624*j**2 - 3193558*j\/5.\nAnswer: -2*j*(j + 19)*(j + 84041)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b + 4*d - 4 + 1 = 48*b - 2, -b - 24*d + 94 = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)\/z**1)\/(((z*z\/(z\/(z*z**(-1)))*z)\/z)\/z*z)**(-42\/5)*((z\/(z\/(z\/z**1)))\/((z*z*((z*z**(-1\/6))\/z)\/z*z)\/z*z))**(-1\/2) assuming z is positive.\nAnswer: z**(619\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/166238753?\nAnswer: -2\/166238753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16010401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234306 is divided by 663?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*p + 245, -p - 7 = -2. Let w be ((-3)\/s)\/((-1)\/(-8)). Factor w + 2\/5*q - 2\/15*q**2.\nAnswer: -2*(q - 4)*(q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -8. Let c = n - -15. What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1987196*k**5*m + 2*k**5 - 3*k*m + 77*k + m - 184 wrt k?\nAnswer: 39743920*k**3*m + 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 348.4115 kilometers?\nAnswer: 34841150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14193\/(-11039)*7\/2*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u + 37*u = 0. Suppose u*v + v = 9029. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85798603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 21 - 25 + (-1 - 2 + 2)*(-4 + 1 + 5) - 6 + 3 + 2)*(4 + 4*q - 4 + (2*q + 3*q - 3*q)*(-1 + 2 - 2)).\nAnswer: -90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132941 + -132941. Let r be (-3)\/((-1)\/(2\/(-3))). Let g be (-1)\/r + (-1)\/(-2). Solve -n = -f*n - g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 60*m**2 + 8*m - 477. Determine w(60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005161 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38 and 6581?\nAnswer: 6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 + -a?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**3\/6 + 16*a**2 + 2*a + 336. Let p(v) = -2*v - 5. Let q(u) = u + 2. Let s(r) = -2*p(r) - 5*q(r). What is s(w(g))?\nAnswer: g - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-1)*((-4428)\/(-180))\/41?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v - 5, -3*v - 36 = -3*s. Suppose 5684 = 2*x + 26*x. Calculate the greatest common factor of x and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125981491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -308912662, -617825321, -926737980, -1235650639, -1544563298?\n\"Answer: -308912659*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 - -230?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15*(-1)\/3*10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14080224\/200 + 78\/(-650)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y + 51. Let s be c(-12). Let n = 5 + -3. Factor 0*l - 2*l**s + 14*l - 2 - 4*l**n - 6.\nAnswer: -2*(l - 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1241 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -f + l, 47*f = 44*f - 12*l + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -8. Let l be 2\/c*(-160650)\/(-66). Let b = 406 + l. What is the common denominator of -87\/10 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u - 6. Let l be -23 - (3 + u + -2). Let d = 38 + l. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1617004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14817, -60597, -136899, -243723, -381069, -548937?\n\"Answer: -15261*y**2 + 3*y + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 51 = -387. Let r be (114\/l)\/19 + (-150)\/8. Sort 0, r, -2, -3.\nAnswer: r, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 - 6*d**2 - 2*d + 8. Let a(l) = 13*l**3 - 17*l**2 - 5*l + 28. What is -2*a(s) + 7*h(s)?\nAnswer: 2*s**3 - 8*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 220*d**2 - 100*d**2 - 111*d**2. Let t(s) = -54*s**2. Determine i(t(p)).\nAnswer: 26244*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-275))\/((-2)\/5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 22 = 5*g - l, 5*g = 5*l - 5. What is the lowest common multiple of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191008289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91741134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.91 and -8?\nAnswer: 15.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwhwhwwwwwwhhwhhhh. Give prob of picking 3 w.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4417 is divided by 3134.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10005*c**3 - 28*c + 1086.\nAnswer: -60030*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1200, 4, -4, -5 in ascending order.\nAnswer: -1200, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -3 (c) 11\/29 (d) 0.1 (e) 37 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*38\/4 - 1. Suppose -5*g - 4*k = 205, 0*g - j = 4*g + 2*k. Let y be g\/(-39) - (-1)\/(-1). What is the second smallest value in y, -1\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q**(-4)*q)*q*q\/q**(3\/7)*q)\/((q\/((q*q**(1\/5))\/q*q))\/(q\/q**0)) assuming q is positive.\nAnswer: q**(342\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.25567 litres in millilitres?\nAnswer: 32255.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 11:56 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*s**3 - 149*s**3 + 589*s**3 - 128*s**3 - 148*s**3.\nAnswer: 31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 8) + (-3 - 0) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/33*(-16146)\/(-4784)*(-4)\/3.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64829902 to the nearest integer?\nAnswer: 8052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.02922, -0.3, 4, -3, 0.3, -0.5, -5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 459 = -1053. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 + -207. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39353156417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741218660.\nAnswer: 2, 5, 7, 13, 407263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - -77.93. Let j = -29 - n. Let q = j + 116.2. What is q rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/2 + -128 + 140?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 767 = 83. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5 + (1 + 0 + 1)*(2 + 0 - 1) + 5 - 1 - 2)*(-4*g + 3*g**5 + 4*g).\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 74\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -20414*x. Let h(j) = -1613*j**2. Determine u(h(z)).\nAnswer: 32927782*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24508 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/3))**(-32))**11)**(5\/3) assuming i is positive.\nAnswer: i**(-7040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7146603 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 239*q**3 - 3*q - 512*q**3 + 293*q**3 - q**2 + 3*q.\nAnswer: 20*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -306505*r - 2065. Let t(d) = -594*d - 4. Determine -2065*t(l) + 4*v(l).\nAnswer: 590*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 2. Let q = 370\/69 + -16\/3. Let g = q - -124\/483. What is the closest to 2\/5 in g, 3, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4972398 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -5, 1, -1\/5, -0.5 in increasing order.\nAnswer: -89, -5, -0.5, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 69*u**6\/10 - u**4\/6 + 547*u**2 + 53*u - 26. What is the third derivative of f(z) wrt z?\nAnswer: 4968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394782 is divided by 913530.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-73 - -76) + (-2 - -15)) - -70?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 32 = 5*k - 0*k, 2*d = -5*k + 28. Suppose k*q = -36 - 4. Let z be (((-7)\/2 - -3)*q)\/1. Solve 1 = z*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -16. Let n be ((-6)\/(-4) - 0)\/(v\/50). Let s be (-36 + -4 + 2)\/(3\/n). Round s to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) -0.4 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 22131?\nAnswer: -22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 1 - 7 + 6. Let i be 1\/((-4)\/(-28) + 0). Suppose -2*y + 3 = -i. Determine k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-2) + 81\/(-54) + 8. Suppose -v*h + 2*s = -409604, 2*s + 459353 + 155051 = 3*h. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.1, 1, -0.042?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 7. Let v be p(6). Let f be v\/10*2 + -1. Let s = 0.216 - -3.784. Which is the biggest value? (a) s (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368861371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*1 + -5)*-4.\nAnswer: -4*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)*j**(-12))**(-43)\/((j**(-2))**(-1\/50))**(-1\/17) assuming j is positive.\nAnswer: j**(456876\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803916 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3125391?\nAnswer: 3, 277, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 804018*l**3*m**2 - 1241*l**2*m**2 + l**2 + 1004*m**2 wrt l.\nAnswer: 4824108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 198 - 194. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 384 - 24. Suppose -5*x + 5*y - j = 0, -2*x + 2 + 20 = 4*y. Solve 3*b - 2*b - x = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-56)\/56)\/(2\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**3 + 4*d**3 + 1 + 4*d**3 - 5*d. Let x be j(4). What is the units digit of 10\/x - 158\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 36*p**2\/5 - 1392*p\/5 + 13456\/5 = 0.\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-139)\/(-3))\/((-5698)\/2442) + 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2 + 21*i + 17. Let q be n(-9). Let w(y) = -2*y - 1 + q*y + 1. What is w(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 414 = -0*y + 4*s, 3*y + 2*s - 1228 = 0. Put y, 1, 5 in decreasing order.\nAnswer: y, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1606 - -4778\/3. Let u(a) = 9*a + 7. Let x be u(7). Find the common denominator of ((-27)\/(-42))\/(4\/x) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 3*c + 4. Let z be u(-3). Let n = 385 + -385. What is the nearest to 1\/7 in n, 5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/3 - (-22341)\/(-677))\/((-8)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/4 - 8*y**3\/3 - 4*y**2 - 6*y + 1. Let b be f(9). Let s(w) = w + 2. Let v(d) = -d - 2. Give b*s(c) + 4*v(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2200*s + 2*b = 2186*s + 2, -3*s - 3*b + 6*b = -21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-3))\/84*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 2*g. Let m(y) = -16*y**2 + 11*y. Calculate 2*m(w) + 11*o(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*r + 11 = 0, 4*x + 22 = 4*r + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 14. Let w(d) = d**2 + 5*d + 1. Let s be w(-6). Let g = s - m. Is g > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g**2 + 2*g - 32. Let f be y(0). Is f equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/18*108\/(-144).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z - 522. Determine a(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 12:04 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:13 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -41\/2. Let w be 1 - -2 - 41\/13. Sort q, -0.1, -0.7, w in descending order.\nAnswer: -0.1, w, q, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002668 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 614.3247 millimeters?\nAnswer: 614324700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/4)*r)*r)\/r)**21\/((r*r*r**0)\/(r\/r**(-7)))*(r*r**(-6)*r**7)**(2\/69) assuming r is positive.\nAnswer: r**(223\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 0.1\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3203 * -0.2069\nAnswer: -662.7007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 55*a - 20. What is the remainder when j(2) is divided by 70?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15) - (255\/(-25) - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13 - 6 - d**2 - 3*d + 0*d**2. Let y be w(-5). Let b = 0 - y. Solve -2*m = -l + 1, b*m + 4 = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22140359.7 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -30, -136.\nAnswer: -136, -30, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y. Let m(c) = -54*c. Give m(n(j)).\nAnswer: -864*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311*w**3 - 1070*w - 859*w**3 + 2225*w - 1621*w wrt w.\nAnswer: -7020*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 106289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -3 (b) 0.6 (c) -151 (d) -0.1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54428273 + -0.8.\nAnswer: 54428272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15104\/13 - 1162. Sort 5, h, -0.2 in decreasing order.\nAnswer: 5, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = t - 13, 11 = 4*t + 4*d - 77. Let j = -13 + t. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 - j. Let t(v) = -8*v**2. Give t(n(k)).\nAnswer: -128*k**4 - 64*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -67. Calculate the remainder when 55 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 14*p + 5*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 10*q - 128 = 0, -4*q + 74 - 41 = 5*r + 42 - 136 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 202*b**2 - 4998*b + 5202 = 0. Calculate b.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4027 (base 10) to base 13\nAnswer: 1aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -32, -1901.\nAnswer: -1901, -32, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707273 is divided by 10716?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from leele.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 409*k + 11786. What is the smallest common multiple of 104 and x(-30)?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141350)\/(-4626)*(-2)\/(-11).\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -542410341 - 0?\nAnswer: -542410341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27190152 by 9363.\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from ivggvvttivtv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.2. Suppose 2*r - 14 = -2*u, -r - 4 - 4 = -4*u. Which is the closest to l? (a) -3 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23.316, -1\/6, 0.07 in descending order.\nAnswer: 1, 0.07, -1\/6, -23.316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmbbcmmmsmmmmkbjmm. Give prob of picking 1 s, 1 j, and 1 m.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is 584382432 divided by 1002?\nAnswer: 583216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203849007 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 6, -3, -4\/3, 2\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 4. Let y be w(0). Let o = -199 - -199. Suppose o*g + 276 = y*g. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2837\/15 - 189. What is the biggest value in 2\/9, -1\/4, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5839 + 17210. What are the prime factors of a?\nAnswer: 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 2*j + 0*j. Let a(t) be the first derivative of t**5\/120 + t**3\/3 + 4. Let c(k) be the third derivative of a(k). What is c(x(l))?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -2c?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -49, 7, 101, 245, 451?\n\"Answer: 2*t**3 + t**2 + 13*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -54672\/27589?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 31096 to the nearest 100.\nAnswer: 31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16646849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + 137. Calculate the remainder when o is divided by (-26 + 23 - -13)*(-112)\/(-20).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3627005.\nAnswer: 5, 19, 73, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 5*h + 10, 31*h - 29*h = -8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = a - 11, -24 + 26 = a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w**2 - 112*w + 4507. Determine a(-27).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - (386 + -389).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6566 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 7) in base 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -10. Is s smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 16. Suppose 0 = j*z + 8*z + 416. Suppose 2*n - 2*l + 48 = 0, -4*n + 2*l = -3*l + 95. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = 6. What is the tens digit of q*(-3)\/(-4)*-40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14) + -7*(15\/18)\/5.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1*2*(-12)\/200?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1732793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -17 + (7 + 7 - 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 (base 10) in base 5?\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67511520, -67511521, -67511522, -67511523?\nAnswer: -67511524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*c - 2*c - 54, -5*c = 10. Suppose -2*b - v = -2*d - 7*b, 18 = 4*d - b. Suppose x + 4*a - 18 = 0, a - 60 - d = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027417562 rounded to 7 decimal places?\nAnswer: 0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvad when four letters picked without replacement from {d: 3, v: 7, a: 2}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21590617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6 + 2*z - 3 - 6*z**3 + 15*z - 3*z**2 - 3*z. Let m(o) = o**2 - o - 1. Let q(t) = a(t) + 3*m(t). Find the second derivative of q(r) wrt r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -99.\nAnswer: 178\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 334672, 334697, 334722?\n\"Answer: 25*o + 334647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l - 12. Let g be u(2). Suppose 5*i - 75 = -g*k - 27, -k + 2 = 0. Does 27 divide (-327)\/(-2) + ((-4)\/i - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6894*b - 262*b + 5123*b - 1764*b - 226*b as p + y*b and give y.\nAnswer: 9765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (30 - -55) + -48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 + 145. Let a(p) = -9*p - 100. Let r be a(-12). Calculate the greatest common divisor of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 2 + -12 - (-12 - -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 574 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 2)*(2*j - 2*j + j**2) + 258 - 15*j**2 - 258 as k + h*j**2 + d*j and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3006 - 3006. What is the closest to 2 in 2\/3, b, 76, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100010101100110 (base 2) to base 13\nAnswer: 1a003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 89, 158, 239, 326, 413, 494?\n\"Answer: -g**3 + 15*g**2 + 13*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let f(t) be the third derivative of -17*t**7\/2520 - 11*t**4\/24 + t**3\/3 + t**2 - 107. Let b(q) be the second derivative of f(q). What is n(b(s))?\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 142*z - 1 - 1019*z + 872*z.\nAnswer: -5*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -4\/7 (b) 2 (c) 1 (d) -154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 376, 363?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgugqjggjqwqqw. Give prob of picking 1 g and 1 j.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102202 (base 3) to base 8.\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1577 + 4824. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s + 680. What is the tens digit of m(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 8. Let k(q) = q**3 - 3*q**2 - 12*q + 14. Let o be k(5). Let u(b) = 13*b**2 - 9*b - 7. Let x(j) = 7*j**2 - 5*j - 4. What is o*u(h) + y*x(h)?\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70208 is divided by 17550?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - (2 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35847?\nAnswer: 3, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 2. Let h(z) = -5*z**2 - 11. Let j be 2786\/21 - (-2)\/(-3). Suppose 0 = 4*k - 8*k + j. Let c(g) = k*l(g) - 6*h(g). Let m(b) = b. Give m(c(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 11. Let q(k) = 2*k**2 + 5*k - 2. Let g be q(-4). Let p be n(g). What is the tens digit of 2 - p - 1 - -111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 6*s - 7. Let r be a(5). Suppose -29 = -5*k - 4. Let p = k + r. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1310 + 1309. Let m = -2\/387 - -499\/21672. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*(-19)\/95\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 335 = 237 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 814899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4773*r**2 + 4138*r + 8. Let p(m) = -1196*m**2 + 1035*m + 2. Let c(q) = -9*p(q) + 2*u(q). What is the second derivative of c(b) wrt b?\nAnswer: 2436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 206560.3 milligrams?\nAnswer: 0.2065603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 1.1 (c) -4456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -5, 3*a - 3 = -2*y. Calculate the remainder when y is divided by ((-76)\/95)\/(4\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 620.76771 - 102.\nAnswer: 518.76771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**4*k\/((k**(-1\/2)*k)\/k)*k*k)**(5\/21) assuming k is positive.\nAnswer: k**(85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/2 + 13*a\/2 - 84 = 0.\nAnswer: -21, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**8\/120 + 19*r**7\/525 - r**6\/20 + r**5\/150 + r**4\/30 - 30*r**2. Suppose z(n) = 0. What is n?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*k)**18*((k\/(k*k*k**(-1)))\/k)**(-24))**(1\/6) assuming k is positive.\nAnswer: k**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -0.1, -2 in decreasing order.\nAnswer: -0.1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315828917 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20721 divided by 15.\nAnswer: -6907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 217205903347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (4 - 0 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137382 divided by -12?\nAnswer: -22897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -35*u + 4. Let q be n(-1). Let m be (-1534)\/q - (-4)\/(-6). Let f be (m\/12)\/((-1)\/5370). Round f to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1399192*i + 183 - 3*i**3 - 1399192*i.\nAnswer: -3*i**3 + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -10 - (-75)\/(-42))*14\/(-18).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - k**2 + k**2 + 0*k - 2*k**3 + 2*k in the form j + f*k + d*k**2 + z*k**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1078318 - 1078318 + 4*j**2. Let h(x) = -831*x**2. Give z(h(b)).\nAnswer: 2762244*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/42 and 7\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from vxtuuag.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34 = o + 5*i, -2*i + 60 = -2*o. Suppose 171 = -22*y + 19*y. Let w = o - y. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -364, -366, -368, -370, -372, -374?\n\"Answer: -2*r - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 2*k - 2. Let s be u(2). Suppose -5*w = -s - 2. Find the third derivative of 4*m**4 - 6*m**2 + m**w + 5*m**2 wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -7\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 234*y**2 - 339*y - 31422. What is k(236)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/25 and -98\/285?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/4 and 71\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, -154, -512, -998, -1606, -2330, -3164, -4102?\nAnswer: -5138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4655 != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(75) + sqrt(75) + -2 + sqrt(75) + sqrt(75) + 3 - 1*(sqrt(75) + sqrt(75) + -4))*-1 + -1 + -2)**2.\nAnswer: 160*sqrt(3) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-56)*-1)\/(40\/(-336))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9585351 and 92\/45.\nAnswer: 47926755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-14))\/(-11)*(-7)\/28\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -92*y + 3949. Determine f(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let u(x) = 147 + 34*x + 9*x - 41*x. What is the hundreds digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/15)*s**(-1)*(s**(2\/9)\/s)**(20\/9) assuming s is positive.\nAnswer: s**(-1078\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = 3*s - 45, 4*i - 3*i - 2*i - 3*s - 156 + 166 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*q - 176, 2*q + 2*q - 232 = 2*z. Let m = q + -52. Suppose -5*i + m*i - 12 = 0. Solve d + 17 = -i*t, 6*d - 2 = 2*d - 2*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = -2*a. Let y = 0 + a. Let m = 5 - 2. What is the remainder when y is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*s - 5*v, -v + 0 + 4 = 0. Let b be 57\/s + 2\/6. Let w(h) = h**2 + 3*h - 6. Let x be w(b). Calculate the highest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489988 (base 11) to base 12\nAnswer: 314254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = i + 4*w, 2*i + 2*w + 198 = 4*i. Calculate the least common multiple of i and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68472075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-3\/2)*u*u)*u**18*u**0\/(u**13\/u) assuming u is positive.\nAnswer: u**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3662, 7510, 11338, 15140, 18910, 22642, 26330?\n\"Answer: -m**3 - 4*m**2 + 3867*m - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799043579?\nAnswer: 3, 5483, 36457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.06, 10.2, -1\/7, -14.5.\nAnswer: -14.5, -3\/5, -1\/7, -0.06, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -393 - -583. Suppose -236 = -k + g. Is 71 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/43255866 + -15471137971\/375763707942. Let r = c - -1\/511. Let h = 157\/102 + r. What is the second biggest value in h, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*w - 66, -65*w + 64*w + 4*m + 28 = 0. Solve -57 = 7*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1094 and -3514823.77.\nAnswer: -3513729.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*k - 10 + 10 = 0, -4*q - 4*k = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(17 - 19)*8\/(-94). Suppose -5*m + 15 = -2*m. Suppose 2*l - m = -3. Is t less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.699 times 93\nAnswer: -65.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50993370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -120, -206, -314, -450, -620, -830, -1086?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9058 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 s(k) = 2*k**3 - 4*k**2 - 6*k + 5. Let w be s(4). Let i = -455 - w. Round i to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-5298)\/(-15))\/((-1)\/(-5)). Suppose -2*k - 6*k + g = 0. List the prime factors of k.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398498777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**4 + 22*v**3 - 24*v**2 + 14*v. Let z(y) = 18*y**4 - 21*y**3 + 23*y**2 - 15*y. Let i(d) = 5*p(d) + 4*z(d). Let i(q) = 0. Calculate q.\nAnswer: 0, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 + 696*w**2 + 19*w + 3003. Calculate c(-174).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 21*k - 11*k + 49*k - 17*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = -4*h, 0 = o - 3*h + h - 10. Solve m + d = -4, o = -5*m - 0*d - d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -331.43 + 331.374486. What is o rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8597972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.42658ng in milligrams?\nAnswer: 0.00009042658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1634 + -1612. Calculate the remainder when 438 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 1. Let a(n) = 11 - 13 + 2*n + 4. Let j(c) = a(c) - 2*x(c). Let s(z) = -3*z. Calculate j(s(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 7*w**2 - 9*w + 10. Let k(i) = i**3 + 6*i**2 - 8*i + 8. Let o(b) = -4*k(b) + 3*y(b). Suppose -c = 3*c + 20. List the prime factors of o(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92912 divided by -4\nAnswer: -23228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v + 4*w + 14, 2*v + 5*w = 0. Suppose d - 22 = -2*p, 0 = -v*p + 15 - 0. Solve 15*a = d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(306) - sqrt(306)) + (-1*sqrt(272))\/sqrt(8))\/((sqrt(18) - 5*(sqrt(288) - sqrt(18)))\/((sqrt(81)*-1)\/sqrt(9))).\nAnswer: -sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9218\/(-44))\/((-2)\/(-4)). Let x = w + 607. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84945.\nAnswer: 3, 5, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42405, 42384, 42361, 42336, 42309, 42280?\nAnswer: 42249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.22, 0.2, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136 (base 12) in base 15?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1602 + 728. Let v = h - -4388\/5. Calculate the common denominator of v and -61\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483571.6 centimeters to nanometers.\nAnswer: 4835716000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355156117.\nAnswer: 109, 1201, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 20. Let l(x) = 57829*x. Determine h(l(y)).\nAnswer: 115658*y + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -62, -63, -66, -71?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 18\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 t when three letters picked without replacement from {t: 7, r: 2, n: 1, x: 2, w: 3, j: 3}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2235935*b**2 - 2*b - 69122 wrt b?\nAnswer: -4471870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/15 + 5668*q\/3 - 28330\/3 = 0 for q.\nAnswer: 5, 14165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (9 - 7) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1224*t + 69 + 2 - 315*t - 71 to b + f*t and give f.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2 - 24*b. Suppose -2 - 3 = -t. Let f(g) = 4*g**2 - 8*g. Let v(n) = t*o(n) - 14*f(n). What is h in v(h) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 887*u + 883*u + 0.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1353365 + 953365. What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 - 66*y - 2. Let d be w(-7). Let m = -45 - -226\/5. Which is the nearest to m? (a) -1 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f - 73*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 68 + 0*x**4 + 0*x**2 - 41*x + 4\/5*x**5 + 2\/3*x**3. What is the third derivative of w(f) wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669\/446*2*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/13, 0.3, 0.5, -8, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i*j**2*q**2*u - 593*i*j**2*q*u + i*j*q*u + i*j*u + 4*i*q**2 + 2*j*q**2*u wrt j?\nAnswer: -6*i*q**2*u - 1186*i*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 535, 926, 1389, 1918?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5*c. Let f be r(-5). Let j be 14 + (9 - 6 - 14). Solve f + 0*i - 1\/3*i**2 + 2\/3*i**j - 1\/3*i**4 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 7*k + 9*k - 3*k + 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from nnnnfnnfnnn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1955*y + 25421. Let a be w(13). Let u(d) = d**2 - 3*d + 1. Let c be u(5). Solve -a + c = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 2)*(24 + 41 + 20) - 5 + 4 + 2)*(2*l**5 - 6*l**5 - l**5).\nAnswer: -855*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7855401 to the nearest integer?\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4357.2 + -4357.4. Let r = 14.93 + -15. Let p = 0.37 + r. Sort 0.5, p, t, -0.6 in decreasing order.\nAnswer: 0.5, p, t, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35552037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -295921 divided by 223\nAnswer: -1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4)*g*g)**(4\/27))**(-6\/5) assuming g is positive.\nAnswer: g**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1 + 20*r - 18*r - 3*r. Let b(k) = -11*k + 6. What is b(o) - 5*t(o)?\nAnswer: -6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 15*p**2 - 8*p - 110. Calculate i(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**3 - 4*n**2 - n. Let y(p) = p**3 + p**2 - 5. Let f(c) = -c**3 - c**2 + 4. Let a(l) = 5*f(l) + 4*y(l). Give 6*a(h) - u(h).\nAnswer: 2*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39640.11 millilitres?\nAnswer: 39.64011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 - (51\/(-3) - 17491).\nAnswer: 7, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72433 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4437218?\nAnswer: 2, 2218609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.591 - -2.691. What is the closest to i in 11, 0.9, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 50) + (1805 - 1728)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2307 and 114555?\nAnswer: 88092795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*b - 8. Let f = -1 + -1. What is the tens digit of (-23)\/((b + 0)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u**4 + 29*u**3 + 74*u**2 - 96*u - 44. Let d(q) = q**4 - q**3 - q**2 - q + 1. Let g(a) = 4*d(a) + z(a). Solve g(j) = 0.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**4\/2 - 5*a**3\/3 - 3*a**2\/2 - 2*a - 3. Is l(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.59, 2\/47, 33\/4, -3, -1?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 18\/11, -291, -569?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 18 = -14. Suppose -n + 452 = 3*x. What is the highest common factor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -331, -316, -301, -286, -271?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/16191, 5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 9 - 3. Let i(w) = 4*w - w**3 - 4*w + 3*w - c*w**2 - 1 - 5*w. Calculate i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851158.\nAnswer: 2, 7, 11, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5 - 6243*b**4 - 113235*b**3 - 234177*b**2 + 2495064*b - 3047748 = 0?\nAnswer: -11, 2, 2099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 69. Let w(j) = 2*j + 17. Let l be w(u). Solve 3*s + l = 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250890533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 77, 73, 69, 65, 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2501*v - 3*f = 2499*v + 3, -4 = 2*v + 4*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9690 is divided by 242?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(8\/7)))\/(z\/(z*z\/(z*z*z\/z**(-6)*z))))**28 assuming z is positive.\nAnswer: z**(-284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36230322?\nAnswer: 2, 3, 853, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/6*6\/(-4). Suppose 0*u = -5*u - 25, 5 = 2*y + 3*u. Is h >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3134, -3151, -3170, -3191, -3214, -3239?\nAnswer: -3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 12. Let n(y) = y**2 + 62*y - 331. Let h be n(-67). What is m(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 12:52 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let u be (29\/(-9) - -3)\/(2*1\/(-3)). Let 1\/3*x**m - 2\/3*x + u = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 2\/5, -654, -3.4, 3, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + 8*s - 20. Determine z(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 + 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31977 or -31995?\nAnswer: -31977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10365 is divided by 10260.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1892118, 1892120, 1892122?\nAnswer: 1892124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4095535 + -5833130. Let j(m) = 25962407*m + 2. Let l be j(-1). Let q = y + l. Round q to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-14)\/(-5))\/(-1). Let i be (1 + 2 + -2)*-8. Let v = 6 + i. Is x at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 198 = 11*v. Calculate the lowest common multiple of v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 - 4*q**5 - 4*q**5 + 2*q**5 + 18*q**5 + 5*q**5 + (-q**3 - q**3 + 3*q**3)*(0 - q**2 + 0) + q**2 - q**2 + 2*q**5.\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.72074 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9355 + 0.0645. What is the smallest value in 0.3, 0.18, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 69 in ascending order.\nAnswer: -8, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-255)\/(-34))\/((-159)\/424)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1250 and 7496250?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.76 - 2.26. What is the biggest value in b, -4, -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 3*g - 1098 = 0. Let m = g + 411. Let s be 34\/m*(0 - 2). Are -1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + a. Suppose 3*n - 24 = -4*l - 9, 3*n - 15 = 5*l. Suppose -4*t = l, -3*h + 3 = 2*t - 3*t. What is c(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -57, 207.\nAnswer: -57, 64, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -20, -2*m - 2*i = i - 1415. Does 65 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-553)\/252)\/((-21)\/(-28))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*o - 508, 4*o = -2*x + 9*o - 180. Let i = 149 + x. Calculate the remainder when i is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 17*v. Let f(m) = -8*m**2 - 5. Let i(x) = 26*x**2 + 16. Let h(d) = 16*f(d) + 5*i(d). Determine h(q(k)).\nAnswer: 8*k**4 - 136*k**3 + 578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 + u**2 - 2*u. Let m(i) = 0*i**2 - 1 + 4*i**2 + 2*i**3 - 3*i**2 - i - i**3. Let w be (32\/20)\/((-4)\/50). Let o = w - -19. Give o*z(l) + 2*m(l).\nAnswer: -2*l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlllmllmml. Give prob of sequence mml.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2804*o**3 - 3606*o**2 wrt o?\nAnswer: -16824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 14*y**2 + 16*y - 24. What is the tens digit of q(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2. Let x be 16\/216*3 + 166\/(-18). What is the lowest common multiple of 3\/x*-123 - 2 and f(2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20750927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -55*f + 2. Let w be r(8). Let i = w + 644. What are the prime factors of i?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 923921 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 504.15563 rounded to 2 decimal places?\nAnswer: 504.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 11*r - 18. Calculate the smallest common multiple of 12 and a(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**3)**23*(r**(-2\/15))**(-46) assuming r is positive.\nAnswer: r**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:10 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/(-2))\/(95\/7790*82)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:11 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 11117*o**2 - 3495745*o - 3506861.\nAnswer: (o - 307)*(o + 1)*(o + 11423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Suppose 2 - s = -3*n. Which is greater: 1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(10)\/(sqrt(22)\/sqrt(44)) + (sqrt(405) - (-1*(sqrt(405) + (sqrt(405) - (-2 + sqrt(405)))))**2 - (-1 + sqrt(405) + 1)).\nAnswer: -414 - 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a factor of 30812670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -1189, -1784, -2379, -2974?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -629127 (base 13) in base 4?\nAnswer: -20302231113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*n - 36, 0*n + 3*n = -3*t + 33. Let h be (-3 + 7)*6\/t. Suppose -4*r + 1 = -h*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13934507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-42)*(0 + 3). Let s = 247 - 258. Is s >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59434 is divided by 19594.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*26\/(-2067)*(-1)\/(-2).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822.\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32768 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*u - 136 - 470 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -34, -43, -54, -67, -82?\n\"Answer: -v**2 - 4*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2134\/(-873)*1*27\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8 + 6*v + 3*v + v**2 + 8*v - 5*v. Let l be j(-7). Let y = -7 - l. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*y**2 + 6*y + 173.\nAnswer: 10*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + 68. Let h = u - 36. Calculate the remainder when h is divided by -62*(6 + (-91)\/14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -16. Let h = a + 16. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*b + 751*b + 71568 = -882*b for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 894, 931, 968?\n\"Answer: 37*u + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -5.7. Let j = y + 6. Is j >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/5)*k)**(-44)*(k*k**10)\/(k*(k**(2\/9)*k)\/k) assuming k is positive.\nAnswer: k**(-3124\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146882793 rounded to 4 decimal places?\nAnswer: 0.1469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9762101 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.03 - 8. Let u = t - 0.13. Let n = -13 + 8. What is the second smallest value in n, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = t, -t + 0*t + 5*c + 11 = 0. Let l(z) = -z + 34 - 10 - 13 - 10. Let u(d) = d**2 - 4*d + 3. What is t*u(m) - 3*l(m)?\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1398907020 divided by 12\nAnswer: 116575585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15429 - 7713 - 193*q - 2*q**2 - 7713 as d*q**2 + w + o*q and give o.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17603 - -2112373\/120. Let a = 1\/120 - c. Put -1, -5, a in increasing order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -h + 9, -p + 242 = -4*h + 258 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 248037531 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*g - 359*g**6 + g**3 + 70*g - 4*g**2 - 60*g**6 wrt g?\nAnswer: -50280*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 18, 15, -4, -34, 87\/2, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 186. Suppose -6*j = -5*j - 13. Is c smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2210*n = -11924 - 45536 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/10*g**6 + 0*g - 1\/112*g**8 - 54*g**2 + 0*g**7 + g**3 + 0 - 1\/10*g**5 - 3\/8*g**4. Factor k(b).\nAnswer: -3*(b - 1)**3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, j: 1}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, r: 5}. What is prob of sequence mmmm?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/4)*l**(4\/7)*(l**(1\/2))**(-1\/17)*l**(-2\/11)*l*l**(-6)*l**1\/l*l**3 assuming l is positive.\nAnswer: l**(-7277\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191609.\nAnswer: 11, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 19*u**3\/6 + 5*u**2\/2 - 93*u + 4. What is z(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -15*w**3 - 5*w**2 + 10*w + 38. Calculate the smallest common multiple of j(-3) and 6.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57)\/(-2)*2\/3. Suppose 28 = v + 5*k, -2*v + 7*k - a = 2*k. Suppose -3 = -t + 2, v*u = -t + 20. Solve 0 = -4*f - n + 12, -f + u*n = -4*f + 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-441))\/(15\/18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.8 (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117, -225, -321, -399, -453, -477?\n\"Answer: p**3 - 115*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n**3\/2 - 2861*n**2\/2 - 4889*n\/2 - 2035\/2.\nAnswer: -(n + 1)*(n + 407)*(7*n + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 10. Let k be x(-12). Suppose g = -2*a - 9, -3*g - 3*a = k*a + 23. Let q = 12 + g. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 38*k**2 + 13*k + 421. Calculate the remainder when u(-18) is divided by 275.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5367 is divided by 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97.31 + 97.310006461. What is u rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110101111111001010 (base 2) to base 8.\nAnswer: -5657712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z**2 + 4)*(-25*z**2 + 5*z**2 - 22*z**2).\nAnswer: -42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 8*g - 1. Let f be j(7). Let l(n) = -n - 9. Let u be l(f). Let c be -1 + 1\/(-41)*320\/(-8). Is c >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 22 = -w, -5*w = -3*y - 84. Suppose 5*q + 291 = 4*h, 2*h + 3*q - 149 = 2*q. Let d = h - 38. What is the greatest common factor of d and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(248\/(-770) - 12\/(-42)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 20 = m. Suppose -5*k = -m, -5*l + 0*l = k - 14. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -8*x + 48. Let s be ((6\/(-4))\/(18\/x))\/1. Let f(a) = 2*a - s*a - 11*a. Let r(q) = -2*q**2. Calculate f(r(v)).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 46 = -5*u, -6*o = -4*o - 5*u - 5 + 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6 and 16\/379?\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 10*y + 50. Let t be q(8). Solve -5*c + 5*m = 0, -t*m = -5*c - 5*m + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 1:49 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3121*b + 1986 = 58437 - 6515 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/37249835 and -61\/10642810?\nAnswer: 74499670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 1. Let q(r) = -4*r**2. Give s(q(m)).\nAnswer: -48*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (103 + -7)\/(0 - 1). Let z = -57 - q. Is z\/3 + 2\/(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -352\/5. Let r = 0.2 + -0.3. Which is the third biggest value? (a) s (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - -1) + (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2273*a**5 + 2148*a?\nAnswer: -45460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*r + 116. Let k be r\/7 + (-4)\/(-14). Let l be (1\/5)\/((-2)\/k). Which is the biggest value? (a) -4 (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/19 less than 13648312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 5, -1, 209, 1, -9 in descending order.\nAnswer: 209, 5, 4, 1, -1, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 + 192. Suppose -4*w + 0*c + 46 = -2*c, 3*c = 5*w - z. Solve 2*s = 4 - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664324?\nAnswer: 2, 19, 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.882 - 0.118. What is the closest to 0 in -0.02, -6\/11, g, 1\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 4:48 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*c - 215*c**3 + 667*c**3 - 215*c**3 + 3 - 240*c**3 + c**4 - 2*c**2 to the form l*c**4 + o*c + k*c**2 + v*c**3 + h and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyzlzlxzlyxlz. What is prob of sequence xz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5394*j*l**4 + 342*j*l**3 + 5*j*l**2 - 624*j*l - 2*j + 10*l wrt l?\nAnswer: 129456*j*l + 2052*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:58 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 4*w**3\/3 + 8*w**2 - 4. Find a such that h(a) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/259 or -8805?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38081.\nAnswer: 113, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -12. Let q(o) be the first derivative of 5*o**2\/2 + o - 2297. Let g(w) = -9*w - 2. What is v*q(a) + 6*g(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161336 and 181034.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24473 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432032 divided by -52?\nAnswer: 608008\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-2)\/8). Suppose -h + 45 = -0*k - 3*k, t*k + 2*h + 30 = 0. Let q be (-6)\/k + 26\/10. Solve q*w + 5 = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -69 + 37 - u + 38. Let n(g) = g**3 + 4*g**2 + 4. Let k be n(-4). Suppose 30 = 2*d - 0*d + 3*h, d = k*h + 4. What is c(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -190, -285, -380, -475, -570?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24471*l**2 + 130 + 12238*l**2 - 75 - 55 - 1488*l + 12232*l**2 + 1488*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 200 = 16*o. Solve -j - 5*u = -2*j - 15, 5*j = -o*u + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n - 68. Determine j(-18).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.6 - 9.6. Which is the fourth smallest value? (a) 3 (b) 4\/3 (c) -1\/2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5779 - -5812. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 + 3*u. Let d be m(3). Let g = d + -62. Put 0, g, -9 in decreasing order.\nAnswer: g, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120500, 241011, 361522, 482033, 602544?\nAnswer: 723055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 5*g**3 + 101*g**3 - 17*g**3 - 8*g**3 - 22*g**3 - 21*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjgjmokumkojojjjj. What is prob of sequence oj?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4718.33 less than -2523033.2?\nAnswer: -2518314.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-1404)*-13*1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28543200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + -0.2. Let m = 1407 - 1406. Which is the smallest value? (a) 4 (b) x (c) m (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t = -1 + 59 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 17. Is o(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2 = 2*f, 2*f - z = 3 + 7. Suppose y + 14 = 2*y. Solve -2*m + f + 6 = 0, 3*q = m - y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -225, -1674, -5597, -13230, -25809, -44570, -70749, -105582?\n\"Answer: -206*p**3 - p**2 - 4*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*a + 25 = 2*t, 0 = 2*a. Let f = 11 - t. Let q = -3 + f. Solve -3*d = 2*n - 22, -2*d - 3 = d - q*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from {g: 2, a: 2, i: 4, p: 11}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181559*n - 74 = 181561*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(2299)*6*2*4 + -1)**2.\nAnswer: 1056*sqrt(19) + 5296897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y)\/y)**(3\/4)\/(y**2\/y**(1\/3)) assuming y is positive.\nAnswer: y**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -38.5. Let x = t - -22. Let i = -127 - -132. What is the second smallest value in 0.3, -10, x, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 3015*p**2 + 26916*p + 23904.\nAnswer: 3*(p + 1)*(p + 8)*(p + 996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72756361 - -72756273.0000025. Let o = -88 - n. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27) + 43\/(-9). Let n(u) = u**3 + 5*u**2 - u - 2. Let w be n(f). Suppose w*v - 2*v = 0. Solve b + 3*b + 4*a = 16, v = -4*b + 4*a - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 347, 520?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 24\/9)*-3. Suppose 2*i + x*b - 4 = 0, -i + b + 0*b - 2 = 0. Is 1\/5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-8)\/36*-6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (sqrt(135) + (2*(sqrt(135) - (sqrt(135) + -2*sqrt(135))) - sqrt(135) - sqrt(135)))\/(sqrt(3) - sqrt(48) - 1*sqrt(432)).\nAnswer: -3*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6 - 0. Let x(a) = 2*a**2 - a. Let y be x(-2). Suppose 2*m = 5*d + y, d = z - 1. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 41, 56, 73, 92?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:15 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 237 + 377 - 603. Let g(o) = -o - 1. Give 3*g(u) + n(u).\nAnswer: -3*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/(x**4\/x*x))\/x)))\/x**(-6))\/(x\/(x\/((x**(-1\/4)\/x)\/x)))**(-37)*(x**(-1\/3)\/x**(1\/2))\/(x*x\/x**(-1\/10)*x\/x**(1\/4)) assuming x is positive.\nAnswer: x**(-1274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.78, 1\/2389 in descending order.\nAnswer: 7, 1\/2389, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 24 = 3*k, -4*p = -p. Suppose -k = 3*o + o. Put 3, o, 2 in decreasing order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -6 (c) -4\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9621011, 2\/7, -0.5, 2 in increasing order.\nAnswer: -9621011, -0.5, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013 - -10010020?\nAnswer: 10002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 6*r**2 + 6*r + 5. Let a(m) = 4*m - 3. Let g be a(2). Let t be k(g). Let u(s) = -s**2 + 10*s + 5. Let i be u(t). Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 7*g + 6*g - 22 = 0, -5*y - 5*g = -10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.063745 * 0.7\nAnswer: -0.0446215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8745163 divided by -1949?\nAnswer: -4487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 19. Let m = 0.064 - 4.064. What is the second biggest value in t, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 + 74*x + 420 = 0.\nAnswer: -30, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -261*c - 42521 + 43043. Factor 16\/19 - 2\/19*y**3 + 14\/19*y**c - 28\/19*y.\nAnswer: -2*(y - 4)*(y - 2)*(y - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 2, -739.2, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2869\/5 + 574. What is the closest to 3 in a, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + z - 29 = -0*z, 3*l - 4*z - 17 = 0. Suppose 4*t - 9 - l = 0. Solve 2*f + 9 = 3*n - t, 4*f + 22 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 100. What is the remainder when 57 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147786 - k**2 + 443368 - 147790 - 147792.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96906992 = 14*z - 6*z. Let f = z - 30313374. What is f rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.189595 centuries to millennia.\nAnswer: 0.4189595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 10:44 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 8 = -4*q. Let k = 242 - 241.9. Let u be 18\/(-48)*2*(-16)\/(-42). Which is the second smallest value? (a) k (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 4 = c. Let n be 6 + c\/((-15)\/10). Solve -n*k + 3*w + 2*w - 7 = 0, -w = k - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - t + 11 = -2*p, -p - 19 = 3*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 17. Let p be s(-8). Solve 3*k = p, -c = -5*k + 1 + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -61. Solve 2*b = 3*s + 4, 3*s - 5 = -3*b + m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 26976124?\nAnswer: 269761240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - p**2 + 5*p**2 + (-2*p + 4*p - 3*p)*(-3*p + p + 3*p) + (-2 - 3 + 3)*(-4*p**2 + 2*p**2 + 0*p**2).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253762604 to the nearest integer?\nAnswer: 15930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 > -254\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*-3*(5 + (1*2*sqrt(1377) - (-2*sqrt(1377) + 5)))*-1.\nAnswer: -216*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/6)\/((-595)\/(-255)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.048428 - 0.25833. Round a to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -4*i + 5*k + 50, -3*i + 4*k = 9. Let v(w) = 7*w - w**3 - 5 - 2 - 5*w**2 + 0. Is v(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 + -1247 - 3*18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232 + 20312032?\nAnswer: 20303200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -11. Let m(i) = -4*i**2 - 10*i. Let o(b) = -3*b**2 - 7*b. Let p(t) = 12*t + 7. Let q be p(0). Give j*m(g) + q*o(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:40 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 275030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34025212 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 650 = -190. Let x be ((-1)\/50)\/((-23)\/t). Let f = 0 - 1. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let k be (105\/(-378))\/(20\/(-48)). What is the closest to l in 3\/5, 0.03, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599.5821m to millimeters.\nAnswer: 599582.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 5819600*c**3 - 1693398847160*c**2 - 6773525553600*c - 6773502275280.\nAnswer: -5*(c + 2)**2*(c + 581958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*c + 2*y, -45*c = -43*c + 3*y + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46101 or 36159?\nAnswer: 46101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.19634 - -0.2.\nAnswer: -68.99634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1698306 less than or equal to -1698283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1c4 (base 16) to base 10\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/60 - 3\/6. Suppose 0 = 4*l - v + 7 - 18, 2*l = -4*v - 8. Suppose l*b + 13 = t, -b - 2*t + 6 = -0*b. What is the closest to 2\/3 in f, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.46 times -3565?\nAnswer: -8769.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*i + 18, 13 + 1 = 3*m - 2*i. Suppose -5*z + 2*f + m = 0, -2*z - 7 = -4*f - 3. Let x = 5 - z. Solve -x = -3*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*s**3*t + s**3 + 44983*s**2 + 2025*s*t - 2*s + t**2 + 1 with respect to t.\nAnswer: 7*s**3 + 2025*s + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948, -6518, -16708, -31512, -50924, -74938?\nAnswer: -103548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5279?\nAnswer: 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + b)*(-2 - 4 + 4)*(0 - 2 + 3).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 509 + -339. Let i = 170.00299 - c. Round i to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12036514*y**3 - 2*y**2 + 7219*y - 481 wrt y?\nAnswer: 72219084","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 41120580854 - 41120580854.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - 5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*m + 4)*(4*m - m - 2*m + (-8 + 7 + 8)*(1 + 2*m - 1)) to b*m**2 + r*m + c and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95559 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 * -0.1\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 14, t: 4}. Give prob of picking 1 m and 3 t.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 316251.944 to the nearest one thousand.\nAnswer: 316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*u - 88*u = 58 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*n**2 - 17*n**5 - 60*n**2 + 12*n**5 + 0*n**5 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/5 + 248534*q**2\/5 + 497061*q\/5 - 745596\/5.\nAnswer: (q - 1)*(q + 3)*(q + 248532)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -703 (c) -8\/9 (d) 0 (e) -4 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -55, 4, -0.4404?\nAnswer: -0.4404","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11130.\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5553 + -5553.006. What is the biggest value in -0.4, p, 1\/69?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358 - (4\/14 + 16\/(-56)).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23646, -47297, -70958, -94635, -118334, -142061, -165822, -189623?\n\"Answer: -k**3 + k**2 - 23647*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/6908 and -17\/327847?\nAnswer: 2264767076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 1699*u - 5 = 1704*u, 2*j = -u - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -158, -17, 280 in decreasing order.\nAnswer: 280, -7, -17, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/27))**(2\/5)*((u**(-3\/8)\/u)\/u*u)**(-9) assuming u is positive.\nAnswer: u**(13397\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -18 (c) 257 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3496*y = 12546*y + 506800 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6648 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(833) - (-4*sqrt(833) + sqrt(833))*5) + 1.\nAnswer: 4 + 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -52, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/17 in 0.6, 35, 47?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 88\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 10*t**3 - 1\/20*t**5 + t**4 - 149*t + 32*t**2 + 2. Factor x(q).\nAnswer: -(q - 16)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2 and -41\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 3*f - 3*l - 90, 5*f = -4*l + 142. Suppose 0 = -f*h - 20*h. Solve 10*o + 10 = -h*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 368 - -7?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47 times -12014.7?\nAnswer: 17661.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-1 - 1 + 3) - 4 + 1 + 4 + 5 - 3 - 1 - 2 - 4 + 0)*(-4*s + 3*s + 0*s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76307\/30 - -2546. Calculate the common denominator of b and -68\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1573 - 698 - s**2 - 578 - 450 as w*s + z*s**2 + o and give o.\nAnswer: -3299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - 2*b**2 + 2. Let w = -21 + 24. Let n(f) = 5*f**3 + 8 - 14*f**w - 6*f**2 - 1. Calculate -7*m(l) + 2*n(l).\nAnswer: 3*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 45 = -j + 5, 3*j = -12. Calculate the remainder when 46 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 142 = -3*i, 15*s + i = 16*s - 36. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**2 + 3*f**2 - 2*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33050338.\nAnswer: 2, 853, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 14*q - 90. Suppose 12*t = 9*t + 9. Suppose 5*v = t*d + 159, -8*v - d + 147 = -3*v. Is v < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r**2 - 192777 + 192777.\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*a**2 + a**2 + 44*a**2 - 2*a**2 + 2*a**2 - 83*a + 83*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/64)\/(-6*10\/(-555)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*o**2*x**3 + 21*o**2*x**2 - 54*o**2 - 14*o*x**3 - 2*x**3 wrt x?\nAnswer: 132*o**2 - 84*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 25 + 205. Let v(f) = f**2 - 22*f - 19. Let k be v(c). Let o = k - -74. Solve o = 2*t - 0*t + 5*j, 3*j - 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3971 smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 g when four letters picked without replacement from wwwgg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 3. Let z(s) = -s + 4. Let c be (8\/6 + -2)*-9. What is c*f(w) + 4*z(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 2262?\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + y - 438, 22*l = 19*l - 2*y + 336. What is the remainder when 335 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 47, -0.3, 519 in descending order.\nAnswer: 519, 47, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(-9\/10)\/(w\/(w\/w**(-2\/17))*w**(2\/15)) assuming w is positive.\nAnswer: w**(149\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(190)\/sqrt(40)*2.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 2*p**2 - 3*p. Let b(s) = -s**3 + 23*s**2 + 15*s**2 + 4*s - 35*s**2. Determine -2*b(i) - 3*h(i).\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2730 + -1625. Calculate the highest common divisor of 255 and l.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263.59 - -265. Let k = -84 + 84.82. Let l = k - y. Round l to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12865 + -7444. Suppose -18*i = -p - 915. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(255)\/(sqrt(50)\/sqrt(10)))\/(sqrt(33)\/sqrt(704))*-4.\nAnswer: -160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 26. Let b(m) = 9*m**2 - 4*m + 4. Let l(f) = 4*f**2 - 2*f + 2. Determine w*l(c) + 6*b(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukeueeukeekeuee. Give prob of picking 1 u and 2 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 - -20?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20\/150*(-144)\/12*52\/(-8)\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -2*g. Let t be (-6)\/4*(-88)\/12. Let x(z) = 9*z - t - 4*z**3 + 2*z**3 + 5*z**2 + 11. Let l(c) = -c**3 + 3*c**2 + 5*c. What is g*x(f) + 5*l(f)?\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a day in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/6)\/(-1))\/(6\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1244.6 - -1277. Which is smaller: p or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/19, -29, 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177193, 354409, 531651, 708931, 886261?\nAnswer: 1063653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 8. Let x be n(9). Let c = 98 - 102. Let g = x - c. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 5, 7 in increasing order.\nAnswer: -3, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900148639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16123.22 and -0.3816?\nAnswer: 16122.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62700416198 from -43.1.\nAnswer: 62700416154.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 212?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262 - 123. Suppose -131 = -5*v + a. Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzc when three letters picked without replacement from znrnrczcr?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*k = 175, 5*h - 273 = -2*k + 148. What are the prime factors of h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -5*a**3\/3 - 5*a**2\/2 - a - 22. Let f(i) = 3*i**2 + 3*i. Let h(v) = -7*f(v) - 4*m(v). Determine h(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 - -7.6. Let n be (0 + 1\/15)*(-85)\/(-34). Let j = -7 - -13\/2. What is the third smallest value in j, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-1)\/(((-20)\/(-3))\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 61 = -5*v, -y - 2*y + 27 = -2*v. Let u be (-6)\/(v\/10) - 0 - 5. Suppose 5 = -5*d + 25. Solve -d*p - 14 = -2*g, u*g - 3*p + 9 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30f (base 16) in base 15?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -32, 0, 58, 148, 276?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14) + (-25)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281840.82 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*22\/55*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 203. Let y be z(-40). Let b be 51\/(-187) + y\/(-11). Solve -3*c - x + 0 - 3 = b, -5*x + 4 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/5*6\/(-50). Let u(j) be the second derivative of -1\/3*j**4 + 0*j**2 + b*j**6 + 7\/10*j**5 + 0*j**3 + 0 - 2*j. Factor u(t).\nAnswer: 2*t**2*(t + 1)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640109939?\nAnswer: 1307, 2019977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5914*u**4*z**3 + 2*u**4 + 15*z**3 + 48*z - 5 with respect to u.\nAnswer: 23656*u**3*z**3 + 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 197. Let q(j) = -5*j - 986. Let a(v) = -11*f(v) + 2*q(v). List the prime factors of a(0).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/40 + 3 + -1. What is the second biggest value in -1.4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -851665517948.\nAnswer: -851665517948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -40. Let o = x - -6. Suppose -2*b + o = 5*d - 43, -4*b + d + 176 = 0. Calculate the least common multiple of b and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/162*(-81)\/(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -8 + 4. Let k(p) = 17*p - 5. Let g(w) = -12*w + 1. Let q(r) = 14*r - 1. Let t(z) = -5*g(z) - 4*q(z). Calculate f*k(b) + 9*t(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 13}. What is prob of sequence mm?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256.000000074 - -256. What is z rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 - 208*p**3 + 1492*p**2 - 3768*p + 3168 = 0.\nAnswer: 2, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-38)\/12 + 3)*3. Let z(m) = 2*m - 2. Let c(p) = -p + 1. What is v*z(t) - 4*c(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -6, 5, 3 in ascending order.\nAnswer: -6, 3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-12)\/4 + 0). Solve 9*n - f*n = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 23*j + 22*j + 279 = 0, 2*r - 546 = 2*j. What is the lowest common multiple of r and 24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60.6 and 619.\nAnswer: 679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 182*k**2 + 192*k - 729. Let a be s(92). Solve 5*z - w = 25, -2*z + 3*w - a*w = -10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1475929397 and -3.\nAnswer: -1475929400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-252)\/594*(9385 + -1). Let k = 3986 + o. Calculate the common denominator of k and 49\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {r: 2, h: 2, n: 1, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 121 (b) -0.5 (c) 15 (d) -0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 53*m**5\/20 + m**4\/6 - 7*m**3\/6 + 13*m**2\/2 - 13*m. Let o(n) be the first derivative of l(n). Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 4*h + 2. Let t be ((-9)\/1)\/((-6)\/4). Does 11 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:30 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.06, 2278, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 67. Let b be u(18). Let l(y) = 6*y - 1. Let q be l(b). Which is smaller: q or 149\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 - 4. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v + 51*v**2 - 528*v - 184*v**2 + 18*v**2 - 97*v wrt v.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-10))\/(46\/230)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.31 - 0.01. Let v = -2467 - -2469. Which is the fourth biggest value? (a) v (b) u (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 183?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110000101001001010110 (base 2) to base 14\nAnswer: 2d6c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -3, -5, -4, 17, -37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 223?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-693)\/(-18))\/(1\/(-12)). Let o = q + 474. What is the remainder when 25 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158 plus -74284231.914?\nAnswer: -74282073.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 3*n + 2. Suppose -2 = w + 1. Let m be s(w). Suppose -m*q - 3*q = -30. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -3 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*n + 105*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - 0 - -90 - -1 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30455, -61023, -91591?\n\"Answer: -30568*h + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45686*l - 20 = -4*r + 45682*l, 0 = -4*r + 2*l + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.057 or -61235\/12?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -622, -2188, -4798, -8452?\n\"Answer: -522*x**2 - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*q - 5)*(-q + 4*q - 4*q + (-2 - 2 + 5)*((1 + 0 - 2)*(10 + 27 - 114) + 3 - 6 - 9)*(-4*q + 2*q + 0*q)).\nAnswer: -262*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100000110 - 1011110000?\nAnswer: -1010111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-12))\/(2\/(-6)). Let q = 15 - 11. Suppose 5 = q*h - 7. Solve 6*f + 10 = f, d*w - h*f - 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446832879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 400811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/5 + 1076*x**2 + 10766*x\/5 + 5384\/5 = 0. What is x?\nAnswer: -1, 2692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/10)\/(s*s**(-3\/2)\/s)*s**0\/((s**(-7)*s)\/s) assuming s is positive.\nAnswer: s**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/10 + 241*c**5\/5 - 71*c**4\/4 - 11*c**3\/6 - 16*c - 129. Find the third derivative of s(n) wrt n.\nAnswer: -72*n + 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 72*g + 534. Determine i(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -140, -158, -188, -230, -284?\n\"Answer: -6*l**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Let n = -216.771 + 216.671. Which is the smallest value? (a) f (b) -9\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 609362614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13917, 13754, 13467, 13044, 12473, 11742, 10839?\n\"Answer: -2*o**3 - 50*o**2 + o + 13968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1946895.\nAnswer: -3\/648965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 76. Let j(h) = -1866*h. Give y(j(a)).\nAnswer: -3481956*a**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -318, 1641?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(1 + (-7)\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003101 - -3100103?\nAnswer: 10103210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 11*h**2 + 15*h - 11. Let t be b(12). Let z = t - 22. Let d be (25\/z - 1) + 18\/27. Calculate the greatest common divisor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 68176*c**2 + 613260*c.\nAnswer: 4*c*(c - 17035)*(c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 229, 453, 679, 907, 1137, 1369, 1603?\n\"Answer: g**2 + 221*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54972120 - -54972069.000042. Let o = 11 - 62. Let n = t - o. What is n rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -367, -543, -715, -883?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19888407 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -530*w**3 - 3*w**2 - w + 12. Is y(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5884404 divided by 1961468.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2\/11*u**2 - 2\/11*u**4 + 2\/11*u**5 + 0*u + 0 - 2\/11*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 5, 4, -3, -20005 in increasing order.\nAnswer: -20005, -3, 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -2 - (-22)\/8. Let p = -3 - -2.9. Which is the nearest to p? (a) 0.3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 + 400?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298 and 297553?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 5?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 52*k + 36. Determine s(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524205556 to the power of 1\/2, to the nearest integer?\nAnswer: 22896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) - (sqrt(68)*2 + sqrt(68))) + ((2*sqrt(68) + sqrt(68))*6 - sqrt(68)) + sqrt(68))\/(-4*(sqrt(36)\/sqrt(3) + sqrt(12))\/sqrt(3)) + 5.\nAnswer: -11*sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8886560 by 1.\nAnswer: -8886560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3132792079, 3132792081, 3132792083, 3132792085, 3132792087, 3132792089?\nAnswer: 3132792091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/2 + -10 + 9. Let s be m*8\/(3 + -1). What is the first derivative of -1 - u + u - s*u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2654123 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/(-6) - (-56)\/(-84) - 1068\/(-534).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/9254 (b) 3 (c) 5 (d) 2\/7 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 353 = -4*y, -4*y + 160 = 5*j - 431. Let c = j - 71. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3572648\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 111.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let z = 35 - -55. Let i(y) = -z*y - 91*y + 175*y. What is s(i(j))?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1932\/11 + -47897\/264. What is the common denominator of j and -1 - -1 - (1435\/(-180) - -6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/40 and -81\/1952.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -75, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 964 + -955 - (14 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13a68 (base 13) to base 7\nAnswer: 212443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 5*m - 2311 = 19*g, 3*g + 2*m = 6882. Let j be -3*(0 + -2)*-2. Is (g\/j + 1)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 58 - 48 = 74 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00159 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -97. What is the greatest common factor of 132 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144685 divided by -20\nAnswer: -28937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 29.6514 millilitres?\nAnswer: 0.0296514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 105.5. Let d = 0.2 - 0.2. Let o = d - -0.1. What is the second smallest value in 3, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, -5\/3, -0.1, -0.5, 1.746, 3, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 24*x + 112. Let b be z(6). Solve 2*k + 1 = c, b*c + 29 = -k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:53 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 21161746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 57 - 73 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s**3 + 7*s**3 - s + s**2 - 2*s to the form a + n*s**3 + q*s + l*s**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2798*q**2 - 7*q. Let n(v) = -v + 11. Calculate s(n(d)).\nAnswer: 2798*d**2 - 61549*d + 338481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u**5\/19 - 11358*u**4\/19 + 30902*u**3\/19 - 24418*u**2\/19 + 1632*u\/19 + 3256\/19 = 0. What is u?\nAnswer: -814, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36877100093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33*-1)\/(24\/(-16)). Suppose 3*y = 2*r + k, -6*y - 5*r = -y + 5. Solve y*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 7*b**6\/360 + b**5\/60 - b**4\/24 - 62*b**3\/3 + 259*b. Let d(g) be the second derivative of u(g). Calculate d(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3495337 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b68 (base 13) to base 16.\nAnswer: -3b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.9 + -14.5. Let a = 17 - k. Round a to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.006. Let q = -1921.006 - -1921. Let j = i - q. Which is the nearest to j? (a) 1 (b) -3\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 31*t**2 + 37*t - 63. Let k be f(-27). Suppose -5*s - 4385 = -5*c, -3*s + 104 - k = -2*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 - 2216*t - 15561 = 0. What is t?\nAnswer: -7, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lolullullluuluuluw. Give prob of sequence owu.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176*p**3*w**2 + 204*p**3 + p**2 + 1345*p + 3719*w**3 - 1 wrt w?\nAnswer: -352*p**3*w + 11157*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/(x*x**(-9))*(x*((x*x*x\/(x*(x*x**(-3\/2)\/x*x*x*x*x)\/x)*x)\/x)\/x)**(-29))**(-36))**(-21\/2) assuming x is positive.\nAnswer: x**(-2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((12\/(-587))\/(-1)) + (-13259)\/79554?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38049, -76119, -114203, -152295, -190389, -228479?\nAnswer: -266559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021439 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 4. Let c(s) = 10 - 2*s + 11 - 23. Give 5*c(d) + 3*g(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(17\/8 - (-57)\/(-456)). Which is smaller: o or -1132?\nAnswer: -1132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33683 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - (-19 + -54)) + 23\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 50 = 5*k, 5*i + 5*k - 52 = 6*k. Solve -4*n = -6*n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 31*g + 182. Let u be n(-23). Let j be (u - (-52)\/(-4))*(3 + -2). Which is the third biggest value? (a) j (b) -2 (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*q + 36*q + 30*q to n + r*q and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**10*j**(5\/2)\/j assuming j is positive.\nAnswer: j**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 2, m: 1, f: 4, b: 1}. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 0)*3\/(-3). Suppose -8*x + 3 = -n*x. Suppose 4*s + 11 = 5*p, -p + 2*s + 0 + x = 0. Solve -5*v - p*u - 5 = 0, 0*v - 4*u = -2*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -1081\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -30 - 421569*u - 495135*u - 515302*u. Let f be c(-5). Round f 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 2*p**4 - 1869*p**3 - 13344 wrt p?\nAnswer: 8*p**3 - 5607*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r. Let h = 55 - 53. Let x(b) = 5*b - h*b - 8*b. Calculate s(x(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*g - 2*g - 2*g)*(-2 + 4 - 1) - 2*g + 4 - 4 + (3 + 2 - 4)*(-g + 2*g + 0*g) in the form d*g + r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -14.9. Let w = a - -2. Is -0.07 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82012.76 + -42?\nAnswer: 81970.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -22*x. Let z(n) be the second derivative of 2*n + 0*n**5 + x*n**2 + 0*n**4 - 5\/6*n**3 + 0 - 1\/30*n**6. Find the second derivative of z(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65366 * 0.1\nAnswer: -6536.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - 6\/60*510.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 74, 1\/4, -0.138, -0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55216 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 1 x when three letters picked without replacement from {n: 1, f: 1, z: 2, w: 1, d: 1, x: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = 4. Suppose -5*f - c = -10 - 2, -r*f = 5*c. Solve k + 1 = 4*j - 3*j, -4 = f*k - 2*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 81699487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, c: 5, p: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 2*f**2 + 1. Let q(m) be the third derivative of m**3\/6 + 3*m**2. Let d = -7 + 5. Let n = d + 3. Determine n*p(x) - 3*q(x).\nAnswer: -x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818515 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 2*t = 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162 + 514?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0552 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0029 + -0.003. Round m to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6874775.\nAnswer: -4\/6874775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 1739 (c) -0.0425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1117.\nAnswer: 5\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.776 and -5?\nAnswer: -38.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 823.8 - 768.8. What is the smallest value in p, 14, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/(-210) - 2\/7. Let p = 14 + -13.8. Which is the closest to 0? (a) p (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2138742.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 6*t**2 - 4*t**2 + (2*t**2 - t**2 + 0*t**2)*((-4 + 0 + 2)*(1 + 9 + 6) - 4 + 3 + 6) in the form k*t**2 + u*t + a and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12091?\nAnswer: 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1368 + -1368. Which is the closest to -27.1? (a) -0.4 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 361 or -1?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2 - 3 + 3)*(-3*d - 11*d - 4*d) - 4*d + 2*d + 4*d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58394508?\nAnswer: 2, 3, 4866209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b + 1. Let l(d) = -8*d**2 - 6*d + 24. Determine 12*j(s) - 2*l(s).\nAnswer: 4*s**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0849? (a) -1 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 3*f + 4*f + (3 - 3 + 2*f)*(-2 + 0 + 1) + 4*f + 3*f - 6*f)*((-6 + 3 + 2)*(-4 + 3 + 2) - 81 - 5 + 4).\nAnswer: -498*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3 and -197\/728790?\nAnswer: 728790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4\/5 (c) 24611 (d) 12 (e) 0 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/6, -3.2, -1.76 in decreasing order.\nAnswer: 5, 1\/6, -1.76, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(65) + 4*-3*sqrt(65))\/(2*(sqrt(5) - sqrt(180))).\nAnswer: -22*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3630)\/4235*224\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33290.4572 * -4.\nAnswer: 133161.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:00 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 38 = -w - 3*w, -20 = -2*w + 2*l. Let h be (-1 - 0)*34\/(-2). Suppose -u + 80 = h. Calculate the greatest common divisor of u and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -60a6?\nAnswer: -60a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 - 12*p**2 + 2*p + 3. Let t(i) = -20*i**3 - 36*i**2 + 4*i + 9. Suppose 4*u + 119 = -3*u. Let f(m) = u*g(m) + 6*t(m). Calculate f(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (2 - -1 - 9) - (3225 + -3219)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 7 (c) 3\/10 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w + 12. Let a(b) = b - 1. Let t(x) = 3*x - 4. Let y(v) = -7*a(v) + 2*t(v). Give 2*k(j) + 27*y(j).\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 + 8. Let n(h) = 35*h**3 - 13*h**2 + h - 48. Calculate -n(o) - 6*r(o).\nAnswer: -29*o**3 + 19*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*l + 12 = -4*v, 4*v + 6 = -2*l. Solve v = 7*c - 6*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g - 7. Let o be x(-7). Suppose -o + 28 = b. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f - 0. Let q be ((-2)\/(-28)*4)\/(f\/(-7)). Let p(s) be the second derivative of -s**4\/12 - s**3\/6 + s**2\/2 + s. Calculate p(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + 1 + sqrt(832) + -5 + 5*((sqrt(1573) - (sqrt(1573) + sqrt(1573) + -2)) + sqrt(13) + sqrt(130)\/sqrt(160)))**2.\nAnswer: -163*sqrt(13) + 345461\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3572177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.591, 3\/5, -2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*y - 357 = 97*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-10)\/12))\/((-720)\/900).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3 + 26664*z**2 + 177582132*z - 2134826928 = 0.\nAnswer: -13338, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmtqqqtttbmttttq. What is prob of sequence btt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 561251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:46 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/5 + 456*x**3\/5 - 656158*x**2\/5 + 3262476*x\/5 + 1830640 = 0 for x.\nAnswer: -700, -2, 7, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 27. Let l(r) be the second derivative of r**3\/6 + 9*r**2\/2 - 24*r. Let b be l(-6). What is the nearest to x in b, -0.2, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 6*q + 178 - 3\/2*q**2. Let i(w) = 6*w - 13. Calculate 4*i(o) + 9*k(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {f: 1, c: 1, i: 2, d: 1, a: 2, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -47. Calculate the remainder when 58 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 12.\nAnswer: -29\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2 - 7\/(-3)). Suppose 8*r = 3*r + 25. Let d = r - p. Is 2 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000340525122 to six dps.\nAnswer: 0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -181 + -76971?\nAnswer: -77042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582 < -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626169 - 309724 - 1829160 - 1211175 = 23686*a for a.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 3)*(-r + 0*r + 0*r)*(r + 1 - 1 + (-3 - 4 + 3)*(0 - 2*r + 0)) in the form t + l*r + j*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6256.2, 5, -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.018 - 176.982. Let f = i - -186. Which is the nearest to 4? (a) -0.1 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) -1 (c) -1\/5387 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 76\/31?\nAnswer: 76\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532540 divided by -9.\nAnswer: 532540\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 18. Let g be d(-7). Let u = -0.9 - -1. Let y = u - 0.2. What is the closest to y in 1, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1497.2147 to 0 dps.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587*h - 52 = -1600*h. Solve 4*s + 16 = 0, -10*f + 9*f - h*s - 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117 and 0.18.\nAnswer: 21.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**3 + 16*j - 16. Let o(a) = 4*a**3 - 13*a + 16. Calculate -6*l(n) - 7*o(n).\nAnswer: 2*n**3 - 5*n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.856 rounded to the nearest ten?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5603, -1\/5, 22, -2\/7.\nAnswer: -2\/7, -1\/5, 22, 5603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0 (c) 3\/8 (d) 13 (e) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 5)\/(-2) + 2. Suppose 0 = -v + 5*m - 25, -k*m = -v - 2*m - 15. Solve v = -2*c + 1 + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040838 to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.1117781 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 s when four letters picked without replacement from svsvsvsvvsssv.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -571, -5, 3 in ascending order.\nAnswer: -571, -21, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*c + 16, -8 = 4*i - 2*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/6 + 10*o**3 - 114*o. Find r such that j(r) = 0.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**5 + 136628*l**4 - 1093184*l**3 + 3279712*l**2 - 4373056*l + 2186560 = 0.\nAnswer: -34165, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 3. Suppose 5*t = 25 + 5. Let p be q(t). Let d(k) = k**3 + 9*k**2 - 10*k - 5. Let v be d(-10). Sort 1, p, v.\nAnswer: v, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 9, o: 10}. Give prob of sequence ueuo.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 0.04 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3734 + 667*x - 352*x - 314*x - 3734.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:53 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/5, -1\/4, -5, 2874, 12\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1.68, 0.1, 58, -1, 0.4?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 8) to base 14\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*i - 26 = -25, -4*i = 2*b - 4. Solve 4*d = 2*m - 0*m + 8, 3*d - b*m + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1818, 3643, 5468, 7293, 9118, 10943?\nAnswer: 12768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 2*m**2 + 2*m**2)*(4773 + 765 + 3008 + (0 + 2 - 1)*(1 - 5 + 2)) in the form c + b*m + w*m**2 and give w.\nAnswer: 17088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnt when three letters picked without replacement from xxxtnenxtzxxxx?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322456 divided by 3119?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 - (-7 - (-19 + 13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 8447631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-1))\/((-4)\/(-144)*18)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a + 51*a + 49*a - 150*a + 101*a**2.\nAnswer: 101*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*j = -395*j - 102220. What are the prime factors of j?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (74\/1)\/((5\/1)\/20)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 + 796*r**4 + 4018*r**3 + 4844*r**2 - 3208*r - 6448 = 0. What is r?\nAnswer: -2, 1, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 36. Let n(o) be the third derivative of -o**5\/60 + 7*o**4\/12 - o**3\/3 - 3*o**2. Let d be n(r). Solve 5*y - d - 23 = 4*h, y + 5*h + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/8, -0.0174, -310, -0.1 in increasing order.\nAnswer: -310, -2, -0.1, -0.0174, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1216 and 40?\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(200) - -5*sqrt(200)) + 0 - (sqrt(3872) + (sqrt(20)\/(sqrt(20)\/sqrt(2)))**2).\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49, -106, -233, -430?\n\"Answer: -35*y**2 + 48*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55324450 is divided by 1398?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 3\/7, -2, -4\/7, -7, 4\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110 + 100101?\nAnswer: 10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 11, s: 7, h: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11.169 * -7709\nAnswer: -86101.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, 3422, 5, -2, 0 in decreasing order.\nAnswer: 3422, 5, 1, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4)\/d**(-2\/27))\/((d\/(d**(1\/11)*d))\/d*d*d*d\/d**17) assuming d is positive.\nAnswer: d**(18907\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*(-275)\/(-165)*(-18)\/60.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16*q**(-29) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-6)*8\/3. Let o = -7 + i. Let w be -1*o\/(-6)*0. Solve 1 = -j - w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1948*n**4 - 1013.\nAnswer: 7792*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1913532 and 1.9?\nAnswer: 1913533.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -3. Let q(a) be the third derivative of a**5\/10 + a**4\/8 - a**3\/6 + 157*a**2 - 1. Let c(l) = -5*l**2 - 2*l + 1. Determine o*c(k) + 4*q(k).\nAnswer: -6*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -213\/2 + 1\/2*z**2 + 106*z.\nAnswer: (z - 1)*(z + 213)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207.2 + -207. Sort -5, f, 15\/13.\nAnswer: -5, f, 15\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108 or 6?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*z**2 - 82*z**2 + 9*z**2 - z + 10*z - 6*z - 38*z**5 wrt z.\nAnswer: -2280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 14*c**3 + 34*c**2 + 34*c + 12.\nAnswer: 2*(c + 1)**2*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1929568 and 11288.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 8. Let w be d(10). Let l be -1 + 3 - (-2 - w). Solve 2*c - 4 = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 - 5744582716?\nAnswer: -5744583037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:25 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203131343?\nAnswer: 41, 4954423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 3, -10379610, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 2*f = -3*u + 5 - 21, 4*f - 15 = -4*u - 47 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*k = 5 + 47, 0 = 3*m - 5*k - 45. Solve -q + m = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2757\/13618 or 1?\nAnswer: 2757\/13618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 28*b**3\/3 - 12*b**2 + 12. Find the second derivative of s(t) wrt t.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-12)\/(-14))\/((-32)\/1456*-338)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3652 in 39, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453691609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/59)\/c)\/c*c\/c**(-5\/4))\/(((c*(c*c**(2\/11)\/c)\/c*c)\/c*c)\/c**(-10)) assuming c is positive.\nAnswer: c**(-28291\/2596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8847542ng in tonnes?\nAnswer: 0.0000000000000008847542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572913 is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/7 + 14302*n**2\/7 - 2473824*n\/7 + 351360 = 0.\nAnswer: -7320, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/37))\/h*h)\/(h\/(h**(-12)\/h)))\/((h**(6\/11)\/h)\/h*h)**(-3\/26) assuming h is positive.\nAnswer: h**(-137549\/10582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 22 - 11 + 10*o - 3 - 4.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336 or 412?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12596 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3 + 3*u**2\/2 + 3*u + 3. Let v be h(-2). What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z**(-7)\/z)\/((z*z*(z**7\/z)\/z)\/z*z*z*z**(-1\/5))*z**3\/(z\/z**(2\/7))*z*z**1*z*z**(-5)*z*z assuming z is positive.\nAnswer: z**(-473\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Calculate i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 3, v: 1, x: 1, b: 5, q: 1}. What is prob of sequence xzq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 4, 2\/7, -114\/179 in descending order.\nAnswer: 9, 4, 2, 2\/7, -114\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a*a*a**19))))\/a)\/a*a*a**(-7)*a*a**(-1\/3)*a**17 assuming a is positive.\nAnswer: a**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1450 divided by 1\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 439743 - 3?\nAnswer: 439740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*z - 57*z + 5*i - 43, -i = 5*z - 71. What is the greatest common divisor of 2119 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 24532*p + 677046402.\nAnswer: 2*(p - 55197)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239 + -1676\/7. Let x = -3.2 - -3. Let a = x + 0.7. What is the nearest to 0 in a, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -757 + 2222. Suppose 0*g + g - h = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2170716*q - 17365734. Give k(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -71*p**2. Let m(k) = 33*k + 4. Let u(s) = -222*s - 27. Let l(f) = -27*m(f) - 4*u(f). Give l(w(r)).\nAnswer: 213*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let c(t) = 2*t**2 - 3*t - 1. Let n(h) be the third derivative of -1\/12*h**4 + h**2 + 0*h**3 + 0*h - 11 + 1\/30*h**5. What is b*c(i) - 3*n(i)?\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-7 - -8) + (-54)\/9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110012120 + -110?\nAnswer: -10110020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 11 (b) 0.2 (c) 1424 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -2710549.\nAnswer: 13\/2710549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 3.7. Let z(u) = -u. Let y be z(-3). What is the nearest to 2\/7 in 1, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*n + 18 = 0, 2*n = 4*c + 4*n - 14. Let o(i) = 408*i**2 + 15*i + 7. Is o(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 156*h**2 - 12*h - 7. Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 3. Suppose w + 6 = -p*s, w + 4*s - 5 = 4*w. What is the units digit of ((-1)\/(-3))\/((-1)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*8*((-16)\/((-1216)\/(-19)))\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7 - 1199*y + 20 - 463*y.\nAnswer: -1662*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 27 = -3*j + 3*y, 0 = -j - 2*y - 1. Let u = 12 + j. Suppose u = -b + 20. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**5 + 175*x**4 - 196*x**2 - 378077*x wrt x?\nAnswer: -20*x**3 + 2100*x**2 - 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173 + 9?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -10) + -7 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 20*j**4 - 18*j**3 - 2*j**2 = 0?\nAnswer: -1\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3564)\/(-330) - (14 - (0 + 2))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*z + 4689 = 0. Let y = -592 + z. Are y and -73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341318*k**3 + 241063*k wrt k?\nAnswer: 2047908*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 11. Let s be n(8). Let i = 5 + 35. What is the highest common factor of s and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.0344 + 0.0344. Put q, -0.4, -74 in ascending order.\nAnswer: -74, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/(6\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323351 (base 6) to base 2.\nAnswer: 10001111010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 - -11)) + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 3*n + 2. Let o be c(-2). Suppose -1405 = -p - 4*j, -5*p + 2*p + o*j = -4231. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -46, -117, -236, -415, -666?\n\"Answer: -2*j**3 - 6*j**2 - 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5369 divided by -2\nAnswer: -5369\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1286 - -17?\nAnswer: 129d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 4, q: 1, z: 4, u: 7, r: 1}. Give prob of sequence ruq.\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 7094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 60 (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a = -4, n + 3*a = 2. What is the nearest to -5\/3 in 0, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5 + 7 - 2 - 8*u. Let l(p) = 2*p. Determine s(l(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**7\/21 + 34*f**6\/15 - 18*f**5 + 130*f**4\/3 + 182*f**3\/3 - 294*f**2 - 8*f - 4. Find z such that k(z) = 0.\nAnswer: -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31881243673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 greater than 1079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*f = 14, 3*y + 3*f - 6 = 9. Let c(b) = y - 2*b + 7*b**3 + 5*b**2 - 6*b**3 + 4. Is c(-5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -483, 0, 0.3, 0.5, 0.01, -1, -2467\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -16, -3, 0.3, -6 in descending order.\nAnswer: 0.3, 1\/10, -3, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -570*g*w**3 - g*w**2 - 12*g*w - 4*w wrt w.\nAnswer: -3420*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(2*sqrt(2057) + -3)**2 + (1*(-4*(sqrt(2448) + 1) + -4))**2.\nAnswer: 1296*sqrt(17) + 6281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14987*c**3 + 97026*c wrt c.\nAnswer: -89922*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 7*u + 6. Let c be x(4). Let j(i) be the third derivative of i**5\/5 - 7*i**4\/24 + 5*i**3\/6 - 2*i**2 + 5. Is j(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 25*z**2 - 1334*z - 37361. Give x(-27).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -5)*12\/(-4). Let u be (4\/i)\/(68\/(-12)). Let k = -67\/136 + u. What is the third smallest value in -3, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2. Suppose 1 + 3 = -4*o. Let u = -2 - o. Give r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 - 190\/3*k + 2\/3*k**3 + 92\/3*k**2.\nAnswer: 2*(k - 1)**2*(k + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*i - 3*g, -3*i - 8 = 2*g - 32. Let f be -145 + (-3)\/6*0. Let l = -73 - f. What is the highest common factor of i and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119613812 * -0.1.\nAnswer: -11961381.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (160\/35 + 2 + -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133617 = 3*z + 5*r, 14*r - 89072 = -2*z + 10*r. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/21849?\nAnswer: -1\/21849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-7))\/(-6)*-3*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 256\/(8\/2). Suppose -m = -3*i + 3*a, -3*i + 7*i = -4*a + 52. What is the remainder when (-375)\/6*12\/(-15) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 3}. What is prob of sequence ux?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 3235508423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/7 + 10*q**3\/7 - 4*q**2\/7 - 40*q\/7.\nAnswer: q*(q - 2)*(q + 2)*(q + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 35 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (7 - (-72)\/(-30)). Let k be (-891)\/(-15) - (0 + 0). Let v = k + -59. What is the closest to 1 in b, v, 2\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-36)\/(-15)*15\/6 and (10 + -5 - -40)*1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8)\/((-7)\/(-546)) + -1 - 9\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3945\nAnswer: -15780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3686760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045413 rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18656579 times 0.2\nAnswer: 3731315.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -115736748 rounded to the nearest ten thousand?\nAnswer: -115740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*d - 2 + 72, d = -5*h + 40. Find the second derivative of -h*q**3 + 15*q**3 + 15*q - 7*q**3 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -706 - -2827\/4. Find the common denominator of q and ((-2)\/(-24))\/(2\/93).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-280)*10\/(-66))\/((-10)\/(-200)*8)\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/(-50) + (-3)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 2*k**2 - 5*k + 4. Let d be c(1). Suppose -2*f + 19 = -0*f - 3*h, -5*f + 3*h + 25 = d. Solve -f*x = 2*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 46014.5 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 26*d**3 - 391*d**2 + 82. Determine x(15).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-45) - 188\/(-36). Let m(w) be the first derivative of -1\/15*w**3 - 1\/20*w**4 + 0*w**2 - l + 0*w. Factor m(i).\nAnswer: -i**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -178 (b) -0.1 (c) -1\/2 (d) 8\/10309 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 + 2)*(-2*v - 2 + 2) + v + 3 - 3)*(-2*v**3 + 2*v**3 + v**3).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:17 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28785 divided by -2\nAnswer: -28785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 5*m**3 - 4*m**3 + (-6 + 5 + 3)*(0*m**3 - 4*m**3 + 2*m**3).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152360137 + -61.8332.\nAnswer: 152360075.1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(704) - (sqrt(704) + (sqrt(704) - sqrt(704)*-1)**2)).\nAnswer: -2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1589 = -3*s. Suppose 2*v = s + 203. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4197 - 2178 - 2517)*(3*c - 3*c - 2*c**3).\nAnswer: 996*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 917, -5, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300500 divided by -1445.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 + 170*z - 3*z**2 - 6 - 194*z - 6*z**2 - 14 - z**3.\nAnswer: -(z + 2)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddndddndnddnddndd. Give prob of sequence dd.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -415.791. Let k = -4.209 - u. Sort -1\/98, k, 1\/6.\nAnswer: k, -1\/98, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1404 + -1408. What is the fifth biggest value in -0.3, -5, 17, -0.04, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -45 + (-25 - ((-7 - 9) + 12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = -2*t, -4*l + 22 + 14 = -t. Suppose l*p - 479 - 430 = 0. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -2 - (36 + -14) - (-27 + 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.34224 months in millennia?\nAnswer: 0.01002852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259*g**3 + 19043*g**2 + 2*g + 7333268 wrt g.\nAnswer: 1554*g + 38086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 + 103 + -34 - -32?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhglzgjz. Give prob of sequence lhgg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 + l**5\/4 + 7*l**4\/12 + 14*l**3\/3 - 10*l**2. Is f(-14) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 + 16*f**2 - 27*f + 42. Determine p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 31 (c) -2 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*l + 6*l - 3*o, 16 = 2*l - 2*o. Suppose m + 0 = 3*j + 4, -j + 22 = -5*m. Which is the closest to -2\/5? (a) -3\/5 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12299*k*x*y**2 - 10851*k*x - 2*x*y + 3*x - 3*y**2 with respect to y.\nAnswer: -24598*k*x*y - 2*x - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j = -187*j - 238*j + 1232 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 577 = 72*a. Put 5, 2, a, -5 in descending order.\nAnswer: a, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/4 - (-66)\/16.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20)*(3\/(-9))\/((-54431)\/(-5135)).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*26\/3*(-79980)\/127968?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 39*x = 39 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 11*d**2 - 4 + 26*d**2 + 2*d + 14*d**2. What is the hundreds digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/676 and 31\/104.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 10 - -13 - (1 + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1518.1 + 1518. Suppose w + 2*w + 4*l - 4 = 0, -3*w = -2*l + 2. Sort -0.2, w, k.\nAnswer: -0.2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*h + 172*h + 1650 - 350. What is the biggest value in -2, h, -3\/667?\nAnswer: -3\/667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2858\/7 or -2\/3?\nAnswer: -2858\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26161 (base 7) in base 16?\nAnswer: 1b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r - 1590000. What is r rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2000, 2221, 2434, 2633, 2812, 2965, 3086?\n\"Answer: -v**3 + 2*v**2 + 222*v + 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13153*y**3 - y**2 - 1 + 9716*y**3 - 3058*y**3.\nAnswer: 19811*y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 17*d - 29*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*a - 13546, -a + 7748 = -2*q + 983. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16028 (base 10) to base 4.\nAnswer: -3322130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*c**2 - 10*c**2 + 19*c**2 + 4*c**2 + 0*c**2 - 3*c**2 + (-5*c + 1 - 1)*(-c + 0*c + 0*c) in the form g*c**2 + p + l*c and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*v - 16*v**2 + 15*v**2 + 0*v**2 + (-1 + v + 1)*(2*v - 4*v + 4*v) - 2*v + 6 - 6 + 3*v**2.\nAnswer: 4*v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8*s + 4*s = -12560, 2*z + 4*s = 8380. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(539) + 1 + -4 + sqrt(539) + 1*sqrt(539))*3*-6)**2.\nAnswer: -734832*sqrt(11) + 14250492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5656014026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-2\/33))**25\/(n**(1\/4)\/n**(-3)*((n*n*n**5)\/n)\/n**(-2\/7)) assuming n is positive.\nAnswer: n**(-7411\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Let v = -1.000004 - z. What is v rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 187 + 2986. Let p = -274 - f. Calculate the remainder when 626 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/3 (c) 13 (d) -1624 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962 - 1425*z - 1897 + 935.\nAnswer: -1425*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose -2*d = i + z, -19 = -5*i - 0*i + 3*d. Find the third derivative of 1 + 0*r**i + 2*r**6 + 2*r**2 - 1 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257932.\nAnswer: 2, 64483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160295149?\nAnswer: 7, 239, 95813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8*(-4)\/(-20))\/(12\/30). Solve 0 = -x*c - 3 - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z**2 + 227*z**2 + 83*z**2 - 83*z**2 - 81*z**2 - 80*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -155, -182, -211, -242, -275, -310, -347?\n\"Answer: -y**2 - 24*y - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 0 - 3226\/16. Let s = 556 - 356. Let k = s + o. Calculate the common denominator of 75\/14 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010110001 (base 2) to base 6\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 16. Let i(y) = y**2 + 8. Let n be 3\/(3\/5) - 1. Let v(c) = n*h(c) + 7*i(c). Find the first derivative of v(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-14)*(1 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 448, 694, 1038, 1480, 2020, 2658?\nAnswer: 3394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 - 5*o + 24*o**3 - 2 - 3*o**2 - 2*o + 4 - 16*o**3 to k*o**2 + h*o + v + b*o**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*(-9)\/25*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -28662*t + 888535. What is c(31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w. Let m(j) be the second derivative of j**4\/4 + j**2 - 5*j. Let n(h) be the first derivative of m(h). Calculate n(o(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:53 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78664956, 78664970, 78664986, 78665004?\n\"Answer: c**2 + 11*c + 78664944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -39. Let z(b) = b. What is a(r) - 5*z(r)?\nAnswer: -5*r - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220400 is divided by 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 0, -7, 3.\nAnswer: -111, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12*m + 3608. Let j = m - 446. Solve -w - 3*f - 1 = -8*f, -j*w - 5 = 2*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7203 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60637, -121217, -181803, -242395, -302993, -363597, -424207?\n\"Answer: -3*p**2 - 60571*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*s**3 - 69*s**3 - 93*s**3)*(-3 + s + 3).\nAnswer: -140*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 107.7533547.\nAnswer: 103.7533547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/40*-10*30\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + i - 2. Let o = 4 - 6. Let p be d(o). Let u = -265 - -269. Solve 5*m + u = p*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 11:51 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 500524437 to the power of 1\/2, to the nearest integer?\nAnswer: 22372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (-2 - (-2 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -359*k**5\/20 + k**4\/6 - 7*k**3\/6 + 157*k - 1. Find the third derivative of y(t) wrt t.\nAnswer: -2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + i + 11 = 0, 5*p = i + 13. Let z be ((-2)\/p)\/(29\/58). Let v = 0 + -1. Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbmbggggbbbsssumsmb. Give prob of picking 1 u, 1 q, 1 s, and 1 m.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -138*o. Let a(p) = 19*p**2 - 29. Determine a(k(r)).\nAnswer: 361836*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54643 is divided by 53137?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.51 + -1.21. Sort -1.3, -2\/9, z, -0.3 in increasing order.\nAnswer: -1.3, -0.3, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -51176163036.\nAnswer: -51176163036.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26204 = 539*j - 17580 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 12?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w. Let b(q) = 790*q**2 - 394*q**2 - 398*q**2 + 157*q. Determine b(o(n)).\nAnswer: -8*n**2 + 314*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3585 is divided by 124?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/4 - 25641*k\/4 = 0. Calculate k.\nAnswer: -8547, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356344 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26*(5 - 8\/1). Let h be (-507)\/a - 3\/2. Solve -4*y + h*r = -13, -4*r - 3 = -2*y - 5*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5 - 9 = -3*b, -9*b - 4 = -2*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 32*l - 22430. Is -4484 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244c (base 13) to base 6.\nAnswer: 35434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x**4 + 6*x**4 + 5*x**4)*(-288 + 1775 + 744 + 755 - 327).\nAnswer: -50521*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 + g - 2. Let r be h(4). Suppose -r*w - w - 3*s - 9 = 0, -2*s = w. Let k = w + 8. Solve -k*a = -u - 2, u = 2*a + 4*u - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1562 + 1563. Put 47\/3, t, -2\/3, 0.1 in increasing order.\nAnswer: -2\/3, 0.1, t, 47\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 6783*n\/2.\nAnswer: -n*(n - 6783)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56734 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) 13.8 (b) 2\/13 (c) -2\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1018225 - -5091128\/5. Let -6\/5*t - v*t**3 - 24\/5 + 3*t**2 = 0. Calculate t.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 - 504*i + 21168 = 0.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 11. Let f = h - 2.1. Let v = -7 + f. What is the third smallest value in v, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 5c656?\nAnswer: -5c657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*k*u**3 - 2*d**3*k + 2*d**3*u + 723*d**2*k*u**3 - k - 7*u**3 + 8*u**2 + 3*u wrt u.\nAnswer: 6*d**3*k + 4338*d**2*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-736)\/(-276))\/(4\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 33*u + 1. Let z(a) = -1. Calculate w(k) - 2*z(k).\nAnswer: 33*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7042*n**3 + 7025*n**3 - 14123*n**3.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:45 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 344*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(363)*-2)\/(sqrt(99)*-1))\/((3*sqrt(288))\/((sqrt(48)\/sqrt(4))\/sqrt(2))).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -702*u + 319*u - 4 + 311*u - 68*u**2 = 0.\nAnswer: -1, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/41)*o**(-7))**(-14) assuming o is positive.\nAnswer: o**(4032\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*3\/(-9))\/((-6)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2\/9, -0.5, 0.1, -60?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 86.2, 0.2?\nAnswer: 86.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16\/7 (b) 28 (c) 0.1 (d) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58069*k**3 + 53520*k wrt k.\nAnswer: -348414*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000118004 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14550124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729398769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 9191*k + 5190423. What is j(-469)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10144 and 85336400.\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37761101.793 + -0.3.\nAnswer: 37761101.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from eveeeevv?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/4 (c) 2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-2\/13)\/(g**(-7)*g*g\/(g**8*g)) assuming g is positive.\nAnswer: g**(184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*j - 252 = 0, -5*j = 5*o - 3*o - 119. Let g = o - -92. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09358 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 21*h = 26*h - 5648, 3*i - h = 8506. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/679 - -28452\/7469. What is the common denominator of 10\/11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 - 6*a + 5. Let m be h(-6). Let k = -10 - -13. Let n(u) = -3*u**2 - 5 + k*u**2 - 9*u + u**2 + 3*u. Give n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 7*w = -609. Suppose -14*n = -w*n + 903. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 5519*g + 758293. Give x(141).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-60) - (-14)\/(-12))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(153) + 1)*5.\nAnswer: 80 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8885863 and 3325?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + 2a33?\nAnswer: 2a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1906, -7630, -17154, -30466, -47554, -68406, -93010?\n\"Answer: 2*a**3 - 1912*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let z(c) be the third derivative of c**4\/2 + 4*c**2 - c. Let w(a) = -a + a - a + 0. Let l(f) = -2*w(f) + z(f). What is p(l(u))?\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.48 + -29.98. Sort -2\/5, 58\/5, t.\nAnswer: -2\/5, t, 58\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/60 + i**4\/24 + 4*i**2 + 2*i. Let d be j(-1). Solve d*l - 3 = l + 3*z, 0 = -4*l - 5*z - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:21 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -16, 3*n = 5*n - 3*d - 86. Let u = n - 21. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 3826, 267, -2.\nAnswer: -120, -2, 267, 3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47812240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c - 2. Let t(l) = -l**3 + 8*l**2 - 6*l - 11. Let j be t(7). Let i(f) = 6*f - 1. Give j*q(p) + 5*i(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 48*w + 2. Let m(v) = -191*v - 7. Let q(i) = -4*c(i) - m(i). What is q(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 21*x**2 - 17. Let a(w) = -2*w**3 + 10*w**2 - 9. Let g(i) = -7*a(i) + 3*t(i). Is g(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1 - 6 + 1155*h**2.\nAnswer: 1155*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5550051491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 2*h**2 + h**2 + h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 826, 1458, 2296, 3346, 4614?\nAnswer: 6106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 554, 1539, 3016, 4979, 7422?\nAnswer: 10339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*1*3 + sqrt(143) - 5*sqrt(143)*-2)\/((sqrt(539) - (sqrt(539) - (-5*-3*sqrt(539) + sqrt(539))))*4).\nAnswer: sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgg when three letters picked without replacement from {g: 13, i: 3, s: 3}.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**4 - 167*s**3 + 810*s**2 - 13. Let l(k) = k**4 + 84*k**3 - 405*k**2 + 6. Let j(h) = -6*i(h) - 13*l(h). Solve j(a) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23355 + 10120?\nAnswer: 33515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*p + 114*p = 264 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2283\/616 + 2635\/616. Let s be (0 - -3)*(-32)\/(-42). Solve -20\/7*f + o*f**2 + s = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4183236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, m: 2, r: 1, w: 1, k: 1}. What is prob of sequence pm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -8*h + 21. Let v be 17\/7 - (-3)\/h. Suppose v*y = 7*y - 130. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18407 is divided by 393?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18360 > 5912271\/322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/383909 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:55 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 b, and 2 d when four letters picked without replacement from {b: 3, d: 2, x: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -416 - -423. Let r be (4 + 0 - v) + 0 - -5. Put -1, 5, 4, r in decreasing order.\nAnswer: 5, 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 534 = -0*g - 3*g, -4*g = -2*c + 326. Suppose -x - 2*x + j = c, -3*j = 2*x + 130. Let s = x + 64. Solve s = -b - 3*t + 14, 0 = 3*t - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-66))\/((-49)\/(-441)). Which is smaller: 2\/37 or g?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*d + 0*d - 11*d - 4*d + 5*d - 4*d + (-4 + 1 + 5)*(-3*d + 4*d + d).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 2*d**2 + d + 1. Let o = -6 + 3. Let j = 59 - 41. Calculate the remainder when q(o) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u**(11\/7)*u)\/u))**(-33)*(u\/(u*u**(1\/10)*u))\/u**(5\/13) assuming u is positive.\nAnswer: u**(-14221\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 723685.\nAnswer: 16644755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 34\/7, 0.5, 12, -52, 0 in descending order.\nAnswer: 12, 34\/7, 0.5, 2\/11, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2772 divide 48136610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/234 and -173\/5370?\nAnswer: 209430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 955*f - 960*f - 65, g + 19 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 6*x + 85, -11 = x - 3149*l + 3146*l for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 + 1 = 0, -z = 2*o + 18. Let y be 8\/20 + z\/10. What is the third smallest value in 5, 0.01, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(110\/6))\/(((-2975)\/(-25))\/(-1190))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 11*x + 19. Does 14 divide d(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4152 * 0.06\nAnswer: -249.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 2.8, -131160.6?\nAnswer: -131160.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j + 374*j**3 - 111*j + 27*j + 1005*j**3 + 25*j + 31*j.\nAnswer: 1379*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guu when three letters picked without replacement from {u: 1, g: 4, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594375 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 51. Sort n, -2\/5, 2\/19.\nAnswer: -2\/5, 2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-882)\/189. Suppose q - n - 3 = -g, -q - 24 = -5*n. Is -3\/56 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197881064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 - -57. Let d = i + 221\/2. Which is the third smallest value? (a) 0.3 (b) -0.08 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.86476 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**2 + 4*k - 1 + 2\/3*k**3. Let j(x) = -5*x**2 + 9*x - 9. Give -9*h(w) - 4*j(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12066041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-16))\/((-30)\/(-40)). What is the closest to 0 in j, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 - 2*x + x**3 + 118*x**2 + 12 - 118*x**2 in the form f + n*x**2 + i*x + b*x**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 1594 = 1712 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, 7, 1\/12, -4\/5, 105.\nAnswer: -5, -4\/5, -2\/5, 1\/12, 7, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112\/(-98) + ((-6)\/(-3) - 1). Sort n, -5, 1\/4 in ascending order.\nAnswer: -5, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/217)\/(24089\/(-43927))?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1492*f*m**3 + 624*f*m**2 + m**3 wrt m.\nAnswer: 8952*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-600)*-75)\/((-1)\/(-21)))\/((-6)\/8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6399, 0, 1104 in ascending order.\nAnswer: -6399, 0, 1, 1104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 + 74*h + 78. Let o(a) = 2*a**2. What is x(o(i))?\nAnswer: -20*i**4 + 148*i**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306 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: b\"What is the pth term of 529191, 529180, 529171, 529164, 529159, 529156?\n\"Answer: p**2 - 14*p + 529204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -85*k**4 + 5*k**3 + 172*k + 4. Let w(o) = 127*o**4 - 8*o**3 - 257*o - 6. Let x(d) = 8*j(d) + 5*w(d). Find the second derivative of x(h) wrt h.\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 9. Let i(c) = -c - 1. Let w be i(-10). Let o be j(w). Suppose 2*l - l - 5 = o. Solve -l*a = 1 + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7327 and 933.\nAnswer: 933.7327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 895*h - 45414.\nAnswer: -(h + 54)*(h + 841)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 4. Let q be h(-6). Suppose -q*j = r + 1, -r - 3*j - 5 = -2. Let l(o) = o**2 - 4. What is l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4 + 19855*u**3 + 3843570*u**2 + 206709120*u + 1563494400 = 0.\nAnswer: -3770, -96, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 times -9?\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:48 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9343311 decades in centuries?\nAnswer: 0.09343311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28517415 rounded to 4 decimal places?\nAnswer: -0.2852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 4) in base 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/((-168)\/(-32)) - -1. Suppose 2*b + 12 = -2*b. Let y(s) = s - 1. Let q be y(b). Sort v, 4, q.\nAnswer: q, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63160.\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48587624213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674 is divided by 104?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2010 by 132598.\nAnswer: 1005\/66299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:39 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 17. Determine s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.72 and -31616.\nAnswer: -117611.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 + 9*n - 7. Let h be (-20)\/35*42\/(-4). Let q be v(h). Suppose 4*x = 3*x + q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 20. Let w be z(-12). Suppose 0 = -3*p + 5*p - 4*y + 8, w*y = 4*p. Put p, -11, 1 in descending order.\nAnswer: p, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 382356 at least 382354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 2, k: 8, t: 1, f: 1, h: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 16*k**2 + 5728*k - 5761. Determine a(-359).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42579598 - 42579647.999651. Let x = z - -50. What is x rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -68. Let b(y) = 3*y**2 + 3*y - 12. Let w be b(-7). Suppose -290 = -z*m - w. Calculate the lowest common multiple of m and 14.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 1 + 2 + 94*x + 0.\nAnswer: 95*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g**3 + 171*g**3 + 3*g**3 + 62*g**3.\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9047*j + 9681*j = 9510 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 2c?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329705950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30097 is divided by 30003.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 73*t**2 - 201*t - 8454. Calculate g(-36).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -64. What is the least common multiple of 33 and v?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260758288 to the power of 1\/2, to the nearest integer?\nAnswer: 35507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + i**2 + 10*i - 30. Give q(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9525223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 72 = -16*a. Let c(h) = h**2 - 5*h - 7. Give c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyyyyvy. What is prob of picking 1 y and 3 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*s = 5552 - 18674 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 33*f**2 + 147*f + 36. Let p be o(37). Let h = -9 + 14. Let y = -7 + h. Put 0, p, y in increasing order.\nAnswer: y, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23939685 a multiple of 3773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219 in 0.4, 638, -14\/17?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50032.856 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 11. Let g be p(0). Let k = 15 - g. Let m be 86\/18 + k\/18. Solve -4*o + m + 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7494, 2\/11, 21 in decreasing order.\nAnswer: 21, 2\/11, -7494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/4 of a minute?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 558586382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(600)\/(sqrt(40)\/sqrt(4)) - sqrt(60))\/sqrt(12)*4)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14892 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-2)\/12)\/((-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:06 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.07. Let k be 17\/(408\/(-16)) - (-13)\/15. Which is the fourth biggest value? (a) 0.3 (b) 3 (c) h (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.064 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j - 102. Let m be j\/17 + 1 + -4. Let v(f) = -5*f - 27. Let z be v(m). Calculate the greatest common factor of 33 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280 + 339. Does -3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63\/185, -0.1859, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 34585 = -120065. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 1 - 1)*(-2 - g + 7*g - 2*g)*(2 + 0 - 1) in the form f*g**2 + n + m*g and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 3*t + 93 = -g*h, -h + 0*h + t - 21 = 0. Let s = -59 - h. Round s to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 0.9. Let f = s + 0.2. Which is the nearest to f? (a) 1 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*w**5 - 85*w**4 + 95*w**3 - 35*w**2.\nAnswer: 5*w**2*(w - 1)**2*(5*w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 + a**3 - 5*a**3 + (-2*a + a + 2*a)*(-6*a**2 + 3*a**2 + a**2).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11105917 is divided by 2960.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -168. What is the remainder when (13 + v)*57\/(-2) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 1)*(167*r - 66*r + 2 + 211*r).\nAnswer: -2496*r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35007302965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3010927?\nAnswer: 79, 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (8\/5 - 2)\/(39\/(-19890))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(4)*-4*6))\/((sqrt(128)\/sqrt(4))\/sqrt(8)*-3).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 5*c + 2*o + o, 0 = -5*o + 15. Let j be -13*c\/124 - -4. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/123))\/a)\/(a**(20\/3)*a))**20 assuming a is positive.\nAnswer: a**(-18820\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -12. Suppose -g*k + 328 = -k. What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22689316 and 5681?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 7, p: 3}. What is prob of picking 1 c and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 4, l: 8}. What is prob of sequence lno?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*k - 2*k - 36, 0 = -z + 3*k + 32. Let d(j) = 2*j - 55. Let v be d(z). What is the closest to -1 in 9, 2\/13, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 14625576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = s - m, s + 1 = 2*m + 13. Let a(w) = 8 + s*w - 2*w + w - 1. Let v be a(-7). Solve -3*r + 5*f - 13 = v, -2*f + 4*f = 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3430, 3, 7, -11 in descending order.\nAnswer: 7, 3, -11, -3430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2122001120000 (base 3) to base 7\nAnswer: -14613426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*t**3 - 3*t - 124*t**3 + 58*t - 249*t**3.\nAnswer: -640*t**3 + 55*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 103 = -27. Suppose 2*s + 2*s - 2*u - f = 0, -3*s - 5*u - 13 = 0. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 72, 66?\n\"Answer: -6*q + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101737 is divided by 50845.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 774619, 1549238, 2323855, 3098470, 3873083?\nAnswer: 4647694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 11268001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 418826688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:29 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 3*n**3\/2 - 15*n**2\/2 - 15*n. Let k(s) = -5*s + 8. Give 11*k(w) + 6*o(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46192*o**2 + 1162*o - 23090*o**2 - 23103*o**2 - 1162*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.5 (c) -1\/8 (d) 21.2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176 and 162024.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 0.1 (b) 4 (c) -7\/2 (d) -77 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3150 - 4?\nAnswer: -3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53595467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w - 3 + (-2*w - w + w)*(-1 + 0 + 0) - 51*w - 144 + 144)*(-6*w**3 + 2*w**3 + w**3).\nAnswer: 150*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = -0*n + 3*n. Let o = n + -34. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 45. Let u be b(-43). Suppose 37 = -4*l - 5*i, -3*i - i = -3*l + 11. Sort 1, 4, u, l in descending order.\nAnswer: 4, 1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44077 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76*((-3)\/(-2))\/3. What is the first derivative of 0 - 2*p**4 + 38*p - b*p + 4 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111000 - 10?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1282, -1243, -1198, -1147, -1090, -1027, -958?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from hchhchccchhhhychch.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(720)*1*4 - sqrt(720))**2*6.\nAnswer: 38879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/2*(-2)\/(-372). Are u and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 7, j: 2, s: 3, t: 6}. Give prob of picking 1 i, 1 g, and 2 t.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.01 + -0.01. Let u = 467 + -469. What is the second biggest value in 0.3, g, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c + 9b?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 16 - 94. Let y(s) = s**3 - 5*s**2 - s + 5. Let i be y(5). Suppose i = 5*u + h - 68, -u = -6*u + 4*h + t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 2*f**3 - 2*f**3 + 4*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -8*d - 0*d. Suppose 0 = 6*u - d - 33. Solve 0 = 2*x - u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667063718 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79616.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + 41*d - 15. Does 31 divide n(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5 + (-7 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 706 = 3*b + 812, 0 = -b - 18*x + 147 + 359 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 39\/493 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33516061 to the power of 1\/2, to the nearest integer?\nAnswer: 5789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289312 and 448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1001 - -6453?\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d\/(d*d\/d**(-1\/4)))\/(d**0\/d)**(6\/19))\/(((d*d**(-4\/3)*d)\/d*d**(1\/13))\/(d*(d**2*d)\/d*d*d*d\/d**(-2)*d)) assuming d is positive.\nAnswer: d**(27631\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 2.843.\nAnswer: 102.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.2 - -28. Let l = -58.883 - v. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/203 (b) -15 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2 + 2 - 16*j**2 - 12*j**2 - 5*j + 30*j**2. Let p(s) = -5*s**2 + 7*s**2 + 0*s**2 + 4 - 6*s. Give 4*p(n) - 5*q(n).\nAnswer: -2*n**2 + n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 3700, 85?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(847) + 1*sqrt(847))**2 - sqrt(847)) + -2*(sqrt(21)\/sqrt(3) + -5))*2.\nAnswer: -26*sqrt(7) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-96 - -49) + -1 + 155 + 0 + 12\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*-27*65\/(-3159).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240992098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923173 > 63464683\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 15 + -2 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g**2\/17 + 60*g\/17 - 2\/17 = 0.\nAnswer: 1\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24046801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 97 = -5*o + g, 0 = -4*o + 5*g + 94. Does 9 divide (-203 - 0 - 1)*o\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -214*b**6\/15 - b**5\/30 + 649*b**4\/4 + 2995*b**2. Find the second derivative of y(n) wrt n.\nAnswer: -10272*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = 13 - 51. Suppose 5*v + 3*r - 9 = 2*r, 4*r = 3*v - 10. What is the highest common divisor of v and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.8 - -26. Suppose c - 1 = 4*z, -3*z + 5*c + 3 = 8. Suppose n + 2*n = z. Put -1\/3, g, n in ascending order.\nAnswer: -1\/3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let z = 355\/14 + -51\/2. Let w = -6 + 1. Which is the third biggest value? (a) z (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*o**4 - o**3 - 121*o**2 - 2*o?\nAnswer: 1704*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/86999 and 8\/7909?\nAnswer: 86999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39824?\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9869696.267 to the nearest one hundred.\nAnswer: -9869700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btuuotufbjuf. Give prob of picking 1 u and 1 j.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1500 and 49525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 - 10*z + 8. Give t(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0664065 to 3 dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/16)\/((-4)\/16) + 1. Suppose o = -4*k + 4*d, -5*k + 4*d - 2 + 0 = 0. Solve k*j - 7*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*b**3 + 0 + 0*b - 2\/3*b**2.\nAnswer: 2*b**2*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**2 - q + 11*q**4 - 4*q**2 - 6*q**4 in the form j*q + c*q**4 + s*q**2 + a + o*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + 344*h**3 - 1026*h**2 + 1024*h - 341 = 0. Calculate h.\nAnswer: 1, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*k - 25 - 3 = -193 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 30*w**4 + 45*w**3 - 20*w**2.\nAnswer: 5*w**2*(w - 4)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 26184 = c, 3*j + 2*j + 5*c = -65490. Let x = -7593 - j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-157)\/80 + (-3)\/5 and -63\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510141 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 23*p = 10560. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - a = -0*a - 15, 25*z + 167*z - 24*z + 3*a = -663 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommooornnne. Give prob of sequence oer.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -4*u + 3*g, -2*u - g = 3. Let k = -3.659 + -0.041. Let n = k + 4.1. Which is the closest to 2\/7? (a) u (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.1. Let h be (14 - 11) + (-259)\/3. Let z = h + 84. What is the third biggest value in p, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 + -31.414342546?\nAnswer: -31.405342546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 - 5525*f**4 + 1204110*f**3 + 180997490*f**2 + 3369695725*f + 3189907875 = 0 for f.\nAnswer: -83, -21, -1, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 0*v + 0*v - 4*v as g*v + m and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3424 = -5*o + 3553, 3*m = -3. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5 + 15*k**4 + 27*k**3 + 13*k**2 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-14))\/(((-1)\/106)\/(-1)). Suppose x - h - 27 = 38, x = -2*h + s. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 533, 766, 977, 1160?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + (-13 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6820)\/1085 + (-1 + 2 - -5). Which is the fourth biggest value? (a) -11 (b) 1 (c) g (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15766 * -6\nAnswer: -94596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mykkkukuk. Give prob of sequence mkku.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(66\/18))\/11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*-4 - 11\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30219 + 30219 - 239*s)*(2*s + 0*s + 0*s + 2*s**3) - 3*s**2 + 3*s**2 - 2*s**4 in the form y*s**2 + f*s**3 + o + a*s + t*s**4 and give t.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496845591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -113*b + 18. Let s(h) = -204*h + 36. Let t(x) = 9*d(x) - 5*s(x). Determine t(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98158 and 2?\nAnswer: 196316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70224 and 26796?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32646 = -11*u + u + 32486 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15093 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, o: 1, a: 2, r: 1}. What is prob of sequence raf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - -9 - 0 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/5 + 18*v - 91\/5 = 0?\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:18 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40822 - -40859. Suppose 0 = -4*m - 5*t + 99, 0 = m + t + 4*t - 21. Calculate the remainder when d is divided by (2 + -1)*m\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqr when three letters picked without replacement from rrqqrqrqrrr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18858840 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = 3*x - 3*f, 4*x = -5*f - 77 - 817. Is 9\/6 + x\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13367965 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*t - 13*t + 54*t)*(-23 + t - 48 + 49) as c*t**2 + n + g*t and give g.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3268, 6534, 9800?\n\"Answer: 3266*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + y**2 + 0)*(-4*y + y + y) + (92*y + 69*y**3 - 92*y)*(-3 + 4 - 3) to the form d + g*y**2 + q*y**3 + p*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 100453?\nAnswer: -100445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (136 - 64) + -47 - 124?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/68*(-380)\/(-19)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 82\/107, 0.169, 0.2 in descending order.\nAnswer: 2, 82\/107, 0.2, 0.169, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**2 + 2 - b + 1\/4*b**4 + 5\/3*b**3. Suppose 4*w + 8 = -5*f + 4*f, 18 = -4*f - 2*w. Calculate i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*u = -183*u + 40. Let h = 12 + -12. Let g = h - u. What is the smallest common multiple of 18 and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4898475.\nAnswer: 3, 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44976 divided by 48?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6442*c - 9250709. Determine d(-1436).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (0\/2 - -2). Let l = 41893 + -41668. Calculate the highest common divisor of j and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -17.3. Let t = u - 0.3. What is the nearest to 0.1 in -0.4, 4\/7, t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {v: 6, e: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85516111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -360603 (base 13) to base 14.\nAnswer: -256a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260) - 1*sqrt(1260))\/(sqrt(5) + 2*sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 50 - 95 + 13*n + 200 + 3*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 181*j**2 - 11753*j - 801. Give m(65).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -312499*z**3 + 312501*z**3 + 3715 + 2*z**2 - z**2 in the form i*z**2 + g + t*z**3 + m*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - r**4 + 0*r**4 - 4*r**4 + 6*r**4 - 4*r**4 + (-11*r**3 - 13*r + 13*r)*(3*r - 5*r + r) - 16*r**2 + 2*r**4 + 8*r**2 + 11*r**2.\nAnswer: 8*r**4 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 91, 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 - 1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -85. Let w = 27 - x. Suppose 2*k + 2*m - 68 = -8, 0 = -3*m + w. Solve 0*q = -q - 2*r + 13, -r + k = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.3 (b) -1\/2 (c) -0.004 (d) -1\/14 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1950*h - 1. Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 9\/517257305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -10481 and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.863 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 - 3) + 1)*1\/2. Put 4\/5, p, -2, 5 in decreasing order.\nAnswer: 5, 4\/5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179235 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 81851.\nAnswer: -4\/81851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 14.96. Let q = m - -25. Let l = q + -7. Which is the third smallest value? (a) 1 (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-2)\/(-1) + -1). Suppose -3 = -v - 2. Let z = 150.4 + -150. What is the closest to v in t, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56231, 112487, 168745, 225005?\nAnswer: 281267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*h - 33, 4*q - 3*h - 108 + 35 = 0. Let z = q - 22. Let v = 0.4 - -0.1. What is the nearest to 2 in v, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqw when three letters picked without replacement from {w: 14, q: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3\/49, -9, 50?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21712443811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79430)\/47658)\/((-1)\/(-27)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(4\/11))**(-1\/43)\/((g\/(g**3*g*g)*g*g**(-5\/2))\/(g**(1\/3)\/((g\/g**0)\/g))) assuming g is positive.\nAnswer: g**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 25*h + 18. What is the lowest common multiple of r(-8) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x + 6 + 2 - 5 to the form l + w*x and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -40.5, 1, -4\/3, 0.0186 in increasing order.\nAnswer: -40.5, -4\/3, -0.2, 0.0186, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-6 + -5 + (-343)\/(-35)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 16 = -w + 5*z, 0 = -w - 2*z - 46 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -25*z + 2. Let d(k) = 75*k - 5. Determine 4*d(m) + 11*f(m).\nAnswer: 25*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*-2*sqrt(684) + -3*(sqrt(684) + 1)) + (sqrt(684)*-2 + -1 - (1 + sqrt(684) + 0 - sqrt(684))) + 0)**2.\nAnswer: 3588*sqrt(19) + 362005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4920525 and 118275?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 12 (b) -0.81 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 42864.\nAnswer: -43\/42864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1311 + 14451\/11. Find the common denominator of (-82)\/36*(-3 + 6) and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110*w**2 + 2110*w**2 + 21*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (21 - (-24 + 97))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-1\/28)*j**(1\/5)\/j assuming j is positive.\nAnswer: j**(33\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*((9 - 4) + -4). Let z = 15 + d. Solve 3*y = -0*y + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2294*j**5 + 1576*j**5 - 1491*j**5).\nAnswer: -2379*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-588) - (620\/(-1456) - (-60)\/260).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 17225?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*l + 10, 0*l - 10 = -5*x + 5*l. Let b = -0.9 - -0.7. Let p = b + -2.8. Is p not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*w - 59*b**3 + 204623*b**2*w + 3*b**2 + b*w + 10*b + 2*w + 528 with respect to w.\nAnswer: 2*b**3 + 204623*b**2 + b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8, m - 4 = -s - 10. Sort s, -2, -1, -3 in descending order.\nAnswer: -1, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 523.999996962 + -524. What is p rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1859 = 2*i - 6*o + 9*o, 5*i = o + 4622. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 7*f**2 - 2*f + 4. Let i be 2\/(-1 - -3) + -4. Let s be 1*((-6)\/(-2) - i). What are the prime factors of x(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 5*f + 5. Let g(w) be the first derivative of w**2\/2 - w - 8. Determine 10*g(m) + 2*n(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221850114 to the nearest integer?\nAnswer: 14895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 k, and 1 z when four letters picked without replacement from kakekedzdkezez.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsk when three letters picked without replacement from dkdqkksddkddddsd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (129\/8428*-14)\/((-24)\/28). Factor -7\/2*d**3 - 45\/4*d**2 - h*d**4 - 5 - 13*d.\nAnswer: -(d + 1)**2*(d + 2)*(d + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164 - 46*i**4 + 43 + 33 + 60 wrt i.\nAnswer: -184*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/5 (b) 2\/47 (c) -16 (d) -3\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkmummm. What is prob of sequence uk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 33 = 5*j. Suppose 0 = -8*t + 4*t + 12. Let g = t + j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*j + 10 = 30, 3*j + 14 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 8*h**2 + 6*h + 10. Let q be w(-7). Let d = q - -74. List the prime factors of d.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o**2 + 2*o**2 - 2*o**3)*(0 - 3 + 6) + 6*o**3 - 4*o**3 - o**3)*(3*o - 4*o - o + (10 - 2*o - 10)*(6 - 2 - 2)).\nAnswer: 30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/3 - 5*s**2\/2 - 2*s. Calculate the remainder when 35 is divided by l(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 7 + 1. Let v(n) = 2*n**3 + 8 - n**p - 8*n**2 + 4*n + n**2. Give v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7097*q**2*w**2 + 3*q**2*w - 1418*q**2 - 351*q*w**2 + 1088*q*w + w wrt w?\nAnswer: -14194*q**2 - 702*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1243)\/(-55) + -11 - 12\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 22 - 2*s - 8 - 4*s - 10 to x*s + f and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 24*f - 60. What is the nearest to -2\/5 in f, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - i + i + 2 - 2 + i + (6 - 2 - 3)*(i + 0 + 0))*(-i + 5*i - i) + 2*i**2 - i + i to the form y + q*i**2 + x*i and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 52706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*y - 3*b - 8, 2*y + 3*b + 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + q. Solve 3*o = -q*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -615 and -99?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*w**3 - 13*w**3 - 367*w**3.\nAnswer: -460*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 8*f - 12*f - 4, 0 = -2*q - f + 10. Solve -q = 8*c - 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196790161\/13480174168 + 2\/1874329. Find the common denominator of f and -107\/40.\nAnswer: 35960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {v: 5, y: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*o*z**3 - 5213*o*z + 6*o - 3*z**3 + 92*z**2 + 2*z - 2 wrt z?\nAnswer: -564*o*z - 18*z + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + -2)\/(5\/((-30)\/18)). Let w be 6\/10 + (s - 1807\/520). What is the fourth smallest value in 0, 0.2, w, -0.028?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.1 * 0.09.\nAnswer: 1.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504837?\nAnswer: 3, 56093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 78, 90?\n\"Answer: 12*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/3 - 5*y**2\/2 + 26*y. Let m(v) = 2*v**2. Calculate p(m(j)).\nAnswer: 16*j**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kikkkkkkkkkkkikikkkk.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 874 + -674. Is 40 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*t - 2 = 4, 4 = 2*f - 2*t. Let q be 3 + 5 + (-1 - f). What is the second derivative of 10*a**4 + 0*a - a - q*a**4 wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-22) - -2*1. Suppose s + 8 = 3*s. Suppose 10 = p + 3*p + 5*j, 3*j - 6 = s*p. Which is the closest to 0.2? (a) 0.1 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 + 7*z**5\/30 - 5*z**4\/12 - 5*z**3\/2 - 26*z**2. Is f(13) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*(-18)\/(-243)*(-10)\/(-15)*(-54)\/(-740).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -53*y + 2. Let g(b) = 3*b. Let z be g(-1). Is p(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7152\/64 + 1\/4. Let u be (9\/(-4))\/((-42)\/y). Suppose u*a - 2*x = a + 120, 0 = 5*a - x - 115. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(6\/4)\/(5\/2). Solve -3 + 22 = 4*n + s*u, -n = 2*u - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 7*h + 2. Suppose u + 3*r - 3 = -6, r = -2*u - 6. Let c(k) = k**3 - 7*k - 3. What is u*y(t) - 2*c(t)?\nAnswer: t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = -15. Suppose -v*f + 5*f = -12. Let a(u) = u**3 + 19*u**2 + 70*u - 2. Let h be a(-14). Put f, -1, h, -5 in decreasing order.\nAnswer: -1, h, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 20 + 455*y + 446*y + 444*y + 231*y - 1576*y.\nAnswer: -6*y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + 0 + (0 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(29\/(-5655)*-30*(-39)\/(-6))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.183 rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmxo when four letters picked without replacement from aammxomoqaqm.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = -7*t. Let z(v) = 1 - v + 0 + t*v + v. Let o be z(5). Which is greater: 51\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13487 + 1611 = 848*w + 5084 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/15 and -139\/3186.\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v. Let c(q) be the third derivative of -q**8\/1440 - 2*q**5\/15 - 11*q**2. Let t(y) be the third derivative of c(y). Determine t(a(l)).\nAnswer: -224*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 3:19 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63935727?\nAnswer: 3, 79, 101, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:03 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1752.6757 - 1.7757. What is z rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34937?\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.3 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15307734.282 to the nearest 100.\nAnswer: 15307700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 67751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154674726 divided by 696733?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 18*d + 3 + 25*d.\nAnswer: 43*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 5*j**2 - 3*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 86.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59124 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (223 - 244) + (8 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from njjwrwwnnnj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -84693.\nAnswer: 42346.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 6*k**2 + 7. Let c be z(6). Let f = 43 - -118. Let m(u) = u**3 + f*u**2 + 6 - 82*u**2 - 87*u**2 + 6*u. Determine m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 52. Suppose -3*q - 2 = q + s, 2*q + o = s. Are q and 3\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 47. What is the second biggest value in u, -1\/3, -2.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + sqrt(2))*-1 + sqrt(2) + -4 + (sqrt(8)\/sqrt(4) - sqrt(2)) + -3 + -5)*-2)**2*-3 + 1.\nAnswer: -1823 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -7*g + 8*g - 14, 1 = -d + 2*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -394588800 rounded to the nearest one hundred thousand?\nAnswer: -394600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5733*i**2*y**2 + 2*i*o**2*y - 19748*o**2*y**2 wrt i.\nAnswer: -11466*i*y**2 + 2*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -71. Factor -v**3 + 11 - n*v**2 + 9*v - 13 - 3.\nAnswer: -(v - 1)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*p + 2440, 3*b - 5*p = -640 + 2499. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 29. Let r = -26 - 7. Let v = s + r. Which is greater: 1\/3 or v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172932 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 3 = 12*j. Is j bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104070?\nAnswer: 2, 3, 5, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 15 = 13*m. Let w(g) = -4*g - 1 + 4*g - g. Let u be w(m). What is the greatest common divisor of 44 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:21 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 8*u - 11. Give d(8).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o - 30*o**2 + 0 - 11\/8*o**4 + 1\/60*o**6 + 0*o**5 - o**3. Differentiate i(r) with respect to r.\nAnswer: 6*r**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 + 3*q - 10. What is the smallest common multiple of 14 and n(-7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j + i, -3*j + 4*i = 3 - 29. Suppose 3*b - j - 4 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 10*l + 22. What is y(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -44. Solve -3*v - 5*m + 0*m + x = 0, 0 = 4*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233003230 (base 4) in base 10?\nAnswer: 192748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 358.07 and 0.10732.\nAnswer: 38.4280724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5*v + 13, 0*v - 5*x = 2*v - 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 11620\/91397, 0.4?\nAnswer: 11620\/91397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 357.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*i + 56*i - 508. Let y = i - 71. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 22*j**2 + j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1407786 by 466.\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*t - g - 6, 0 = 4*t - 5*g - 29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/7)\/(0 - -1). Let w(v) = 37*v**3 + v**2 - 23*v - 5. Is w(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*z - 5, 4*z = 5*z + x - 10. Suppose 305 = z*r - 245. Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 2, f: 2}. What is prob of sequence fe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**7\/945 + l**2 - 3. Let w(f) be the second derivative of v(f). Suppose w(a) = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/13195*58*14\/188.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 s when four letters picked without replacement from eeeeesnesne.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1 (b) 18021 (c) -2\/17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83 and 913.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2 (c) -1.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 9*u**2 + 9. Suppose -2*r + 27 = 2*y - 9, 0 = -3*y + 5*r + 78. Let t = y - 30. What are the prime factors of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eegi when four letters picked without replacement from eeeeieiiggiiiiee?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2402921*b + 10. Let j(c) = 4*c**2. Calculate t(j(y)).\nAnswer: -9611684*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3832*z + 49864. Determine p(13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.1 (b) 6.9 (c) 0.4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:55 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = -8. Let f = 26 + 19. Suppose -3*v - 71 = -4*o, 3*o - v - 4*v = f. What is the least common multiple of o and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -18982817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/26*18\/108)\/(7*1\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and 21?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497.618 days in nanoseconds?\nAnswer: 129394195200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 + 5.66. Let r = 4.06 - o. Which is the second biggest value? (a) -5 (b) 2 (c) r (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 1 (b) 1.43 (c) -1\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-9) + -3)\/(8\/12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105885828 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 - 0)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v + 6*v)*(3*v + 0*v - v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 27*j - 200. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6670*a**2*c*o - 843*a**2 - a*c*o - 876287*c + 12*o wrt a.\nAnswer: 13340*a*c*o - 1686*a - c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w - 2. Let v be a(4). Let m = -3 + v. Suppose 3*c + 2*g - 10 = 4*c, c - m = -3*g. Solve 0*i = -i - 5*q - 5, i + q + 1 = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 34 = 2*b, -6*z + 5*b + 67 = -8*z. Let w(x) = -x - 24. Let u be w(z). Let y(o) = -o**2 - 4*o + 8. Let p be y(-6). Put p, -1, u in increasing order.\nAnswer: p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -500, 3\/5, -1.2?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 11*v**2 - 8*v - 14. Let b be o(10). What is the tens digit of (-4)\/b*99\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470119 divided by -29?\nAnswer: 16211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*d + 207 = 0, -24676*m + 3*d - 127 = -24675*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 27 - 26*k + 25*k - 7. Let u be f(-6). Suppose -4*w + u = 6. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2000?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -17. Let g = 3 - u. Suppose 5*i = 4*f - 30, g*f + 2*f - 10 = -5*i. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {a: 1, k: 5, n: 1, c: 5, p: 1, d: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 635 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 - 241.38. Let u = w - -6.38. Which is bigger: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 = 521*v - 565*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012021021220 (base 3) to base 11.\nAnswer: -3a423a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) + (2*sqrt(360)*-1 - sqrt(360)) + sqrt(360))\/(sqrt(512)*2 + sqrt(512)).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -21 - 2*f**2 + 3*f + 0*f**2 + f**2 + 2*f**2. What is the remainder when o(-9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359637 and 329380?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 + 9783*c**4 - 7852395*c**3 - 200822967*c**2 - 1341959682*c - 1943603280 = 0?\nAnswer: -15, -8, -2, 1643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 728\/(-16)*(-7)\/((-49)\/(-2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 13. Let h be k(-8). Suppose -2*a = 3*w + 3*a - 27, -25 = -4*w - h*a. Let n(f) = f**2 - 5*f - 6. Let s be n(6). Solve -v + w*v + 3 = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 3448560. Let a(x) = x. Give a(p(z)).\nAnswer: -3*z + 3448560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let t(x) = 76*x + 305944. Determine t(v(f)).\nAnswer: -76*f**2 + 305944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:52 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose n*r - 1 = -0*r - 3*s, 3*s = 4*r - 11. Find the third derivative of 0*y**2 + r*y**2 - 2*y**3 + 0*y**3 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2519 = -3*a, 4*f = 7*a - 4*a + 2537. Suppose -9*n + f = 290. What is the remainder when 186 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1727*y - 86. What is the thousands digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251040, -502094, -753148, -1004202, -1255256, -1506310?\nAnswer: -1757364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002672 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18ca (base 16) in base 3?\nAnswer: -22201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206845 - (160\/10 + -12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 20 - 14 - -25?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, -13 in decreasing order.\nAnswer: 13, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, -24, 4.\nAnswer: -24, -5, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(4 + 3 - 6)*(-4 + 1 + 2 + (-2 + 5 - 1)*(-2 + 3 - 2) + 1 - 3 + 0)*(t + 4*t - 2*t - t - 6*t - t + (-4*t + 4*t - t)*(-2 + 5 - 2)).\nAnswer: -120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*s**3 + 13573*s**2 + 5864524 with respect to s.\nAnswer: -243*s**2 + 27146*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/20 - (-16)\/(32\/(-6)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (54\/(-270))\/((-2)\/(-15)). Let k = -2 + 0.8. Let y = k - -1. Which is the second biggest value? (a) y (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from wlbaz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -g - 64, 3*k = k + 4*g + 134. What is the remainder when k is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*t = -112, 0 = 4*g - 3*g - 2*t + 54. Let i(w) = -w + 25. Let b be i(11). List the prime factors of g\/14 + 3 - (-844)\/b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7278 + 7170 = -3*r + 11*c, -4*c - 93 = -19*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/15 - -5*(-16)\/100. Let p be ((-16)\/(-3) + -6)*d. Let n(j) = 3*j + 1. Give n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8343.85mg in grams?\nAnswer: 8.34385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 - 14*z**2 + 4*z + 9. Let h(f) = -20*f**3 + 42*f**2 - 13*f - 28. Let d(w) = 6*h(w) + 17*t(w). What is the hundreds digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:55 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-6))\/((-5)\/130)*3. Suppose -5*d + t = m, d - m - 3 + 4 = 0. Let u(j) = -j**2 + 5*j - 3. Let q be u(2). Solve -5 = -d*r + q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**5\/60 - 195*j**2. Let t(h) = -65*h**2. Calculate n(t(w)).\nAnswer: -4225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (906\/(-6040))\/(9*(-5)\/265) and 2\/5 + (-838)\/720.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 + 1.8. Let r = 15 - 7. Let b = r + g. Is b greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124*y**4 + 2*y**2 - 34.\nAnswer: 496*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -35) + -32 + 8 + 21 + -5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 65. Let s(r) = 1. Let t(o) = 2*o + 3. Determine j*t(w) - s(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*u**2 - 4*g**3 + 87464*g*u**2 - 2*g + 6489 with respect to u.\nAnswer: -4*g**3*u + 174928*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 15*b - 19. Calculate n(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i + 3. Let r(p) be the second derivative of 7*p**3\/6 + 3*p**2\/2 + 59*p. Let t(q) = -6*r(q) + 5*s(q). Let a(z) = -3*z - 4. Give 3*a(o) - 4*t(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-12) + (-3344004)\/(-16). What is y rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -5 + 35. Find the second derivative of -46*q**3 + 16*q**5 - 28*q**5 + 46*q**j - 33*q wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234917 = 75*s - 357139 - 35694. Does 62 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 1. Let z(t) = -12*t + 42. Let r(n) = 23*n - 100. Let f(g) = -3*r(g) - 7*z(g). Give -2*f(h) + 11*l(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2358 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q - 15. Let c be g(-6). Let k(b) = b**2 - 27*b + 86. Let u be k(26). Calculate the greatest common factor of u and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14925273?\nAnswer: 3, 11, 47, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13618*u**2 + 12494?\nAnswer: -27236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3, 0 = 5*h - j - 23 - 1. Put h, -22, -90 in increasing order.\nAnswer: -90, -22, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7.9. Which is the biggest value? (a) 0.05 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -0.4, -2.95, 0, 9\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1445*c + 4068*c + 4717*c + 977*c.\nAnswer: 11207*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 21*j + 24. Let h be x(20). Suppose 42*c = 46*c - 8. Solve -h*a = 2*p - 10, -c*a - 5*p = -3*p - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*p = -0*d - 1, 5 = -d + 3*p. Let q be (-406)\/(-49) - d\/(-7). Let k = 1 + 1. Solve -q = 2*n + k*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11311 - 2222022121?\nAnswer: -2222010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.220116 centuries to years.\nAnswer: 722.0116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -223801.\nAnswer: -105\/223801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1870, -1827, -1782, -1735, -1686?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -14. Find the common denominator of ((-2)\/(-20))\/((-6)\/95) and (1\/(-5))\/(q\/(-670)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*q + 4*q. Let v(r) = 9*r - 6. Let h be v(1). Suppose -136 = h*o - 145. Solve -o*l + q = 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 207*o + 610. Determine g(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 118 and -25?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4489759 millennia to centuries.\nAnswer: 4.489759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14505 - 28*s - 6*s + 14686. What are the prime factors of c(-15)?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2458002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 38*x + 2*m = 26, -2*m + 20 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*2 + -1)*1)**2 - (-2*(sqrt(288) - (sqrt(288) + 1)) + sqrt(288) - (5 + sqrt(288) + 0))**2.\nAnswer: -32*sqrt(2) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1 - sqrt(405))*-2 - (3 + 2*sqrt(405)))**2 - (4*sqrt(405)*2 + 1)**2.\nAnswer: -24300 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-8))\/(243\/162)*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2921 - 674. Let p = 2247.6444 - t. What is p rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 40*x**2 + 38*x - 5. Let w be f(-39). Suppose w*m - 15 = 29*m. Suppose -o = t + 3*o + 25, -4*o = 20. Sort 16, -2, m, t in increasing order.\nAnswer: t, -2, m, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1186*i - 501 + 501)*(i**3 - 4*i**2 + 4*i**2).\nAnswer: 1186*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 2, -2\/25.\nAnswer: -2\/25, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -349, -318, -287?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*o*x**4 - o*x**3 - 3*o + 30*x**4 + x**3 + 9447*x**2 wrt x.\nAnswer: -8856*o*x - 6*o + 720*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1662 - 1167. Let t = g - 195. Suppose 5*r + 4*b + t = 7*r, r - 5*b = 144. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than 33111735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-8))\/((-2)\/(-20)))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -821, -4825, -12015, -22397, -35977?\nAnswer: -52761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 2. Let z(d) = -d - 1. Let j = 1257 + -1255. Calculate j*z(m) - g(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738 is divided by 229?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -537458?\nAnswer: -537458.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = 5*z - 24*m - 4293, -4295 = -5*z + 5*m. What is the highest common factor of 312 and z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3996, -3402, -1736, 1548, 6996, 15154, 26568?\nAnswer: 41784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjeeejjjejjejjjjee. What is prob of sequence eejj?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010101 (base 2) to base 6.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*b - 19 + 283 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008930555 to 6 dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16109 is divided by 2571.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(42)\/sqrt(3))\/(sqrt(162)*-2).\nAnswer: -5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, n: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -58, -86, -122, -172, -242, -338, -466?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -86*k**5\/5 + 11*k**4\/6 + 9*k**2\/2 + 22*k + 6. Find the third derivative of d(p) wrt p.\nAnswer: -2064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 95*b - 97*b.\nAnswer: -207*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32988\/(-5333060))\/((3\/(-3))\/5).\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -30*h - 3. Calculate n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 9*f**2 - 15*f + 7. Let k be z(7). Let d(y) = y**2 + 14. Determine d(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 16, 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1003 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 265*t**4\/4 + 668*t**3\/3 - 683*t - 2. Find the second derivative of m(f) wrt f.\nAnswer: 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -2) + (1 - -1). What is the units digit of 1*h - (-20)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 4894468*h + 9788952.\nAnswer: -4*(h - 2)*(h + 1223619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1809979*g**4 - g**3 + 7*g + 288506?\nAnswer: 21719748*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 19*q. Let l(w) = -4224*w. Determine l(p(o)).\nAnswer: -80256*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 2\/7, -1, -5, 1\/8, 50 in decreasing order.\nAnswer: 50, 2\/7, 1\/8, -1, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-60)*-29 + (-22)\/(-165).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 - r - 44. What is the remainder when 224 is divided by u(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*v - 4*q, 0*q - 3*q = 2*v - 49. Suppose -2363*b + 2367*b = -h + 2591, 0 = 5*b + 3*h - 3223. What is the highest common factor of v and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-1 + 1)\/2)\/2)\/1. Suppose -h + h - 6*h = t. Solve 6*x - 2*x - 16 = h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*r + r = 24, -5*b - 3*r - 32 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 3)*(0 + 0 + m) + 0*m + 3*m - 4*m + 0 + 0 + m + (-38 + 38 + 14*m)*(-1 + 5 - 2) + 2 + 5*m - 2 as b*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 - 10*l - 9. Let y be i(6). Solve -25 = -y*g + 8*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2025978 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 184649973 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -257871467 + 1?\nAnswer: -257871466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.39974 - 0.419877. Let a = 0.0204 + g. Round a to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(24))\/sqrt(12))**2 + -5)*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let u be d(3). Suppose -34 + u = 4*k. Let t(r) = -3*r - 6. Calculate the remainder when t(k) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (51\/12*(-40)\/6)\/(10\/(-3930)). Calculate the highest common divisor of 170 and c.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-57)\/2))\/((-10)\/30)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(5) + 5 + (sqrt(50)\/sqrt(90))**2.\nAnswer: -3*sqrt(5) + 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 77*k + 734. Calculate a(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, -0.55, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -162430, -324870, -487298, -649708, -812094, -974450, -1136770, -1299048?\n\"Answer: b**3 - 162447*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4168*u - 6. Let f(n) = -n**3 - 2*n**2 - n + 2. Let q be f(1). Let s be j(q). Round s to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 0.66, -2, 88 in decreasing order.\nAnswer: 88, 3, 1, 0.66, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 105679*i**2 + 23516617 - 1992*i**3 - 71856072*i + 544644*i**2 - 245072839 + 2*i**4 + 9017*i**2 = 0?\nAnswer: -3, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6077782632.\nAnswer: -6077782636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812439, -1624886, -2437333?\nAnswer: -3249780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0 + b - 1\/3*b**3 + 0*b**2. Let d(x) = 2*x**2. Determine d(n(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 323571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*m = -139, 0*m = c + 6*m - 11*m - 160 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314529374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/5 + 39\/(-15). Let d be 2 + (h - -1) + 1. Let p(m) = -m**3 + 2*m**2 - 2*m - 1. Give p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 134. Let w be (h\/20 + 11\/(-44))*5. Put 4, -2, w in decreasing order.\nAnswer: 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(-2*i**2 + 3*i**2 + 0*i**2) - 6*i**2 + 9*i**2 - 40*i**2 + (-2*i + 0*i + i)*(2*i - 3*i + 0*i) to the form q*i**2 + p + w*i and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249468.1mm in nanometers?\nAnswer: 249468100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = 38*x - 25. Let a(h) = 402*h - 3. Let d be a(x). Suppose -654 + d = 3*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351687 = -t - 5*a, -4*a = 68*t - 74*t + 2110190. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(1053) + -1) - (5 + sqrt(1053)*6 - sqrt(1053))) + -2*(sqrt(1053) + 1 + sqrt(1053) + 3 + -5))**2.\nAnswer: 576*sqrt(13) + 16912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 1351597342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5 + 2\/5*i**2 + 18\/5*i.\nAnswer: 2*(i + 2)*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -223, -793, -1927, -3817, -6655, -10633, -15943?\n\"Answer: -32*r**3 + 6*r**2 + 8*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39690 = -5647*i + 5206*i for i.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(225) + sqrt(225)*-2 - sqrt(225)) + -2.\nAnswer: -2 - sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87181.1mg in micrograms?\nAnswer: 87181100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 6.2367.\nAnswer: -37.4202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1732 + 282 + 1167 = -531*u - 5 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 5*n**2 - 2*n - 2. Suppose -8 = 6*y - 2*y. Let v be 1*1\/(y\/10). What are the prime factors of z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = -2*y. Suppose -2*p + 0*p - 38 = -5*o, -y*o = p + 49. Let c = -24 - p. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18995800 to the nearest one hundred thousand.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/308 and 71\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 0, -3 in descending order.\nAnswer: 0, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 22. Let x be u(-9). Suppose -x*b + 3*b + 30 = 0. What is the remainder when (-1)\/(0 + -3) + 86\/3 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 867?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4253331 kilometers?\nAnswer: 425333100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163 by -51465.\nAnswer: 163\/51465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**4 + 398*t**2 - 13*t + 36975?\nAnswer: 24*t**3 + 796*t - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 12) to base 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 3*r + 2*r + (0 - 2 + 3)*(3 - 3 - r) + 1 - r - 1 - 2*r - r + 2*r + 3*r + r - 5*r + 2*r + 54 - 54.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + (36 - 30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r, 3*o - 3*r - 278 = -83. Suppose -4*h + o = 9. Let m(q) = 2*q**2 + 9*q + 4. What is the least common multiple of h and m(-6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 68*x. Let r(c) = -7*c**2 + 6*c. Let g(u) = 10*u**2 - 9*u. Let a(i) = 2*g(i) + 3*r(i). What is a(t(f))?\nAnswer: -4*f**4 + 272*f**3 - 4624*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x + 1. Let b(t) = -4*t**2 - 8*t - 9. Let o(g) = -10*a(g) - 2*b(g). Suppose o(f) = 0. What is f?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a322d (base 14) in base 10?\nAnswer: 2544121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -3 + -1*sqrt(98) + -3)**2 + (-2*sqrt(98) + sqrt(98))*-4 + -1)*-6.\nAnswer: -168*sqrt(2) - 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1539) - (sqrt(1539) + sqrt(1539)*-4 + sqrt(1539)))*6*1 - ((sqrt(1539) - (-2 + sqrt(1539)))*4 + (sqrt(1539) - -2*sqrt(1539)) + 2)).\nAnswer: -50 + 675*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from ipppz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4672 - 11982. List the prime factors of h\/(-16) + (-13)\/(-104).\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 - 28818*h**3 - 66024099*h**2 + 15284721384*h - 843934291632 = 0.\nAnswer: -4911, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1607 + -555. What is the lowest common multiple of 4 and o?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*17.715.\nAnswer: 7.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246205304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15ca6 (base 13) to base 16\nAnswer: a2ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 6*b + 5\/2*b**2 - 1\/3*b**3 - 11. What is v in o(v) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30191458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69298, 277198, 623700, 1108804?\n\"Answer: 69301*g**2 - 3*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 31. Suppose 4777 + 2923 = 35*o. What is the greatest common factor of o and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let g be (8\/(-24) + 38\/6)\/1. Let k be (g + 1)*((-4)\/14)\/(-1). Solve 3*w = 3*s + k*s + 3, 0 = 2*w - a*s - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1067*n**2*u**3 + 16*n**2*u**2 - 1287*n**2*u + 5*n*u**3 + 2*n*u**2 + 9*u**3 wrt u.\nAnswer: -6402*n**2 + 30*n + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 4:34 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - -12) + -13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34427 by 34.\nAnswer: -34427\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2344443 - -205?\nAnswer: 2345052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*c + 9, 3*a + 6 = -c - 2*c. Let i be 19\/a - 3\/9. Let z = i - 4. Solve -z*u - 15 = -5*t, 3*t = -t + u + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 24. Let w(f) = -100*f**3 - 4*f**2 - 2*f + 3. Is w(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmoc when four letters picked without replacement from {o: 5, n: 4, m: 1, c: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3\/3 + m**2\/2 - 4*m - 1. Suppose 2*h - 4*h - 5*x = -162, 182 = 2*h - 5*x. Let p = 82 - h. Calculate y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4520999.\nAnswer: 7, 645857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (12 - 4) - 10 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/22 + (-4)\/(-11). Solve -20*c + 24*c = o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 0. Let x be (-23)\/6 + 10\/(-60). Sort m, 3, x in descending order.\nAnswer: 3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 0, -2*b + 444 = 4*a - 4*b. What is the remainder when a is divided by ((-58)\/(-4))\/(26 + 714\/(-28))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -2\/69, -232?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + k + 10*k)*(0 + 3 + 1)*(-25 + 25 - 48*k**3) as d*k + v*k**4 + o*k**2 + b*k**3 + j and give v.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d5 + 6?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1123504 to two decimal places.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glmlsmo. What is prob of sequence sm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 437.1489 years?\nAnswer: 0.4371489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 15, e: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/21 + 9)\/(2 - (6 + -2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/12 - 13*w**3\/6 + w**2 + 903*w - 2. What is b(3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + i - 9 = -2*i, 5*i - 23 = -3*d. Suppose 0 = -5*h + 2*h. Let v be 6\/2 - (2 + (5 - 8)). Put v, h, d in ascending order.\nAnswer: h, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274 or -40.21?\nAnswer: -40.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1216) - (1 + sqrt(1216))) + sqrt(1216)*1*2 + sqrt(1216))**2*5 + 0 + ((-1*sqrt(152)*6)\/(sqrt(32)\/sqrt(4)*1))**2.\nAnswer: -720*sqrt(19) + 55449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 489*l**3 + 4 + 23.\nAnswer: 489*l**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*h - 1043*h - 654*h.\nAnswer: -2316*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*t**2 - 3417*b**2*t - 267*t**4 wrt t?\nAnswer: 2*b**2 - 3204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1083.57 + -1147. What is p rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24167 (base 8) to base 4\nAnswer: 2201313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033020322 - 11?\nAnswer: 2033020311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -49*p + 52*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**4 + 5660*d**3 - 29*d**2 - 303971584*d.\nAnswer: -36*d**2 + 33960*d - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*j - 314*j - 44*j)*((-2*j + j + 3*j)*(-4 + 2 + 3) + 2*j + 0*j - 3*j)*(3*j**2 - 5*j**2 + j**2).\nAnswer: 168*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5584, -4876, -2940, 842, 7088, 16416?\nAnswer: 29444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 0*t**5 - 4*t**5 + (3*t + t**4 - 3*t)*(4 + 2 - 4)*(-4*t + 2*t + t).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 32 = 4*y, y + 0*c + 4*c + 39 - 12 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*o + 5*o. Let s be -2 - (-3 - (-2 - -3 - o)). What is the tens digit of (-1 + s*1)*(-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1426834*h**2*k**3 + 49*h**2*k**2 - 11160*h**2*k + 105*h*k**3 + 116*k**2 wrt k?\nAnswer: -8561004*h**2 + 630*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*x - 3*j, 6*x - 2*x - 61 = 3*j. What is the remainder when x is divided by (-22)\/(-4)*(-6 - 40\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.036 and -0.4.\nAnswer: -0.4144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1517789\/5 and -0.05 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-15)*(-1425)\/855)\/(3\/(-9))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than -5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9241.0558 rounded to the nearest 100?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tottoo. What is prob of sequence tt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - (-1 + -1))*1. Let i = 20 + 8. Let p = i + z. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35350?\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 2*g**3 - 8*g**2 + 6*g**2 - 5*g**2 to the form n*g**3 + a*g + c*g**2 + k and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*j**3 + 29*j**3 + 16*j**3)*(-17*j - 30*j + 4*j) to the form x*j**2 + k*j**4 + i*j + o + m*j**3 and give k.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180 - -227) + -36 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -270467 - 11?\nAnswer: -270478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, 43, -26.9?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/((-90)\/(-210))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**2 - 43*f + 218. List the prime factors of w(21).\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9416 + 4.8. Let k = r + 61.0416. Let f = k + -61. Which is the smallest value? (a) f (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6))**(1\/12)*(c**(3\/5))**(2\/61) assuming c is positive.\nAnswer: c**(127\/21960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 77?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j - 104. Give u(8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 + 4*z**2 - z**2 + 11)*(-2*z**2 - 2*z**2 + 3*z**2) as c + y*z + a*z**3 + f*z**2 + s*z**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/20076 and 41\/1860?\nAnswer: 3111780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405 and 25.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1136\nAnswer: -227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1002 + 130?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4511, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 0, -4*t + 290*h = 285*h - 8502. What are the prime factors of t?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*k**2*p*x**3 - 3*d**3*k**2*x + d**3 + d**2*k*p*x + 85*d*k*p*x**3 - 4*d*p*x**2 + 2*k**2*x wrt x?\nAnswer: -12*d**3*k**2*p + 510*d*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90767491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33921 - 13121. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-13) + (-32)\/(-208). Suppose 2*y + 0*y = 0. Let r = y - 0. Solve 0 = -0*m + 5*m - c*i - 28, r = 4*i + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**6\/15 + 2*w**5\/25 - w**4\/10 - 2*w**3\/15 + 2. Let z(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13628222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4173 - -2.4173. Which is the second biggest value? (a) p (b) -1\/3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 21*d + 14*d - 34*d - 2*d + 4*d - d + (3*d - 5*d + 0*d)*(-3 + 4 - 2).\nAnswer: 4*d + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-2)\/(-16)*(-60)\/50?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/19 (b) -6 (c) 5\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1107 + -1106.9. Which is the smallest value? (a) -0.2 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790 and 1905988.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -388 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3399027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5742, -5857, -6050, -6321?\n\"Answer: -39*a**2 + 2*a - 5705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -5*z + 2*b, -3*z + 72 = -5*b - 192. Calculate the remainder when z is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/112662 and -67\/330.\nAnswer: 563310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 12) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 22. Solve -j = d - 1, r = 6*d - 11*d + 4*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/6 + 21920*j**2\/3 - 219161*j\/6 - 306845\/3 = 0. Calculate j.\nAnswer: -2, 7, 43835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 3*x + 20, -2*x - 80 = 4*m. Is 22 a factor of (-9)\/45 - 11144\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(136)\/(sqrt(8)*2) + -4).\nAnswer: -3*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -19b4173?\nAnswer: 19b4178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*d - 2 - 4, -2*d = 5*z + 7. Let f(q) = 10*q - 6. Let n be f(-8). Let t = n + 92. Let s(r) = 1. Let j(p) = p + 7. What is t*s(c) + z*j(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by (36 - 20 - -33)*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4893)\/(-1323) + 1605\/(-749).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 213?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = 2*w, 2*w - 5*d + 12 = -8. Let k be (22\/(-55))\/((3\/w)\/(-3)). Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31920 and 4759272?\nAnswer: 47592720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Let u(h) = -6*h**2 + 7*h - 2. Let l(j) = 17*j**2 - 20*j + 6. Let n(r) = v*l(r) + 11*u(r). Let i(f) = f**2 - f + 1. What is 3*i(o) - n(o)?\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/(-11424))\/((13\/26)\/(-18 + 0)).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46\/35 + -8\/5. Let u = 13946\/11 + -1268. Which is the nearest to -1\/3? (a) u (b) -26 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-625)*(-7230)\/10845\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + (-51)\/(-9))*-2. Let i = -3.6 + 1.7. Which is the second smallest value? (a) 4 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - r + r + (-11 + 6*r + 11)*(-2 + 2 - 2*r) + (r + r - r)*(2*r - 4*r + 3*r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 30*h + 10. Let k = 108 + -80. Calculate the lowest common multiple of 60 and s(k).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(-8)\/((-1792)\/24)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5558, -11149, -16762, -22409, -28102?\n\"Answer: -2*s**3 + s**2 - 5580*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 7828?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 110*o + 303. Calculate c(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 183 - 26. What is the remainder when u is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7342729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 32*x**5 + 9692*x**4 - 1280*x**3 - 20600*x**2 + 1248*x + 10908 = 0.\nAnswer: -303, -1, 1, 9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 1 - 5. Let v(d) = -d. What is the units digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 - 51*d + 49. Let u = 9490 - 9485. Give z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -355003944283 and -0.3.\nAnswer: -355003944283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 7. Calculate w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4455.5221 times -0.5\nAnswer: 2227.76105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 1, n: 1, j: 1, i: 5}. What is prob of picking 4 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuguug. Give prob of picking 1 g and 1 u.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 28. Calculate n(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 535*z**2 - 5*z - 524. Let h(q) = 269*q**2 - 3*q - 261. Let x(g) = 3*c(g) - 5*h(g). Find the first derivative of x(v) wrt v.\nAnswer: 520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2454619 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 20*b - 38. What is a(-20)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9246992 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, w: 1, s: 2, q: 3}. Give prob of picking 1 s and 3 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 105 + (22\/2 - (4 + 2)). Let f(n) = -32*n + 58*n - p*n. Let i(u) = -u. Determine f(i(z)).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkklqkkiylkckyklkk. What is prob of picking 1 c and 1 l?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0 + 0*t - 5*t**2 - 3\/8*t**4 + 4\/3*t**3. Differentiate h(z) with respect to z.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688 + 648*d + 688 + 1336*d.\nAnswer: 1984*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 112. Suppose 2*b = 3*b - 2*y - 43, 2*y + 121 = v*b. Let x(d) = -19*d**3 + d + 2. What is the remainder when x(-2) is divided by b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14383 and 7809.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 547 (b) 2 (c) -0.5 (d) 2\/25 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2557, 2098, 1637, 1174, 709, 242, -227?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, f: 7}. What is prob of sequence fxf?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5\/7, -1, 1\/2, -21\/25?\nAnswer: -21\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t - 22. Let y be h(9). Suppose -10 + y = 5*w. Let g be (-3)\/((-196)\/w + -4). Which is the third smallest value? (a) g (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x. Let j(g) = 30*g - 1. Determine r(j(t)).\nAnswer: 150*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b**(-7))\/(b**(-1\/3)*b)**(-14) assuming b is positive.\nAnswer: b**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571096, 1142047, 1712998, 2283949, 2854900?\nAnswer: 3425851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(1\/6))\/d)**(-2\/57))**(-45)*d**(-1)\/(d*d**(-2))*(d*d\/(d**6*d))\/((d*d**(-2\/11))\/d) assuming d is positive.\nAnswer: d**(-1062\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 330456 (base 8) in base 11?\nAnswer: 76353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -5. Let g = l - 4.8. Sort -1\/7, 1, g in ascending order.\nAnswer: -1\/7, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1499\/12 + 125. Which is smaller: g or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z + z. Solve z + 4 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -7 + -9 - 18 - -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 29 - 29)*(-1 - 3 + 2) - 5*g + 0*g + 4*g + g + 2*g - 4*g + (1 + g - 1)*(-1 - 1 + 1).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 118*i - 15. Calculate a(-5).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 6608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1540)\/(-14)*(-19)\/(-760).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 2. Let h(b) = 4*b**2. What is h(c(d))?\nAnswer: 16*d**2 + 32*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/12 > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 141\/94*2\/42\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 3. Suppose -2*p + 6 = 2*b, p + 6 = -0*b - 4*b. Let w(q) = -q + 9. Let j be w(p). Give r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4682433 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 6. Let s be d(-6). Suppose 0 = 3*k + 13 - 1, 2*w = 4*k + s. Suppose 21 = 2*v - 5. Calculate the remainder when v is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.39, -2, 2\/55, -2\/5, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 5*q - 1262 - 8*q + 5*q**2 + 1270. Give u(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11284 divided by 1627\nAnswer: -11284\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.552792 decades?\nAnswer: 1026.33504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*b = 6*a - 30, -5*b - 6 = 3*a. Calculate the remainder when 7 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) - (sqrt(99) - -4*sqrt(99)))**2 + -2) + -5 + 5.\nAnswer: 4308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -97, -2\/1137?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3*l - 16, 450*l - 481*l - 104 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39 - (-1 + 12 + -8)*1. Solve 0 = t*h - 29*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2013391155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 76, 162, 280?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - -269) + (-11 + -65 - -28).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i + 0*i)*(-4 - 2 + 4)*(2*i + i - 2*i) to the form h*i + o + u*i**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.4. Let f = -4.7 + 0.7. Let k = -3 - f. Is k greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.003 (b) 3 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 6*n - 5. Let z(r) = 7*r**2 - 6*r - 6. Suppose p + 7*p = 208. Suppose 5*l - 4 = p. Let f(i) = l*t(i) - 5*z(i). Give f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50709819*h - 101419631*h + 50709810*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let s(z) = 92*z**2 - 4*z - 3. Let r(k) = -93*k**2 + 3*k + 2. Let d(c) = -4*r(c) - 3*s(c). Give d(a(t)).\nAnswer: 384*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.103992?\nAnswer: 0.623952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -80. Let r(q) = 18*q - 15. What are the prime factors of r(j)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 2*c**2 - c + 4. Let p(q) = 2*q**3 + q**2. Let n(m) = -15*m**3 - 2*m + 9. Let f(v) = -n(v) - 5*p(v). Determine 3*f(b) + 7*t(b).\nAnswer: b**3 - b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3606\/17 at least 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 1083718 - 6442. Let c = b + 2137821. Suppose -3*o + c = -563541. What is o rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136264 divided by -6\nAnswer: 68132\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 + 3. Calculate the remainder when 123 is divided by v(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8)*2*-2. Let z = 1.9 - 8.9. Let l = z - -7. What is the smallest value in -5, l, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -7*c**6\/60 + c**5 - 6*c**2 - 2*c + 4. Let i(p) be the second derivative of l(p). Find the third derivative of i(z) wrt z.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32423824?\nAnswer: 2, 757, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42171?\nAnswer: 3, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 318870 to the nearest 1000.\nAnswer: 319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150121941 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*u**3 - 26*u + 9*u + 15*u.\nAnswer: -117*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 214 = 2*c, -5*l + 4*c - 34 = -300. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Suppose -160 = -j*z - 20. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(10)\/sqrt(2) - (sqrt(5) + sqrt(5) + 0 + sqrt(5) + -1))**2 - (0 + sqrt(180) - sqrt(180) - sqrt(180))**2.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49872*p = -2*f - 49876*p - 68, f - 2*p - 38 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 156, 285, 448, 645?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -30.1. Let s = -6 - -5.6. Is t != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003652647 to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o + 231. Let r be c(32). Let p(y) = -y + 13. Let j(d) = 1. Let s(l) = -6*j(l) + p(l). What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 90*o**2 - 171*o - 8664 = 0 for o.\nAnswer: -8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 813.0461 + -770.044. Let b = -43.049 + 0.049. Let k = b + h. What is k rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 240683, 481325, 721961, 962591, 1203215, 1443833?\n\"Answer: -3*z**2 + 240651*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-9) + 12)\/((-4)\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmbrmlmrzbmlmm. Give prob of picking 1 b, 2 m, and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270729 (base 12) in base 2?\nAnswer: 10011101001100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3252*l**2 - 3*l - 117 + 1631*l**2 + 16*l**4 + 1614*l**2 wrt l.\nAnswer: 192*l**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*q + 482*q + 622*q in the form p*q + j and give p.\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 + -1263?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/5 (b) 1 (c) 0.01 (d) -3\/2 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*c + 4 = 0, 7*c - 12 = -5*h + 6*c. Solve -3*g - 2*a - h = -8*g, 5 = -g - 5*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 256760 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(-3*b**2 + 0*b**2 - b**2) as y*b**2 + t*b + p and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107.079 - 107. Let p = -0.479 + v. Which is the third biggest value? (a) 0 (b) 7 (c) 2\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58.79 + -59.67475. What is b rounded to two decimal places?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2 + 5*o**2 - 4*o + 3*o**3 - 2*o**3 - 2*o**3. Let g be w(4). Suppose 600 = 3*s + g*s. What is the highest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11073 = 25*s - 73823. Suppose -784 = -9*a + s. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -79999*t**3\/3 + 3*t**2 + 5*t - 5. Let r be o(-5). Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6) + 0 + 0 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -99\/2 (b) 3 (c) -0.9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*f + 28, f + 35 = 2*o - 9. What is the greatest common factor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 40\/(-14))*42\/12. Suppose -5*y + 3*y = 2*c - 34, b*c = -4*y + 66. Suppose y*i - 410 = 610. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 21 + 1, 24 = -3*r - 2*t - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 408147 + -29?\nAnswer: 408119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*t**5 + 0*t + 0*t**3 + 0 - 1\/3*t**4 + 0*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 20 + 12 = 0. Suppose 8 = 4*n - 3*n - 2*y, j*y + 4 = -4*n. Factor -13*m - 40 + 11*m - 5*m**3 + 10*m**n + 22*m.\nAnswer: -5*(m - 2)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let t = -194.97 - -196. Let g = y - t. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = 8. Let o be (-16)\/(-9) + 4\/18. Let r be -3 - -1 - 18\/(-3). Solve -r*u = -s*t - 0*t - 8, -13 = 5*u + o*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-372))\/(6\/24). Let g = 56\/279 - k. Factor g*a**3 - 2\/9*a + 0 + 0*a**2.\nAnswer: 2*a*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, -134, -320, -506, -692, -878?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m + 6. Let p(w) = -w**2 - 1. Let q = 2 + 2. Suppose 0 = 2*a - 0*a + q. Let b be p(a). Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 19829209*n**4\/3 + 118342928*n**3\/3 + 174673966*n**2\/3 - 1886896*n + 15123 = 0?\nAnswer: -3, 71\/4453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 5*o**4 + o**3\/3 - o**2\/2 - o + 25. Determine v(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 844 = 843 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (2*sqrt(288))**2*3 + (sqrt(18)\/(-2*sqrt(9) - sqrt(9))*-2)**2*6).\nAnswer: 41560\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 27698*b\/5 - 83139.\nAnswer: (b - 15)*(b + 27713)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/17)*p**(-13)*(p*p**(-2\/19)\/p)\/p**3 assuming p is positive.\nAnswer: p**(-4917\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 28 = 5*k + 25*u, -2*k + u = 14. What is the smallest value in -8, -4, k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + -97 + (37 + 26 - 85).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41714, 41705, 41696, 41687?\n\"Answer: -9*n + 41723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (198\/(-15))\/11*20\/(-6). Which is the nearest to 0.1? (a) -37 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:45 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4 - (-1 - (1 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106, 97, 94, 103, 130, 181, 262, 379?\n\"Answer: f**3 - 3*f**2 - 7*f + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:04 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-12) - (-3)\/12. Let x(a) = 6 - 6*a**j - 3*a**2 + 4*a + 15 - 15. Let r(o) = -o**3 - o**2 + o + 1. Calculate -4*r(w) + x(w).\nAnswer: -2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.13072 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/48 + 1\/2 and (-33 - 0) + (-3)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0105038 seconds in hours?\nAnswer: 0.0002806955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*p + 12 = 416*p - 2*j, 0 = 2*p + 4*j - 26. Solve -4*s + 5*k = 0, s = 2*k - p*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 4. What is the remainder when -2 + 10 - (-50)\/1 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7831 - 0.057414500897\nAnswer: -7831.057414500897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*4\/18 + (-48 + 4128\/72)\/28.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -117.9. Sort -2, 5\/3, j in ascending order.\nAnswer: -2, j, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 + 7. Let s be w(-5). List the prime factors of ((-98)\/(-3))\/(22\/s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, w: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p*p*p**(-2\/31)*p))*p*p))\/(p*p\/p**(-3)*p))\/(p\/(p\/(p**8*p))*p*p**15\/p*p*p) assuming p is positive.\nAnswer: p**(-1114\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 35 - 35)*(-2*s - s + 4*s)*(-4*s + 0*s + 3*s).\nAnswer: 5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -2*m - 0, -4*m + 4*s = -24. Suppose -3*l - 11 = -2*x + m, 2*l - 18 = -x. Let a = -309 - -309. Solve 5*u - 5*o = -o + 2, -4*o - x = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 275130*k**2 - 550200*k - 2200960.\nAnswer: -5*(k - 55024)*(k - 4)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -738\/127 - -113339\/381. Let j = -291 + v. What is the second biggest value in j, -0.21, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*t = -4 + 53, 2*t - 1 = -5*s. Which is the nearest to -3? (a) -2\/51 (b) -0.1 (c) s (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(0 + sqrt(7) + 4 + sqrt(7)*1*-4)*-1 + 1))**2.\nAnswer: -750*sqrt(7) + 2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 2*a - 27259. Let g(p) = -219*p + 1. Determine i(g(s)).\nAnswer: -143883*s**2 + 876*s - 27260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -6 (c) 0.03 (d) 331 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 10 + 3947*r**3 - 6*r + 11.\nAnswer: 3947*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 77*q = -3*v - 66*q + 153, -4*q + 27 = v - 5*q for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 11*s - 50. Let l(h) = h**2 + 9*h + 35. Calculate 4*g(i) + 6*l(i).\nAnswer: -2*i**2 + 10*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 210606655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2\/3 - 599340*o - 1798018\/3 = 0.\nAnswer: -899009, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 - 3*j**3 + 2*j**3 - 10 - 2*j + 4*j. Let o be w(7). Suppose -2*l + 34 = 2*b + 3*b, -19 = -5*l + o*b. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 55. Let i = -30 + b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*m - 18, 4*d = 5*m - 5 - 7. Suppose d*c = 5*n - 130, -2*c - 114 = -4*n - 8. Calculate the highest common factor of 60 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmx when three letters picked without replacement from {d: 5, x: 2, a: 8, m: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 5*j - 3 + 4*j - 2*j**3 + 1 + 3*j**3 as g + l*j + x*j**3 + v*j**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/11 + 82728*w\/11 + 1710980496\/11.\nAnswer: (w + 41364)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*o**2 + 76*o**2 + 80*o**2 + 82*o**2 - 321*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1325*o**2 + 12 - 42 - 1320*o**2.\nAnswer: 5*o**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 4*c**3 - c**3)*(-131*c**2 + 138*c**2 - 60*c**2).\nAnswer: 159*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013439892 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + -4 - -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/4, -1\/2, 15, -3, 10455\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 + 206*h + 116. What is t(30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/40 + y**5\/4 - 7*y**4\/8 + 3*y**3\/2 - 13*y**2. What is r in b(r) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + z + (0*z - z + 3*z)*(-28 - 192 - 118) as r*z + g and give r.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 5*f**2 - 6*f. Suppose -3*z = 40*z - 68*z + 75. Let t(j) = 2*j**3 - 3*j**2 - 3*j. Give z*k(s) - 5*t(s).\nAnswer: 2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1079\/150542 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17834ab (base 12) to base 14\nAnswer: 9177c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = 29. Let v = o - -4. Sort v, -1, 4, 0 in descending order.\nAnswer: 4, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.4246l to millilitres.\nAnswer: 64424.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u + 4. Let r be (2 - 4)\/(11\/(-187)). Let p = -37 + r. What is s(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/488 - (-1914)\/(-58377)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*m - 434635 = 0, -24 = -4*m - 8. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.027389 + -0.027389. Let i be (-180)\/(-42) - (-4)\/(-14). Let n = 0.6 - 1. Which is the nearest to u? (a) n (b) -1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000252629 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7))**(-22)*((b*((b\/b**(-4))\/b*b)\/b*b)\/b)**(-1\/6) assuming b is positive.\nAnswer: b**(493\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*r = -0*r + 10, 0 = 2*j - r + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + 623\/49. Suppose 5*w - 61 = -26. Let r = g + w. Solve n - y - r = -3*n, 5*n - 4*y = 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {m: 4, g: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/29))\/z)\/z**(-4\/3)*(z**1*z)**(-2\/61) assuming z is positive.\nAnswer: z**(7094\/5307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20412 - 10207 - m**2 + 7*m - 10203. Let r be (-190)\/(-25) - (-3)\/(-5). What is l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -20 (c) 2 (d) -21 (e) 2\/11 (f) 6 (g) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*r - 33, 85*r - 88*r = 2*w + 37 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 240\/(-160)*8\/(-12). Suppose 1 = -2*w - 4*y + 5, 2 = -3*w - 2*y. Put -1, w, n, -4 in increasing order.\nAnswer: -4, w, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5962 by 143.\nAnswer: -542\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4576 is divided by 200?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let q(i) = -5 + 5*i - i**2 - 4*i**2 + 8*i**2 + i. Determine 5*j(h) + q(h).\nAnswer: 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 36*v - 21*v - 15*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 102 - 102. Let j(r) = 5*r**2. Determine j(t(a)).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -9, 5, -94, -0.093 in decreasing order.\nAnswer: 5, -0.093, -3, -9, -12, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - 25\/(-2). Suppose 4*c = -y + 48. Is c\/1*(-1 + 7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720*a + 727*a + 5962 = 1469*a. Solve -266 + a = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1267032040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -37*z**6 + z**5\/20 + 2357*z**4\/12 - 5141*z. Find the third derivative of x(k) wrt k.\nAnswer: -26640*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 0 - (2 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 4\/53 (b) 2\/7 (c) -2160 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q + 26*q**4 + 2*q + 6*q + 7*q**4 wrt q?\nAnswer: 396*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let i be b(3). Suppose 0 = -k - i + 11. Does 8 divide 408\/k + 0 + (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 37. Let v be r(15). Let w(n) be the first derivative of n**4\/4 + 7*n**3\/3 + n**2\/2 + 9*n + 848. Determine w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, 37, 279?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose -8 = n*y - 7*y. Let r(x) = -5 + 4*x**2 + 0*x**2 + 7*x + x + x**y - x**3. Calculate r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3316*s + 382*s**2 - 188*s**2 - 192*s**2 + 1791560 - 417078.\nAnswer: 2*(s - 829)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3 + 0 + 5)*(h - h - 2*h)*(1 - 3 - 1).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1083, 1012, 893, 726, 511?\n\"Answer: -24*l**2 + l + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3)\/(((-14)\/(-28))\/((-7)\/(-14))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 103058567 and -135781.\nAnswer: 102922786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 3 - 3)*(-35*c**2 + 25 - 25)*(c - c + 10*c + (0*c - c + 2*c)*(1 + 3 - 3) - 5 + 5 + 2*c) to f*c**3 + p + v*c + a*c**2 + m*c**4 and give m.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -3 + (-213)\/3. Let z = i + 97. Suppose 0 = -o + z - 12. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 54 (b) -7\/12 (c) -0.4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*w - 0*j - 2*j, -104 = -5*w + 3*j. Which is the nearest to 1? (a) 5\/4 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/105)\/(6\/15)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*p + 192*j**2 - j*p - p - 155 with respect to j.\nAnswer: 2*j*p + 384*j - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*k + 29611, -4*k - 24 = -0*k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 15575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 2*h - 5*h + 234*h**2 - 272*h**2.\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379784512.\nAnswer: 2, 2309, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -38*g - 405 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152722848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49410 - -3?\nAnswer: -49407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1393, -2325, -3579, -5155, -7053, -9273?\n\"Answer: -161*c**2 - 449*c - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = -5*h. Put -4, h, -1 in descending order.\nAnswer: -1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14924963 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -24, 5, 0.6, -2\/3, 688?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 - (-15)\/(-36). Suppose -2*k + 3 = m, -49*m = -4*k - 53*m - 4. Suppose -3*l = -5*j - 24, j - k*j = 4*l - 3. Put l, -2\/7, 2\/5, z in descending order.\nAnswer: l, 2\/5, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let k(n) = -n**2 + 6*n + 11. Let z be k(7). Let y = 71 - 425\/6. Which is the closest to g? (a) y (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -32*l**6 + 2*l**3 - 57*l**2 + 2. Let w(k) = 63*k**6 - 5*k**3 + 115*k**2 - 5. Let q(c) = -5*i(c) - 2*w(c). Find the third derivative of q(d) wrt d.\nAnswer: 4080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/8)\/((-119)\/68).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 2369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.94 - 0.06. Let x = 14298 - 14297.8. Let t = -0.2 - -0.5. Which is the smallest value? (a) n (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**6\/45 + d**4\/6 - 2*d**3\/9 - 47*d. Factor x(h).\nAnswer: -2*h*(h - 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 184*k - 2. Let w(c) = 489*c - 6. Let g(i) = 8*s(i) - 3*w(i). Let r(y) = y + 18. Let f(a) = -2. Let n(h) = 18*f(h) + 2*r(h). Determine n(g(q)).\nAnswer: 10*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3018340 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 495*b**2*s + 57*s wrt b.\nAnswer: 990*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 221?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 339286537 a multiple of 1893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -287 + -82. Is (-4)\/36*3*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34517.6 rounded to the nearest 100?\nAnswer: -34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.264177 - 105610.\nAnswer: -105609.735823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 3*l**2 - 2*l - 2. What is the tens digit of c(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 0*z + z + z + z. Suppose 48 = 3*q + 3*q. Let o(j) = 8 - j**2 + 0*j**2 - q. Calculate o(w(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 19 + -1 - 3 - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 - 58812*y**2 + 5027920*y = 0. Calculate y.\nAnswer: -14788, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 8 + -19 - (1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-8) + 1 + -3. Let v = -0.5 - -0.5. Let o = 27.359 - 27.259. Which is the nearest to k? (a) v (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580979590 rounded to the nearest one hundred thousand?\nAnswer: 1581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*s**2 + 216*s**2 - 23*s**2.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 - 6*t - 2. Give j(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12 - -29) + -31 - (-32 - 0)) + 2 - 14.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 413*x + 156. Let i(r) = -1316*r - 468. Let k(v) = 5*i(v) + 16*q(v). What is k(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.12 - -0.12. Which is the third biggest value? (a) 2\/3 (b) m (c) 0.6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 18 = -28*p. Solve 4*b = -2 + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133, 552, 1259, 2254?\n\"Answer: 144*w**2 - 13*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 10*f**2 + 7. Let g be 49\/(3 - -4) - (-3 - -2). Let h be c(g). Let x = h + -141. Let n(y) = y**2 + 6*y + 8. Determine n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)\/m)**(-45))**(-43\/3) assuming m is positive.\nAnswer: m**(-1935\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34560 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65062 (base 7) to base 12.\nAnswer: -9431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 44993960?\nAnswer: 44993960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13*u = -10*u + 63, 0 = 3*u + 3. Let g = -110 + 105. Put g, m, -3 in descending order.\nAnswer: -3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4)**(29\/4))**(-47)*(k**(-6)\/(k*k*k**(-3)*k*k*k))**15 assuming k is positive.\nAnswer: k**(-1483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 21*y**2 + y. Let p be -2*(-12)\/(-9) - 30\/(-45). Calculate the remainder when 3*(p - 20\/(-12)) - -65 is divided by l(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859*z + 909*z = 150. Solve 7 = -79*n + 82*n - m, -z*m - 8 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m, -2*m = 3*w - 1063 + 640. What is the highest common divisor of w and 5311?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 513*a - 19655. Determine t(58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -18 + (9 + -1 - 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p - 30*p - 4*i + 8, 0 = -4*p - 3*i - 25. Sort -3, p, 0, -0.19 in ascending order.\nAnswer: p, -3, -0.19, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-1)*(39\/(-36) + 1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*l = l + 10, 4*l - 20 = m. Let o = 0 - m. Let y = 3 - 3. Is y smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 + -194. Let y be ((-524)\/18)\/(34\/r). Which is smaller: y or 45?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8644 is divided by 2878?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.204, 3, 13?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g - 147997. Let p be v(0). Let q be p\/4 - (-18)\/(-24). What is q rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-10) + (-4 - 18432\/(-30)).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465980969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138 or -111?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9754830749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 4*y**2 - 152*y + 63. Determine v(14).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-5)\/(70\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1116)\/(-1302)*42\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-224)\/21 - -9) + (-57)\/(-27). Let g = 4 - 1. What is the biggest value in 6, k, g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31738 is divided by 1135?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404454*p = -404429*p + 700 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245029\/75 - 3267. What is the common denominator of c and (-366)\/70 + 7 + -1?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-2)\/u*u*u)\/(u**(1\/16)*u)*(u*u**4*u)**28)**31 assuming u is positive.\nAnswer: u**(83793\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023671605 to 5 decimal places.\nAnswer: 0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 2*a - 3*a + 8, 22*a - 9*a + 619 = -74*l + 9*a - 363 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149332577363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546591635 and 1180.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47124\/(-308))\/(2*(-72)\/16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twt when three letters picked without replacement from wttwtwwttttw?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z**6\/2 + 102*z**5\/5 + 99*z**4\/2 - 8*z**3 - 189*z**2\/2 - 78*z - 512. Find y such that q(y) = 0.\nAnswer: -1, -2\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = g + 66481, -3*t + 7*t = -2*g + 53168. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 31487?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*v + 34 = -4*c, 0 = 3*c - 5*v - 22. What is the units digit of 4\/c + 3772\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/7, -2\/13, -2\/7, -0.15 in increasing order.\nAnswer: -2\/7, -2\/13, -0.15, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 339600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6160, -12322, -18482, -24640, -30796?\nAnswer: -36950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 25958954?\nAnswer: 77876862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = q - 10, -3*l - q - 9 = -17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*z + 65, -2*r + 2*z = -0*r - 44. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2042.4 - 2042. Sort 0.5, 2, v, -12, -0.2 in descending order.\nAnswer: 2, 0.5, v, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*f - 3 = -172*f. Which is the closest to -1? (a) 0.5 (b) f (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15 - 5*c + 0*c + c + c. Let m be d(5). Is 27 a factor of 12\/m - 552\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 51*x + 219. Determine b(-6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0*o**2 + 1\/6*o**3 + 2*o + 0. Let p(d) be the first derivative of 4*d**3\/3 + 55. Calculate p(f(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 3*g**2 - 5*g + 5. Let h be a(2). What is the highest common divisor of 45 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y. Let z(j) be the second derivative of 5*j**3\/2 + 517*j. Determine z(m(s)).\nAnswer: -120*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292727131.\nAnswer: 17, 29, 593767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-5 - -3 - 3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/1680 - i**6\/60 - i**5\/15 + 14*i**2. Let b(y) be the third derivative of g(y). Find the first derivative of b(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88839*n**2 + 29620*n**2 + 29609*n**2 + 29606*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 4*i**2 + 2*i**4 - 1 + (-2*i**2 - 6*i**2 + 0*i**2)*(-2*i**2 + 3*i**2 - 8*i**2) to the form w + c*i**4 + z*i**2 + s*i**3 + l*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 631980 = 10*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 5*p - 5. Let j(r) = -r - 1. Let n(i) = -3*i**2 - 17*i - 17. Let w(u) = -j(u) - n(u). What is 18*o(q) + 5*w(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36624, -73245, -109864, -146481, -183096, -219709?\n\"Answer: b**2 - 36624*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -766.633 to zero decimal places.\nAnswer: -767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/8 - 4*r**3\/3 - 18*r**2. Let a be l(6). What is the derivative of 20*z**3 - a*z**3 + 8*z**3 - 37 + 11*z**3 wrt z?\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 + 5*v - 7. Suppose p = -p - 8. Suppose 23*f - 7*f = 144. Let w = f + p. What is a(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1148 - 1147.91955. What is d rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167192464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.44 - -3.15. Let w = h - 0.2. What is w rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + h + 3 + 4.\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 300 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in -5, 0.4, -10, -36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 + 26*l**2 - 13*l**2 - 4*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1\/6 (c) -2\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -19*n + 132. Let j(i) = -20*i + 135. Let y(w) = -7*j(w) + 6*r(w). Let p be y(6). Factor 12\/5*u - 1\/5*u**4 + 0 + 7\/5*u**p - 16\/5*u**2.\nAnswer: -u*(u - 3)*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -40*m + 658. What is x(18)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -6)\/(-2 - 0). Let b(w) = 2*w - 1. Let z be b(a). Put 2, 0, z in increasing order.\nAnswer: 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -34. Let d(x) = -x**3 - 9*x**2 - 9*x - 5. Let t be d(-8). Suppose -t*j - h = -193. Calculate the remainder when j is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1586956 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 - 1181\/7. Let m be (-3)\/(-6) - 9\/(-2). What is h in o*h + 2\/7*h**m + 0 + 8\/7*h**2 + 8\/7*h**4 + 12\/7*h**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*a - 292 = 116*a + f, -192 = -2*a - 2*f. Solve 0 = -95*j + a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - v - 9 = 0, 0*l - 2*l - 14 = 4*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 + 3. Let y(r) = 3*r**2 + 0 + 1 - 5*r**2. Let d = 40 - 41. Let z(n) = -n**2. Let q(u) = d*y(u) + 3*z(u). Calculate p(w) + 3*q(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 28, 22, -4, -56, -140, -262?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + (349957 - 7) - -13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/15 + -1)*(-150)\/(-120).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) + -1) + ((sqrt(10) + 1*sqrt(10))\/sqrt(2) - sqrt(5)) + -1*(sqrt(5) - sqrt(45)\/sqrt(81)) + 5)**2.\nAnswer: -8*sqrt(5) + 344\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1774592447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/416)\/((-31)\/(-155)*(-5)\/12)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*r + r - 12, 5*p + r - 20 = 0. Let c = 6 - p. Suppose y - c = -0*y. Solve 3*w - w = -t - y, -t = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1*q*q*q)**6)**4)**13 assuming q is positive.\nAnswer: q**1248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2735151 and 95559?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329328 or -329335?\nAnswer: -329335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7267685 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:08 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 65691*y. Let j(i) = i**2 - 57. Determine j(m(o)).\nAnswer: 4315307481*o**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*24\/40*4\/54. Factor a*c**3 - 2\/3*c**4 + 2\/9 - 2\/3*c + 2\/9*c**5 + 4\/9*c**2.\nAnswer: 2*(c - 1)**4*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*v - 9820 = -165*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*f - 14 = 0, 0*f + 8 = -2*f. Let v be 3*(14 - (d - 3)). Let x = v - 72. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728800004.\nAnswer: 2, 67, 2719403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0. Let t be 2 - (-2)\/16 - 2. Let j = -11 - -7. Which is the second smallest value? (a) x (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-249 + 5)\/(((-72)\/(-27))\/(-8)). What is the highest common factor of v and 4941?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5066.025 years to decades.\nAnswer: 506.6025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*c + 4*c + 7*c)*(6 - 4 - 3) to j*c + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -168.3465799 + -1.7\nAnswer: -170.0465799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3)**(-4)\/(((w\/w**(-5\/4))\/w)\/w**(-1\/4)))**16 assuming w is positive.\nAnswer: w**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8761770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 10*p**2 - 7*p - 65. Let h be j(-10). Let d(r) = 3*r**2 - 3. Let b(z) = 4*z**2 - 5. Give h*b(t) - 7*d(t).\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143.2 - 143. Which is smaller: 47 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336640.9l in millilitres?\nAnswer: 336640900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ttxttxzvp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 18*v + 5. Let w be j(-19). Let p be (w\/(-28))\/((-1)\/2). Let x = -2 + 2.4. Which is the third smallest value? (a) p (b) x (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = 4*t - 1531. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81595302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -414 + 1070. Let h be ((-5)\/2)\/(((-8)\/s)\/1). Which is smaller: h or 206?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -2.5. Which is the closest to o? (a) 2\/25 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:06 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a decade in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 25, 2, -2, -1 in descending order.\nAnswer: 38, 25, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let r be y(0). Suppose 0 = 5*o - r - 19. Find the common denominator of 1\/o - 1470\/(-72) and -32\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158 + -155. Solve u*d = -5*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f)\/f)**(2\/17)\/(f**0\/f)**(-1\/23) assuming f is positive.\nAnswer: f**(-279\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)*k)\/k)**32)**27*((k\/k**(4\/9)*k)\/k*(k*k*k**(-9))\/k)**27 assuming k is positive.\nAnswer: k**(-1929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*k**3*o - 10*j**2*k**3 - 2*j**2*k*o - 2*j*k**3*o + 2*j*k**2*o - 248*j*k**2 wrt k.\nAnswer: -12*j**2*o - 60*j**2 - 12*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2780 at most as big as -2780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j*j*j**(-4)*j))))\/(j*j**(1\/9)*j))**(-20) assuming j is positive.\nAnswer: j**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 84*k**2 + 5.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002834631196 rounded to 6 decimal places?\nAnswer: 0.002835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/210)\/((-340)\/(-6)). Let d = -10504507257 + 187505454480913\/17850. Let f = d + a. Calculate the common denominator of 3\/7 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43\/2 - -293\/14. Suppose 0 = -v - 4*b - 17, 4*v + 9 = -3*b - 7. Let n = -1 - -1. Sort n, u, v in decreasing order.\nAnswer: n, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.26594 + -13425.\nAnswer: -13420.73406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*z = 2*r - 26, -4*r + 8 = z. Let m be r\/21 - 375\/(-21). Suppose -3935 = 13*t - m*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*c = -35, 46*c - 41*c = 2*l + 14 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3300749, -3300713, -3300657, -3300581?\nAnswer: -3300485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/3)))**(-34)\/((l\/l**1)\/l)**20 assuming l is positive.\nAnswer: l**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 1. Let d(m) = m**2 - 10*m - 4. Calculate 2*d(r) - 7*i(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**4\/9 + 556*k**3\/9 + 5632*k**2\/9 = 0.\nAnswer: -128, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 9. Suppose -6*o + 8*o = 8. Let u be c(o). Calculate the highest common divisor of 102 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2\/8 + 1253*q\/4 + 20723 = 0.\nAnswer: -2438, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -769, -1229, -1759, -2365, -3053, -3829?\nAnswer: -4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-195)*3*1 - (-560888)\/104 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96206171*p**6 + 291*p**2 - 2*p - 36346 wrt p.\nAnswer: -11544740520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 2*x**2 - 3*x - 5. Suppose -51 + 19 = -4*h + 4*s, -2*h = -5*s - 25. Let t(d) = -4*d**3 - 5*d**2 - 7*d - 11. Determine h*f(b) - 2*t(b).\nAnswer: -2*b**3 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*d**2 + 536*d + 542*d - 2152*d + 540*d + 536*d.\nAnswer: 152*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 41371?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*z + 72 = -143, 3*i - 255 = 3*z. Let c(y) = -y**2 + 12*y. Let o be c(10). Calculate the highest common factor of i and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, y: 5, r: 1, d: 4}. What is prob of sequence nrnd?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40541*s**3 - s**2 + 6503133*s wrt s?\nAnswer: 243246*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 3253456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75982493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 3) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*51\/(-2). Suppose 0 = -2*k + x + 3. Let c(l) = -7*l**3 - l**2 - 12*l - 15. Let d be c(-1). Solve -d*w + k = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:29 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*n + 9. Let b = -9 - n. Let k = 3 + b. What is the remainder when 12 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.86103 from 8046.16.\nAnswer: 8043.29897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -0.0737, 0.4, -280, -0.4?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13860, -27719, -41578?\nAnswer: -55437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 584, 1013, 1428, 1823, 2192?\n\"Answer: -h**3 - h**2 + 439*h + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386524973 to the power of 1\/2, to the nearest integer?\nAnswer: 48852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:36 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8851.\nAnswer: 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 25*o**3\/6 - 3981*o. Let u(j) = -78*j**2 + 2*j. Calculate u(r(p)).\nAnswer: -48750*p**2 + 50*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4 - 70*r**3 + 3*r**2 + 4.\nAnswer: 24*r - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 235 - 61. Let k = t - -469. Suppose 3*h + 3*d - 684 = 0, -3*h - 5*d + k = -308. What is the greatest common divisor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 12*f + 19. Let s be p(10). What is the third biggest value in s, -5, 4, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6694422.\nAnswer: 2, 3, 7, 19, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**2\/3 - 842*q\/3 + 70.\nAnswer: 2*(q - 105)*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*-1 + sqrt(170))\/(-4*(sqrt(10) + (sqrt(10) - sqrt(360)))).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaagapgauubugpua. What is prob of sequence bg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/(16\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (10*(-2)\/100)\/(2\/10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.252 - 0.352. What is the closest to x in 0.5, 0, 6\/17, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 11748\/89 + (4 - 0)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1651 - -1663. What is the nearest to -1\/5 in -0.33, -2, t?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.3*0.03.\nAnswer: -2.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21422*m**4*q - 9*m**2*q**2 + 397167*m*q**2 + m*q - 2*q**2 wrt m.\nAnswer: 257064*m**2*q - 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 8. Suppose f + 14 = 5*t. Suppose 0*m + 2*m = t. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 59*u**2 - 13*u - 3159. Determine s(-58).\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572) - -1*sqrt(572))\/sqrt(11) + (sqrt(52)*2)**2*1 - (4*(sqrt(13) + -6*sqrt(325) + (sqrt(143)*-2)\/sqrt(11)))**2.\nAnswer: -199680 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((1*sqrt(204) + sqrt(204))*5 + sqrt(204))\/(sqrt(12) - sqrt(24)\/(sqrt(32) + sqrt(2))) - (5*sqrt(119)*1)\/(sqrt(7) + sqrt(784)\/sqrt(7))).\nAnswer: 51*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 60, 55, 48, 39, 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51486 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -222 - 3\/4*i**4 + 0*i + 1\/5*i**5 - 10\/3*i**3 + 0*i**2. Find r, given that g(r) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -170*h + 5458. What is the smallest common multiple of v(32) and 7492?\nAnswer: 67428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -18. Suppose 3*v = 4*v + 5*s + 24, -2*s = v + k. Let x = 23.4 - 23. Which is the closest to 0.1? (a) v (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 64, 8, -80, -206, -376, -596, -872?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*(i\/(i**(1\/3)\/i))\/i)\/i*i*i*i)**(-10\/9)\/((i*(i*i\/i**(4\/7))\/i)\/((i\/i**(-2\/3))\/i)))\/(i**(-8)\/i**6)**(-39) assuming i is positive.\nAnswer: i**(-104318\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -37, -53, -69?\n\"Answer: -16*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.07, 1, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37269 - 18206. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jopoj. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/831330 and -89\/110.\nAnswer: 9144630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) - (sqrt(180) - (sqrt(180) + sqrt(180)*2))**2) + 3*(-2*sqrt(5))**2 + (-6*(sqrt(1920)\/sqrt(6) + 2))**2.\nAnswer: 1153*sqrt(5) + 11007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)**(-12\/7))**(1\/8) assuming y is positive.\nAnswer: y**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 8*u**2 - 10*u + 2. Is m(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105029513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3427*h + 455. List the prime factors of l(6).\nAnswer: 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10351928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l + l)*(-2*l - 4*l + 4*l) + 8018*l + 9*l**2 - 89 - 8018*l.\nAnswer: 3*l**2 - 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:45 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1644704*-0.5\nAnswer: -822352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k - 2. Let a(p) = 9*p**2 + p. Let d be a(-1). Suppose 4*y - m + 3*m = 0, 4*y - 2*m = 0. Suppose d = 4*s - y. Calculate o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4516, -18516, -42000, -74968, -117420?\n\"Answer: -4742*m**2 + 226*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2794 = -2*t, -2*t - 2*t = -2*p - 5604. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.5 - -32. Round t to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - 3*m + 5*m)*(-413*m**2 - 3488*m + 3488*m) in the form g*m**2 + x + c*m**3 + n*m and give c.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -83*a**7\/15 + 953*a**4\/24 - 315*a**2. Find the second derivative of j(r) wrt r.\nAnswer: -13944*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2. Let w(m) = 108*m**2. What is k(w(z))?\nAnswer: 69984*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 15666.73177 to one decimal place.\nAnswer: 15666.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14494\/9 or 1610?\nAnswer: 1610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 506757101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 6*y + 6. What is the tens digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7*w - 14*w + 39*w)*(-81*w + 141*w - 81*w) to l + q*w + s*w**2 and give q.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdcnvcnvcvvvzdcuu. Give prob of picking 1 d, 1 u, and 1 n.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-75) + -10*(-5394)\/3875.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/54 + 114\/27 - -6. Is (-6)\/k - 7228\/(-130) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561985?\nAnswer: 5, 112397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -1497.\nAnswer: 13473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287*a**3 + 3 - 59*a**3 - 1 + 429*a**3 + 3 to g*a**2 + z*a**3 + p + w*a and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -158024.\nAnswer: 1\/79012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 525 = -479. Is 20\/(-5)*t\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110222110211210 (base 3) to base 7\nAnswer: -112430664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -6 - (1 + 0)) + (57 - 62)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18899560 divided by 40?\nAnswer: -472489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 24a95?\nAnswer: 24aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, 15906890 in ascending order.\nAnswer: -0.1, 3, 15906890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*f + 1866 = 4078 + 8447 - 1379 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 15. Let d(i) = -i - 8. Let o(n) = -5*d(n) + 3*s(n). Let k be o(-7). Solve 0 = 2*l - k*v - 6, 5*v - 3*v = 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2958 + 4537. Suppose x - y = -64. Suppose 8*m = 3*m + x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r**4 + 154*r**3 + 120*r**2 - 392*r + 128 = 0 for r.\nAnswer: -2, 2\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(4000) + sqrt(4000)*-3 + sqrt(4000))\/(-2*sqrt(1152)) - (sqrt(605) + ((sqrt(605)*1)**2 - sqrt(605)) + 0)*-1).\nAnswer: -3630 - 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 1528 + 446. Suppose -i + 782 = 4*j. Suppose 5*d - 1 = -a + 24, -5*a + 3*d + j = 0. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 32, -2, 51 in ascending order.\nAnswer: -2, 6, 32, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.38363 and 58052381.\nAnswer: 58052380.61637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 328.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 317, 336, 369, 416, 477?\n\"Answer: 7*s**2 - 2*s + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110 - ((-453625)\/(-2090) + -107).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1904 and 13262312.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roiirtoini. Give prob of sequence on.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = -2*d + 19*v + 1175, -3*d + 2*v = -1763. Solve d*s - 586*s - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = 0, 2*b = -b - 5*x + 1. Let v be (1\/2*-14)\/(-1) + -3. Put b, v, 3 in decreasing order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350.99991431 + -351. Round n to six dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.351 - -0.051. Which is the closest to -0.2? (a) 1 (b) o (c) 0 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*495\/(-11). Suppose -r + p = -6*r. Let d(w) = -2*w + 5. Calculate the common denominator of d(r) and 43\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14389 is divided by 959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 10. Suppose -35 = -2*l - l - f*n, 0 = 4*n - 8. Let s = 51 + -46. Solve 2*k + l = s*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1504488 divided by 2\nAnswer: -752244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (130\/15 + -4)*18\/(-7). Is (159\/(-2) - 2)\/(6\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1511 by 2.\nAnswer: -1511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/(644\/(-2415))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -39, -73, -125, -201, -307, -449?\n\"Answer: -y**3 - 15*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 141. Suppose 0 = 5*i - 4*a + 178, 36 = 2*i - 5*a + 114. Let p = t + i. What is the remainder when 30 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/28)\/(((-90)\/(-40))\/9)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 3, -2, 0 in ascending order.\nAnswer: -2, 0, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.043 + 3.257. Let g = 3.7 - o. Which is the closest to 2\/3? (a) 4 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -313202, -313204, -313208, -313214?\n\"Answer: -x**2 + x - 313202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 1. Let d(n) = 2*n**2 + n - 1. Give -5*d(v) + 6*p(v).\nAnswer: 2*v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4023 (base 6) to base 12.\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -724129\/36 - -20118. Calculate the common denominator of -73\/40 and d.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*m - 33 = 221, 4*j - 1048 = 4*m. Let u be j\/15 - (-3)\/(-9). Let h = 42 - u. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 3*h**3 - h**5 + (2*h - 5*h + h)*(-2*h**3 + 2*h**3 + 2*h**4) + 1509*h**4 + 2826*h**5 - 1508*h**4 - 173*h**5.\nAnswer: 2648*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**3 + 2*f**2 - 1. Let n be z(1). Let i = n - 11. Let r = -1041 - -1045. Solve -25 = 5*k, -4*w + 7*k - i = r*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -32. Suppose -55 = b*k - 25*k. Find the second derivative of -52*h - 74*h - 6*h**3 + 87*h + 2*h**k wrt h.\nAnswer: 40*h**3 - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110887179.\nAnswer: 3, 13, 2843261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120221201 (base 3) to base 14.\nAnswer: 24d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.93398mg?\nAnswer: 0.00793398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.9 + 29.31. Let q = 1.01 - m. Sort q, 1, -5\/11, -0.5 in ascending order.\nAnswer: -0.5, -5\/11, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/4357586 or 0?\nAnswer: -105\/4357586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30761 is divided by 1534?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121411582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/27 and -82\/195?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -222 - (11 + -113)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1767, -1260, -407, 792, 2337, 4228, 6465?\nAnswer: 9048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -349*w + 4546. Let r be x(13). Let c(v) be the first derivative of -3\/8*v**4 + 3*v**3 + 12*v - r*v**2 - 30. Let c(n) = 0. Calculate n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19316?\nAnswer: 2, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7772907.\nAnswer: 3, 47, 55127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15958315 is divided by 443286.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 13*b - 10*b - 4502, 0 = t + b - 4500. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**45\/(o**(-2\/13)*o\/o**(2\/5))*(o*o**2*o*o**3)\/((((o*o\/(o\/(o**1*o)*o))\/o)\/o)\/((o\/((((o\/(o**(-1\/3)\/o*o))\/o)\/o)\/o))\/o)) assuming o is positive.\nAnswer: o**(-1322\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22220 + -143?\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*i - 1187 + 3389 - 1173 - 1029.\nAnswer: 291*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.42487583 rounded to one decimal place?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 11*o**2 - 2. Let s be u(11). Put 1, 0, -4, s in descending order.\nAnswer: 1, 0, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y\/y**6*y)\/(y\/((y**3*y*y)\/y)*y\/(y**(2\/9)*y)) assuming y is positive.\nAnswer: y**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 13068?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 11 - 12 = -4*t, 0 = 3*t - i - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 361 = -373. Put -5, -2, 3, l in decreasing order.\nAnswer: 3, -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158691373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 4287 and 4268 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72360738097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498 - -501. Calculate the greatest common divisor of 48 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4906.4 from -1.86.\nAnswer: -4908.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 16*h**5\/5 + h**4\/12 + h**3\/3 + 34*h**2 + 60*h - 1. Find the second derivative of d(j) wrt j.\nAnswer: 384*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h**2 + 4*h**2 + (-4 + 4 - h)*(-1 + 1 - 2*h) + 2*h**2 - 2*h**2 + 2*h**2 - 55*h**2 + 1 - 14*h + 22*h - 13*h as q*h**2 + y + u*h and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 16.3. Let g = -9 - x. Let q = g - 7.5. Which is the third smallest value? (a) -5\/3 (b) q (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36149 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 423\/108*9 - 9\/(-12). What is the highest common factor of 1452 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 3, x: 2, n: 5}. Give prob of sequence nxxr.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*g - 25. Solve w - 5 = 2*v, g = -w - w - 2*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70383365?\nAnswer: 5, 13, 71, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 29. Let x = b - -26. Calculate the lowest common multiple of 15 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1141 - 1123. Does 14 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d + 1. Let f(i) = -6*i**2 - 2*i + 2. Give 3*f(a) - 6*p(a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 5. Let j(o) = 27*o + 6. Let a(y) = -3*y - 1. Let i(f) = -6*a(f) - j(f). What is d(i(h))?\nAnswer: 9*h + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011864 to 6 dps.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8436*k**4 + 31188 wrt k?\nAnswer: 33744*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 52.5. Let l = -19 - r. Round l to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 12. Let f(t) = -4*t**3 + 2*t + 2. Let m be f(2). Calculate the remainder when (871\/m)\/((-2)\/8) is divided by h(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020281017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11. Let r(v) = -v. Let y(p) = a(p) - 6*r(p). Let t(j) = -j - 2. What is 33*t(x) + 6*y(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 plus -291?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 12\/(-18 - -12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 20*a**2 - 10*a - 57. What is the tens digit of v(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or -89\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {f: 1, u: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275121 (base 8) to base 3.\nAnswer: 11220212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2456, 2436, 2378, 2264, 2076, 1796?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/20 - 7*x**4\/12 + 5*x**3\/3 + 11*x**2\/2 + 7*x + 1. Let a(w) be the first derivative of q(w). Is a(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 2, a: 3, u: 2, q: 4, t: 2}. What is prob of sequence dt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 641582, 641580, 641578, 641576?\n\"Answer: -2*v + 641584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5746 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 37 + 77 + -151.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*x - 287*x = -304*x - 176573 + 66437 for x.\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4 = 4*a, 889*n = 890*n - 71*a + 229 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29543 and 68872357?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 6 = 9*o. List the prime factors of ((-15)\/(-20))\/((-14)\/8 - o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**3 - 24*a**2 - 28*a - 10. Let b(o) = 5*o**3 - 24*o**2 - 27*o - 11. Let x(z) = -2*b(z) + 3*g(z). Let x(c) = 0. What is c?\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 - 5)*(-184*q + 15*q - 48*q).\nAnswer: -1302*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1388 + -498. Calculate the remainder when j is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 13*x + 325. Give b(-31).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2\/2 + 81*y\/2 = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (2 - 2) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75066 is divided by 458?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -5103, -5, 383, -4 in decreasing order.\nAnswer: 383, 4, -4, -5, -6, -5103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - -441?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.041 + -0.05. Let r = -1091 - -1090.929. Let x = q - r. Round x to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + 10 = 0. Let m = 4 - t. What is the third derivative of 6*h**6 + h**6 - 4*h**6 - 2*h**m wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93189456.\nAnswer: 2, 3, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d - 23. Let f be r(6). Sort f, 2, 1 in ascending order.\nAnswer: 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(9*l - 2*l - 4*l) + (2 - 2 - 1)*(-4*l + 3*l - l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34944)\/(-7488))\/((-140)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113175.2 to the nearest 1000.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -107. Calculate the least common multiple of 1 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3076121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydym when four letters picked without replacement from {d: 1, m: 1, f: 1, p: 1, y: 2, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5964171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 4*l**2 + 9*l + 6. Let i be 8\/7*(-1617)\/(-308). Let a(b) = -2*b**3 - 4*b**2 + 10*b + 7. Determine i*a(h) - 7*x(h).\nAnswer: 2*h**3 + 4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 52.1343 (b) 0.19 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 16 = -4*u, u - 4 = 3*z - 21. Suppose z*v - 9 - 35 = 0. Suppose -7 - v = -2*y. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 p, and 1 g when four letters picked without replacement from agggpgpgagaag.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15.5. Let n = -6 + k. What is the third smallest value in n, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*r**2 - 22 + 125*r**2 + 12 - 255*r**2 + 10.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.9 + -6.1. Let h = -26 - q. Suppose -4*f = -10*f. What is the closest to h in f, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 90*x**2 - 103*x + 153. List the prime factors of z(-89).\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150*j + 24336 = 125*j + 772*j - 526*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.12 (b) 128 (c) -1.206 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5035 - 2423 + p**2 - 1629*p**4 - p - 1483*p**4 - 2126 + 2*p**3 wrt p?\nAnswer: -37344*p**2 + 12*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 m when three letters picked without replacement from {m: 6, c: 1, u: 1, y: 3, p: 4}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.4 + 15.4. Let o = 52 + -55. Which is the nearest to o? (a) v (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15969 divided by 3856?\nAnswer: -15969\/3856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.06264kg in grams?\nAnswer: 44062.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -38. Suppose 6*m + 20 = m. What is the closest to q in 0.4, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47584111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2137376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/12)\/(-2 + 257\/129). Let o = c + 39. Sort 0, 5, o, -0.4.\nAnswer: o, -0.4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.8313 - 0.4413. Let i = m - 0.39. Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243132 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*q - 25, 3*q = -0*q - 9. Suppose d - 5 = p*d, -22 = -3*z + 2*d. Factor -v**2 - v**2 + v**z + v**2.\nAnswer: v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/9 - (-1)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + -22 + 1)*60\/(-234)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122122984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122.2 and 0.03.\nAnswer: -3.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2564.7359 + -13580.2371. Let g = -16187 - n. Let k = -42 - g. Round k to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*h**3 - 40*h**3 + 24*h**2 - 12 - 26*h**2 in the form w*h**2 + z*h**3 + r + q*h and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32553074 or 32553075?\nAnswer: 32553075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335248088 to the nearest integer?\nAnswer: 18310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 10. Let c(g) = -2*g - 31. Let v(t) = 2*c(t) - 7*k(t). Let z(f) = 2*f + 4. Let a be 5 + (24\/120 - 11\/5). Give a*v(i) - 5*z(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z + 45*z = 1834. Let r = 260 + z. Which is the closest to 1? (a) 0.5 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**2 + 13*r - 13*r)*(-6 + 6 - 5*r**2) - r**4 + 2*r**4 - 2*r**4 + (3*r**3 - 2*r**3 + 0*r**3)*(-5 + 5 - 3*r) - 2*r**3 + r**3 + r**4 + r**4.\nAnswer: -47*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3 + 0*g + 0*g**2 - 5\/3*g**3 + 0*g**5 + 1\/6*g**6 + 0*g**4. Find the third derivative of o(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 211*k - 3. Suppose 3*z + 5*f = 1, z + 2*z + 2*f - 4 = 0. Is o(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/6*(-6)\/(1 - 2). Which is the nearest to 0? (a) 3\/4 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/13 (b) -3 (c) 45 (d) -0.1 (e) -1\/133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 + l**3 - 4*l**3)*(-6*l - l - l + (-2 - 1 + 1)*(l - l + 2*l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 23. Suppose -z*i = 2*h - 11, 0*h = 4*h - 2*i - 10. Suppose 5*t + 4*c = 283 + 583, h*c = -4*t + 692. List the prime factors of t.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 3 + 16)*(0 + j**2 + 0).\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107661077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**5\/60 - 2*u**4\/3 - 11*u**3\/2 - 20*u**2. Let i be o(18). Solve 0 = t + 4*k - i, -25 = 3*t + k - 6*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7034\/83 less than or equal to 7.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2491 - 7*d**2 + 5*d**2 + d**4 - 2*d - 2487 - 111*d**3 to v*d**2 + j*d**4 + w*d**3 + g + h*d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*d - 13, 0 = d - 0*d + c - 7. Suppose -u - 3*f + 5 = -17, 44 = d*u - 5*f. Suppose -z + 5 = -11. Calculate the lowest common multiple of u and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74, -273, -470, -665, -858?\n\"Answer: k**2 - 202*k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 + 1 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 13*x**2 + 41*x + 12. Let b be f(-8). Suppose y - 90 - 11 = -2*l, -3*y = b*l - 207. Let k = -43 + l. Solve -4 = 3*z + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 10*m**2 - 2. Let l be g(-8). What is the greatest common divisor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206*r**4 + r**2 - 404*r?\nAnswer: -2472*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36420 (base 10) to base 11.\nAnswer: 253aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 32.89\nAnswer: 3.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/((-800)\/(-3)))\/((-5)\/(75\/6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.31 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s, 3*m - 5*s - 489 = 0. List the prime factors of 4\/22 + m\/11.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w**4 - 50*w**3 - 22*w**2 + 2*w = 0. What is w?\nAnswer: -1, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 = 8. Sort 5, 1, s.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:43 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/192 and 33\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, p: 2, j: 1, q: 1}. Give prob of sequence eqej.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**2 - 1886973*c - 1257978.\nAnswer: -3*(c + 209663)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207490*n*t**2 - 14473*n*t - 3*n + 2*t - 1 wrt t.\nAnswer: 414980*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**4 - 8 + 8 - 2*l**4 + 0 + 0 + (0*l**2 - 2*l**3 + 0*l**2)*(2 - 2 - l) + 6*l**4 + 2*l**4 + 6*l**4 + 4*l + l**4 - 4*l.\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -542 (base 8) to base 12\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -6295 + 1615. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30682, -52166, -73650, -95134?\n\"Answer: -21484*t - 9198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21.496?\nAnswer: 21.496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2699, -2674, -2649, -2636, -2647, -2694, -2789?\n\"Answer: -2*m**3 + 12*m**2 + 3*m - 2712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 770312 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0388206231 to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/7 - 1712*t**4\/7 + 4572*t**3 - 165888*t**2\/7 + 135594*t\/7 = 0.\nAnswer: 0, 1, 9, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 9*l**2 + 13*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 143128 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 53. Let b = y - -54. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 - 11*p**2\/2 - 9*p + 6. What is the units digit of v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/420 - 2*l**5\/105 + l**4\/28 + 3*l**2. Solve o(m) = 0 for m.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16389 - 56541 = -4124*p + 128932 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300b050 (base 13) to base 4.\nAnswer: -313111023103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66928 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.2 (b) -1484 (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276.15 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.51*17.\nAnswer: 76.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -213, -212, -211, -210?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12722762 divided by 978674\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.067? (a) 2045 (b) 4\/15 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*o = 25, -5*i - 1 = -2*o - 2*o. Calculate the remainder when 6 is divided by ((-2)\/i)\/((-2)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13637597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/(-18) - 2)*54\/(-6). Which is bigger: -2\/805 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.408101 + -3.58810117. Let t = 0.18 + a. What is t rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = -l, 3*j + 2*j + 10 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5)*-2 + 2. Let j be -3 - 8\/((-40)\/15). Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75, -198, -321, -444?\n\"Answer: -123*g + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 24*c**2 - 16*c - 96.\nAnswer: 4*(c - 2)*(c + 2)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101100 - 1?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.034, -6\/11, -5, 1, 11 in decreasing order.\nAnswer: 11, 1, 0.034, -6\/11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34832179348.00000391 + 34832178539. Let p = g + 809. What is p rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-5)\/4 + 1). Let t(z) = -z**3. Determine t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.01 - -16. Let r = -0.05 - o. Round r to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 152. Suppose 2*j + n = 3*j. Calculate the remainder when j is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t = -42*t - 128. Differentiate -209 - 4*o**4 - t*o**2 + 328 + 2*o**4 wrt o.\nAnswer: -8*o**3 - 64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 68471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*g + 6 + 4 = 0, 2*l = 4*g - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(-3 + 4 + sqrt(162) + 5 + sqrt(162)*3 + -1))**2.\nAnswer: 51840*sqrt(2) + 376848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138661.7 rounded to the nearest one thousand?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428*n - 1436*n - 1350*n - 1433*n - 1427*n + 8498*n - 1428*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*r**4 + 62558*r**2 - 7*r - 35220 wrt r.\nAnswer: 276*r**2 + 125116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 1280, 3139, 5740, 9083, 13168?\nAnswer: 17995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 228425300 to the nearest 1000000.\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2772 and 6930.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14*n - 1224 = -6*n. Solve -65*l + 22 = -n*l - 2*d, 17 = -3*l - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1023124 and 0.2?\nAnswer: 204624.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9681042.3 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 510*y**3 - 6025*y**2 - 21540*y - 16020.\nAnswer: -5*(y + 1)*(y + 6)**2*(y + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (-2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8315940 rounded to the nearest 10000?\nAnswer: -8320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24096\/2159 + -190\/17. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.057 and 0.02.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5799, 7, -4, 1 in decreasing order.\nAnswer: 7, 1, -3, -4, -5799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/241584 and -62\/3595.\nAnswer: 1207920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20939*l**2*o + 6*l*o - l - 60*o wrt l.\nAnswer: 41878*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83376032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*q = 0, 2*s = 2*q - 6*q - 8. Let j be (-295)\/236 + 7\/s. Solve -j*u**4 + 0 + 2*u**2 - u**3 + 4*u = 0 for u.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17136, 4, -3.\nAnswer: -17136, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 3095?\nAnswer: 3095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-32))\/(23\/(-69))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.1 - -18.6. Sort 2\/75, b, -3, -7 in increasing order.\nAnswer: -7, -3, 2\/75, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112689223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -76814a (base 12) to base 6\nAnswer: -104144534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3972555.\nAnswer: 3, 5, 43, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60652.18l to millilitres.\nAnswer: 60652180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) 4\/7 (c) -6\/13 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -860, -1743, -2626, -3509?\nAnswer: -4392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 19 + 24 + (-4 + 2 + 1)*(-1 + 0 - 1))*(-2*b**3 - 5*b**3 + 5*b**3).\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-21)*168\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 - 6*w + 140 - 3*w**2 + 2*w**2 in the form q*w**2 + n + p*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 >= 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 10*p + 3. Let d be h(0). Let l be (1815\/(-22))\/(d\/4). Which is greater: l or -111?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1261.243t to micrograms.\nAnswer: 1261243000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b**30\/b*b*b*b**(-2\/29)*b**(5\/2))**26 assuming b is positive.\nAnswer: b**(44811\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 43*l - 10. What is the hundreds digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 651 + -645. Let r(z) = z + 2. Let j be r(-1). List the prime factors of (j - g*-2) + -3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4894292 by 2447146.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 21 - 13*t + 12.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 156*z**2 - z + 4. List the prime factors of f(2).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -311?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(6 + 0 - 9)*(-p + 0*p + 2*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 382693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -51*r**2 + 5*r + 30. Let x(p) = -52*p**2 + 4*p + 31. Let z(o) = 5*x(o) - 4*y(o). Differentiate z(b) wrt b.\nAnswer: -112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -36.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(18) - ((sqrt(72)\/sqrt(4) - sqrt(18)) + sqrt(18))*2)\/(sqrt(54)*-3) + -4).\nAnswer: -48 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-45)*-5)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -6*y. Let n be (-23)\/(-5) - 32\/(-80). Solve y*v + 16 = -n*w, -4*w + 2*v = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-5)*(2 - 1). Let q be 5\/20 - 30\/(-8). Suppose 0 = 4*v + 3*z + 25, 1 = -q*v + 4*z - 3. What is the second smallest value in v, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39\/4? (a) 4 (b) 1 (c) 0 (d) 5 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 16) in base 2?\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -339.11336 to zero dps.\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349487467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/6 (c) 0 (d) 1\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1995?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.4 or 37270?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + ((14 - 3) + -2 - 0) - 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26421 take away -0.210380253?\nAnswer: 0.474590253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5482445745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608.6ng in micrograms?\nAnswer: 3.6086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 199?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v + 1. Let p be r(1). Let g be (-1)\/((-14)\/p + -3). What is the units digit of (4 - (1 - -11))*g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 8*u + 7*u. Let h(x) = -3*x + 4*x + 4*x - 4*x. Calculate h(z(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.79 + -1.89. What is the third biggest value in k, 0.3, -5, -0.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s**3\/3 - 8*s**2 - 12*s + 27. Does 12 divide z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 378, 0.03, 2, 2\/3, 0.4.\nAnswer: 0.03, 0.4, 2\/3, 2, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -15)*3\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 5. Let y be l(-20). Suppose 5 = 10*q + y. Sort -6, q, -3, 1 in descending order.\nAnswer: 1, q, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211589383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308346*4.\nAnswer: -1233384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 826, 1654, 2482, 3310, 4138, 4966?\nAnswer: 5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 222301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*51\/(-25092)*-41.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/108*4*3. Let a = 27.9 - 27. Let o = a + -0.8. Is o greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - s = -82 + 33, -4*o + 34 = -2*s. Differentiate -o*m**3 + 2*m**4 + 11*m**3 - 1 with respect to m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1201, 5457, 12501, 22327, 34929, 50301, 68437, 89331?\n\"Answer: -n**3 + 1400*n**2 + 63*n - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -6?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 20 - 2*y**3 + 17 + 22.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + g = -0*o - 405, 5*o - 5*g = 495. Let a be (o\/9)\/((-6)\/(-9)). Solve -3*f = 9, 3*y + f = 7*y + a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/106)\/(-1 - (-45)\/48) + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-8 + 4 - (-4 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6782935 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:33 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 - h**2 + h - 1. Let p be b(1). Suppose -3*q + s = 2, 6*s - 11*s - 10 = -5*q. Let f be ((81\/q)\/9)\/((-9)\/(-12)). Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:04 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - 15) + (2 - 10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257134347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - 0.28. Let r = i - -0.09082. What is r rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185908, -185888, -185872, -185860, -185852?\nAnswer: -185848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 8484, 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 6\/9 + 10\/3. Suppose 0 = -o*d - i + 54, 2*i - 29 = -3*d + 7*i. Is d - 12*(2 - 28\/16) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 229397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:27 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-292)\/28 + 45110\/31577?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22649 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4996, 4997, 4998, 4999, 5000?\n\"Answer: v + 4995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(168\/(-848)))\/((19\/(456\/(-16)))\/(-1))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-24)*f*f*f**23)**4)**36 assuming f is positive.\nAnswer: f**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbpp. Give prob of sequence bb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 25.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 13.83?\nAnswer: 13.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 228126.3 millilitres?\nAnswer: 228.1263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 + 3*s**2 + s**2)*(-3 + 5 + 2) + 17*s - 17*s + 10*s**2 + 2*s**2 + s**2 + 0*s**2.\nAnswer: 61*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -1 + -1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*4\/(-8)*3\/(-16). What is the smallest value in -20, -0.2, 0, q?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 12:45 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 21 = -3*i, 4*i = i - 12. Let u(j) = -j**3 + 5*j**2 + 9*j - 21. Let t be u(6). Is -2 - t\/z - -712 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -926, -597, -50, 715, 1698?\n\"Answer: 109*r**2 + 2*r - 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*f - 3, 0*z + 4*f = -4*z - 4. Which is the second smallest value? (a) z (b) 4 (c) -0.07 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*3*(-2)\/(-6). Let g be (-5 - -2) + p + 293. Suppose -b = 5*w + 2*b - 474, 3*w - g = -2*b. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 10, 11 = -2*x + 4*h + 1. Solve 2*c + x*f + 19 = 4*c, 0 = -4*c - 5*f - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(3\/18). Suppose w*r - 5*a = 888 + 2184, 1022 = r - a. Suppose -o + m + 248 = 0, -4*o + 0*o + r = 5*m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 9988*r**2 + 149458*r - 438152 = 0. What is r?\nAnswer: 4, 11, 4979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -77819 + 77796.9939. Let b = m + 22. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8575887 to the nearest integer?\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 3*o**2 + o - 1. Suppose 10 = -q - q. Let b(v) = -24*v**2 + 29*v**2 + 4 + v**3 - 3 - 3*v. What is q*n(l) - 3*b(l)?\nAnswer: 2*l**3 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3038 (base 13) in base 10?\nAnswer: -6638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120606788 to the power of 1\/2, to the nearest integer?\nAnswer: 10982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 + 13 = 0. Let j(a) = -33*a**3 - a - 1. Let d be j(z). Suppose -3 = -4*h + d. What is the remainder when 34 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1, -5, 239, 0.1, -0.07.\nAnswer: -5, -1, -0.07, 0.1, 1\/3, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = -3 + 37. Suppose -10 = -5*d + 55. Suppose d = -4*i - 7. Sort i, l, -3 in decreasing order.\nAnswer: l, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -750, 1, 2, -18, -3 in decreasing order.\nAnswer: 31, 2, 1, -3, -18, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(((-9)\/(-14))\/3). What is the hundreds digit of (-12)\/28 + 0 - 1616\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g - 182. What is s(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 38*l - 50*l - 140 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 4*d - 0*d - 72, -2*d - 1513 = -1521 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 17\/2, -1.\nAnswer: -1, 17\/2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10. Suppose -3*o = -9, -z*n - o = 3*n - 318. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 3.51443631\nAnswer: 1.405774524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 3*l - 18, 0 = -3*j + 4*l + 4 + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 i = 253 + -257. Let k = 6 + i. What is the nearest to -1 in k, -1\/34, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(1\/(-8)). What is the third derivative of -t**2 + t**2 + r*t**2 - t**4 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1850 - 1840. Sort f, -2, 0.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21659? (a) -0.2 (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/36146633 and 12\/10351.\nAnswer: 397612963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29719.\nAnswer: 113, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(1 + (-26)\/20). Suppose u - 25 = -5*d, -3*u + n = -u - 5*d. Suppose 5*l + u = 0, -2*l - l - 1 = -4*o. Let f(s) = -s - 2. Determine f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2260.\nAnswer: -1\/1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 6. Let r be k(4). Let t = 2 + r. Suppose 0 = 36*w - 37*w. Sort -2, t, w in descending order.\nAnswer: t, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:48 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 30*r**2 - 7*r + 219. Let j be l(30). Solve 0 = -14*g - j*g - 161 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/4 - 5*y**3\/3 - 2*y**2 + 7*y. Let d be m(-4). Let w = d + 14. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15222 is divided by 2 + (-84 - -83)\/((-2)\/(-22)) - -55.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 8) to base 14.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -16391740.\nAnswer: 819587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n + 13*n - 142*n + 27*n - 26*n.\nAnswer: -188*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3306, 6654, 10004, 13356, 16710, 20066, 23424?\nAnswer: 26784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(396) + 4)**2 + 6*(0 + (sqrt(275) - sqrt(275)*1)).\nAnswer: 36*sqrt(11) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -677\/6 + 113. Let a be ((-3)\/(-2))\/((-42)\/8). Let k = 89.4 - 85.4. Put u, k, a in decreasing order.\nAnswer: k, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 352609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -332 + 978. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/551 in 3, 31, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - 109 = -178. Let r(p) = p**2 - 7*p + 6. Let b be r(6). Suppose 0 = -b*j - 2*j + 3*w + 22, 0 = -l*j - 5*w - 5. Solve -j*m + 0 - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*m + 69*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -0*p - 2*p. Let a = p + -11. Suppose -7*j = -5*x - 11*j + 20, -x = -2*j - 18. Calculate the remainder when a is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 2*f + 16. Let d = -2 + 9. Suppose -d*b - 10 = -9*b. Solve f*m - 1 = -b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12\/34825559?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21247\/43 - 494. Let o = -313\/473 + m. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-3\/8)\/y)\/y**7)\/(y\/(y*y*y**1)*y)**(-47))**(-9\/2))**(1\/27) assuming y is positive.\nAnswer: y**(145\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1023, -1, 0.3 in decreasing order.\nAnswer: 3, 0.3, -1, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**3 + g - 1. Let h be s(1). Suppose 3*z = 5*z - h. Find the common denominator of 21\/10 and -3*z\/(-16)*-4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 take away -0.224358277676?\nAnswer: 0.074358277676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1434323 + -142?\nAnswer: 1434151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 22\/18 + -3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2) + (9 - 7). Put 2, q, -3, -1 in decreasing order.\nAnswer: q, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 6. Let x be k(-9). Suppose 5 = p, 2*f - x*p = 3*f - 45. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose -1020 = -r - 2*x - 848, x = 2*r - 354. Calculate the smallest common multiple of 24 and r.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(11)*-3 + -5)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**6 - 1327428*p**5 - 49458493*p**2 wrt p.\nAnswer: -120*p**3 - 79645680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4 - 27*k**3\/2 - 21*k**2\/2 - 33*k. Factor t(a).\nAnswer: 3*(a - 7)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3159473 and 20374.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n + 40. Let v be o(-7). Let f(p) = -p**2 + 2*p - 6. Calculate f(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15616, -23, 194 in ascending order.\nAnswer: -23, 194, 15616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62089\/933156 - -1\/4761. What is the common denominator of -33\/28 and q?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*i**2 + 12*i**3 - 3*i + 4*i**2 - 14*i**3 + i**4 to the form t*i**3 + p + u*i**2 + f*i**4 + w*i and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-115)\/(-15) - 1\/(-3). Let y be ((-3)\/9)\/(3\/(-9)). Let q be 102\/15 + y\/5. Is q equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from vvgyggggvvgygv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4738\/276 + -1 + -15. Suppose 4 + 1 = -2*r + 5*z, z - 1 = -2*r. Let q be (r + 2)\/(1\/1). Is l != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 21*b + 4. List the prime factors of n(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 + y**4\/12 + y**3\/6 - 6*y**2. Let r be t(-5). What is the highest common factor of 40 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(8\/3)*m)\/(m*m\/(m\/(m**(-13)*m))*m))\/(m**(1\/4)*m*m*m**(-12)) assuming m is positive.\nAnswer: m**(281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-24)\/c)**(-28)\/(c**(-1\/39)\/c*c)**(-7\/2) assuming c is positive.\nAnswer: c**(52409\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 10 = -2*k, -k - 3*u = 3. Suppose -g = -33 - 0. Suppose g = 2*x + 2*f + f, -42 = -3*x - k*f. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2387*h. Let g(y) = 31*y. Determine 155*g(x) - 2*u(x).\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.871 + -0.129. Let g = 4.666 - -0.334. Which is the biggest value? (a) d (b) g (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -258*k**7\/7 - k**5\/5 - 1670*k**3\/3 - 1678. What is the third derivative of l(j) wrt j?\nAnswer: -30960*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-15) + (3 - 14) + (-6 - -33).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-36)\/63)\/(28\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lnllxnllnlxn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/20 - 31*u**4\/4 + 64*u**3 - 2*u**2 - 115*u. Factor x(l).\nAnswer: -3*(l - 2)*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 10*a - 10. Determine v(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0 + 1\/12*v**4 + 9*v + 3*v**2 + 3\/2*v**3. Suppose l + 34 = -4*l - 2*d, 4*l + 2*d = -28. Determine x(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let q = p + 2. Let h = -0.5 - q. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Suppose 0 = 4*g + 14 - 26. Suppose -10 = -5*z + 4*r + g, -3*z + r = -12. Solve -y*k = -3*v + k, -2*k = -z*v - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/6 + 1952*c**3\/3 - 952576*c**2 + 5557*c. Factor q(w).\nAnswer: -2*(w - 976)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/2)\/((-1)\/10). Let w = -211\/6 + n. Let t be 38\/60 - (10 - 6)\/8. Sort w, -2, t in ascending order.\nAnswer: -2, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 1. Let m(k) = -10*k**2 + 0*k - 6 + 14*k**2 - 11*k**3 + k. Let s(d) = 4*h(d) - m(d). Is 13 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l + 11. Suppose 5*a + 3*u = 4, 2 = 3*a + 2*a + 4*u. Let y(k) = -10*k + a*k + 19 - 25. Let f(d) = 6*j(d) + 11*y(d). Let v(h) = 2*h. Give v(f(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75538 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: Solve 0 = 3*x - 3*z + 12, -51*x + 3*z - 12 = -50*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -6, 1, 2, -9, -38, -91, -174?\n\"Answer: -y**3 + 6*y**2 - 4*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*f + 24, 0 = 5*c - 161*f + 159*f - 26. Solve 5*d - 21 = -c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658*z = -646*z - 432. Calculate the remainder when 209 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288)*-1)*1*4.\nAnswer: -48*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - 0.4. Let u = p + -6. Which is the third biggest value? (a) -5 (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2602158553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -63. Let w = 29 + n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 182 = x - 2*w, -48 = -x + 3*w. Suppose -2*v = -v + 4*o - 27, -5*o = 2*v - x. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 211\/6. Let w = 0.19 - -0.91. Let v = -0.8 + w. Which is the second smallest value? (a) 3\/2 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1190 - 1187. Solve -14 = 4*a - 2*i, 1 = -d*i - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2020 and 140780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20811443 and 971.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/20 + k**2\/2 + 4*k. Let r be o(0). Calculate the remainder when (0 - (r + -4)) + 11 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 - m**2 - 4*m + 3. Let b be u(-3). Calculate the highest common divisor of b and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-2)\/(-6) - ((-2811690)\/1080 + 1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 343240 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, 565, 0 in descending order.\nAnswer: 565, 0, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*a - 1792 = -32*a - 9*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -4, -23\/2, -1\/4, 0.2, -3 in descending order.\nAnswer: 0.2, -1\/4, -4\/5, -3, -4, -23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, -5, -23, -0.2, -4.\nAnswer: -220, -23, -5, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 + (19 - 50)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/154572 and -53\/12.\nAnswer: 154572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 - 145*f**2 + 2*f + 6. Let h(n) = 7*n**3 - 291*n**2 + 3*n + 10. Give -5*g(z) + 3*h(z).\nAnswer: z**3 - 148*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqczc. Give prob of sequence zc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*s + 404 = 14 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t. Let s(a) = 400*a - 2. Give u(s(k)).\nAnswer: -2000*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 9*t**2 - t. Let d be o(9). Let k = d + 56. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = -5*k + 16*j + 63709, -k - j = -12743. What are the prime factors of k?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 + 0 - 57\/133)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8834 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214 + -4?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*c + 14, -2*t + 1 - 24 = -3*c. Solve 0 = -c*m + 17 + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 2005*t**4 - 10185*t**3 - 14185*t**2 + 10180*t + 12180 = 0 for t.\nAnswer: -406, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllilmlppmllmmlllp. Give prob of picking 3 p.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -10.95. Let d = i - -13. Which is the second smallest value? (a) -1\/2 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 69*r + 807. Let x be m(11). Calculate the greatest common factor of x and 9715.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2 + 1*sqrt(112))*1 + (1 + sqrt(112) - sqrt(112)) + -5 + -4)**2.\nAnswer: -48*sqrt(7) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 40281654.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*h + 9, 4*h - 3*h = 3*i - 6. Let j(o) = -4*o**2 - 34*o + 9. Let z be j(-5). Suppose 0 = -15*k - 4 + z. Put i, k, 4, 3 in decreasing order.\nAnswer: k, 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - g - 2)*(3 - 1 - 1) + (g - 2*g + 2*g - 12)*(-2 - 4 + 5) in the form q + w*g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 equal to 958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by -2 + -4 + (-9)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/24)\/((f*f**35\/f)\/f)*(f*f*f**(-14\/11))\/(f*f**(-1\/37)) assuming f is positive.\nAnswer: f**(-334105\/9768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200)*2 + (-1*sqrt(550))\/sqrt(11))\/(-2*sqrt(810)*-2 + sqrt(810) - -4*sqrt(810)*1).\nAnswer: 23*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7\/113, 0.3.\nAnswer: -7\/113, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let g(q) = -11 - q + 6 + 15 + 4*q. Determine l(g(h)).\nAnswer: -9*h**2 - 60*h - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 10:33 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 0*o**2 + 3075*o**3.\nAnswer: 3075*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven halves of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8 and -101\/696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 5:06 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 7035904?\nAnswer: 35179520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:34 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439153.9 nanometers to millimeters.\nAnswer: 0.4391539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-727.\nAnswer: -218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/20 - f**4\/8 - 25*f**3\/6 - 3*f - 1. Let k(c) be the second derivative of p(c). What is k(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 8 = 12*d + 3*q, -3*q = -3*d + 3. Let i(n) = 2*n**2 + 78*n + 1. Let a be i(-39). Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -187*q - 2. Let f be j(-1). Suppose 4*s + s - f = 0. Let p = -12 + s. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b = -3*b. Put -1, -5, b in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-767)\/51 - (40\/(-1020))\/1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3 + (-2)\/(-2). Suppose -u = -2*s + 17. Calculate the highest common divisor of s and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70606542.9 to the nearest ten thousand.\nAnswer: -70610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 11*h**2 - 9*h + 9. Let d be r(-10). Is (d - 2)*1 + 13 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -186.\nAnswer: -29\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 41*m**2 + 17*m - 45. Let v be z(-20). Solve a = -4*a - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25612551, 51225100, 76837649, 102450198, 128062747, 153675296?\nAnswer: 179287845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 73, -11, 0.03?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 40. Let r be (-2)\/j + (-4011)\/(-28). Let a = r + -81. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 21*d + 54. Let z be u(-6). Let l = z + 134. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 81*f + 134. Let c be n(-39). Solve c*l + 74 - 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 338 and 22?\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*o + 10, 2*u - 2*o + o + 25 = 0. Let l(y) = y + 12. Let x be l(u). Find the third derivative of -13*s**2 + 2*s**4 + 12*s**4 + s**x wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1*(-1 + sqrt(108)) + sqrt(108) - sqrt(108)) + sqrt(108) - (sqrt(108) + sqrt(108)*1 + 5 + sqrt(108) + sqrt(108) + sqrt(108))))**2.\nAnswer: 3456*sqrt(3) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-24))\/((-2)\/(-24)) + -2. Suppose 5*t - 189 = -n*t. Suppose -h + 79 = p, -p = -5*h + 2*p + 395. Calculate the remainder when h is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(81)\/sqrt(3) + sqrt(27))*5.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110? (a) 3 (b) -3 (c) 0.1 (d) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*p + 16, -j = -14*p + 13*p + 3. Suppose 4*c - 3*d - 150499 = 0, c - p*c + 5*d + 150493 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(72\/(-20) - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10398958 rounded to the nearest ten thousand?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1324? (a) -7 (b) 3 (c) -37 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1063 + -0.37.\nAnswer: 1062.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*i = 279*i - 584 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010001001100 (base 2) in base 3?\nAnswer: -110202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, z: 4, h: 1}. What is prob of sequence ih?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59\/31 in 1, 3, 107\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 33. Let v be i(28). Solve v*h + 5*a = 35, 0*a - 2*a + 2 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -124. Let c(h) = 2694 - 2697 + 3*h**2 - 6*h**2 - h**t - 4*h. What is c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 16*c + 2392 = 0. Which is smaller: 102 or c?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m + 28*m + 29*m)*(-4 + 1 + 0)*(51 - 14 + 103 - 32).\nAnswer: -5184*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3033 + 24785 = 8*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/10)\/10 + (-15)\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 12844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Suppose -3*u - 2*m + 2 = 2*u, 4*m + 26 = g*u. Solve 5*x = y + y - 12, 2*y = u*x + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u**3 - 92*u**3 + 365*u**3 - 29*u**2 - 94*u**3 + 29*u**2 - 83*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3752 divided by 536.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j - 6. What are the prime factors of q(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (10 - 2)) + 0 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 divided by 1.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 1:53 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 + -213. Let p = 10 + -7. Suppose 4*a + 5 = -p. Sort 1, a, y in increasing order.\nAnswer: a, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731511521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2)*(19 + -18). Suppose -4*s + 53 - 41 = z. Solve 5*t + 0*t + 9 = 4*c, -c + s*t = -11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -753388 * 4.\nAnswer: -3013552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t + 7*t**3 - 4*t**3 + (t**2 - 3*t**2 + 3*t**2)*(3*t + 2*t - 4*t) + 0*t**3 + 3*t**3 - t**3 - 8*t**2 + 13*t**2 + 6*t**3 - t**2.\nAnswer: 12*t**3 + 4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/3 + 8*d**4\/3 - 10*d**3\/3 + 4*d**2\/3.\nAnswer: -2*d**2*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(468))*4 + (-4 + sqrt(78)\/sqrt(6) - (sqrt(13) + -4*sqrt(13) + -2)))**2.\nAnswer: 6992*sqrt(13) + 77204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 6, l: 8, o: 1}. What is prob of picking 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22880 and 16640.\nAnswer: 183040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15\/8, -3\/7, 3, 0.4, 0.1, -2\/115?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 + 87. Let x = 46 + b. Solve x = -5*m + 2*z, 2*m - 5 = 5*m + z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - f - 3*z - 9 = 0, -4*f + z + 236 - 251 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 0)**2 + 1)*-5.\nAnswer: -6085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139368791 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.69733 millilitres?\nAnswer: 0.00869733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -34. Let n be v\/(1 + 2)*(-3 - -3). Suppose 5*w + 212 = 2*t, n*w = -2*t + 2*w + 206. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/2 + w**3\/3 + w**2\/2 + 3*w + 2. Let o be s(-3). What is the highest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o + 47. What are the prime factors of j(25)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -1 - 5\/2*h**3 + 6*h**2 + 49*h + 1\/8*h**4 + 3\/40*h**5. Factor q(d).\nAnswer: 3*(d - 2)*(d - 1)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35753 - 4716. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1614 (base 8) to base 5\nAnswer: 12113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525089?\nAnswer: 73, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14437*-15.6\nAnswer: -225217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 113, 260, 465?\n\"Answer: 29*n**2 + 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1200245 - -1200229.000056. Let c = -16 - w. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**4 + 4*w**3 + 7*w**4 - 72000*w - 285*w**2 + 71998*w to the form r*w + j*w**3 + k + l*w**2 + u*w**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 11) to base 12\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94142.57 kilometers to nanometers.\nAnswer: 94142570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100301444 (base 6) in base 15?\nAnswer: -107aa1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3 - 3934*c**2 + 7872*c = 0.\nAnswer: -3936, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 5816288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 27*n**2 - 30*n + 12. Let l(c) = -11*c**2 + 12*c - 5. Let i(j) = -12*l(j) - 5*v(j). Factor i(h).\nAnswer: -3*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 152737*x**2 + 2*x - 152734*x**2 - 1 + 1.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000403171721 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 401 and 455937?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 11*u**2 + 7*u - 11. What is r(10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**5\/9 + 14156*r**4\/9 - 381924*r**3 + 207805412*r**2\/9 + 1112415320*r\/9 + 300386144\/3 = 0.\nAnswer: -4, -1, 131, 3282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = i - 5*i - 36, 38*i = 41*i + 6 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*b = 5*a + 9, -3*b = -a - 10. Does 8 divide ((-3)\/(3\/8))\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10*w + 93. Let f be z(9). Put 1, f, -8 in increasing order.\nAnswer: -8, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from ccf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2 (b) -4 (c) 7.3 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (4 + -10) - 1. Suppose -3*q + 6 = -q + 4*s, -m*s - 22 = -4*q. What is the remainder when 17 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:38 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**3 - 3*p**2 - 118*p + 6. Let w(r) = -17*r**3 - 7*r**2 - 265*r + 13. Let l(c) = -9*a(c) + 4*w(c). Let o(b) = -b + 1. Determine -l(h) - 2*o(h).\nAnswer: -4*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 25880175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 1. Suppose 7*y = 4*s + 3*y - 16, 3*y = -9. Let k be j(s). Suppose -1852*g + 1904*g - 208 = 0. Solve a = m - k*m, 0 = -g*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778609787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 266*z - 1415. What is q(83)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, 0 in decreasing order.\nAnswer: 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 12*k - 15*k. Suppose 9*n - 10 = k*n. Solve -n = 4*v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/223?\nAnswer: -13\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -8702.6859?\nAnswer: -8702.6859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.48 - -1.08. Let i = b + 15.4. Sort -0.07, i, -1, -2 in descending order.\nAnswer: i, -0.07, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (0 - -2))\/(-2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -285, -506, -743?\n\"Answer: -8*a**2 - 181*a + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(sqrt(78) + 2*sqrt(78)))\/sqrt(3))\/((sqrt(6)*1 + sqrt(6))\/sqrt(3) + (sqrt(54)\/sqrt(3))\/sqrt(9))*2.\nAnswer: 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/16 (b) -2 (c) 0.5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*r - 26*r + l + 4, -1 = -r + 2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**2*w**2 - r**2 + 532*r*w - 16*w**2 - 2*w + 38 wrt r.\nAnswer: 8*r*w**2 - 2*r + 532*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.1. Let o(d) = 4*d**2 + 58*d - 671. Let i be o(-22). Which is the nearest to g? (a) 2 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 351.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vyvqfjvvryvryvq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -15, 9, 35, 63, 93, 125?\n\"Answer: d**2 + 19*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 22088?\nAnswer: 110440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 6)*22\/6?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlllwzwlzllllllwwlll. What is prob of sequence lw?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 k when three letters picked without replacement from zzzzkiikzziiz?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2893057*q**3 + 2477794*q**3 - 4164689*q**3.\nAnswer: -4579952*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*r**3 - 12*r**3 - 54 - 7*r - 18*r**3 wrt r.\nAnswer: 3*r**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7062*b**2 + 6299 wrt b.\nAnswer: -14124*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + 39. Let v(f) = -f**3 - 4*f**2 + 10*f + 8. What is the remainder when d is divided by v(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2\/4 - 39*r\/4 - 11 = 0.\nAnswer: -1, 44\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3494*2*16\/64. Suppose 5*p + v - z = 0, -5*p + 1209 = 2*v - 540. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -7*q**5 - q**4 + 71*q**3\/3 + 148. What is the third derivative of m(s) wrt s?\nAnswer: -840*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:23 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/24 + v**3\/6 + v**2. Let n(z) = -2*z + 2 - z**2 + z - 2*z. Let t be n(-3). Give s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 377?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 345979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.13 - -100.\nAnswer: 107.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 336*t. Let z(l) = -l**2. Determine z(o(r)).\nAnswer: -112896*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394771 + 404825.46. Let m = -10131.4461 + v. Let n = -77 - m. What is n rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.07 and -3094.549.\nAnswer: -6405.71643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2781784395657 + 0.2\nAnswer: -2781784395656.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(968)*-2)\/(sqrt(4) + sqrt(36) + (-2*sqrt(36) - sqrt(36) - sqrt(36)))*4.\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8064 and 16?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-33)*(-10)\/(6320\/(-44)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 5*x - 1. Let j be u(4). Suppose j*a = -9 + 3. Is -1\/2 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)\/n**(-12))\/(n**18*n*n*n**(1\/2)*n*n) assuming n is positive.\nAnswer: n**(-311\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -0.4, -20.29961, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 111.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Suppose 0 = 2*i + 2*j - 12, -4*i - 3*j = -26 + 3. Let z = d - i. Which is smaller: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 10. Let w be h(0). Let y(i) = 2*i**3 - 9*i**2 + 6*i - 9. Is y(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.490967l to millilitres.\nAnswer: 5490.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 840 + 5168\/5*t**2 - 1636*t + 136\/5*t**4 - 4\/5*t**5 - 264*t**3 = 0?\nAnswer: 1, 2, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 483 and 21?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6619910 to the nearest integer?\nAnswer: 2573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vewyvweweeii. What is prob of sequence yvv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10853?\nAnswer: 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 35*h + 48*h.\nAnswer: 83*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s - 17*s + 45 = 21*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - h**5 - h**5 + 0*h**5 + 0*h**5 + 4*h**5 - 2*h**5 - 5*h**5 + 2*h**5 + h**5 + h - 2*h**5 - h + (-6*h**3 + 5*h**3 + 2*h**3)*(4 - 4 - h**2).\nAnswer: -5*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172 - 182186?\nAnswer: -182186.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/28622125 and 4\/49.\nAnswer: 28622125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cco when three letters picked without replacement from cccocococcc?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2155 + -50535514?\nAnswer: -50533315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/301114 and 127\/246366?\nAnswer: 2710026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -127 - (-9 + (1 - (-7 + 14))).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -533 times -0.5\nAnswer: 266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(-2*v**4 - 86*v**4 - 30*v**4) + 3*v**3 - 3*v**3 - 7*v**5 + (2*v**2 - v + v)*(-5*v**3 + 4*v**3 - v**3).\nAnswer: -247*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1117 + 1051\/36861. Which is the nearest to -6? (a) -0.2 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -747 + 750. Sort y, -25, -5 in descending order.\nAnswer: y, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-294)\/28 - -10) + 33\/34. Is j at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/945*14)\/((-2)\/10).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 3*c, -3*i - 5*c = -3*c - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 13*b - 13. Let c be w(-12). What is the units digit of 3\/c*62\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101160518?\nAnswer: 2, 4363, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3, -3*s + c + 12599 = s. Suppose 3*k + 11696 - s = 0. Round k to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwtfo. What is prob of sequence to?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/10, 17, -1\/3, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-6\/7))**(2\/15) assuming x is positive.\nAnswer: x**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000407022 to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*u - 883 - 19517 = 3776*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + 3*u, -3*p - u + 5 = -6. Suppose -314 = -2*n + 2*f, -3*f + 663 = 544*n - 540*n. Sort p, 2, n in descending order.\nAnswer: n, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9132.48 millennia to months.\nAnswer: 109589760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 9) to base 2.\nAnswer: -100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153754877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/6*-3)\/(2\/10*(-65)\/26).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from tgafaagagtfa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27403889.\nAnswer: 27403889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/4))**(6\/19))**33)**(-8\/3) assuming j is positive.\nAnswer: j**(396\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 4)\/(-2) + -1. Let g be 14 + h - 3\/(-3). What is the derivative of -5*o**2 + 6 - g*o**2 + 3*o**2 wrt o?\nAnswer: -32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 39*r**3 + 193*r**2\/2 + 2*r + 84. Find the first derivative of h(g) wrt g.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1521246 + 4?\nAnswer: -1521242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 + 3*w + 2. Determine t(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 94994827 divided by -1867\nAnswer: -50881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((226\/(-5650))\/((-3)\/(-10)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46096720 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1854*y - 25 = 1849*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 34.3827 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*z + 85224 = 1723*z for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 13 - 82. Suppose -c - 2*k = -18, -1 = -c - 4*k + o. Let p be -5 - 159*3\/(-9). Calculate the highest common factor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*k + 1309 = 135*k - 22*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(90) - (sqrt(90) + -3*sqrt(90)))\/sqrt(6))\/sqrt(5).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z**(-5)*z*z)*z)*z*z**(-2)*z\/z**(-2\/5)*z**(-3)*((((z*z*z**(-3))\/z)\/z)\/z*z**4)\/(z**(-1\/9)\/z*(z\/(z\/z**(1\/7)))\/z) assuming z is positive.\nAnswer: z**(-1144\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -274, -4, 4, -3 in increasing order.\nAnswer: -274, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 7:04 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577 + (-4 - (5 + -3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*x**3 + 25187742*x**2 + 67167456*x + 44778336.\nAnswer: -3*(x - 932882)*(3*x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -44790556 and -44790554 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2031*q - 561168. What is y(-226)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 21*m + 114 = 0. Let y = 110 + -53. Calculate the highest common factor of m and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) - (sqrt(640) - 1*sqrt(640)) - sqrt(640))\/(sqrt(96)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 2*o**2 - o**2 + (4 + o - 4)*(0*o + 2*o + 0*o) + 3 - 3 - o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.934, -0.1, -5, -4\/7, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 3, 4, -25 in decreasing order.\nAnswer: 4, 3, 1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 + 0)*(-1 + 3 - 3)*(-11 + 31 + 61)*(-5*n + n + 5*n) to c + y*n and give y.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j - j)*(-11*j + 15*j - 7*j)*(2*j - 2 + 2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 12*j - 20. Let w = -4 + 18. What is the units digit of c(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1314 - -15055?\nAnswer: 13341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1518621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.05 - -4. Let q = t + 0.1. Let a be (-4)\/6*(-3 + 2). Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5271*z + 193. Determine i(0).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -21 - (4 + (4 - 9) - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*-6*(-1*sqrt(78) - sqrt(78)))\/(5*(sqrt(30) + sqrt(270) - sqrt(30))\/sqrt(5)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -681*q + 649*q. Solve 2*l = -q*k + 13*k - 21, 3*k = l - 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = 71. Let a = v + 0. Is 274\/10 - a\/(-35) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 101, 158, 217, 278?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2174.47 to the nearest 10.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/((-1239)\/63))\/((-2)\/((-76)\/(-3))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 28. What is the third derivative of -4*i**5 + d*i**2 + 22*i**5 - 4*i**2 + i**5 wrt i?\nAnswer: 1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57039722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) -834 (b) -0.5 (c) -1 (d) 3 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 24. Suppose 4*o + 4*b = 2*b + 24, a = 3*o + 2*b - 17. Let t(v) = 18*v - 57. Is t(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3273416 and 33143337?\nAnswer: 265146696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 6.\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.231278 to 1 decimal place.\nAnswer: -67.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:20 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose 2 = -3*d + p*d. Calculate the least common multiple of 1 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.9372 minutes in nanoseconds?\nAnswer: 46016232000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42107061 to the nearest 10000.\nAnswer: -42110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1\/14 (c) 12037 (d) 4\/7 (e) -0.5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - 3 - ((6 - 9) + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**1))**(-1\/44)\/(a\/(a*a**(1\/3))*a)**(-2\/51) assuming a is positive.\nAnswer: a**(4\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64222 and 364056.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/12 + p**3\/6 - 15*p**2. What is t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 4*sqrt(153))\/sqrt(9) - sqrt(170)\/(3*sqrt(10)))**2*6 + 0.\nAnswer: 3400\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5681*r + 6113*r = 21168 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 53. Determine o(-24).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zstztztvsszttvs. Give prob of picking 3 z.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34707?\nAnswer: 3, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64041150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05419762965 + 46384.\nAnswer: 46384.05419762965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(84)\/sqrt(112)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7647 by -8.\nAnswer: 7647\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-12 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1273900 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -y, -3*n = -4*y + 6*y - 4. Let q(d) = -3*d + 14. Let i be q(y). What is the second biggest value in i, 18, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 471 - 471.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8593962 and 7098.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 1. Let w be o(-1). Let a(s) = s**3 - 5*s**2 - 5*s + 7. Let h be a(w). Let g be 4\/h*(-21)\/(-14). Is g < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2536.7 and -42.\nAnswer: 2494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 120 in 0, 3\/5, -2, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 34. Suppose -3*b**5 + 0*b**5 + 132*b**2 - 6*b**4 - 12*b - 120*b**t + 9*b**3 = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let x(i) = -50*i. Let w(u) = 1887*u. Let f(l) = -4*w(l) - 153*x(l). Give g(f(z)).\nAnswer: 204*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**8\/28 + j**6\/6 - j**4\/12 + 85*j**2\/2 + 46*j. Find the third derivative of m(o) wrt o.\nAnswer: -240*o**3 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and ((-4)\/(-6))\/((-2)\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Suppose -s*d + 10 + 2 = 0. Solve 1 + 2 = -y, -3 = -d*a + 3*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 - -136?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -63129 divided by -3?\nAnswer: 21043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1585 = 3*w + 95, 0 = 5*n + 25. Let u = w - -827. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69, 73, 81, 93?\n\"Answer: 2*s**2 - 2*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 70*l - 1049. Let u be b(15). Is -2\/9291 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t*t*t*t**(-19)*t)\/(t\/(t*t**(3\/20)*t)*(t**(-3\/8)*t)\/t) assuming t is positive.\nAnswer: t**(-299\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5521 - -4?\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -10*q + 30. Solve 12 = z - 3*u, -18 = -q*z + u + 2*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 7 (c) -3\/19 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - g**2 - 79*g**3 + 81*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/80 and 187\/1439910.\nAnswer: 11519280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.71837 to 2 dps.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 3504 + 3504.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-38 + 17 - -8) - (-61 + -1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -361*m + 6353. Let z be l(5). What is z rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 48*v**2 - 36*v - 165. What is the tens digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*f - 319*f - 1943047 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.56 + -11.06. Let g = -27.4 - -27.29. What is the third biggest value in y, g, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 585\/(-312)*432\/(-15). Solve -108 + k = 6*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 23*k + 26. Calculate the remainder when w(-11) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzttzttttzt. Give prob of sequence zt.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.3 and 0.14?\nAnswer: -0.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 + 4311*j**3*q + 79*j**2*q - 8*j**2 + 2*j*q + 10*j wrt j?\nAnswer: -120*j**2 + 25866*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/28*((-14)\/15)\/(59\/590).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.680433 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35\/2 + -17. Let n = -15 + 15.7. Let j = 2.3 + n. Which is the nearest to z? (a) 4 (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*-7 - ((-220)\/(440\/10))\/1?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/99*(36\/27*1269\/(-6))\/(-2)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18090123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/21*105\/(-20)*2\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21381\/812 or -26?\nAnswer: -21381\/812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 2*i - 6. Let l(c) = -c**2 + c - 1. Give -4*l(u) + x(u).\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7094632?\nAnswer: 2, 59, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 13*h**4\/6 - 7*h. Let r(n) be the second derivative of -n**4\/12 - 2*n - 1. Determine f(r(w)).\nAnswer: 26*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 6108960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:35 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9675 and 17729975?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163 or 2780\/17?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 3, q: 5}. Give prob of picking 2 m, 1 y, and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3 (c) 0.48377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/n**(2\/7)*n)\/n*n*n)\/((n*n\/(n**(-1\/7)*n)*n)\/n))\/((n*n**(-1\/4))\/(n*n**(-2\/15))))**(1\/27) assuming n is positive.\nAnswer: n**(1129\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(-424522)\/(-21). Let h = -909811\/30 + z. Calculate the common denominator of h and (-2)\/9*(-21)\/12.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98.00047 - 98. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-7.3.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260718 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -234 + 357. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -692 + 9244?\nAnswer: 8552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650695.\nAnswer: 5, 181, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, 364 in descending order.\nAnswer: 364, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/18)\/(4\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81 or 3375?\nAnswer: 3375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 849, -1, -47, 3, -43 in ascending order.\nAnswer: -47, -43, -1, 3, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19631\/60 - 1608\/5. Find the common denominator of 59\/6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2082 - 870. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 70 + 297 + (2 - 3 + 7)*(-1 + 0 + 2))*(0 - 3 + 2)*(-2*a**3 + a**3 + 0*a**3).\nAnswer: 475*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(39) - sqrt(39))\/(sqrt(192) - sqrt(192)*-1).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 17616450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2. Let v(i) be the second derivative of 0*i**3 + 0 + 15*i - 1\/4*i**4 + 0*i**2. What is v(c(p))?\nAnswer: -192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 180 * 11\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.4, -5, -0.49 in decreasing order.\nAnswer: -0.4, -0.49, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8287 + 8287. What is the nearest to m in 16, -4, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 82.60579 nanometers?\nAnswer: 0.08260579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3160937, 6321868, 9482799, 12643730?\nAnswer: 15804661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzazzzzzzzzzzzzzzz. Give prob of sequence zaz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, -2, 0, -4 in increasing order.\nAnswer: -4, -3, -2, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 13*z**2 - 11*z - 13. Give l(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75099*o + 6*o**2 + 115060*o - 190159*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9)*(-18)\/4. Suppose 3*m = 3*n + 39, -m - n = -l*n - 17. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*n + 1, 5*q + 4*n + 4 = 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from dbbb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:14 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. Let p be k(-5). Suppose b + p*b = 24. Suppose -3*g = -2*q - 20, 0*g - 2*g - 4*q + b = 0. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**3 + 9*s**2 + s - 8. Let b(n) = 20*n**3 + 26*n**2 + 2*n - 23. Let q(z) = -6*b(z) + 17*g(z). Calculate q(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*t**2 + 33*t**3 - 9*t**3 - 2 - 6*t**4 + 31*t**2 + 3*t**4 to the form h + x*t**3 + f*t**2 + p*t + w*t**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)\/(z**(-22)*z) assuming z is positive.\nAnswer: z**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6615502 + -2165?\nAnswer: -6621000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 15*l - 1191. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/21 + -1\/21. Let t be (-8)\/((-2 - 0) + 4). Sort 2, t, k in ascending order.\nAnswer: t, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 - -3. Let g = 0 - w. Which is the biggest value? (a) 0 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-40)\/168 - (-1)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0099 in 1, -1, 0.7, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let y(x) be the second derivative of 0 - 3*x + 0*x**2 + 1\/6*x**3. Give z(y(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -6.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-2)\/(-2 - -4). Let m(x) = x - j*x - x - 2*x. Let d(u) = -444 + 444 - 2*u. Give d(m(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -56 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -36, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, -0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 94, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/4 - (-2)\/(-8). Let s(i) = -i + 7. Let d(k) = 2*k + 3. Let p(j) = 5*j + 5. Let x(y) = -7*d(y) + 3*p(y). Let b = -1 - -7. Calculate b*s(c) + f*x(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 296051719 a multiple of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81497 + 26017 = 11096*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -147 (b) -3\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:31 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -20. Suppose r = m*r. Suppose r = 2*b + 3 - 7. Let i(v) = -5*v + 3. Determine i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 445, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 379 = -5*s + 374, 10 = -5*s + 3*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-843)\/33 + -64 + 95 + -5.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 - 208813*i - 3758958 = 0. What is i?\nAnswer: -18, 208831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 4\/5, -2, -118?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 4*g + 10. Let y be m(5). Which is bigger: y or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 117. What is the closest to m in -5, -0.4, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-20)\/(-15))\/((-3)\/(-180))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 9*p + 1. Let n be q(-7). Suppose -2*w + 2*s = 3*s - 119, -3*w + n = -3*s. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 0.4, 1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**4 - a**3 - a + 1. Let q(x) = -7*x**4 - 28*x**3 - 28*x + 42. Let k(i) = -28*h(i) + q(i). What is the derivative of k(g) wrt g?\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105 and -0.0165.\nAnswer: -1.7325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**4\/4 - g**3 + g**2\/2 + 2. Suppose 5*l - 17 = 3. Let p be w(l). Solve 5*c - 15 = -4*d + 6, -4*c + p = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6553861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33647213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -11\/5, -2\/3, 29, -4 in ascending order.\nAnswer: -4, -11\/5, -2\/3, 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-2*q - 9 + 2 - 16).\nAnswer: 2*q + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19663*k**2 - 533 - 542 + 1075.\nAnswer: 19663*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 29*s + 36. Let f(p) = p - 3. Let k(l) = 10*f(l) + 2*h(l). What is the derivative of k(v) wrt v?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29543512\/23 or -1284500?\nAnswer: -1284500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 8*h - 24*h as z*h + b and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -6, -1, 4, -5 in descending order.\nAnswer: 4, -1, -5, -6, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 6*f**2 - 7*f + 23*f**2 - 5*f**2 - 2*f**2.\nAnswer: 2*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18 = -2*q. Let t(x) = -2*x + 14. What are the prime factors of t(q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-139 - 0) + 9\/1. Let m = 772 - d. What is m rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*n + 4 + 1 - 2*n - 1 + (3*n + 0*n - n)*(-149 - 47 - 489).\nAnswer: -1374*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**3 + 9*d**3 - 3*d**4 - 5*d - 3711 + 3707 - 7*d**2 to the form h*d + w + g*d**3 + c*d**4 + f*d**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/6)*u\/u**(2\/15))\/((u*u**1)\/u**(-7\/5)))**(13\/5) assuming u is positive.\nAnswer: u**(-923\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 4. Let c be w(-4). Let k(y) = -y**2 + y + 72000. Let x be k(c). Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from kbxkbxbbkbnbxx?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2064*i + 10053. What is l(5)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 208308?\nAnswer: 208305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22451 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 0 = 98. Let b(x) = -76*x**2. Let t be b(1). Let f = 117 + t. Calculate the remainder when f is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057728 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*y - y. Let p = 7 + y. What is the least common multiple of 11 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 0 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - o = 4*h - 431146, -172456 = -2*h + 2*o. Let s(g) = -2474*g**2 - g + 4. Let w be s(7). Let r = w + h. What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 - 96*i**2 + 19812*i + 39984 = 0.\nAnswer: -98, -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -11. Put 4, -5, a in descending order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7728467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7159.\nAnswer: 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/3 + b. Let z(i) = -i**2 + i. Let s(w) = 3*w**2 - 4*w. Let j(p) = 3*s(p) + 12*z(p). Calculate j(k(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5\/9 - 56*s**4\/9 + 124*s**3\/3 - 232*s**2\/9 - 1424*s\/9 + 608\/3 = 0. Calculate s.\nAnswer: -19, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-8 + 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d - 117. What is the remainder when g(21) is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofkfkffkoqpkpoofgfpo. Give prob of picking 2 f and 1 o.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775796 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 22 = 3*p, -4*d = -3*p - 8*d + 32. Suppose -z + 5*z = p. Solve 5*m - 11 = -z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 47 = -31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b + 329 = -21*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + 6*w + 3. Let u(k) = -k**2 + k - 1. Let n(y) = u(y) + x(y). Let g(r) = -3*r**2 + 6*r + 2. What is -6*g(q) + 5*n(q)?\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-5))\/(-8))\/(270\/(-648))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 10. Let f(z) = -3*z. What is a(f(p))?\nAnswer: 18*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21804 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -578, -0.11, 76 in increasing order.\nAnswer: -578, -0.11, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) + (sqrt(6) - sqrt(24) - sqrt(6))) + -4.\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18586666 to the nearest integer?\nAnswer: 4311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-12))\/(3\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-6*(2*sqrt(440) + sqrt(440)) - 2*sqrt(440)*6))\/((3*sqrt(100)\/sqrt(2))\/(2*-2*sqrt(5))))**2.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 871?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:39 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030 - 11?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13d (base 16) to base 7\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918 divided by 9.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(2*sqrt(7) + sqrt(7) + sqrt(7)) - sqrt(57)\/(sqrt(15)\/sqrt(5)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56 and -846?\nAnswer: -47376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1010.4925 * -1.\nAnswer: -1010.4925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/24)\/((-9)\/(-4))*18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*y + 4*q, -14*q = -9*q + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*p + 238, 48 + 140 = 3*p - g. What is the remainder when 181 is divided by p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143164.6 to the nearest one hundred.\nAnswer: -143200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-189)\/14 + (-3)\/(-2). Let j be (0 + (-16)\/f)*24\/16. Solve 0 = -3*m + j*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20379 + 1.\nAnswer: 20380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/90 + f**5\/120 - f**3\/6 + 2*f**2. Let n(s) be the first derivative of u(s). What is the second derivative of n(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 - 13\/2*o**2 + 13\/6*o**3 + 18*o. Differentiate n(j) with respect to j.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {q: 3, y: 3, m: 1, s: 2, p: 1, g: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 808*g**3 + 76*g**2 + 157 - 200*g + 804*g**3 = 0 for g.\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -6 + 0*f**3 - 3\/5*f**5 + 0*f**4 - 3\/2*f**2 + 19*f. What is the derivative of d(i) wrt i?\nAnswer: -12*i**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1050)\/300*(213\/105*-1 + -14 + 16)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 893321846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = -9. Let o(r) = -r + 13. Calculate o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2203469.\nAnswer: 440693.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 64407\/11 + -5855. Which is the second biggest value? (a) -4 (b) p (c) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7538, 15079, 22620, 30161, 37702?\n\"Answer: 7541*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v + 77. Suppose a + 4*r = -15, 57*a = 60*a + r - 21. Calculate s(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 1144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - b + 10*b + 8. Let v be x(6). What are the prime factors of (-2)\/(-3) - v\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-3 - sqrt(1300))*4.\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112 (base 3) to base 15.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57055 + -2?\nAnswer: -57057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 394798*f. Let u(g) = -2*g**2 + 6*g. Give u(o(q)).\nAnswer: -311730921608*q**2 + 2368788*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 11. Suppose g - 5*g = a + 5, 5*a + 2*g = 47. Suppose 3*h - 4*k - 10 = 0, 5*k - 5 = -h + a. Determine p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 36. Let j be (6 - 0)*10\/(-5). Let x be w(j). Suppose x = 5*u + u - 144. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/102*9\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 20 + 8. Suppose -3*t - 9 = 0, -q*c - t = t - 255. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*s**4 - 2*s**3 - 2*s**3 + 179*s**4 + s**2 - 2*s as v*s**2 + a*s + f + k*s**3 + r*s**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*u**3 - 3168*u**3 + 1210*u**3.\nAnswer: -1567*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmemmepppmpem. What is prob of picking 4 m?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50752 is divided by 4225.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -194\/7 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + ((-2 - 0)*(-2107)\/(-49))\/(5 - 3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + g - 7 = 107, -5*g = n + 2. Let t = 33 + n. Let x(k) = -t*k + 5*k + 2*k + 2*k. Let v(w) = -15*w**2. What is v(x(l))?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620623 is divided by 206603?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 - g + 65. Let q be o(0). Suppose -m + 30 = 4*w - 5, 3*m + 4*w - q = 0. Let k = 224 + -219. What is the remainder when m is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-12)*640\/(-352) - (-10)\/6. Solve -2*t + 3 = -2*u - 17, -25 = -j*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - 5. Let y be -1 - (9 + 1 + l). Let n = 14 + y. Calculate the highest common factor of 36 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022122020 - 0?\nAnswer: -100022122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42789505 divided by -3889955\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 4*v**2 + 2*v - 5. Let u be o(4). Let w(h) = -4*h**3 - 3*h**2 + 3*h. Let m(q) = 5*q**3 + 4*q**2 - 4*q. Calculate u*m(z) + 4*w(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 47. Calculate the highest common divisor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66398, 66399, 66400, 66401?\n\"Answer: u + 66397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -2122, -4753, -8436, -13171?\nAnswer: -18958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 32843320?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4041252*k - 4041252*k + 1686*k**2 + (-2*k + 4*k - 4*k + (1 + 3 - 3)*(-3*k + 4*k - 2*k))*(1 - 1 - 2*k) to p*k + d*k**2 + g and give d.\nAnswer: 1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + c = -12, 2*c = 4*x - x - 14. Let f be (-3)\/(-1) + -6 - 0. Sort x, 0.1, f.\nAnswer: f, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8939.545716841 - -0.103616841. Let z = -8940 - q. Round z to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24610 and 110745.\nAnswer: 221490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (-2*sqrt(78)*4 - sqrt(78)))\/(sqrt(600) + 2*sqrt(600)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**4\/24 - z**3\/6 - 7*z**2 + 21. Let d(p) = 3*p + 6. Calculate -d(w) - 4*s(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((339 - 315) + -1 + -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 4*h**2 + h**2)*(-36*h**2 - 2*h - 2*h + 30*h**2).\nAnswer: -12*h**4 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (92\/6)\/((-2992)\/246). Let n = q + 2\/187. Which is the third biggest value? (a) -0.06 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39\/(-26))\/(1\/(-2)). Suppose -6 = -o*p - 3. Calculate the lowest common multiple of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f**5 + 13*f**4 + 13*f**2 - f - 355 wrt f.\nAnswer: 320*f**3 + 156*f**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3157 = 7*z - 791. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2169 + 2222 + 2 + -27.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564*p + 113*p - 1949*p.\nAnswer: -1272*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 14 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 + 1)*(-1)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(405)*-1) + sqrt(240)\/sqrt(12).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z*z**(-6\/11))\/z)*z**(-8\/3)*z*z**(-2\/25)*z*(z*z**(-6)\/z)\/z assuming z is positive.\nAnswer: z**(-5941\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.052 - -20.948. Let u = -24 + l. Let b = 2.8 + u. What is the third smallest value in -5, b, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*s - 0*s + 97, 5*s - 4*c - 121 = 0. Solve s = -2*z - 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 35. Suppose -z = -2*b + 54, -z = -3*b - 2*z + l. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018, -1020, -1024, -1030, -1038, -1048?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**4 + z**3 - 1. Let s = -10 + 5. Let t(a) = 4*a**4 + 5*a**3 - 4*a - 5. Let h(y) = s*r(y) + t(y). Find the second derivative of h(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-9)\/8. Let m = 47\/40 + r. Let h be 8\/(-60) - (-26)\/195. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.3668974 to two dps.\nAnswer: 18.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*z + 136 = 0. Calculate the remainder when 48 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 11*d**2 - 16*d - 19. Let v be f(9). Put -3\/4, -0.1, -2\/11, v in decreasing order.\nAnswer: -0.1, -2\/11, -3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1038320 and 2180472?\nAnswer: 21804720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3160418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/5 + 1086*g + 49032\/5 = 0?\nAnswer: -9, 2724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 5. Suppose -g = -3*h - 2*z, -5*h = -5*z + 31 - 11. Suppose h = 2*s - 11 - 3. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(-1 - 39\/(-15)). Let g(u) = 68*u + 7. Let p(q) = -340*q - 36. Let z(h) = -11*g(h) - 2*p(h). Is z(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:45 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*o**2 - 63*o**2 + 41*o**2 to the form t*o + l*o**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14979*g**3 + 3*g**2 + 10*g + 9. Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + -1.4. Let u be 2300\/300 + (1 - 8). What is the second biggest value in s, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b**(-2\/37)))*b**(-20) assuming b is positive.\nAnswer: b**(-705\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78645*d**3*m**3 - 841*d**3*m**2 - 3*d**2*m**3 - 6*m**3 - 140*m**2 wrt m.\nAnswer: 471870*d**3 - 18*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e2ea86 - -5?\nAnswer: e2ea8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 28*c + 4*z + 17 = 0, -5*z - 25 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 - 3*c**4\/2 + 9*c**3\/4 - c**2 = 0. What is c?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -699, -1557, -2745, -4257, -6087?\nAnswer: -8229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*d + 1 + 8 = 0, 0 = f + 4*d - 8. Suppose -11 = 3*i + f, -4*i - 128 = -4*q. Calculate the least common multiple of q and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 434844 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33141, -32898, -32655, -32412, -32169?\nAnswer: -31926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8563 - -1?\nAnswer: -1b8562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.13 (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (374*(-99)\/(-10890))\/((-12)\/10).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*f - 7 = -97*f - 4*z, 0 = -5*f - z + 42. Calculate the lowest common multiple of f and 489.\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5505 - 5493. Let j(s) be the second derivative of -s**4\/12 + 7*s**3\/3 - 25*s**2\/2 - s. Let m be j(z). Let v(i) = 2*i - 1. Calculate v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 4*h + 16*k - 35, k - 21 = -3*h. Calculate the lowest common multiple of h and 225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -102. Suppose -1 = -3*p + 6*p + k, -3*k = -2*p + 3. Suppose p = v - 5*v + 20. Solve w*y = v*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 3*x**2 + 3*x. Let a(p) = -2*p**3 + 2*p**2 - 2*p. What is 3*a(h) + 2*r(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175036874 + 11*k**3 - 175036874.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686607 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 35 (b) -5 (c) -0.145 (d) 1\/8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -41. What is the remainder when 50 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 7*x**5\/30 + 2*x**3 - 11*x**2 - 28*x. Let m(b) be the first derivative of y(b). Find the first derivative of m(u) wrt u.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/465)\/((-6)\/180).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 5:05 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7290535 centuries in years?\nAnswer: 72.90535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12471.66 hours to days.\nAnswer: 519.6525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a = -5. Suppose 0 = -4*x - 40 - 0. Let t be (10 + x)*(a + 0). Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1*(-4 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 1) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = r - 4*r - 5*t, 0 = -2*r - 5*t + 94. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -717, -741, -765, -789, -813?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.1492634?\nAnswer: -0.008955804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11.2 (b) -18 (c) 1\/5 (d) -9 (e) 5 (f) -5 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 103, 149, 195, 241?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29762 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 5*w, -w + 1 = 4 + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3313 - 3318 - 3323 - 7394*b**3 + 9954.\nAnswer: -7394*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -720055 (base 8) in base 14?\nAnswer: -62845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let u(h) = -803*h**2 - 3*h. Determine k(u(i)).\nAnswer: 803*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 61. Sort 5, -4, c.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-33 + 37 - -14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1942, -35, 2\/5 in decreasing order.\nAnswer: 1942, 2\/5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15022289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.2, 0, 27, 2, -1137, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 8*d**2 - 10*d + 19. Let u be h(7). What are the prime factors of 192*(5\/u)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 77, 1, -5.\nAnswer: -5, -2, 1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3477113*z**2. Let u(y) = y. Calculate u(g(p)).\nAnswer: -3477113*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 + -0.1?\nAnswer: 1417.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 13*z**2 + 7*z + 19. Let p(m) = 2*m + 43. Let b be p(-18). Let g be j(b). What is the greatest common divisor of g and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27.10875ml?\nAnswer: 0.02710875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 13572 - 13883 = 658607. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from gzzig.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 4*a + 3. Let k be j(-3). Let v be 0 + (-27 + 0 - 3). Is (69\/(-5))\/(k\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.33467781 rounded to 1 decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(4 + (909\/(-102) - -5)). Let w = g - 198. Solve 2*k - q = -3*k + w, -3*q = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2344581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(847) - -4*(sqrt(847) - (sqrt(847) + sqrt(847)*3))) + 1 - (-1 + 1 + (sqrt(847) - (sqrt(847) - sqrt(847)*4)) + sqrt(847)))**2.\nAnswer: -352*sqrt(7) + 216832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 5, o: 1, z: 1, h: 7}. What is prob of picking 2 r and 1 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (-1 + 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -127*y + 1167. Let d be v(9). Solve -d*g - 67 + 211 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/9*((-4)\/30 + (-762)\/360). Let z(w) = 17*w**2 + w - 1. Let q be z(-2). Suppose -6*c = -c - q. Solve v = -p*s + c, 4*v = 4*s + s + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*2*(-5)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 11*k - 8. Let x be y(-9). Let s be (-2)\/((-74)\/x + -3). Factor -3*u**2 + 2*u**5 + 7*u**2 + s*u**4 - 17*u**4 - 2*u.\nAnswer: 2*u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67639?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.31 (b) 9\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -8, -184, -3\/2, 8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1034\/(-1694) - 3\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305 or 306?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/595 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g + 111*g**3 - 112*g**3 - 2*g wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/38)\/((-3)\/(0 + -9))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102 + 1?\nAnswer: 22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h*m**3 - 7870*h*m**2 - 2464795*m**3 - 8546*m wrt m.\nAnswer: -36*h - 14788770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -3*o + 0 + 0*o**2 + 1\/3*o**3. Let c(y) be the third derivative of y**5\/60 - y**2. Determine c(d(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24397829 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 132 = u + 692, -5*s + 3*u = -1380. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/21 + 482*c\/21 - 2676\/7.\nAnswer: -2*(c - 223)*(c - 18)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-1216)\/(-136)) + -1 + 27.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*o + 556*o + 328 = 4216 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-168))\/(1\/(-12)))\/(63\/(-105))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21681, 41705, 61729, 81753, 101777?\n\"Answer: 20024*c + 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 10*x**2 + 10*x + 1. Let a be v(9). Let t be a\/(-40)*2\/(-3). Let h = 2.6 + -3. What is the closest to -1 in h, -4, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, -19, 3 in descending order.\nAnswer: 5, 3, -19, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 2, x: 1, k: 4, h: 4, n: 7}. What is prob of picking 1 s and 1 i?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209317897 + 1297980276536\/6201. Let w = q - -39\/53. Find the common denominator of 31\/182 and w.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 653.57841 and -0.2.\nAnswer: -130.715682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*o**2 + 8678639*o - 101814456 with respect to o.\nAnswer: -14*o + 8678639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67635 and 37691065?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.9 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121))\/sqrt(11) + sqrt(11) + 4.\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*m + 10, -2*a + 1 + 1 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12*j - 11. Let z(n) = -6*n + 5. Let q(d) = -3*m(d) - 5*z(d). Let k be q(-6). Suppose -5*l = -l - k. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*a - 530, 5*a = 7*a - 10. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2159, -23, 3, -17, -2 in descending order.\nAnswer: 4, 3, 0, -2, -17, -23, -2159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*a**2 + 95*a**2 - 158*a**2 + 66*a**2 to s + f*a + c*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 48 - 51 + 7*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2001066 - n**3 + 1000535 + 1000531 + 2*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12222, -24463, -36718, -48993, -61294, -73627, -85998, -98413?\nAnswer: -110878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 9:09 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5 + n + 4 + 0. Let u(r) be the third derivative of -r**4\/3 + r**3\/2 - 175*r**2 + r - 1. Determine 3*a(w) + u(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 567 - 282 + p**2 - 3*p**2 - 22*p**3 + 0*p**3 - 284. Determine h(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(448))*6 + 1 + 1 + (sqrt(448) - sqrt(448)*-2) + -2)**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231402 is divided by 10189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**8\/8064 - a**7\/5040 - a**6\/2160 - 5*a**4\/24 - 2*a**2. Let n(d) be the second derivative of y(d). Solve n(v) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668509267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346791 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9162320 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*n + 343, -2*p + 7*p + 1715 = 2*n. Let c = p + 518. Suppose -6*t + t = -c. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -55. Which is the second biggest value? (a) -2 (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -85, 10, 3 in decreasing order.\nAnswer: 27, 10, 3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 4. Let n be p(0). Let k be 1\/n + 183\/12. Suppose x + 2 = k. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 35*w**2. Let n(u) be the third derivative of u**5\/10 + 31*u**2. Determine n(a(p)).\nAnswer: 7350*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-1150)\/150)*(-4)\/72.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3753*v - 14 = 3754*v + 2*u, 7*u + 34 = -2*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:30 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2050, 2043, 2016, 1957, 1854?\n\"Answer: -2*o**3 + 2*o**2 + o + 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/13)\/((-4120)\/(-80340))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:58 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:40 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -346 * -4.62\nAnswer: 1598.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152208 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f - 12*f - 7*f - f to d*f + y and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554445 divided by 36963.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57998*p**3*u**4 - 14346042*p**3 - 2*p**2 + 3*p - 1341*u**4 + 2 wrt u.\nAnswer: 231992*p**3*u**3 - 5364*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 18 + 29*o + 26*o - 56*o.\nAnswer: -o - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/13 + 90*n**3\/13 + 2934*n**2\/13 + 25102*n\/13 + 67620\/13 = 0.\nAnswer: -10, -7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**37*w*w)\/w))\/(w**11\/w*w))\/(w**(5\/11)*w)**(-5\/6))**48 assuming w is positive.\nAnswer: w**(-24704\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.8 and -0.109654?\nAnswer: -3.0483812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645231621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q + 35. Let p(f) = -25*f + 106. Give 17*l(k) - 6*p(k).\nAnswer: -3*k - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11812455 divided by 101?\nAnswer: 116955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3979280319?\nAnswer: 3, 7, 189489539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/285975 >= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.101 - -0.101. Do z and 0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 11*j + 1. Let l be d(5). Let r = -11 + l. Let y = 31\/3 - r. What is the closest to 2 in 1\/2, -2\/11, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 126740*d + 253460.\nAnswer: 5*(d - 25346)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**3 + 336*y**2 - 80*y.\nAnswer: -12*y + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 12. Suppose 0 = q + j - l, -2*q - 3*q + 17 = -j. Suppose 4*t - 32 = -3*n, -9 = q*n + 3*t - 8*t. Let b(c) = -2*c**2 + 5*c - 1. Give b(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3318 by -21910.\nAnswer: -237\/1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/5 + 28*l - 141\/5 = 0.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**50)**(-3\/14) assuming m is positive.\nAnswer: m**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(5\/2)*d*d**(4\/5)*d)\/(((d*d**(2\/7))\/d)\/d*d)**(7\/4) assuming d is positive.\nAnswer: d**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13824, -7706, -1588, 4530, 10648?\nAnswer: 16766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (318\/9)\/((-4)\/(-608568)). Let b be (-3)\/12 + u\/16. Suppose 4*s + 0*v = 4*v + b, -2*s + 167975 = -5*v. What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 62. Let q(j) = -54*j - 49. Let f be q(-1). Let s(z) = z**3 + 2*z**2 - 4*z - 8. Let w be s(f). What is the greatest common divisor of w and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -77\/3. Let v(q) = q**3 - 2*q**2 + q + 2. Let t be v(3). Let r be -1*2 - (-24)\/t. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 174218.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22\/899 + -64181\/14384. Find the common denominator of n and -151\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (27183\/(-299) + (-2)\/23)*-1 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29426 = -d - 3*t - t + 29433, 5*d = -2*t - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odpdoodddo. What is prob of picking 2 d and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 20 + 17)*(0*c + c**2 + 0*c)*(-18*c - 145 + 145) as f*c**3 + t*c**2 + s + p*c and give f.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810725903 divided by 808301.\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 871 divide 25691887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82325281.\nAnswer: 71, 997, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-147))\/((3\/21)\/((-7)\/(-28)*-2)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(68) - (3*(sqrt(68) - (sqrt(68) + sqrt(68) + 1*sqrt(68) + sqrt(68))))**2 - sqrt(68))).\nAnswer: -22024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 8. Suppose -4*h - 4*l + 7 + 1 = 0, 2*h + 3*l - v = 0. Suppose -6 = -2*f, c + h*f = -c + 260. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 71*f - 1516. Calculate u(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208294 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 45*r - 2 = 0, -5*r = -5*i - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 102, -1049\/3 in ascending order.\nAnswer: -1049\/3, -2, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125433154094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 6\/7 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = 7*n + 417. Put n, 5, -5, 2 in increasing order.\nAnswer: n, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 473580 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4067043739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, -15, 0.\nAnswer: -15, -8, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuduhoouh. What is prob of picking 1 d and 1 o?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*f - 6*z + 965 = -10*z + 399, 0 = -f + 4*z - 94 for f.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s = -23*s - 40. Suppose -s*n - 3*y + 108 = 0, 40 = -4*n + 5*n - 4*y. What is the greatest common factor of 15 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 7*w**2 - 153*w + 11. What is the thousands digit of l(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:08 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 4. Determine h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(171) + -5*(sqrt(171) + (sqrt(171) - (-1*sqrt(171) - sqrt(171)))))*-1*3)\/(-6*sqrt(45)\/(3*sqrt(500))).\nAnswer: -285*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Let f be m\/18*20*3. Suppose -3*y = 2*y - f. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 162 - 108. Let o be (c\/(-8))\/(36\/(-192)). Determine t, given that -12*t**2 + o*t**2 - 20*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 56826.492321\nAnswer: -56826.792321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**6\/120 - m**5\/80 + m**4\/48 + m**3\/24 + 4*m - 1. Let k(a) be the first derivative of q(a). Determine n so that k(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-45))\/(1\/(-5)). Let x(t) = 4 - 4*t**2 - 7*t + 2*t**3 + 7*t. Let j be x(z). Solve -j*h = 4*s, 3*s - 2*s + 5*h = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68934?\nAnswer: 2, 3, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 763769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*m - 281 = p + 71, -4*p = -2*m + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1429 - 4503 + 5*r + 5926. Let f = -9 - -14. What is d(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4\/4 - 7*t**3\/3 + 7*t**2\/2 - 7*t + 3. Let z be a(-8). What is the second smallest value in z, -0.1, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2535 = -10*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 393*t - 191. What is the tens digit of n(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 3*n, -n = -0*n + 1. Let m = s - -2. Let d be (-1)\/(-3)*1*(-6)\/(-2). Solve -4*k + d = -m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Let k(c) = -c**3 + 4*c**2 + c - 1. Let i be k(h). Solve 2*f = f + i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-3)\/(-2) - 4. Suppose 161 + 169 = l*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6846 - -6825. Which is the closest to 0? (a) 11 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l + 28*l - 3*l)*((l - l + 2*l**2)*(-l + 0*l + 2*l) + 37 - 37 + 7*l**3 + 2*l).\nAnswer: 333*l**4 + 74*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175710582?\nAnswer: 2, 3, 11, 4374257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40308041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*((2 + 0 + sqrt(320) + 2)*-6)**2.\nAnswer: -12096 - 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 + 7)*(0*i - 3*i + 9*i)*(-5*i**3 - 3*i**3 + 9*i**3).\nAnswer: 66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7107 - 7102. Let u = 1 + 1. Solve u*f = z*q - 1, q + f = -0 - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2016 + -22200\/11. Let d = 1979 - 7831\/4. Find the common denominator of k and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t = 873. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 261.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620655 and 531990?\nAnswer: 3723930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.0064, 0.113, -1?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 4, o: 1, i: 1, y: 9, k: 1}. What is prob of picking 2 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*t - 12 = 198*t. Let f(p) be the third derivative of -1\/8*p**4 + 18*p**t + 1\/15*p**5 + 0 + 0*p - 1\/6*p**3. Factor f(j).\nAnswer: (j - 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k + 8*k**2 + 0*k. Let p(y) = -4*y - 5. Let a(l) = -l - 1. Let x(m) = -5*a(m) + p(m). What is x(v(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 34*l - 18. Let p(w) = -3*w**2 - 94*w + 52. What is -17*h(u) - 6*p(u)?\nAnswer: u**2 - 14*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 10370 + 2510. Let r = 964 - k. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9854752 by -4.\nAnswer: -2463688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 3. Determine o(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/46)*o*o)\/(((o*o**2)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-1\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 12*k + 210. Let t = k - -58. Solve 4 + t = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -147, 2, -0.1, 36 in decreasing order.\nAnswer: 36, 2, -2\/27, -0.1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liii. What is prob of sequence ii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14986672867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.3. Which is the fourth biggest value? (a) 1\/4 (b) -13 (c) 3 (d) n (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326 = -0*m - 2*m. Suppose -12*c + 57 + m = 0. 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 o(q) = 0*q**2 - 2*q - 4 + 1 + q**2. Let y be (-12)\/4 + 5 + -4. Calculate the remainder when 8 is divided by o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34314 and 549024.\nAnswer: 549024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 32*u + 15. What are the prime factors of m(15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(88)\/(sqrt(8) + sqrt(24)\/sqrt(3)) + 1).\nAnswer: 5 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 7498 and 7506 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 275406.1 * -0.01\nAnswer: -2754.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*j - 598 + 613, 0 = 3*z + 3 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 times 0.0836\nAnswer: 0.0034276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.4 (b) -5 (c) 3 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1782 and 4422.\nAnswer: 119394","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2211, -4, 3, -2 in decreasing order.\nAnswer: 2211, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 6 - (29 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 + 0.4. Let w = -1 - -0.98. Let r = 0.12 + w. What is the third biggest value in 1\/4, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*-2 - sqrt(72) - sqrt(72))\/sqrt(8)*-3)\/(sqrt(108)*1*-1))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -301, -0.4, 4?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 - p**4\/4 + p**3\/3 - 2*p**2 - 53*p. What is k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -452766 and 6112898.\nAnswer: 5660132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6678 - 5.6678. Which is the closest to 0? (a) 43 (b) g (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 2 - 2)*(-x - 2 + 2)*(-1 - 16 - 22 + (-5 + 1 + 3)*(4 - 4 + 2) + 1 + 2 - 4 + 0 + 0 - 1) as i*x + h*x**2 + t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5231391 = -10*f - 5230781 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 1, l: 1, y: 8, k: 2}. Give prob of sequence kym.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30817 - -30798.658. What is d rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100666501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 46*n**3 + 2 + 43106*n**2 - n - n - 43106*n**2 as x + r*n**2 + u*n**3 + w*n and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6 = 0, 3*d - 2*p + 6 = 6*p + 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4 + 21*r**3 + 1046828*r**2 + 65334693*r?\nAnswer: -12*r**2 + 126*r + 2093656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u + 1\/60*u**5 + 32*u**2 - 1\/3*u**3 + 0 + 7\/24*u**4. What is d(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -1 (c) 7\/9 (d) 3 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7919*l**2 + 33409 wrt l.\nAnswer: 15838*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 213*h**2*p**3 - 15*h**2*p**2 - 3828*p**3 wrt h?\nAnswer: 426*h*p**3 - 30*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2109260*a**2*j**2 - 7*a*j**2 - 330814*a*j - 2*j**2 wrt a.\nAnswer: -4218520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30756 and 997240.\nAnswer: 32908920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*d + 24, 828 = 4*r + 796 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + n + 33 = 0, -39 = -3*d - 169*n + 172*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 8*b + 1. Suppose 0 = 4*g - 20, 5*g - 15 = -5*s - 0*g. Suppose 0 = -3*d + 3*o - 15, -2*o - 3 = -5*d - 25. Let m = d + s. Give f(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82123.\nAnswer: 41, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -222249540.1 rounded to the nearest 10000?\nAnswer: -222250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n + 2*n**5 + (0*n - 2*n - 2*n)*(n**4 + 2*n**4 + 0*n**4) + 10*n**5 + 3*n**5 + n**5.\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = 10. Suppose u*o = 6 - 32. Let c = -9 - o. Calculate the highest common divisor of 12 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**3 - 4194*f**2 - 16812*f - 16824 = 0?\nAnswer: -2, 1402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1552*y - 69864. Calculate n(-45).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - m. Let a be z(1). Let i be -3 - (3\/a - 0). Put i, -5, 4 in descending order.\nAnswer: 4, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605 (base 7) in base 9?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - n**2 - 14*n + 3. Let x be j(3). Let g(d) = -100*d**2 - 34*d - 34. Let a(p) = 9*p**2 + 3*p + 3. Determine x*g(l) + 68*a(l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7 + 5. Let y(m) = 7*m**2 - 8*m + 8. Let u(j) = 2*j**2 - j + 4. Let v(o) = 3*u(o) - y(o). Determine v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/12*1)\/((-3)\/279) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4585\/2100 + 8883\/(-4230).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 2*t, 3*x - 5 = -x - 3*t. Let u = 0.2 + 1.4. Let q = u + -2. What is the closest to -0.1 in 0.3, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1720 + 8*x**3 + 1720 + 3*x**2 + (-3*x**2 + 5*x**2 - 3*x**2)*(-2*x - x - 2*x) to v + y*x**2 + d*x + z*x**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2312 is divided by 2289.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0 - 3 + 0 + 0*t + 5*t. Let m(a) be the second derivative of 22*a**3\/3 - 13*a**2 + 68*a. Let i(k) = -6*m(k) + 52*z(k). Let d(y) = -y. What is d(i(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -1259*c**6\/30 + 1299*c**2\/2 - 1157*c. What is the derivative of x(b) wrt b?\nAnswer: -5036*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15421 is divided by 15352.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) 6 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, f: 1, n: 1, o: 2, l: 3}. Give prob of picking 1 l, 1 f, and 1 o.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i - 372. Let s be h(38). Solve 21*l - s = -25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12222 and -47\/336?\nAnswer: 97776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 13*d**2. Let j(p) be the first derivative of -p**4\/2 + 2*p**3 + 449. Give 13*j(r) - 6*l(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20020201203 (base 4) in base 11?\nAnswer: -1226943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4198 minus 195?\nAnswer: -194.5802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*x + 741*x = 204 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -105*o + 4217. Give y(33).\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.2 + -2.085. Let p = y + -0.115. Which is greater: -9\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1192\/3*l**2 - 2\/3*l**3 - 240000 - 58400*l = 0.\nAnswer: -4, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*s = 4*q + 14, -q - 4*s - 13 = 0. Let f be (-255)\/6 + q\/(-2). Let c = 65 + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12234\/23 + -532. What is the nearest to -2 in k, -7, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 2. Let t(f) be the third derivative of f**4\/24 + f**3\/6 + 11*f**2. What is 4*d(h) + 9*t(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n**2 - 3*n)*(-99 + 8 - 29 - 200).\nAnswer: -320*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 132.6. Let c = -17.5 - z. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = t - 2*b - 19, -4*t - b - b + b - 112 = 0 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 4*m**2 + 0*m**3 + 3 + 2*m**3 + m - 3*m**3. Let j be h(5). Let w(t) = 7 - 2*t**2 - 1 - 4 + j*t. Give w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(114\/(-14))\/(8562\/(-19978)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + -0.04. Let j = 167 + -166.9732. Let y = j + g. What is y rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -31*r + 14*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038 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: Let c = 1871\/7 - 267. Suppose -2*k = 3*k - 20. Suppose k*q + 9 = x - 1, q + 4 = x. What is the second smallest value in 0.02, q, c?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-10)\/(-15)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 - -415. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2327.77*0.051\nAnswer: -118.71627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149770117, -149770118, -149770119, -149770120?\nAnswer: -149770121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)*c)\/c)\/c**(-1\/3)*c**(2\/3)*c\/(c**(-6\/7)*c))**(-7\/4) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/4 + 4*q**3\/3 + 39*q**2\/2 - q - 20. What are the prime factors of p(-9)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 - 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 4.3. Let s = -0.4 - 1.6. Let m = s - k. Is 0.1 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2009042 and 150.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2\/8 - 31977*d\/4 + 340842843\/8 = 0. Calculate d.\nAnswer: 10659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2*sqrt(385))\/sqrt(7))\/(sqrt(11) - (sqrt(11) - sqrt(66)\/sqrt(6))*-3))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*9\/(-15))\/((-2)\/5). Let k(m) = -11*m - 4. What is the remainder when k(z) is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 15. Suppose -s + 6 = -r*s. Let k(d) = d - 1. Give k(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**2 - 3*v**2 - 3*v**2 - 8*v**2 to k*v + n*v**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*p = -11325, p - 4530 = -7*z + 5*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l - 4. Let a(s) = -16*s - 5. Calculate 4*a(r) - 5*z(r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -y - 4*y + 4, 20 = 5*y + 5*c. Let p(m) be the second derivative of y*m**2 - 1\/12*m**4 + 0 - 1\/2*m**3 - 37*m. Factor p(r).\nAnswer: -r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/4 of a kilogram?\nAnswer: 7250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11569501, -11569503, -11569505, -11569507?\nAnswer: -11569509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l + 10. Let h be c(8). Suppose 222 + h = 4*k. Round k to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0.3. Let d = 4 - -17. Let h = d - 22. Put 4, h, k in increasing order.\nAnswer: h, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758280 divided by -189570?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from vyyytrttyrrrtvr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2858 less than -5?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 6 + 7 - 294*f**2 - 18.\nAnswer: -294*f**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-4)*(-4)\/5. Suppose -2*j + 10 = 2*y, -4*j - 4 = -0*y - r*y. Suppose 2*g + 2*g - 1016 = -3*z, y*z = 5*g - 1239. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o - 12. Suppose -2*z - 2*q = -16, -3*z + 95*q - 93*q = -19. Calculate t(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/21, 2\/3, 5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.047.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*i - 4*i = 4, 5*p = i + 1. Suppose 4*w = -w + 10, -3*m - 3*w + 24 = p. Solve -3*f + m = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1566\/7, 6\/11, -1267, 5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8317, -8321, -8325, -8329, -8333?\n\"Answer: -4*d - 8313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 23*q + 31*q - 53*q + 1. Let z(n) = -4*n**2 - 10*n - 3. Let f(g) = 3*d(g) + z(g). Solve f(x) = 0 for x.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8859 is divided by 8838.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -39. Let f be (36\/24)\/(g + (-23023186)\/23023192). Let y = 15444202 + f. Round y to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342 - -4?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -621*h*q*x - 17*h*x**2 + 5*q*x**2 wrt x?\nAnswer: -34*h + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-27)\/(-63) + (-75)\/(-21)). Solve 22*t + 302 - 346 = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5441 at least as big as 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173493513 + 1?\nAnswer: 173493514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273852468*p**3 - 541840571 wrt p.\nAnswer: -821557404*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1394*u**4 + 9*u + 12?\nAnswer: 16728*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*i + w = -353*i + 6, 5*i - 5*w = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -195637 times -5?\nAnswer: 978185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.11 + 38.11. What is the nearest to -0.2 in l, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 48*z**2 - 19*z**2 - 4*z**2 - 9*z.\nAnswer: -71*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1780 = -4*y + 4*f - 5*f, -f = 3*y - 1336. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d**2 + 2*d. Let t(f) = 2*f**2 - 2*f. Let m(p) = -6*p**2 + 3*p. Let b(i) = -3*m(i) - 3*t(i). Give -2*b(g) - 3*j(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*3*(-3 + 3 + 1*sqrt(147) + 3 + 2 + sqrt(147) + sqrt(147)))**2.\nAnswer: -60660 - 9450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5532399 and -0.8.\nAnswer: -4425919.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1104*n - 17. What is the tens digit of s(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:39 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 - 9) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15652991, -15652987, -15652973, -15652943, -15652891, -15652811?\nAnswer: -15652697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = 4*c, 0 = -5*i - 4*c + 6*c - 6. Suppose 5*f - 3*f - 6 = i. Let j(b) = -f*b + 2*b + 2*b. Let v(t) = 3*t. Calculate j(v(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -202. Let w be h\/156 - 3\/(-12). Let g = 7.97 - 8. What is the biggest value in g, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/4)\/(8\/64). Suppose 4*n + 2220 = b*n. Suppose 23*h = 21*h + n. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(7))**2*-2 - (sqrt(70)\/(-1*sqrt(10)) + 1*(sqrt(7) + 0 - sqrt(7))).\nAnswer: sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 10*f - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 7. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5530217 and 5530216 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75\/4 + -517\/28. Let i = -46 - -45.8. Sort g, i, 0.5 in increasing order.\nAnswer: i, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f**2 - 4*f - 28*f**2 + 4*f - 30*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 28. Suppose -d = 5*k - 17. Solve -g + k*g + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 134 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/30*(-9)\/(-2). Suppose g*a = 4*m - 19, -a = m - 1 - 2. Put -4, m, -3 in descending order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 9. Let t be (-5)\/(-10)*(3 - -1). Let d(u) = -u**2 - 7*u**t + 7*u**2. Determine d(z(h)).\nAnswer: -4*h**4 - 36*h**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -1741a?\nAnswer: -17423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 3*d + 19*a - 3507, -4*a = 5*d - 5845. Do 1169 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -11, -3, 21, 67?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/25*15\/(-6)*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 20. Let b be t(-14). Suppose -7*f + 71 - b = 0. Let q be 6\/8*(-3)\/f. What is the closest to q in 5, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4413108 divided by 2247?\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 27\/8, 0.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiizziiizzzi. What is prob of picking 1 i and 2 z?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + p)*(-3*p**2 - 2*p**2 + 7*p**2) + (-19*p**3 + 258*p**2 - 258*p**2)*(-14 - 25 + 0).\nAnswer: 745*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-3 - sqrt(112)) + -2 - sqrt(112) - (sqrt(112) - 6*(-1 + sqrt(112))))**2 - (-2 + 0 + sqrt(112) + 1)**2*5.\nAnswer: -501 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*t - 14630*l - 9198*t with respect to t.\nAnswer: -2*l - 9198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1408) - (-6*(1*sqrt(1408) + sqrt(1408)) + sqrt(1408))))\/((1*sqrt(648))\/(sqrt(100)*1)).\nAnswer: -160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 11*j**2 + 2*j + 7. Let s = 28 + -39. Let z be f(s). Let m be (12\/z)\/(44 + -6). Is -1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*a - 62 = 4*s, 3*a = -2*s - 42. Let y = s - -31. Suppose 0 = -t - 4*l, 3*t - y = -t - 3*l. Solve t*v - 4 + 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 12 = 20*n - 39*n, 10 = -8*y - 0*n + 2*n - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = 1. Let y = 8 - j. Let u be (1\/(-1))\/(y\/(-6)). Solve 4*t - u*h = -24, -h + 0 - 4 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345 - 111 + 3*u**3 + 157 + 581.\nAnswer: 3*u**3 + 972","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9. Let j be (-3 + 2)\/(3 + -14)*2. Let h = -3\/29 - -79\/203. Which is the closest to i? (a) j (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1628 and 328856?\nAnswer: 328856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18179 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1141334821\/15203 - 75073. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + 20a9?\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/16)\/(2\/80) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 5. Suppose 0*n + 6 = -6*n. Let q(o) = -4*o**2 - 4*o + 1. Let z be q(n). Calculate the lowest common multiple of m(z) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010011100011 (base 2) to base 7\nAnswer: 102262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22292017 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74099, -5, 167 in decreasing order.\nAnswer: 167, -5, -74099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/(-20) + 4\/(-20). Let y be b\/15*3\/((-12)\/(-10)). Let d(c) = -2*c + 7. Let o be d(-3). Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 65575.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -683917*k**2. Let v(q) = -16*q**2. Determine v(a(d)).\nAnswer: -7483879406224*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 4) in base 11?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9932.732 millilitres?\nAnswer: 9.932732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeevvvve. Give prob of sequence ve.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44208 is divided by 4919.\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1133*u**3 - 5284*u**3 - 2 - 1.\nAnswer: -6417*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5905, 11827, 17749, 23671, 29593?\nAnswer: 35515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5864386)\/(-121)*((-3)\/2)\/(-3). Suppose -39*g - r = -50*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -2*r - 3*s, -4 = 5*s + 16. Is -64 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 - (-9 + (10 - 7) + 10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 523478632 rounded to the nearest 100000?\nAnswer: 523500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6111933 divided by -3?\nAnswer: 2037311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (146 + -131)\/(1 + (38850\/(-12951) - -2))?\nAnswer: 3, 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + b + 1. Let m be (1 + 0)*(-14)\/14. Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1075)\/5031 - (-12)\/27.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4225, -1991, -12, 1.\nAnswer: -1991, -12, -2, 1, 4225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4077*1416\/(-236).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 2*m**2 + 2*m. Let v be j(1). Suppose g + v*g = 24. Suppose -383 = -i + a + 2*a, g*a + 1129 = 3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 38, 49, 64, 83, 106?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13524*i**2*o**2 + 2095923*i**2*o + 140*o**4 wrt o?\nAnswer: 27048*i**2 + 1680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-20)*-54 - 152\/380. Suppose 3*b + 2*r - 31 = 0, 41 = 4*b - 3*r + 6*r. Sort h, 2, b, -2 in descending order.\nAnswer: b, h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 50*w = 49*w + 10, -b = -5*w + 34 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -15*i + 16. Solve -i*q - 15 = -5*b, -3*b - 2*q + 40 = 3*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 124545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 818624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96558 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**2 - 3044*x - 198. Let v be p(203). Suppose -4*w = -3*w - 3. Solve -w*b = -v*j - 25, j = -0*j - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 762\/205 - 88117\/19680. Calculate the common denominator of u and (-9)\/(-4)*(-551)\/87.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from npo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - -0.19. Let g = 0.05 + s. Which is the third biggest value? (a) -1\/10 (b) -5\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 263 = 5*o, 0 = -1136*a + 1135*a + 7*o - 369 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703 is divided by 407.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 9*t + 16. Let m be ((-4)\/6)\/((-4)\/(-42)). Let c be w(m). List the prime factors of 38*c + 2 + 0.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, -27, -303, -597, -909?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 351*x**2. Let f(g) = 23*g - 120. Give f(m(j)).\nAnswer: 8073*j**2 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 509758, 509782, 509806, 509830, 509854, 509878?\n\"Answer: 24*o + 509734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35212?\nAnswer: 2, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*k - 32 = 9*k, 5*k = w - 24. Solve -o + 18 = 4*y, -y - o = -2 - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:49 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24469699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1113142 + 3?\nAnswer: -1113135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8)*-2*12. Let x(z) be the second derivative of z**5\/20 + z**4\/2 + 3*z**2 + 3*z. Let c be x(f). Solve g = 4*g - c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 677 + -677.00339. What is o rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + 20 + (-5 - 4) - (32 - -8).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(98) + -5 + 2*(sqrt(98) - (-1 + sqrt(98)*-2)**2))*-4.\nAnswer: 196*sqrt(2) + 3164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/3 + 2464*q**3\/3 + 921272*q**2\/3 + 94981760*q\/3 + 62099376 = 0.\nAnswer: -2034, -214, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*w + 72, 1013*w = 1018*w + 38*o - 565 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (2 - (-2 - -7)). Let r be (-4 + -1 + 3)*x. Let v be r*(10\/(-4))\/5. Let w(y) = -y**2 - 5*y. Let f(u) = -u. What is v*w(z) + 5*f(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/89, -0.4, 225\/7, 5.\nAnswer: -0.4, 10\/89, 5, 225\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (684\/(-624) + (-12)\/78)*-9*20\/9450\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497 - 543 = -12*b. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-2)\/o*o**(-1\/8))**(20\/11) assuming o is positive.\nAnswer: o**(-5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 4*f. Let g = -4 - f. List the prime factors of 2\/(3\/g - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28269386*0.04\nAnswer: -1130775.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 0 - 3*s + 1 + 3*s. Let n be p(-4). Suppose n*v - 572 = 618. What is the greatest common factor of 34 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m**4 - 2*m**4 + 5*m**4)*(-2 + 1 + 2 + (1 - 3 - 7)*(-1 + 0 + 2)) in the form u*m + t*m**4 + b + q*m**2 + a*m**3 and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) -1\/3 (c) 29.646 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 17*z + 38. Let s be v(-19). Suppose 5*j - 21*j = s. Solve j = -3*w + 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22007 is divided by 3652.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -846, -1365, -1944, -2583, -3282, -4041?\nAnswer: -4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 88\/(-1100)*45127\/(-2) - 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6738 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/135*25*4\/((-8)\/3)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3809 - 1009384\/265. Is 1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w**(-3\/5))\/w*w))\/(w*(w**22*w)\/w)*(((w\/(w**1*w))\/w)\/w)\/((w**18\/w)\/w) assuming w is positive.\nAnswer: w**(-202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = -2. Suppose f*x = x - 3. Is 53 + (2 - 2)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((3 - -8) + 2)*(6 + -5). Suppose -n + 2 = -3*n, -2*n = 3*p - u. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0*c)**45\/((c*c*c**5\/c*c)\/(c*c**(-2\/9))) assuming c is positive.\nAnswer: c**(754\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgzlgnlglloggnn. Give prob of sequence zg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -31. Calculate the remainder when 55 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - (-88)\/(-138). Does d = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + d = 61, 19*q = 22*q + 2*d - 89. Let x(s) = -4*s**3 - 8*s**2 - 8*s + 4. Calculate the remainder when x(-4) is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000303162 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14327519*f**4 - f**3 + 27404*f**2 + 10*f - 2?\nAnswer: 343860456*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 18*w**3\/7 - 6*w**2 - 22*w\/7.\nAnswer: 2*w*(w - 11)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6532635313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 34. What are the prime factors of p(0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30000 - -3012121?\nAnswer: 2322121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*w + 2*h - 170, 2*w - 4*h = 170. Calculate the smallest common multiple of w and 187.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -314 + 367. Suppose r*v - 57*v = -4796. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-20))\/(2\/(-25)). Suppose 2*o - v = -h, 2*h + 0*o + 3*o = 56. What is the lowest common multiple of h and (-8)\/(-12)*(1 - -20)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.0355.\nAnswer: 2.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 5*y**2 + 2*y - 8. Determine s(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/29 - -52\/145. Suppose -21 = -3*v - 6. Which is the nearest to v? (a) -2\/13 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*y**2 - 13*y**2 - 9*y**3 - 12*y**2 - 12*y**3 to i*y + u + b*y**3 + d*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 512783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(2))\/(sqrt(6) - -1*sqrt(6)*-5) + 5.\nAnswer: -sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 1, o: 2, y: 1, n: 2, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 102. Put 7\/55, -2\/5, u in descending order.\nAnswer: 7\/55, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8*u = 5*u - 186, d + 5*u = 26. What is the highest common factor of d and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -22, 6, 0 in increasing order.\nAnswer: -85, -22, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.1, 2\/13, 2\/9, 1\/4, 1.2009?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 57, 123, 215, 333?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 4*b + 15*b + 465 + 5*b + 3*b as c*b + d and give d.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -236\/10505207 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9624 divided by -5\nAnswer: 9624\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 767*a**4\/2 - 85*a - 75. What is the first derivative of c(s) wrt s?\nAnswer: 4602*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29493 = r + 5*m, 90*r - 87*r - 4*m = 88384. Does 139 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 33 = 39*d - 104. Calculate the least common multiple of 2592 and d.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*i + 3*r, 4329 = -4*i - 6*r + 4313 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/204*51)\/((-3)\/(-65)*1)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 2. Let m be k(3). Let z be 2*(-6 - (-12)\/3). Is z bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403a32 (base 12) to base 6\nAnswer: -33250502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 63 = -41. Let r(w) = -9 + 7*w**2 - 11*w - 14*w + g*w. Is 23 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -12*p + 13*p - 2*q, 0 = -13*p - 3*q + 1832. Calculate the remainder when 4059 is divided by p.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-245 + 250 - 8*1) + 3. Solve c + 0 = 96*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 77 = 5*q + 3*h, -2*q + 17 = -3*h. Let x(t) = -6 - q*t + 5 + 15*t. Determine x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*o - 922*o + 613*o + 31590 = 0 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2 - 5. Suppose -2*k + 3*k = 0. Let c = -2 + 0. Sort c, k, u in ascending order.\nAnswer: u, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 1018, 1792, 3302, 5794, 9514, 14708?\nAnswer: 21622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 300967941 a multiple of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 56, -5 in descending order.\nAnswer: 56, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-462)\/(-408) + (192\/(-102) - -2). What is the second smallest value in -588, 5, 0, f, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 134 = 5*d + 9, 48 = 2*d - 2*w. What is the highest common divisor of 87 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 3*r**2 - 2. Let q(g) = -g**3 + 12*g**2 + 55*g + 49. Let u be q(-2). Let i(p) = -5*p + 5*p + 2*p**3 - 2*p**2 + 3. Calculate u*l(f) - 4*i(f).\nAnswer: 2*f**3 - 7*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08596 + -0.02596. Which is the closest to 3\/5? (a) 19 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of ((-192)\/14 - -18)\/((-1)\/(-756))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 15.9. Let i be 2\/((2\/6)\/((-24)\/(-18))). Which is the closest to 1? (a) j (b) -1\/6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4*n + 16680*m**2*q + m*n*q - 7*m*n - 10*m*q - 17*q - 7 wrt m.\nAnswer: 12*m**2*n + 33360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 + 3*c - 6. What is the units digit of d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j - 7. Calculate d(-10).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100320 - 0?\nAnswer: -100320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1541 - -1608. What is the remainder when 734 is divided by r?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 384 + -356. Solve -4*d - l = -3*q, -4*q = q + 2*d - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*p - 569*p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 1. Let o(i) = -8*i**2 - 6*i + 6. Let y(k) = 6*h(k) + o(k). Let t(u) = 5*u**2 + 121*u - 121*u. Give y(t(g)).\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-7)\/(-28). Solve 3*p - 4*p + 1 = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380896554, 380896553, 380896552?\nAnswer: 380896551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzioozff. What is prob of sequence iofo?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, 1 o, and 1 i when four letters picked without replacement from {u: 2, o: 2, i: 4, j: 1, x: 3, l: 2}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 26. Suppose 4*s + 28 = -4*o, 4*o + 0*s - 4*s = 12. Let g = o + j. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b**(-4))\/b)*b**(-4\/5)*b**(-1\/2)\/(b\/b**3) assuming b is positive.\nAnswer: b**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r - 61*r + 483346*r**3 - 483347*r**3.\nAnswer: -r**3 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-15) - 0)*(0 + 3). Let r(v) = -v**3 - v. Let n(z) = -34*z**3 + z**2 + 22*z. Let u(l) = m*n(l) + 2*r(l). What is the third derivative of u(o) wrt o?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57.61213 millennia?\nAnswer: 5761.213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 161*k**2\/4 - k\/4 = 0?\nAnswer: 0, 1\/161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o = -40*o + 3*l + 8, 3*l + 18 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 177, -2, 2, -31, 9 in descending order.\nAnswer: 177, 9, 2, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30263920 divided by -1513196?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813982?\nAnswer: 2, 181, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnonnjnonjn. What is prob of sequence oj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -8*j + 17*j. Suppose 106 = j*p + 74. Factor 9\/2*n**5 + 0 + 0*n + 0*n**2 - 3\/2*n**p - 3*n**3.\nAnswer: 3*n**3*(n - 1)*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-1)\/((-3)\/6). Let f(w) = 5 + t*w - w - 5. Let g(y) = 6*y. Let c(j) = -17*j. Let h(m) = -3*c(m) - 8*g(m). What is f(h(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)*j*j*j**(3\/5))**(-36)\/((j*j**(-7\/5)*j**(-2\/7))\/(j**0)**(-1\/16)) assuming j is positive.\nAnswer: j**(-33252\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -138*v**2 + 36*v + 65. Let d(a) = -31*a**2 + 9*a + 16. What is 9*d(i) - 2*x(i)?\nAnswer: -3*i**2 + 9*i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 1\/2, -2, -1829932, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/27885789 and 79\/49574736.\nAnswer: 446172624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1594*n + 29868. Determine c(19).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - 114. Let b = 75 + m. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 5 (c) -5 (d) 3\/4 (e) 4 (f) -2 (g) 67776\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168.3211 + 157.012. Let o = -11.3 - u. Round o to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -14 + (4 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -546 - -551. Let a = -6 + 3. What is the third smallest value in p, a, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182135*v**3 - 1949*v + 9 wrt v?\nAnswer: -1092810*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 1}. What is prob of sequence js?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - (-10 + 19))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/35 and -39\/155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3195.00004069 - -3195. What is d rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648044 is divided by 4628?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21756\/140 - 4\/(-30)*-3 is divided by 772\/14 + -15 + (-520)\/(-35)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 0*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - -0.1. Let v = -15.5 + 0.5. Let f = -18 - v. Which is the biggest value? (a) f (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Let h be (11\/(-2))\/((14\/(-24))\/7). Suppose 68*v - 2 = h*v. Which is the nearest to u? (a) v (b) -2\/3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 858*v**4 - 269*v**2 + 974*v**2 + 4*v**3 - 807*v**4 wrt v?\nAnswer: 1224*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136827 is divided by 103.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 256 = -15*t. Suppose 11*i - 7*i - t = 0. Solve d + i = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*11*9\/(-72))\/((-3543)\/(-56688))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1179 < -1180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -9. Let q be -1*3*(4 - 3). Let n be 2\/(1 - (-1)\/q). Solve -5*g - 1 = a, -x*a - n = 2*g - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.11 - -14. Let k = d + 0.01. Which is the closest to 0.1? (a) -2 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(275) + 1 + (-1 + sqrt(275) - sqrt(275)) + sqrt(275))**2.\nAnswer: -20*sqrt(11) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 61 + (-10 - -5) - (1 + 1 - 20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 82\/8 + 2\/(-8). Let g be (t\/3)\/(8\/12). Let x = 8 - g. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 + 213. Let o(k) = -k**2 + 2*k - 3. Let m be o(0). Let q be (5\/3)\/(m\/(-9)). Put -5, q, -4, l in decreasing order.\nAnswer: q, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -143?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 5*w - 28, -7*w + 5*w + 59 - 21 = -0*w + 42 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -55, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -5*a - 64. Let f(r) = -13*r - 271. Is 16 a factor of f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -275*j**2 + j + 0*j + 0*j - 32 + 145*j**2 + 149*j**2. Let h(i) = i. What is h(m(a))?\nAnswer: 19*a**2 + a - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/7907 and -5.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 3\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (3 - -1))*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = o - 2*x, -o + 3*x - 2 = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -20 - (-92 - -40)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(8\/11)\/(j\/((j\/(j*j**(-4\/7)))\/j)) assuming j is positive.\nAnswer: j**(-54\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5))**(-33))**11)**(-5\/11) assuming w is positive.\nAnswer: w**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2016*d + 58476. Give s(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 10101?\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 14665.\nAnswer: 39\/14665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000408 to six decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 + 2*v**2 + v - 2. Let a be k(-1). What is the remainder when 87 is divided by (((-230)\/(-25))\/(-2) - -3)*a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let p be (-29*1)\/((-2)\/n). Suppose 0 = -4*c + p + 39. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8865 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101101110110100 (base 2) to base 12.\nAnswer: -90498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 21 + 13)*(10*f + 9*f - 7*f)*(64 - 31*f**2 - 64) in the form u*f**2 + h + l*f + b*f**3 and give b.\nAnswer: -1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/4, -2\/9, -1, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19986 is divided by 1007.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 19, -16, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bddb when four letters picked without replacement from ddbbdb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecczzzzexc. What is prob of picking 1 z and 1 c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 + 307 = 5*m - 5*a, 8 = 2*a. Let z = -37 - -67. Calculate the remainder when m is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 18*z\/5 - 96\/5.\nAnswer: 3*(z + 2)*(5*z - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(-2*v + 2*v - v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.364 and 8002.\nAnswer: 2912.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7299683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -380408.28 to the nearest 1000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933538719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -6, 5, -11 in decreasing order.\nAnswer: 8, 5, 0, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 87*s**2 - 42*s**2 + 4*s**2 - 4*s**3 + s**3 + 54*s**2 in the form w*s**2 + t*s**3 + j + n*s and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q + 55*q + 5*r - 16 = 0, 4*r = 2*q + 10 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*r - r**2 + 2*r**2 + 197*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6 and -115\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h**2 - 2*h. Let o be f(-1). Let v = 9 - o. Let m(u) = 2*u + 1. Give m(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 164, 225, 342, 527, 792, 1149, 1610, 2187?\n\"Answer: 2*a**3 + 16*a**2 - a + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/11))\/w*w**16 assuming w is positive.\nAnswer: w**(177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -153*o - 1252. Give f(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170402329 a multiple of 6393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 22*z**2 - 31*z + 8. Let b be c(-20). Let o = b + 445. What are the prime factors of o?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -7519\/337?\nAnswer: -7519\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161059 + 161047 = -2*z + 4*u, 0 = 3*z + 2*u + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-13))\/(3063\/3063).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*m + 5*u, m - 3*u + 5 = -9*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*j + 713*j + 142*f = -695, -20 = 4*j + 3*f - 39 - 26 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(320) + 5 - -4*(sqrt(320) + 0).\nAnswer: 5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 7. Let b be m(-5). Let q(p) = 3*p**2 + 2*p - 2. What is q(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**3 - 3 + i + 0*i + 15*i**3 + 5. Calculate z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 4*o**2 + 3*o + 15. Let f(b) = -9*b**2 - 83*b - 82. Let m be f(-8). What is q(m)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-120)*(-8)\/(16\/30).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 + 15 - 480)*(-3 + 5 - 3)*((3 + 3 - 5)*(2*g + 2*g**2 - 2*g) + 0*g + 0*g + 2*g**2) + 3*g**2 - 2*g**2 + 0*g**2.\nAnswer: 2605*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1817.03 rounded to the nearest integer?\nAnswer: -1817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {g: 2, h: 4, d: 6, i: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74984 is divided by 5322.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*q**2 - 214*q**2 + 116*q**2.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 205 = 3*d, -d - 164 = p - 5*p. Find the common denominator of 1\/3 - p\/33 and 30\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/18)\/((-8)\/36). Solve -4*v + 30 = -i*f, 2*v = 3*f + 2*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 + 60. Let q = -60 - i. Put -2\/15, -5, 1, q in decreasing order.\nAnswer: q, 1, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/2 (c) -2.603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 17*x - 27. Let s be i(15). Suppose -s*f + 2*f - 2*w + 6 = 0, 2*w = 2. Solve u - 2*z - 13 = 0, z = 4*u + f*z + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 5*s + 4. Let d be m(-2). Let f be d\/8 - 30\/(-40). Let y(z) = f + z - z + 1 - z. What is y(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-16) + (-1407)\/(-72) + -18. What is the nearest to 0.1 in 5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -z, -11 = -2*l + 5*z + 25. Let q(m) = -m**2 + 8*m - 11. Calculate q(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 12*u**2 - 13*u - 19. Let v be y(-11). Let p be 4 + 4 + -2 + -1. Which is the second smallest value? (a) p (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396647 + -48724305\nAnswer: -48327658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2918 + 177.7082. Put -1, z, 0.2 in ascending order.\nAnswer: -1, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r - 31 = 0. Suppose -r*c + 25*c = -1098. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1140 = 424*i - 310*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5981 + 239191\/40. Calculate the common denominator of i and 7\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5538*l**3*w + 5*l*w**3 - 1014*w**3 - w**2 - w wrt l.\nAnswer: 16614*l**2*w + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (sqrt(432) - (sqrt(432) + -1)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -640140 (base 8) to base 4.\nAnswer: -310001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 5:55 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/24 + p**3\/6 + 2*p**2. Let k be s(1). Let g = 0 - k. Solve -5*n + 0*n - 5 = g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raaa when four letters picked without replacement from rraaaraaaaaarrraraa?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -74015, -80833, -87651?\n\"Answer: -6818*o - 67197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 15 - 14) + 40 + -8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:48 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 13d4e?\nAnswer: -13d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)*w)**(-19)\/(w**0\/(w\/(w**(1\/3)\/w*w))) assuming w is positive.\nAnswer: w**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(175))**2 - sqrt(7))*6.\nAnswer: -6*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + w - 1. Let q(i) = 14*i**2 + 3*i + 8. Let l be ((-1)\/(-3))\/((-1)\/(-5 - -8)). Let y(r) = l*q(r) + 3*u(r). Differentiate y(h) with respect to h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533755040 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*(-140)\/(-30)*29\/203?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 138127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1977012.999 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -739, -723, -709, -703, -711, -739, -793?\n\"Answer: -c**3 + 5*c**2 + 8*c - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*n - 20 = -4*a, -2*a = 4*n - 10. Let c = -284 + 11646\/41. Put a, c, 4 in descending order.\nAnswer: a, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2, -9*n + 14*q + 226 = 19*q. Solve -2*o = -4, 5*o - 1 = -3*l + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = -4*g, -2*g - 3 = -2*s + 9. Suppose -k - m + 7 = -3*k, s*m = 4. Let a be 1 - (-12)\/(k\/(-1)). Let d(r) = -r + 4. What is d(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 a when four letters picked without replacement from xzzqzakkzkzakkzlqk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p + 185. Let q be k(-13). Solve -1 + q = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + u + 4. Let d be a(-2). Let h be d\/4 - (1 - (4 - 1)). Let t = 0.04 - 4.04. What is the nearest to -2\/5 in t, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 1 j when three letters picked without replacement from {l: 5, j: 3, g: 7, m: 3, f: 1}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 t, and 1 d when four letters picked without replacement from jddsxxtvsxsdj?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -5, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 11*c**3 + 17*c**2\/2 + 16*c. Is g(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646310 is divided by 64631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 28.\nAnswer: 23\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 170920309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (4 - (-7 + 5 + -6 + 3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4474, -8804, -13084, -17290, -21398, -25384, -29224, -32894?\n\"Answer: 4*f**3 + f**2 - 4361*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899338 = 3*m + 4*d, 299761 = m + d + 4*d. Let l = 454786 - m. Suppose 13*y = 8*y + l. Round y to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1229*q + 2519 - 2519 - 1351*q + 3808*q - 1222*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -6)\/1 + -2. What is the smallest value in -1\/2, 0.1, -2\/25, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 take away 0.086?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/(8\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42580.77 millennia to centuries.\nAnswer: 425807.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 37. Let a = x + -30. Let v = 61 - a. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 128*d + 178. Let a be z(-5). Let c = -462 - a. Solve i + 13 - 9 = c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -8. Suppose 2*l - 110 = m*l. Calculate the remainder when 95 is divided by (-1089)\/l*4\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -7, 2, -1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 + (-10 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**5\/60 + l**4\/4 - l**3\/2 + 1441*l**2 + l. Let y be 2\/11 + 42\/11. Calculate s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36292, -36316, -36352, -36400, -36460, -36532?\nAnswer: -36616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.99 - 0.01. Let a = -331.5 + 332. What is the third smallest value in y, -5, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*y - 1017*y**3 - 10 + 36*y + 376*y**3 + 24*y to the form f + o*y + x*y**2 + s*y**3 and give s.\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*u - 23*u - 18*u to the form z + s*u and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:29 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 4*z + 7*z - z**2. Let t(l) = l**2 + 2*l - 2. Let q(d) = 21 - 17 - 14*d**2 - 20*d + 18. Let r(o) = 2*q(o) + 22*t(o). Calculate r(a) - 5*u(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2592*z**5\/17 + 3312*z**4\/17 + 626*z**3\/17 - 114*z**2\/17 - 18*z\/17 + 2\/17 = 0.\nAnswer: -1, -1\/4, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/23660 and -49\/2325.\nAnswer: 11001900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -20. Suppose -3*h + n*h + 24 = 0. Let x = h - -20. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -1623*g**2\/2 - 4453*g + 1805. Differentiate a(f) with respect to f.\nAnswer: -1623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:41 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**2 + 6*k**2 + 7*k**2 - 52 + 367 - 3*k**2 to the form y*k + i*k**2 + n and give n.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Put f, -0.5, 1 in descending order.\nAnswer: f, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.068, 9, 831\/11?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275695 is divided by 92.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + -4 + 1*((-1 + sqrt(325))**2 + sqrt(325)))*-5.\nAnswer: -1600 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22683708 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 11365.\nAnswer: -8\/11365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Suppose -i + 1 = 2*q, -6*i + u*i + q = -3. Let t be ((-5)\/40)\/(i\/(-1)). What is the third smallest value in -2\/5, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554017749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.5 (c) -2\/11 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 5, 4\/31, -2, -0.646?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssosooaaaoaaaurur. What is prob of picking 2 o?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84545258660356 + 84545258726664.592081173. Let c = l - 65925.5920806. Let f = -383 + c. Round f to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/4)\/1)\/((-4)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270881508?\nAnswer: 2, 3, 59, 382601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95700 = 39*v - 391*v + 78804 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 6*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2\/2 + d + 2. Let w be q(5). Is 124\/w*3\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4321494454.\nAnswer: 2, 271, 7973237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 - -58. Let v be -4*(-3)\/9*l. Is (179\/(-5))\/(v\/(-25) - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*s + 256*s - 28152. Calculate the highest common divisor of s and 72174.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 12) to base 7\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27226, -54389, -81556, -108727?\nAnswer: -135902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(5\/(60\/(-12)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 354.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107898*l + 107880*l = 414 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 57. Suppose 4*d - u = 1. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, -11, 2, 10 in decreasing order.\nAnswer: 10, 5, 2, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 16*c**2 + 856*c + 8. Calculate the remainder when y(-54) is divided by 107.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1. Let q be 1 + 8 + -4 - 5. Let k(y) = 21*y + q + 4 - 16*y - 3. What is c(i) + k(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/3 - -1\/12. Which is the third biggest value? (a) -1\/2 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.26 (b) 8.7 (c) -2\/5 (d) 1\/3 (e) -2\/3 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4874 or -4876?\nAnswer: -4876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -2. Let z = -265.8 + 201. Let n = z + s. What is n rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2*r**3 + 4*r - 2. Let n(m) = -12*m - 9*m - 13*m + 56*m - 13*m - 7*m. Calculate d(n(c)).\nAnswer: -24*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o*o\/o**(-1\/3)*o*o**(-2\/5)*o**(-4))\/((o**(-6)*o\/(o\/o**1))\/(o**0*o**(1\/11))) assuming o is positive.\nAnswer: o**(499\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 3. Let i(y) = 14*y**2 + y + 10. Let k(t) = 3*h(t) + i(t). Let d(q) = 16*q**2 + q + 1. Calculate 5*d(f) - 7*k(f).\nAnswer: 3*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72511504, 72511502, 72511498, 72511492, 72511484?\n\"Answer: -y**2 + y + 72511504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-5)\/((-30)\/(-4)). Suppose 4*b - 12*s - 10568 = -7*s, -7933 = -3*b + k*s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i*z**2 + 13*i*z + z**2 - 3*z wrt z?\nAnswer: -20*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let o(n) be the third derivative of 7*n**4\/24 + n**3\/2 - 8*n**2. Suppose 8 = m + 3*a, -2*m - m + 4*a - 15 = 0. What is m*o(f) + 5*i(f)?\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 7:39 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46051523?\nAnswer: 7, 31, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -395*p**9\/126 - p**5\/10 - 31*p**3\/6 + 2*p**2 - 6. What is the third derivative of y(b) wrt b?\nAnswer: -189600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -16599.\nAnswer: -2\/16599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 176794316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 80 = -3*k - 2*k, 5*k = 2*p - 18. Suppose -p = -2*j + 4. Suppose 25 + 75 = 4*q. Solve -3*b - 3*u = 12, 0 = -4*b + j*u - 4*u - q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -2*i - 3*s - 20, -12 = -3*s. Sort 2, -4, i in descending order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17735521 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 233713*z - 30132336 = 0. What is z?\nAnswer: 129, 233584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 1, -2, -1, 223 in descending order.\nAnswer: 223, 1, -1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1397, 5573, 12525, 22247, 34733?\nAnswer: 49977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2\/7 (b) 1\/3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.5803294 + 24026.9169706. Let p = -24065 + r. Let o = p - 2.5. Round o to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06439 - -0.00439. What is the nearest to 0 in x, -0.4, -27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -45, -51, -57, -63, -69?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - 11883*x + 5932*x + 5949*x - 2*x**2 + 152 + 5*x**4 + 3*x**3 in the form m*x + a*x**3 + k*x**2 + y*x**4 + p and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -102*a**2 - 4*a + 35. Let n(r) = 512*r**2 + 20*r - 168. Calculate 5*n(i) + 24*o(i).\nAnswer: 112*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -10110.\nAnswer: 17\/10110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let a(z) = -z**2 - z - 1. Let h(o) = -3*o - 3. Let c(j) = -6*j**2. Let s be c(1). Let k(q) = s*a(q) + 2*h(q). Determine k(i(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19455250 to the nearest 100000.\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let a = -8.1 - -7.16. Let j = a - 0.06. What is the closest to j in 0.3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84668378, -169336762, -254005146?\nAnswer: -338673530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 88*c**2 - 181*c - 126*c + 306*c)*(c + 4*c - 4*c).\nAnswer: -88*c**3 - c**2 + 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + -4)) + (0 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 93577.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1907*f + 10. Let t = 249 + -248. What are the prime factors of d(t)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 182133, 364282, 546431?\n\"Answer: 182149*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2818, -6963, -11104, -15241, -19374?\n\"Answer: 2*q**2 - 4151*q + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 6*f**2 - 5*f - 3. Let y be d(7). What is the greatest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 3. Let m(x) be the third derivative of -7\/24*x**4 - 7\/6*x**3 + 2*x**2 + 0 + 0*x. Calculate -5*k(w) + 2*m(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 11*s - 3*s + (-3 + 8 - 1)*(s + 0*s - 3*s) - 2 - 3*s + 2 in the form x + l*s and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*w - 16173 + 15322 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-12376)\/(-78))\/(-34))\/((-3)\/((-27)\/2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110100 (base 2) in base 9?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5798)\/8697)\/((4\/15)\/2)*(-10)\/(-9725)?\nAnswer: -2\/389","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*x - 5 + x**2 - 174*x + 0.\nAnswer: x**2 + 579*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2. Let w(q) be the second derivative of q**6\/360 + q**4\/12 - 3*q. Let l(i) be the third derivative of w(i). Give h(l(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 20*z**2 + 41*z + 11. Let g be o(-17). Let q = 409 - g. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, 0.3, -0.6?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let y(l) be the first derivative of 136*l**2 - 1864. Give y(z(t)).\nAnswer: -272*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.31 - 4.69. What is the closest to d in -14\/9, -0.3, 2?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49501421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42482873, 42482874, 42482875, 42482876?\nAnswer: 42482877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(1584) + 5 - (sqrt(1584)*-1 + -3)*6)**2*-6.\nAnswer: -611712 - 27648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -34*j + 30*j. Solve -j*w = -3 - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times -6.4?\nAnswer: 307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131324*b**3 + 4*b**2 - 81*b - 1464 wrt b.\nAnswer: -787944*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.1 - -47.37. Let v = l - -0.73. Sort 0, 2\/23, v in ascending order.\nAnswer: 0, 2\/23, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-8 + 11 - (-9 + 21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -11437?\nAnswer: -11430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, 15, -4, 157, -1 in increasing order.\nAnswer: -14, -4, -1, 3, 15, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**5\/15 + 3*b**2\/2 + 4. Let i(x) be the second derivative of a(x). Let f(o) = -o**2. Determine i(f(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59088 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**3*d)**(-4\/11)\/(d**(-8)*(d*d**(-2\/9))\/d*d) assuming d is positive.\nAnswer: d**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:16 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622097502.\nAnswer: 2, 3, 13, 29, 37, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13) + -10*(-228)\/24960?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 2*d. Let y(m) = 50*m**2 - 35*m. Let l(p) = 105*v(p) - 6*y(p). Let s(r) = -r. Give s(l(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538381 or 538383?\nAnswer: 538383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - k - 1. Let v = -655 - -657. Let d(r) = -4*r**3 + 4*r**2 - 13*r - 280. Let q(o) = v*z(o) + d(o). What is the first derivative of q(n) wrt n?\nAnswer: -12*n**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*y = -0*y - 945. Calculate the greatest common divisor of y and 4905.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 3.3. Let g = a - 0. What is the second smallest value in 0.2, g, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14852*p + 2 - 2 - 14859*p + 29712*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905896267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**6\/180 + f**5\/60 - f**3\/2 - 2*f. Let k(u) be the second derivative of w(u). What is the second derivative of k(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 - x**4\/6 - x**3\/6 - 43*x**2. Let k be s(-3). Let n be (3\/6)\/(2\/4). Sort k, -19, n in decreasing order.\nAnswer: k, n, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 1192?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79213705 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*c - 175*c - 5*n - 25, -n = -2*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/12 - 38*j**2. Let i(m) = -m. Let o(x) = 32*x - 18*x - 12*x. Let w(h) = -3*i(h) - 4*o(h). Calculate w(r(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 4*t**3 - 242556438*t**2 - 1077 + 1077 + 242556438*t**2 + 3*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810724 divided by 3.\nAnswer: -810724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 5*m - 8. Let p(n) = -5*n**2 + 19*n + 33. Let y(j) = 2*p(j) + 9*z(j). Let d be y(-6). Solve 3*w = 4*k - 12, 0*k - k + 3 = d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfvooovfvvvfov. Give prob of sequence fr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19442 + 226?\nAnswer: 19668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 96 = -0*u + 13*k + 9*k - 26*k, 0 = -2*k - 0*k + 46 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 8*z - 12. Let t be n(-4). Solve 3*v = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 5 = m. Suppose -m*b + 18*b = -5. Let i(s) = -2*s + 1. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 1512.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -11\/30*f**5 - 2*f**2 + 0*f**4 + 0 + 0*f**3 - 33*f. Let w(g) = 3*g**2. What is o(w(x))?\nAnswer: -198*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1815038 rounded to 1 dp?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 87013 times -1.5\nAnswer: -130519.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 19. Let q be s(-10). Let n be 0*q\/(4 - 1). Suppose l - h - 60 = n, 2*h - 152 = -3*l - 2*h. What is the greatest common factor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6759\/12016*(-30)\/27\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10589604 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*g - 19288 = 927*g + 559*g - 2278 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/9367 - 37282\/871131. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 18 = -246. Let n be (-22)\/b - (-20)\/3. Let c(a) = -a**3 + 5*a**2 + 4*a + 12. Let l be c(n). Solve s = -3*k - 12, s = -l*s - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from grgvvvvppcvmr?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = 3*q, -3*t - t + 13 = 3*q. Put -7, 4, t, 2 in ascending order.\nAnswer: -7, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1121, 1112, 1103?\n\"Answer: -9*z + 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 9}. Give prob of picking 3 t and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (247 - -28)\/(-25) - 15*(-2)\/(-22)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((((u*u\/((u\/u**(-2)*u)\/u))\/u)\/u)\/u))\/u*u**(-3\/8))\/(u\/(u\/(u**(-6)\/u)*u)*u**(-1)\/u))**(-46) assuming u is positive.\nAnswer: u**(-2507\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*s + 32, 2*s - 26 = 645*g - 654*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -220, -500, -882, -1360, -1928, -2580?\n\"Answer: k**3 - 60*k**2 + k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153113\/151 - 1014. Let o = c - 895\/1661. Let j be (-70)\/50 - 1\/(-10)*4. Are j and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i + 4*i - 2*i)*(323*i - 59*i - 62*i) + (-2*i - 2*i**2 + 2*i)*(-2 + 1 + 3) - i**2 + 4*i**2 + 0*i**2 to u*i + k*i**2 + q and give k.\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + (sqrt(98)*-2 + -2)**2.\nAnswer: 63*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*k + 1115 = 7*w, -4*k = -20. Calculate the greatest common factor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i + 4*m, m = -0*i + 5*i - 14. Let j(r) = 6*r - 2*r - 3*r + 4*r. Let y(o) = -14*o. Calculate i*y(z) + 8*j(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -348007589459 minus 47?\nAnswer: -348007589506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iakklpaiy. Give prob of picking 1 a and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111018 + -1.\nAnswer: 111017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2484*u**2 + 2532*u**2 - u**4 + 20*u - 148*u = 0 for u.\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 616?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 0*v - 55126 + 0*v + 110228 - 55102.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 1}. Give prob of sequence yx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 9*d**2 + 11*d + 23. Suppose -20 = -2*x - 0*x - 4*c, 5*x - 50 = -5*c. Does 11 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from uppppuppppuupp?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + (-5 - -1))*-1 + 353. Let n = p - 78. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -77\/4. Let j = -6.9 + 0.9. Let w = j - -6.4. Which is the closest to t? (a) -0.5 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 3, -3\/5018101?\nAnswer: -3\/5018101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88354.03 litres?\nAnswer: 88354030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177286*-219.\nAnswer: 38825634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*l = -316*l - 670 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 18*r**4\/7 + 68*r**3\/7 - 46*r**2 - 1012*r\/7 + 240\/7 = 0.\nAnswer: -5, -3, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -36. Solve -d + 0*d + 2 = -3*p, 0 = 5*d + f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - 51346?\nAnswer: -51378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 1 - 1 + (-6 + 2 + 2)*(-x - 2*x + 0*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-21 - -6) + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:09 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, w: 5}. What is prob of sequence xwx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -1. Find the third derivative of -2*q**2 - 2*q**2 + 5*q**w - q**3 - 5*q**3 wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 978 divided by -20\nAnswer: -489\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**2 - 8*x**2 - 52*x**2 in the form v*x**2 + k*x + j and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051735 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24433325 (base 6) to base 12.\nAnswer: -318845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468)\/((sqrt(480)\/sqrt(8))\/sqrt(5)))\/(sqrt(243) + (5*4*sqrt(243) - sqrt(243)) + sqrt(243) + sqrt(243)).\nAnswer: -2*sqrt(13)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41239 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.203 to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667932770?\nAnswer: 2, 3, 5, 7, 7942537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -24*v - 22*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165005707 rounded to the nearest one hundred thousand?\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -240431, -240439, -240449, -240461, -240475?\n\"Answer: -m**2 - 5*m - 240425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Let p(v) = 3*v - h - 9*v - v**2 + 2*v**2. Let k be p(6). Let l(b) = -b**2 - 5*b - 6. Calculate l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.1 + -44115.\nAnswer: -44057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r + 2624 - 3500 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -0.4, 7, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*c**10*(c**(-6)*c)\/(c*c**7) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-81)\/12)*(-117)\/(-2418). Let d be (618\/(-837))\/(10\/(-3)). Let g = c + d. What is the nearest to 0 in 1\/6, g, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -430262\/9 or -47807?\nAnswer: -430262\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -372, -573, -954, -1575, -2496?\nAnswer: -3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-27) - 22\/18. Calculate the remainder when 39 is divided by (-1 - 1) + 22 - m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102544 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 254166.\nAnswer: 254165.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from vjjjmjjjjjjjsjj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/26 + (-900)\/(-117).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 8. Let k(v) = -2*v**3 - 13*v**2 - 6*v + 2. Let y be k(-6). Let b be u(y). Solve q + 6 = -3*x, b*x + 3*q + 11 = -0*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6)*(-48)\/36. Let m be -2 + 3\/w + 1 + 2. Let d(x) = 2*x - 3. Let f be d(3). Which is the closest to -0.1? (a) 1 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let k be x(10). Suppose -3*s - k = 2*s. What is the tens digit of 1 - (s - 6\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:17 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*(-144)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36240, 72490, 108740, 144990, 181240?\nAnswer: 217490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 104275 - 4?\nAnswer: 104271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 544811089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64ba - 4?\nAnswer: -64be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -18*o - 53. Let h(w) = 7*w - 62. Let d be h(8). What is the remainder when c(d) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/39 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/(-505)*-18)\/((-5)\/(300\/8))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039643 rounded to 4 decimal places?\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/11 - 1416886*x**4\/11 - 2833762*x**3\/11 + 1416886*x**2\/11 + 2833764*x\/11 = 0.\nAnswer: -708441, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five quarters of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1646, 6549, 14718, 26153, 40854, 58821?\n\"Answer: 1633*t**2 + 4*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 779?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 4, o: 4, l: 5, p: 1, d: 4}. What is prob of sequence opd?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7)*d\/((d**6*d)\/d)*(d\/d**(-16))\/(d\/(d\/(d\/(d\/((d*(d\/d**(1\/26))\/d)\/d))))*d))**45 assuming d is positive.\nAnswer: d**(96255\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7) + (-243)\/(-63). Let x be 7 - 3 - d\/(-4). Suppose 6 = -4*y - 6. Sort x, 16, y in descending order.\nAnswer: 16, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f + 1. Suppose -2*d + 7 = 1. Suppose -2*g = -d*g - 6. Let y be n(g). Solve 3*h = -4*o - y, -3*h = -8*h - 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*m*z**2 - 3*m + 45*z**2 wrt m.\nAnswer: 30*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4)*f**(-4\/9))**(-7)\/((f**1*f)**(20\/13)\/(f*(f*f*f\/(f*f*f**0*f))\/f)**1) assuming f is positive.\nAnswer: f**(-4091\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*i**3 + 41*i**3 - 113*i**3 + 63*i**2 + 99*i**2 + 36*i**3 + 2*i to the form p*i**2 + b*i**3 + m + f*i and give p.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -10*r + 83. Find the third derivative of 27*p - 44*p + 79*p**2 - 121*p**3 + r*p wrt p.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/152*5)\/((-44)\/((-2904)\/(-165))).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 3*g**2 + 5*g - 5. Let t be n(4). Let z be (t - 19)*2\/4. Let q(a) = -4*a - 6. Is 10 a factor of q(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*s = -1, 3 - 12 = -2*i + 5*s. Suppose n + l + 29 = 26, -5*n + 4*l + 30 = 0. Solve 0 = -3*r + 2*h - n, 0*r - i*h + 2 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -731*f**3*o**2 - 2656*f**3 with respect to o.\nAnswer: -1462*f**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.52 from 551.5.\nAnswer: 570.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3061910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 849436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2043*x - 2 - 3 + 2046*x. Let v(m) = -2*m + 2. Determine 3*c(t) + 5*v(t).\nAnswer: -t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 - 83. What are the prime factors of f?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 10. Let o be q(-8). Suppose -o*v + v = -3. Find the third derivative of v*g**5 - 4*g**5 - g**2 + 2*g**5 - 4*g**5 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-1\/9))*a\/(a*a**(-2\/3)\/a*a))\/(a**(-3\/2)\/a)**(4\/11) assuming a is positive.\nAnswer: a**(145\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, 72, 283, 674, 1305, 2236, 3527?\n\"Answer: 10*d**3 + 21*d - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**2\/2 - 2. Let m(g) be the first derivative of 0*g + 0*g**2 - 8 + 2\/3*g**3. Calculate m(s(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8\/3)\/(x*x**2) assuming x is positive.\nAnswer: x**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37.58785 from 46076.\nAnswer: 46113.58785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (7 - (4 - ((31 - 13) + (0 - 11))))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -23 (b) 4\/3 (c) -4 (d) 0.06 (e) -0.4 (f) 0.03 (g) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/210 + o**4\/21 - 4*o**3\/21 - 2*o**2. Factor t(s).\nAnswer: -2*(s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f + 26*f**2 - 29*f**2 - 17*f**2.\nAnswer: -4*f*(5*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuqq when four letters picked without replacement from uuqqqquuqqqququuuu.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2 - -4*(-110)\/80.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boxxzxzobobz. Give prob of sequence bx.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -237, -479, -711, -927, -1121, -1287, -1419, -1511?\n\"Answer: n**3 - n**2 - 246*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3676 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*m = -187*m. Let f(w) be the first derivative of 1\/6*w**3 + 1\/16*w**4 + 8 + 0*w**2 + m*w. Suppose f(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36b5 - 171?\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03966555 to 5 dps.\nAnswer: -0.03967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -67 - (-35)\/(-65)*13. Let c = -158 + 82. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 26*t**2 - 16*t + 17. Let l(d) = 9*d**2 - 5*d + 6. Let v(x) = -17*l(x) + 6*q(x). Let m be v(7). What is the tens digit of 3948\/m + 4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from {l: 3, b: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 460*a**3*q**3*t + a**3*q**2*t - 5*a**3*q**2 - 37*a*q**3*t + 99*a*t wrt q.\nAnswer: 2760*a**3*t - 222*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*s - 18 = 422*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -10.7 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-1\/41)*p*p)*p**(-23\/2) assuming p is positive.\nAnswer: p**(-1105\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + -3 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(112) + sqrt(7))*3.\nAnswer: -60 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70\/9 + 629\/72. Calculate the common denominator of 49\/234 and i.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*u - 138, 0*r - 5*r = 3*u - 136. Suppose -24 = -5*s - 4. Suppose 0 = 3*v + 5*c - 15 - u, 3*v - 56 = -s*c. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 83*i - 73. Let d be u(67). Calculate the greatest common factor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.4 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -4, 25, 1\/12 in descending order.\nAnswer: 25, 1\/12, -0.22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 6, x: 4, t: 2, e: 2}. Give prob of picking 1 i and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111022211012 (base 3) in base 15?\nAnswer: -8b2452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17027289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184360 divided by 440?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -149, -466, -779, -1088, -1393, -1694, -1991?\n\"Answer: 2*c**2 - 323*c + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.3. Let s = 103 - 106. Which is the nearest to -2? (a) 2\/5 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 295 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = 3*c + 7, 2*w - 10 = 4*c. Let z = 0 + 0.2. Let t = z - 0.3. Do c and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7098\/845)\/(910\/100)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 13*h + 13. Let w be o(-12). Let c = 14 + w. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i**2 + 9*i + 12. Let a(t) = -t**2 + t + 1. Let y(w) = a(w) + s(w). What is the tens digit of y(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317253 is divided by 79191?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 4. Suppose 0 = -5*i + 9 + r. Suppose -i*n + 56 = 2*n. Solve -6 = -5*u + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -23*h**3 - 6*h**2 + 561. Let n(i) = -42*i**3 - 11*i**2 + 1121. What is -11*l(k) + 6*n(k)?\nAnswer: k**3 + 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21859, -43716, -65573, -87430, -109287?\n\"Answer: -21857*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkh when three letters picked without replacement from {h: 1, m: 1, x: 2, p: 3, k: 4, q: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 5 + 2)*(-5*d + 4*d + 3*d) - 3 - d + 3 + 15*d - 17*d - 7*d + (4*d + 4*d + 1 - 5*d)*(1 + 6 + 1))*(-2 + 0 + 3) as n + y*d and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14524 + 14538. Calculate the greatest common factor of 10066 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/84)\/(2 - 28\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2462959226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1714.9 to the nearest 10.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -17*o - 5*q + 25, 12 = 3*q. Let s(v) be the second derivative of -1\/2*v**2 + 3\/20*v**o + 1\/6*v**4 + 0*v**3 + 0 + 4*v. Determine s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -311*h**3 - 5905*h**2 + 80*h + 70. Give m(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.9 * 0.024.\nAnswer: -0.3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13 = -2*z, -4*s + 5*z = s + 25. Let j be (-3)\/9*(-4)\/(-6). Which is the closest to -2? (a) j (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -t - 5, -3*t + 12 - 2 = 2*z. Let d be (-2)\/(-4)*t\/(-1). Suppose -2*h + 56 + 56 = d. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 4*h - 34. Let s(t) = -t**2 - 2. Let z(i) = b(i) - 6*s(i). What is the derivative of z(l) wrt l?\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 146, 201, 292, 419, 582?\n\"Answer: 18*v**2 + v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:57 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-3)\/48 + 0. Let w = 34\/11 + -215\/66. Which is the nearest to i? (a) 1 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 743\/217 + -115\/31. Suppose q = 2*q. Which is the closest to q? (a) v (b) -2 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 31*h**2 - 52*h + 16. Let g(d) = 2*d**2 + 2*d - 2. Determine -f(l) - 9*g(l).\nAnswer: -49*l**2 + 34*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-25))\/(30\/(-1050))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccfhfhhhfcffhchfffhh?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 + (-2 - -1). Let f(y) be the third derivative of -y**4\/12 + 19*y**3\/6 + 2*y**2. Let l be f(8). Solve -12 = 3*h, 3*s + 0*h + l*h + 3 = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3 + -6 + -12. Let h be (-4)\/(-2) - (-48)\/v. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4239 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from yfyfffjyyjyj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2756 divided by 33716.\nAnswer: -689\/8429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022222000210 (base 3) to base 4.\nAnswer: -10232210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Suppose -t - 3 = -z. Let x(r) = 5*r - t + 3*r - r**2 - 4*r. Calculate x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 22?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7226367*n + 16 = 7226383*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -7*w**4\/4 + 2*w**3\/3 - 8. Determine j, given that h(j) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 15 = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:54 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4. Let t(j) = -j. Let h(v) = 3*a(v) + 5*t(v). Calculate h(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(i**2 + 4 - 4) + 2*i**2 - 4*i + 4*i + (-4*i - 14*i + 30*i)*(-i - 2*i + i))*(4 + 2*i**2 + 4*i**2 - 2*i + i**2).\nAnswer: -147*i**4 + 42*i**3 - 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + y - 27, -13*s + 12*s + 9 = y for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s + 3 = b, 4*b + 5*s - 87 = 0. Let d be 48\/(-5) - 2\/5. Let p = b + d. Calculate the remainder when 14 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*(-30)\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233164*-0.0896.\nAnswer: 20891.4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2 + t - 4*t + 15. Let i(u) = u - 6. Let l be (1 - -2)*(-4)\/(-3). Calculate l*k(s) + 11*i(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1970*v - 14. Let b(h) = -656*h + 4. Give -7*b(n) - 2*l(n).\nAnswer: 652*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r + r**2 - 21*r - 11 - 18*r + 60*r. Let p(o) = -o**2 - 3*o + 12. What is -3*j(t) - 2*p(t)?\nAnswer: -t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 16, 11, 8, 7, 8?\n\"Answer: l**2 - 10*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**4 + 3*z**2 - 7. Let a(j) = j**4 - j**2. Let f(c) = -6*a(c) - 2*q(c). Differentiate f(g) wrt g.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -30, -27, -22, -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m. Let a be b(5). Suppose 3*y - 10 = 4*l, -2*y + l - 5 = -a*y. Suppose 2*g - 131 = y*f - 7*f, -3*f - 144 = -3*g. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12246 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 5. Let h be d(-5). Let g be -20*(h - (-14)\/8). Let x = g - -114. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493012 take away 6007.5?\nAnswer: -1499019.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -710319680 divided by 8?\nAnswer: -88789960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 5, -2\/9, 0.049, 0.1, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from hxbxbqbhoqbqbhb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10846)\/(-5236)*(-98)\/7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 42 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*y + 28, 2*y - 4 = 6*y - 4*m. Let r be ((-2)\/y)\/((-3)\/138) - 4. Suppose 2*x - r = 11. Calculate the greatest common divisor of x and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213204 is divided by 131.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 4*z**2 + 2*z - 2. Let c = 4 + 9. Suppose 5*y - c = -3*b - 6, y = -4*b + 15. What is g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i - 2. Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 7. Let i be n(-9). Let z be -2 + 1 - (-2 - i). Suppose 48 = 30*l - 12. Solve p + z = -l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 3. Let u = 411877 - 411871. Let m(n) = -4*n**3 - 3*n**2 - 2. Let h(r) = -r**3 - r**2. Let x(a) = 3*h(a) - m(a). What is u*x(s) + 4*d(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p + 24. Let n(j) = 12*j + 56. Let w(b) = -7*g(b) + 3*n(b). Let c(q) be the third derivative of q**5\/5 + q**2. What is c(w(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.9 + 14. Let k = 1.1 - o. Let j = -1 + 0. Which is the nearest to j? (a) k (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/560 + 3347\/68880. Let k = 202\/1353 + h. Let r = -1415\/9 + 157. Which is the third smallest value? (a) k (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51170 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 0, -1, -2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -349 + 338. Let k be (-25)\/3 - (-4)\/(-6). Is k bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i + 23 + 19\/2*i**2 + 0*i**3 - 1\/6*i**4. Let l(o) be the second derivative of m(o). Let t(k) = -10*k. Determine l(t(y)).\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13236 + 25402. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493045901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 806 + -802.94. Let i = j + -3.06. Let q = 2 + -2.1. What is the nearest to q in -2, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 3*t - 2. Let h be r(-3). Let v be (-2 - h\/(-4))*10. What is the smallest value in -0.3, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242193263 to the nearest integer?\nAnswer: 15563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 5, 1 in increasing order.\nAnswer: -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oxxooxoxxxx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 356746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9596087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:57 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19746.\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, -1.9, 2\/7, -67?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46053 and 106253.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + 4135066?\nAnswer: 4135020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f. Let s be 40 + ((-10)\/(-8) - (-2)\/(-8)). Let k(y) = -s*y + 80*y - 2*y**2 - 39*y. Determine k(u(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/7 + -2. Sort 5, h, 0 in increasing order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (240\/(-4))\/(((-175)\/40)\/35). Solve j = -6*z + 426 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = -22. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 divided by 6?\nAnswer: 364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 + 3*m**2 - 147*m wrt m.\nAnswer: 12*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**2 + 0*z**2 - 4*z**3 - 10*z**2 + 14*z**3 wrt z?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8684\/501 - 3*(3 + 23\/(-9)). Solve -88*i - 288 = -b*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4*x + 3. Suppose -5 = 5*y, 8*y = -s + 4*y. Let p be n(s). Suppose f = p*f - 18. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 127 + 32. Let b = y - -18. What is the units digit of (b - 2)*(-4)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {a: 7, h: 6, p: 4}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 5. Suppose -5*b + m = -4. Let p(a) = 3*a**2. What is the remainder when b is divided by p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4722 and 107551420.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -64.\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -167*r**6\/30 + r**4\/12 + 357*r**2\/2 + 150*r. What is the derivative of o(q) wrt q?\nAnswer: -668*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let z(w) = 5*w - 1. Calculate 7*v(o) + 2*z(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-4)\/(2\/1). Let j(o) be the second derivative of -o**3\/3 + 2*o**2 - 197*o - 3. What is j(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56604 and 13884?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.81, 0.1, 12, -0.2, 336 in increasing order.\nAnswer: -0.2, -1\/6, 0.1, 0.81, 12, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 4*n. What is the nearest to n in -1\/5, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 3*b + 3*b)*(-2 - 2 + 2)*(-2 + 3 + 2)*(3 + 3 - 5) to the form t + a*b and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 519659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - 1 - (-11 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*p - 146*p + 105*p - 115*p - 143*p - 146*p.\nAnswer: -371*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19643255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(10 - 7 + 10) + 1 + 2 - 2)*(2 - 4*p + 3*p - 3).\nAnswer: 12*p + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*c - 2 + 0 = 0, 4*c - 8 = 0. Solve 14 = 2*u - x + 6*x, -n*u = -3*x + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 5*l - 6. Let y be b(7). Let w = y + -14. Let m(a) = -a**2 - 8*a - 5. What are the prime factors of m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 85 = 5*s, 4*w + 5*s + 49 = 144. Suppose 5 = -2*d + i + 10, 2*d = 4*i + 8. Suppose 0*f - w = -d*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -0.4 (c) -11.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/40 and 137\/636.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11283 + -5310. Let z = h + -4214. Let r = z + -1039. Round r to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 36. Let j be n(17). Let t(v) = 16*v**2 + 11 - j*v + 32*v - 17*v. Is t(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*n**3*v + 1736059*n**3 + 23*n**2*v + 3*n**2 + 1162*n*v + 72*v + 1 wrt n.\nAnswer: -768*v + 10416354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -52441000 to the nearest 100000.\nAnswer: -52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i + 0*i**4 - 1\/105*i**7 - 1\/168*i**8 + 1\/12*i**6 + 0*i**3 - 3*i**2 - 1\/10*i**5 + 0. Factor l(c).\nAnswer: -2*c**2*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -103. Let p be ((-40)\/u)\/((-2)\/285). Suppose -7*r + p = -2*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 99.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 175\/(-28). Let b(g) = -g**3 + 5*g**2 + 6*g + 3. Give b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -10. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {q: 1, v: 1, s: 2, j: 2, b: 1, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -3*n - 30, n - 24 = -t. Suppose 0*b = -4*b + 5*d + 49, 2*b - t = 3*d. Differentiate -b*g**4 + 160*g**2 - 160*g**2 + 7 with respect to g.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5202356221?\nAnswer: 659, 2579, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 9 + (-2 - 18) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170898 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 9:05 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnnnuum. What is prob of picking 1 m and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8.3. Let u = -3.2 - -2.94. Let l = 0.06 + u. Put -1, l, r in decreasing order.\nAnswer: l, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c - i, 3*c + 6 = -5*i. Let k(o) = -o**2 + 2*o - 1. Let v be k(1). What is the remainder when 20 is divided by v\/(-1*c) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 2*r + 3*r + (-4*r - 2*r + 2*r)*(1 + 0 + 0).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/36 + (-3)\/72*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51.25 + -1.25. Let b = p + -55.8. Let k = 6 + b. What is the third smallest value in -2\/7, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*k - 2*v - 6 = 0, -3*k + v = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 + 7*a - 4. Let n = 17 + -12. Suppose -3*g + 5*m = -33, 2*m - 86 = -15*g + 10*g. What is the lowest common multiple of g and s(n)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2939 minus -15921?\nAnswer: 15920.7061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 + 13*i**3\/6 + i**2. Let m be g(9). Let y = 12 - 6. Calculate the greatest common factor of y and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Let g = 110 + -320\/3. Factor -g*j**c - 2\/3*j + 2\/3 - 2*j**3.\nAnswer: -2*(j + 1)**2*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-12)\/(-4) + -2. Suppose 0 = r*q - 3*b - 567, -3*b + 0*b = 15. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.183202 to 4 decimal places.\nAnswer: -0.1832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/30 + m**3\/6 + 13*m**2. Let o be p(1). Let l be (1*4)\/(o\/15). Solve -3*g + f + 16 = -0*g, 0 = -3*f - l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9923 is divided by ((2 - -1) + -2)*28*(-1)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*f - 246*f + 1701 + 346 + 177 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 347, 7, -14, 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**4 - 739*s**3 + 1581*s**2 - 969*s + 121.\nAnswer: (s - 121)*(s - 1)**2*(6*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2\/5, -0.3, -12, -3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-5 - (sqrt(153) - (sqrt(153) - 5*1*sqrt(153))))\/(sqrt(108)\/(1*sqrt(12)*-5)).\nAnswer: 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-3\/10)*d\/(d\/d**(-3\/2))*d)\/(d**8\/(d*d**(2\/5)\/d))*(d*(d\/(d\/((d*d**(-5))\/d*d*d)))\/d*d**(2\/9))\/(d**(-1\/3)*d*d**8) assuming d is positive.\nAnswer: d**(-776\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13143355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-600)\/(-252)))\/(-3)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 1282140\nAnswer: -7692840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f - 7. Let r be n(-3). Suppose 5*z + 5 = -2*h - 24, 0 = -r*h + 2*z - 22. Is -12 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 15, -4\/5, 0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*w**3 + 200*w**3 - 368*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.41942 rounded to two decimal places?\nAnswer: -5.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 - s + 2*s**2 - 12*s**2 + 6*s**2 + s**3 + 5*s**2. Calculate w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/3 + 190*r**4\/3 + 818*r**3 - 53846*r**2\/3 - 688844*r\/3 - 210912 = 0. What is r?\nAnswer: -13, -1, 18, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13102512 to the power of 1\/2, to the nearest integer?\nAnswer: 3620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**6\/360 + 7*c**5\/120 - c**4\/6 - 5*c**3\/3 - 3. Let g(a) be the third derivative of f(a). Calculate g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-18) - 0) + (-2547 - -2547)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -101*c**2 + 1\/12*c**4 + 0*c**3 + 0*c + 1\/240*c**5 + 0. Factor w(t).\nAnswer: t*(t + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543832787?\nAnswer: 3, 7, 73515847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2421a3 - 25?\nAnswer: -242218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -23. Let a be (-504)\/60 - 4\/q. Let c = a - -67. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -71\/3 (c) 4\/3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554638*r**2 - 22*r**3 + 554638*r**2.\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 111*i**3 - 294*i**2 - 408*i = 0.\nAnswer: -1, 0, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3766581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -115382897 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37056\/30880*1\/(4\/150)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8801169 and -5.\nAnswer: 4.4005845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 + 10*v**2 + 3*v. Let x(y) = 2*y**3 + 7*y**2 + 2*y. Suppose 0 = 2*k - k - 47. Let o = k - 12. Suppose o = -5*h + 10. Calculate h*b(l) + 7*x(l).\nAnswer: -l**3 - l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-6)\/(-8)*-4*(-80)\/(-36). Solve 0 = 5*i - 25, -5 = 5*r + 16*i - u*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 2*l + 0*l)*(3*l**3 - l**4 - 3*l**3)*(-4 + 4 + 1).\nAnswer: 2*l**5 + 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.577 + -1.477. Sort -0.5, s, -3, -6\/7 in descending order.\nAnswer: s, -0.5, -6\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**5\/20 + s**4\/4 - s**3\/3 + s**2 + s. Let y = 2 - 5. Let f = y - -5. Calculate x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2071 plus -1799.206366?\nAnswer: -1798.999266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15136 divided by 44.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2612 + 2617. Solve -z - 27 = x*c - 2, -4*z + 5 = -c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, 3, 181, -20, 11 in decreasing order.\nAnswer: 181, 11, 5, 3, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.46524 in -1\/3, -6\/31, -1\/4?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186941504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -691a6?\nAnswer: 69198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*2)\/(sqrt(9) - (sqrt(405) + sqrt(45))\/sqrt(5) - sqrt(9)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377.7462 kilometers to micrometers.\nAnswer: 377746200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -720752 or -720751?\nAnswer: -720752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12321 - 2?\nAnswer: -12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o. Let a be (o + -1)\/((-7)\/21). Let i = 164 - 147. Solve 5 - i = a*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -13\nAnswer: 51\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:44 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 211?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:16 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-2367)\/2160*-8 - (-7)\/5)\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/3 - 2827984*v\/3 + 999686688032\/3 = 0.\nAnswer: 706996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*v + 7089 = -255, -4*x = 3*v + 5869. Let b = 190117\/22 + -8640. Calculate the common denominator of x\/320 - (-6)\/(-10) and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 466 (base 13) to base 11\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28436, 28394, 28352, 28310, 28268?\n\"Answer: -42*v + 28478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9709835450 + 3*t - t + 9709835428.\nAnswer: 2*t - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 729, 1140, 1585, 2076, 2625?\nAnswer: 3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1695 > -1702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1281 + -1284. Let g = -0.3 + 0.4. Is g smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(1900) - sqrt(1900)))**2 + sqrt(1900) + 4.\nAnswer: 10*sqrt(19) + 190004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*x**2 + 0 + 5\/3*x.\nAnswer: 5*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 6*h. Let i(a) = 6*a**2 - 7*a. Give -7*b(g) - 6*i(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3 + 2*n**2 + 3. Let o(b) = b + 12 - 2 - 10. Determine o(f(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 11*s**2 + 8*s + 12. Let i(d) = -d**3 + 12*d**2 + 7*d + 12. Let t(a) = -3*i(a) + 4*o(a). Is t(9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 544*m + 386*m + 6*m to x*m + a and give x.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339579178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29185 is divided by 301.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 10, 41, 92, 169, 278, 425, 616?\n\"Answer: k**3 + k**2 + 7*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3288 in 5, 127, -1\/3?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 479856601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 1. Let v(m) = -3*m**2 + 1. Calculate -4*o(a) + 5*v(a).\nAnswer: -7*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 513*r**2 - 371?\nAnswer: 1026*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -78*u**2 + u - 2. Let a be o(2). Let d = -1422 - -10012\/7. What is the common denominator of d and (a\/(-30))\/(3\/(-5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 24*h + 2*x - 24 = 0, -h - 26*x + 188 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 7) + -2 + 11. Let w(t) = -25*t + k - 6 - 7 + 27*t + 0. Give w(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29 (b) 2\/5 (c) 1 (d) -0.09 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11350 = -3*b, -5*k - 1606 - 2200 = -b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*p + 125*p - 148 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025917451?\nAnswer: 13, 78916727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, q: 1}. Give prob of picking 1 h and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -216749.\nAnswer: 2384239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 29*x + 37. Let r be y(28). Let q = -4 + 7. Suppose 6*h - r = q. Solve 5*v - 1 = h*n, 4*v = -3*n - 6 - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45762725.\nAnswer: 5, 17, 29, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*s + 394*s - 263 = -2111 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjqqqjfjjjjqjjjdjf. What is prob of sequence qq?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*y + 2*x, 78 - 67 = -5*y - x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 543, 546, 551, 558, 567, 578, 591?\n\"Answer: r**2 + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48203652.3064 plus 32?\nAnswer: -48203620.3064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(-8)*m)\/m))\/m**1*(m\/m**(-1))**(-28))**(-10) assuming m is positive.\nAnswer: m**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*(sqrt(90) + sqrt(10)))\/(sqrt(8)\/(sqrt(4) + sqrt(256))) + -4)*4.\nAnswer: -96 + 1728*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/21 + 6*r\/7 + 44\/21.\nAnswer: -2*(r - 11)*(r + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(6\/(-94)))\/1. Let s = -427 + 356. Let y = x - s. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + -3.1. Let n(h) = h**2 - 3*h + 4. Let i be n(3). What is the third biggest value in g, 3, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**2 + 252*u - 572.\nAnswer: -4*(u - 13)*(4*u - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/40 - 20\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11016 and 5508.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*o - 39734 = -33111 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 43*y**2 + 2*y**3 + 15*y**2 - 4*y**3 + 44*y**2 - 9 in the form x + c*y**2 + r*y**3 + s*y and give c.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(405)*-1)**2 - (sqrt(405) - (sqrt(405) + -4 + sqrt(405))**2*1)*4.\nAnswer: -468*sqrt(5) + 7386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 15*o**3 - 3*o**2 - 15*o + 24. Let l(r) = 8*r**3 - 2*r**2 - 7*r + 11. Give 13*l(z) - 6*q(z).\nAnswer: 14*z**3 - 8*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 60, 63, 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n = -5*d - 39*n + 51, -15 = -3*d - n. Factor 0 - 1\/9*v**d + 2\/9*v + 1\/9*v**2.\nAnswer: -v*(v - 2)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.1, 6, -1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - q + 91, -2*j - 89 = 3*j + q. What is the least common multiple of 1 - -14*(-2)\/(-4) and (20\/6)\/((-3)\/j)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 5 + d**2 + 9*d**4 - 11 to w + s*d**3 + h*d**4 + l*d**2 + i*d and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 751*i**3 + 6*i**2 - 46*i + 143. List the prime factors of s(3).\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27676 divided by 2516?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1055)\/34 - (-1739)\/59126?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 13. Suppose 3 = -c - 2, 0 = -5*q + c + 50. What is the lowest common multiple of x(-6) and 15\/q*9\/3?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7 = 8*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.25 + -5.4. Is b at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 1:23 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 6*l**3 + 19*l**2 + 0 - 2*l**3 + l**3 - 6 - 19*l - 27*l**2 = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 2*z**2 + 3*z - 20. Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -5, 2\/15, 2\/3, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = -4*b - 4, -2*f + 4 = 0. Suppose 8 = u + b*m, -3*u + m = -m + 8. Is -2\/3 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26806*u**3 + 381*u**2 - 3*u - 3 wrt u.\nAnswer: -160836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365*i**6 + 898*i**2 wrt i.\nAnswer: 43800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -107 (b) -1\/194 (c) 5\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Let n(w) be the first derivative of 1\/5*w**5 + 0*w + 1\/2*w**4 + 1\/3*w**3 + k + 0*w**2. Determine f so that n(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-5) + (-1 + 48\/(-4) - (-59 + 43))?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/12 + 4*l**3\/3 - 4*l**2 - 1593*l. Give p(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.90724 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m - w, -w = -2*w + 5. Let h(d) be the first derivative of 0*d**m + 0*d - 1\/3*d**3 + 9. Let q(c) = c. Determine h(q(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*c + 113*c - 12 + 72 = -6*j, 50 = -5*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 66, 70, 74?\n\"Answer: 4*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008651949 rounded to four dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -749130 or -749132?\nAnswer: -749132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 20680*m + 124133. What is s(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 21*z - 22. Let j be v(-6). Let p = 2.98 + 0.02. Let f = p - 7. Which is the closest to j? (a) f (b) 1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g + 4. Give k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*c + 8*c + 1020. Suppose 5*x = 3*m - c, -4*m - 3*x = 3*x - 2. Solve -2 = m*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**8\/50400 + p**7\/3150 + p**6\/150 + 23*p**5\/30 - 41*p**2. Let g(c) be the third derivative of d(c). Factor g(y).\nAnswer: -2*(y - 6)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**4\/4 - 5*w**2\/2 + 5*w - 28. Let h(c) = -4*c**3 + 6*c - 6. What is -5*h(b) - 6*s(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 5. Suppose 0 = 4*s + s - 3*y - 17, 0 = -3*y + 3. Suppose -733 + 725 = -s*j. Give u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**4 - 2*y**4 + 4*y**3 - 6*y**3 + (180 - 180 - y - 25*y**2)*(y**2 + 0*y**2 + y**2) in the form m*y**3 + b*y + k*y**2 + o*y**4 + n and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21280349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l. Let p(z) = z. Let k(w) = 5*w. Let s(v) = -k(v) + 4*p(v). Calculate -6*d(c) + 26*s(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 487353*h. Let n(w) = -1601*w. Determine n(k(o)).\nAnswer: -780252153*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1240 at least 1\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 128. What is the lowest common multiple of 16 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2090, 2088, 2086?\n\"Answer: -2*q + 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26689*b**2 + 29149*b?\nAnswer: -53378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3252 divided by 813.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*c + 2*c**2 + 11*c + 2*c + 6*c.\nAnswer: 2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/6 (b) 1\/4 (c) -65 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/600 + 4\/10. Which is the closest to 0.2? (a) h (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4440\/1036)\/(20\/70)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(832) + 3)**2 + -3 + -4 + -2 + sqrt(832) + (sqrt(832) - sqrt(832)*4*-4)**2.\nAnswer: 248*sqrt(13) + 261248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 3)*(4*m**3 + 5*m**3 - 5*m**3 + 0 + 2*m**3 + 0 - 1 + 2*m**3 + 1 + (2 - 2*m**2 - 2)*(2*m - 5*m + m) + 0*m**2 + 0*m**2 + m**3).\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.66614km?\nAnswer: 2666.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10963 - -11896. Calculate the greatest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-4*sqrt(50)) + 0)**2.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0 + 0)*(5 - 3 + 12)*(-3 - 3 + 5)*(31*n**2 - 37*n**2 - 2 - 1).\nAnswer: 168*n**3 + 84*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/25746 and 143\/84.\nAnswer: 51492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-492)*(-570)\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-27) + -4)\/(28\/210). Sort 0, x, 15 in ascending order.\nAnswer: x, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i. Suppose i = -2*r + 5*x + 553, 0*r + 2*x = 5*r - 1330. Let l = r + -144. Calculate the greatest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 20. Let n = -27 + 51. Are c and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Let b be (-18)\/6*(-1)\/l. Suppose -3*s + 7 - b = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - i + 16 = 0, 5*i = -372*m + 377*m - 100. Solve 2*j = 5*j + m for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 72, 122, 172, 222, 272?\n\"Answer: 50*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 7\/2*g**2 + 9*g + 0 - 1\/6*g**4 + 0*g**3. Differentiate m(q) with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012 + -20122?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3*d**2\/2 - 80*d - 127. Let f be o(-28). Solve j = -j - f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(162) - (-1*sqrt(162) - sqrt(162)))**2 + sqrt(162).\nAnswer: 9*sqrt(2) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 48 = 2*a - 0*n, 0 = -5*a + 2*n + 104. Let s(r) = -r**2 + 34*r - 15. Is s(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 2 d when four letters picked without replacement from {o: 2, c: 5, d: 2, l: 1, s: 8}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -99022 minus 4?\nAnswer: -99026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 7*y + 780. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 39*r**2 - 21*r + 118. What is the hundreds digit of v(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-25))\/(7\/(-40)*(-106)\/371).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010031931 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5456850*g**5 + 3*g**3 - 2*g**2 - 5*g - 35558553 wrt g?\nAnswer: 109137000*g**3 + 18*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 97.57246 millennia?\nAnswer: 97572.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69)\/(-36) - (-6)\/(-9). Let u = 0.01 - -1.99. Which is the nearest to 1? (a) x (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 430750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -4384, 2.\nAnswer: -4384, 2\/27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 + -1010001?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v + 12. Let h(j) = -17*j + 128. Let p be h(7). Is s(p) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29209455 by -5841891.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -65. Let c(a) = -2*a**3 - a + 1. Give c(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/14625 and 53\/700375?\nAnswer: 6303375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2693951 is divided by 2169?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*z - 369*z = 445. Let k = z + 154. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25282927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -5, 12569 in ascending order.\nAnswer: -5, 0, 12, 12569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 - 111*l**3 + 343*l**2 + 111*l - 342 = 0.\nAnswer: -114, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 819.6463 millilitres?\nAnswer: 0.8196463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -717*m - 16487. Calculate j(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*p - 20 = -270*p. Solve -4*i + p = 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 - 11*r**2 - 20*r**2 - 2*r.\nAnswer: -39*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3\/5 (c) -36397091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ea2 + -8?\nAnswer: 6e99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -5*o + 3*u, -4*o + 3*u + 25 = -5*o. Let y = o - -97\/5. Is y equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: a3526 (base 13) to base 3\nAnswer: 112220000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/126*-2 + 180\/(-35))*(-79)\/5?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1102 - 406?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5535 divided by -41\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + g + 105 = 128, 0*r + 2*g = 2*r + 4*g - 4 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (6 - 6) + 2 - (-49 - (-35 - -25)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 32*l + 30*l - 86*l + 26*l + 4*k, -47 = -6*l - k for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*v**2 + 3*j**2*v - 62*j**2 + 17*v wrt v.\nAnswer: 2*j**2*v + 3*j**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)*l)\/(l*(l**(1\/7)*l)\/l))**(-50)*(l**(-1\/4)\/(l\/((l*l*l**(1\/2)\/l)\/l)))\/(l**(2\/11)*l**7) assuming l is positive.\nAnswer: l**(92157\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197841*u**4 - 427628*u**2 wrt u.\nAnswer: -4748184*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 13) to base 14\nAnswer: -d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + 31 - -14) + -39.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 2. Let s(v) be the first derivative of -v**3\/3 - v**2 + 2*v - 3. Let i be s(-3). Let a(r) = r - 1. Calculate i*d(j) + 2*a(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m**6 + 4*m**5 - 4*m**4 + 71*m**2 + 4. Let r(w) = -w**5 + w**4 + w**2 - 1. Let o(x) = j(x) + 4*r(x). Find the third derivative of o(n) wrt n.\nAnswer: 1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/20*84\/(-70).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/(-6))\/(4\/(-12)). Let t = -9 - a. Suppose -2*r + 0*r - t*s = -28, -56 = -4*r - 3*s. What is the remainder when 53 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 14. Let i(w) = 2*w - 14. Let c(o) = 2*i(o) - 3*l(o). Let p be c(-11). Let g be (-155)\/(-25) - 1\/5. Solve -p*n = -n + g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 39*j**2 + 190*j - 806. Determine h(34).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (2\/8 - (-583)\/132). Suppose 0*h + 0 - 2\/3*h**3 + 2\/3*h**2 - 2\/3*h**4 + j*h**5 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*j - 4940 = 212*j. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -27*w + 648. Solve 3*t - w = -o, 4*t + 0*o - 4*o - 8 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1 - 4*g**3 + 0*g + 0*g**2 + 0*g + g**2. Does 4 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 15 = 0. Suppose 2*f - 47 = 9. Let l be 6\/(-21) - (-148)\/f. Solve l*j + q*z + 81 = 31, 3*j + 40 = -5*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707 take away -5382.9713?\nAnswer: 2675.9713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.74 + 4.64. Let j = -6 - -5. What is the closest to j in o, 0.4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*h*i**3*l**2 - 2*h*i**2*l - 2*h*i**2 - 23*h*l**2 wrt i.\nAnswer: 1386*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1959 = -167*w - 2421 + 1040 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661185675 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.9 - 4. Let a = 3 - c. Let d = -3 + 1. Sort a, d, -3\/4 in increasing order.\nAnswer: d, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*j**2\/15 + 64*j\/15 - 8\/5.\nAnswer: 2*(j + 2)*(19*j - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3459 + -1758. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8302*u = -29*t - 8307*u + 126, -t = 3*u - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002446 to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3423 - -24416. Let s be p\/17 - 90\/(-765). What is the greatest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 55. Let k = 654 - 646. Let z(o) = 5*o - 26*o + k*o + 8*o. What is z(y(w))?\nAnswer: 5*w - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -601, -1505, -2361, -3157, -3881?\n\"Answer: 2*o**3 + 12*o**2 - 954*o + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4 + 2*k**3 - 12*k**2 - 18*k + 27 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*(-153)\/2. Let h = x + 52. Let z be (-4)\/(-18)*(2 - 4). Is h smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1847834156 - 0.6\nAnswer: -1847834156.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-6)\/5*-5 + 1. Let m be (-4 + 52\/q)*32\/20. Find the third derivative of -7*i**2 + 6*i**6 - m*i**6 - i**2 + 28*i**6 wrt i.\nAnswer: 3600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 10*o + 11. Let j be c(1). Suppose 0 = -4*y + 2*z + 1404, j = 3*y - 11*z + 8*z - 1047. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3 (c) 2\/77 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -10, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 89976625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhhddhghggddzhdd. Give prob of sequence gz.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f. Let g be i(-10). Let v = 94 - g. Suppose q = v*s - 713, -s - 4*q + 157 = -0*q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35\/2 (b) -46 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/10 - 16*c**4\/3 - 4*c**3\/3 + 128*c**2 - 35*c - 3. Factor g(u).\nAnswer: 2*(u - 32)*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3711 (base 11) to base 9\nAnswer: 6581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10862534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -1\/15*g**5 + 1\/6*g**4 + 3*g + 5 + 0*g**3 - 1\/3*g**2. Let t(a) be the first derivative of m(a). Factor t(j).\nAnswer: -2*(j - 1)**2*(2*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*s + 44. Suppose 36*j = 78*j - 798. Let b = s - j. Sort 4, 2, 3, b in descending order.\nAnswer: 4, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h - 52. Let f be v(-8). Suppose 14 = f*b - 26. Solve y + w = -b, -2*w = w - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2432429 by 2432429.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s + 0*s - 2*s**4 + 200*s**3 - 209*s**3 - 10*s**2 = 0?\nAnswer: -3, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*y + 456 = -7964, y = 3. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3239151.15 to the nearest ten thousand.\nAnswer: 3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.4, 17, -124, -3, 4 in descending order.\nAnswer: 17, 6, 4, 0.4, -3, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122041735 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 3*r - 5*f, -2*f = 3*r + f + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*b**2 - 301*b**4 + 398*b**4 - 35*b**2 - b + 3*b**5 wrt b?\nAnswer: 180*b**2 + 2328*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h + 4. Let p(k) = -4*k + 3. Give p(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27382 + -4?\nAnswer: 27378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-28)\/(-30))*84\/(-72)*6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2\/2 - 11*i + 5. Let u be g(6). What is the least common multiple of 10 and (2 + -4)\/(u - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891058, 1782157, 2673300, 3564487, 4455718?\nAnswer: 5346993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*c - 22. Suppose 4*z + 3*x - 20 = 0, 3*z + c*x = x + 15. Suppose -z*a + o + 67 = -301, 3*o - 210 = -3*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, r: 2, e: 3, a: 7}. What is prob of picking 1 a and 2 r?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 426127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8)**(-41) assuming c is positive.\nAnswer: c**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 16, 13, 10, 7?\n\"Answer: -3*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:33 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28187562 (base 9) in base 3?\nAnswer: 222012221122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (12 - 6) - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 19*i**6\/3 + i**3\/6 + 223*i**2\/2 + 2*i + 118. Differentiate w(a) wrt a.\nAnswer: 760*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffiffiinf.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483719288 and 36816.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 + 626. What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*((4*sqrt(1088)*1)**2 + sqrt(1088)) + 1*2*sqrt(1088) + -5).\nAnswer: 160*sqrt(17) + 522265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -161, -241, -323, -407, -493?\n\"Answer: -q**2 - 77*q - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -548*h**3 - 21*h - 31. Let w(t) = 1097*t**3 + 37*t + 61. Let f(m) = 11*s(m) + 6*w(m). Find the second derivative of f(g) wrt g.\nAnswer: 3324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let q(c) = c - 5. Calculate q(u) + 3*y(u).\nAnswer: u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 891505101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 13. Let m be h(-9). Suppose 0 = m*d + 1 - 17. Solve -12 = -d*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 11*v**2 + 11*v - 5. Let c be u(10). Suppose -c*f - 29 + 4 = 0. What are the prime factors of (-1)\/1 - (f - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/15)\/8)\/(4\/(-30))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -12 - (15 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 108.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let m = 2.47 - 3.47. Which is the smallest value? (a) -1\/6 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 8*b**2 + 10*b - 5. Suppose -4*u - 767 = -803. Calculate j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y**(-7)\/y*(y**(2\/7)\/y)**(-34) assuming y is positive.\nAnswer: y**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.016653ug to grams.\nAnswer: 0.000008016653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxvrx. Give prob of sequence vx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(90)\/sqrt(5))**2 + sqrt(96)\/sqrt(3)) + 4 + -2)*-1.\nAnswer: -56 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**2 + 179443250*d - 370427906 wrt d.\nAnswer: -6*d + 179443250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 144487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.0925 - -0.0925. Put -2, 1\/2, 0.2, w in decreasing order.\nAnswer: 1\/2, 0.2, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3*p - 624 = 0. Let u = p - -241. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lln when three letters picked without replacement from {v: 2, l: 1, n: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/18 - (-28 - -4)\/(3\/(-6))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6475 = 3*j + 6493, -26 = -3*p + j for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133\/2 - -66. Sort t, -1\/7, 0.2, -2 in increasing order.\nAnswer: -2, t, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 1503940?\nAnswer: -1503923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1437792, 2875652, 4313512?\nAnswer: 5751372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -931 - -1444. Suppose -n*j - 558 = -519*j. Does 58 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 45171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*l + 140*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 6}. Give prob of sequence ndd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 2\/9 (b) 3 (c) -1.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9. Suppose p = 6*c - 3*c - 69. Suppose -3*x + 226 + c = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3*(-3)\/(-18). Which is the closest to 1\/3? (a) 5 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*m - 3*c, 2*m - 2*c - 1 = 11. Let p = 16 - -5. What is the greatest common divisor of m and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -26. Let z(g) = -5*g. Is 10 a factor of z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 - 3311740*d + 6623500 = 0. What is d?\nAnswer: -662350, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 92 + 38 = 0. Is 2 a factor of x\/14 + 890\/14 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 8585.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*y**4 - 8*y**2 - 5672*y wrt y.\nAnswer: -3012*y**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-48 - -144 - 123).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 382587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 170017174 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -3 - 33) + 17 + 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 3*j + 1. Let a be p(-2). Let c = a - -26. Suppose 30 = -c*q + 4*y, q = -5*y - 15 - 20. Is -10 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -5*l. Suppose -4*r + l*p = 7*p, 5*r = 5*p + 45. Suppose 226 = r*k + 2*s, -49 = -2*k + 3*s + 30. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 q when three letters picked without replacement from {o: 2, e: 4, q: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-4\/15)\/w)**(2\/105))**6)**(1\/29) assuming w is positive.\nAnswer: w**(-16\/15225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 15 = -3*u, 5*u + 246*g = 241*g + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1100?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 965*i**3*s**2 + 2*i**3*s*v + 208*i**3*v - 852*i**2*s**2*v**2 - 251*i**2*v + i*s*v**2 - i*v**2 - s*v**2 wrt s?\nAnswer: 1930*i**3 - 1704*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 793978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(156)\/(sqrt(3) - -5*sqrt(3)))\/(sqrt(32)\/sqrt(512)) + -3 + -2.\nAnswer: -5 + 20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 + 5*y**4\/12 - 3*y**3\/2 - 3*y**2 + 14*y. Let o(j) = 9*j - 87. Let l be o(9). Give w(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(-1*sqrt(297) - sqrt(297)))\/(sqrt(6)\/(1*sqrt(2)) + sqrt(3) - (2*sqrt(27) + sqrt(3))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Let x = 2 - j. Which is the closest to x? (a) -3 (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770305 plus -475.097356?\nAnswer: 769829.902644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3) - -2) + (-42)\/28. Suppose -8*m = -13*m + 15. Suppose 0*g + v = -g + 3, -g + m*v - 9 = 0. Is u greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 526 + -503.9. Let f = 21 - t. Let v = 1 + f. Which is smaller: v or -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 96*h + 3737. Give a(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98466, -98469, -98472, -98475?\n\"Answer: -3*f - 98463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 24.09696kg?\nAnswer: 24096.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 68*o**2 - 71*o + 47. Suppose 7*l - 253 = -8. Let d be n(l). What is the highest common factor of 348 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 741976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/11 + 1030\/(-385)*(-147)\/798\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -44 (c) 1.4 (d) -0.024 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -827, -2786, -6599, -12884, -22259?\nAnswer: -35342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Let j(f) = -f**2 + 8*f - 6. What is the remainder when j(5) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 105*l**2 + 23*l**2 + 3.\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153423 - 22449. Let i = 1969907\/15 - q. Let k = i + -353. Which is the closest to -1? (a) -0.3 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/24, 1, -3, 22 in increasing order.\nAnswer: -3, -1\/5, 1\/24, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -14. Suppose -3*v - 58 = -v. Let b = v - -53. What is the greatest common divisor of b and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let o = 6 - k. Suppose o*s + 35 = 5*y, 4*y - 3*y - 5*s = 3. What is the least common multiple of 4 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1152 and 131\/162135360.\nAnswer: 324270720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*h)*(-1 + 1 + 7*h) - 3*h + 3*h + 3*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/3 (c) 10 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1763 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5043*r**2 + r**4 + 89 - 5043*r**2 + (-3*r**4 - 3*r**4 + 7*r**4)*(9 - 8 + 8).\nAnswer: 10*r**4 + 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i**5\/4 - 1191*i**4\/2 + 44517*i**3\/4 + 73569*i**2\/2 - 64236*i + 16920 = 0. Calculate i.\nAnswer: -282, -4, 1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.5067ml in litres?\nAnswer: 0.4245067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(17))**2 - (5 + (sqrt(85)\/sqrt(5))**2))*6 + 0.\nAnswer: -48 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6)*(-3*v - 1 + 1) + (3 - 3 - 1)*(-v - v + v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2)\/(-3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znbnbzbzzsutbt. What is prob of sequence tbtn?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65959150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418170 (base 10) to base 6.\nAnswer: 12543550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1851 and 93.\nAnswer: 57381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1424\/(-100) + (-5490)\/(-22875).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**4 - 11*u**3 + 17*u + 17. Let d(s) = -2*s**4 + 4*s**3 - 6*s - 6. Let v(x) = -17*d(x) - 6*z(x). Factor v(r).\nAnswer: -2*r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = -5. Let b(q) = 2 + 0*q**2 + 1 + 2*q**c + 2*q**3 + 2*q**3. Let i(h) = 21*h**3 + 11*h**2 + 16. Determine 11*b(f) - 2*i(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452 + 3170\/7. Sort -0.3, -3, r in decreasing order.\nAnswer: r, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5690*i**2 + 184356*i - 5121. Let c(k) = -k**2 - 36*k + 1. Let z(b) = 10242*c(b) + 2*l(b). Let j(a) = a**2. What is z(j(q))?\nAnswer: 1138*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34441*p + 68028*p - 34169*p.\nAnswer: -582*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -18 in decreasing order.\nAnswer: 5, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**2*y**2 + 2807*m**2*y - 3*m**2 - 2*m*y + 2*m - 2289*y**2 wrt m.\nAnswer: -4*y**2 + 5614*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4859617*c**3 - 1709596*c**2 wrt c?\nAnswer: 29157702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -0.12, -28798, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/66*640\/276. Let y = 26\/23 - z. Let p = -4 + 3. Which is the smallest value? (a) y (b) p (c) -4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 4*j**2 - 4*j - 4.\nAnswer: 4*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x - 3*x + 2*x + (2*x - 3 + 3)*(-1 + 0 + 2) + (-3*x + 2 - 2)*(4 - 2 - 1) - 12*x + 18*x - 5*x + (2 + 2 - 3)*(3 - 3 - 2*x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 896807 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(-7)\/147 - 15\/(-35). Let w(r) = -2*r - 1. Let z be w(1). Which is the fourth smallest value? (a) z (b) -0.1 (c) o (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 - 9.0939.\nAnswer: -9.1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-10)*(-10)\/3. Suppose 0 = 2*y + 4*t + o, -24 = -5*y + 3*t + 18. Calculate the least common multiple of 5 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157812698.811546 less than -1?\nAnswer: -157812699.811546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -5 - 0\/(-9)) + -1. Suppose -2*g + 31 = h*a, -3*a - g - 18 + 44 = 0. Suppose 4*d - 9 - a = 0. Solve 0*n - 2*n = d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*i**4 + 544*i**4 + 185*i**4 + (0*i + 5*i - 4*i)*(0*i**3 + 2*i**3 - 4*i**3) as x*i**3 + w*i**2 + f*i + o*i**4 + h and give o.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 271321 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose 3*v = c*v - 5. Suppose 4*k - v*k + 8 = 0. Solve 2*g - k + 0 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21243 and 657?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8713*x**4 + 8525 wrt x?\nAnswer: -34852*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*v - 5*c - 81, -4*v + 156 = -4*c. Solve v*b - 88 = -53 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 17*i**2 - 1. Let s be o(1). Let g = s - -4. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-19)*y)**(-2\/39)\/(y**0\/y*y**(1\/6)))**(-17) assuming y is positive.\nAnswer: y**(323\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0 - h + 7\/24*h**3 + 1\/16*h**5 + 1\/120*h**6 + 3\/16*h**4 + 1\/4*h**2. Factor b(l).\nAnswer: (l + 1)**3*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 s, and 1 c when four letters picked without replacement from gccssccccc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -28*c**2 - 59\/2*c + 1\/2*c**3 + 57 = 0.\nAnswer: -2, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 1b?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 34 + 18 = -5*p, 2*k + 4 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3139395 by -87.\nAnswer: 36085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5577 and 32955.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3795 divided by 5\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1479 - -112ab?\nAnswer: cb32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsv when three letters picked without replacement from {v: 2, y: 1, s: 2, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*l + 3*t = 131*l - 114, 2*l - 85*t - 2815 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317*r + 1929*r - 40265 = -1517*r + 15089 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-60)*2*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u + 16 = -50. What is the lowest common multiple of 9 and 4\/(12*(-1)\/u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2846160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.7668 and -593 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 5*t**2 - 4*t**3 + 4*t**2 + 2*t**2.\nAnswer: 2*t**3 + 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 355564229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-27))\/(10\/(-30))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**3 - 13*d**2 - 22*d. Does 40 divide z(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5183373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132.0252 - -0.0252. Let o = b + 132. Let i = 1.96 - -0.04. What is the nearest to o in i, -4\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3. Let w(x) = 3*x**3 + 9*x**2 + 11*x - 21. Let d(a) = 2*m(a) + w(a). Let d(j) = 0. What is j?\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2849030 by -34.\nAnswer: 83795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/15 - 54156*j\/5 + 1007686\/3 = 0. What is j?\nAnswer: -81265, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 - 11*r - 5. Let z be x(-10). Suppose z*n = -6 + 16. Suppose 0 = 3*k + n*k - 25. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15*s**2. Let u(b) = 11964*b**2. What is j(u(f))?\nAnswer: -2147059440*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -38, -45, -50, -53, -54, -53?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 - -195. What is the greatest common factor of 322 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - a40?\nAnswer: -a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/15 + 32\/10. Suppose -113 - 1303 = -4*n - 4*p, -v*n + 3*p + 1056 = 0. What are the prime factors of n?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-12320)*-50*(-6)\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 - 2*q. Calculate y(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36790 is divided by 18287?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214 or -210?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 291406, 582781, 874130, 1165453, 1456750?\n\"Answer: -13*m**2 + 291414*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72404 - 14448. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(4 - 3 - 2)*(1 + 0 + 0)*(-15*v + 15*v + 3*v**2).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(108) - (sqrt(108) - (sqrt(108) + 0))) - sqrt(108) - (3*-6*sqrt(9)\/sqrt(3))**2.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24253154 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17 - (-215)\/10*802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 39*r**2 + 24766*r - 373508. Calculate s(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:14 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 428674171 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/1677*(-702)\/54.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -10, 4, 40, 104, 202?\n\"Answer: y**3 + 2*y**2 - 15*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15180 and 693036?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -38*z + 116\/3 - 2\/3*z**2 = 0.\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*p + 32 = 0, 0*h + 3*h - 4*p - 16 = 0. What is the greatest common factor of h and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 766 and 9?\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 273 = -63. Solve 0 = -d*i - 3 + 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73145, 146312, 219513, 292766, 366089, 439500, 513017?\n\"Answer: 3*x**3 - x**2 + 73149*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*o - 20, 3*o + 2*o + 10 = -5*i. Let u be o*-1*2 + 5. What is the first derivative of -y**3 - y**3 - 5 + u wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 20762?\nAnswer: 20758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a + 18. Let s be p(-6). Suppose -3*b + s = -75. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427680 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2250 and 4751510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675))**2*2.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqzq when four letters picked without replacement from qqqz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 60. Let s = i - -98. Suppose -19*g + 15*g = -s. What is the greatest common divisor of 216 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -47. What is the second smallest value in -3\/7, q, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265*-374.\nAnswer: 99110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -8, -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/15, -1\/23, 3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/2 of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 15*k + 4. Let f be d(0). Suppose f = -5*h - 1, t - 5*h - 14 = 0. Solve -4*m = -t*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/9 (c) -271 (d) -0.6 (e) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 49*r + 28 = 2*k, -k = -3*r - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u + 40*u**2 + 185*u + 68*u**2 - 211*u**2 + 71*u**2 as m*u**2 + b*u + q and give b.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 - 144. Suppose -4*a - 2*g = -a - m, -160 = -4*a + 4*g. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5588 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -665, -973, -1279, -1583?\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054649418 to 6 decimal places.\nAnswer: 0.005465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 2.624707641444?\nAnswer: 1.375292358556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -69, -46, -3, 66, 167, 306, 489?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4366, -0.21, -4, -0.9, -3\/7 in descending order.\nAnswer: 4366, -0.21, -3\/7, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 17*s + 134, 0 = -21*m + 26*m + 3*s + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*v - 26, 2*v - 15*h + 335 = 276 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 9 = -18*y. Let x(k) be the first derivative of k**3\/3 - 5*k**2\/2 + 2*k - 1. Let u be x(3). Is y at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 48, 46, 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 87 = -5*o - 7. Let l(a) be the first derivative of 3\/4*a**o + 9\/5*a**5 - 9*a**3 - 6*a + 17 - 27\/2*a**2. What is i in l(i) = 0?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 538774 - 538750. Factor 504 - z*p + 2\/7*p**2.\nAnswer: 2*(p - 42)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1436, 2869, 4294, 5711, 7120, 8521?\n\"Answer: -4*k**2 + 1445*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*s**3 + 58*s**3 - 102*s**3 - 4*s**2 + 2 + 4*s**2 + 5*s to o*s**3 + i + q*s**2 + y*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 401689392*g**4 + 1478794380*g?\nAnswer: 4820272704*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 - (-3)\/(4 + -19). Which is the closest to q? (a) 1\/2 (b) 8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, 2\/33, -14\/11, 4, 17, -13, -0.04?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)\/w**(-1\/5)*(w**1)**(1\/24) assuming w is positive.\nAnswer: w**(-691\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/46*(-178825)\/(-3110) + 38.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/75*130\/26*-3.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 10*w = -3*c + 141, -3*c = -2*w - 116. Let i be (20\/(-30))\/(2\/(-6)). Suppose 12 = i*r - 0*r. Calculate the greatest common factor of r and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 3 = 5*l, d = -5*l + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293252.8 centuries in months?\nAnswer: 351903360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 231 in increasing order.\nAnswer: -4, -1, 7, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -16.\nAnswer: 23\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f + 2*q + 10 = 0, -68 = -4*f + q. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13431\/17 or -791?\nAnswer: -791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1371)\/(-36) + 34\/(-408) + -17 + 17?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 356*h**3\/3 + 4*h**2 - 54*h + 1175. What is the second derivative of k(q) wrt q?\nAnswer: 712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 3*x, 72 = 5*g - x. Let u = -13 - -3. Let q be (u\/2)\/(0 - 1). Solve 4*w + w = -5*f + g, w - 3 = q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*c**5*j - 160427*c**3*j + 2*c**2*j - c*j + 88250*c - 10*j + 2 wrt c.\nAnswer: 1560*c**2*j - 962562*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 - 3*v**2 - 17*v + 41. Let x be b(-8). Suppose -x*i = -91*i - 16. Solve 11 = -i*r + 27 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2 = -3*o - 1, -5 = 4*i + 5*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 - 13*p + 21. Let i be g(3). Suppose 11*a - i = 41. What is the highest common factor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 9901.\nAnswer: 19802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxbxgxxxby. Give prob of sequence xxg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n + 39*n + 104*n in the form u*n + b and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 13*s - 320 = 0. Calculate the smallest common multiple of s and 230.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5987 - -5993. Let g(c) = -5*c + 41. Give g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 16. Let g be a(9). Suppose 2*t = 2*j + 6*t - 22, g = 2*j - t. Suppose j*f - 22 = 23. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s + 4. Suppose -2*w + 6*w - 28 = s*f, 0 = 5*f - 5*w + 45. Put 1, f, 5 in descending order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 - 17*u - 6. Let m be y(-5). Let t(o) = 0*o + 8 - 3*o + 5*o + 29*o**2 - m. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121375)\/6797)\/(15\/(-14)).\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 2*u, -4*u + 9*j + 95 = 4*j. Suppose 7*v = 6 - u. Let x(o) = 37*o**2 - o - 4. What are the prime factors of x(v)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43568, 174308, 392232, 697340, 1089632, 1569108, 2135768?\nAnswer: 2789612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2 - 7, -3*n = -5*t + 19. What is the third derivative of 3 - 1 + 11*d**4 - 45*d**n - 21*d**4 wrt d?\nAnswer: -240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-3\/23)*k**(-4\/7)\/k**(2\/15) assuming k is positive.\nAnswer: k**(-1387\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 13ebc?\nAnswer: -13ebd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 202 in -3, 2\/3, 6, 0.3, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 16*g**2 - 2*g - 12. Is k(-14) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29375*s**3 - 3173 wrt s?\nAnswer: -88125*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2232 by 1.\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97335327\/253 + 384724. Let v = 12\/23 + u. Let l = 51\/416 + 1\/32. Sort l, 0.5, v in descending order.\nAnswer: 0.5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpbmbbbppbym. What is prob of picking 1 m and 1 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 903 divide 5543296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66545885 and 1995?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25\/8 - -107\/24. Let j be ((-385)\/110)\/((-91)\/78). Determine f so that 8\/3*f**2 + 0*f - 4\/3*f**4 + 0 - w*f**j = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(540)*-2 + sqrt(540)))\/(sqrt(768)*1)*1.\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2184353268 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, 21, 113, 243, 417, 641?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897925 by 35.\nAnswer: -25655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(b + 2*b + 3*b)*(-2*b + 0*b + b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 432, 578, 708, 816, 896?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2173 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 32*b**2 + 59*b - 4. Let l be v(-30). Solve l*k - 6 = 24*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 166268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -249, -62, 1, 9 in increasing order.\nAnswer: -249, -62, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Suppose 35 = r + 4*r - 3*q, w*q = -2*r - 2. Suppose 27 = r*c + 3. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, e: 1, s: 8, z: 2, a: 2}. What is prob of picking 2 z?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 80*v - 144. Does 22 divide t(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-150)\/4)*1740\/87*5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = o - 1267 + 1271, 5*o + 3*u = -28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 44*n - 150. What is the hundreds digit of l(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g**3 - 5*g**4 - 2*g**3)*(2*g - 4*g + 0*g) + (4*g**2 - 5*g**2 + 3*g**2)*(2*g**3 + 4 - 4) + 2*g**5 + 7*g**5 - 5*g**5)*(0 + 2 + 0).\nAnswer: 36*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let k(a) = -3*a + 1. Let j be (0 + 3)\/(17\/34). Determine j*n(q) + 3*k(q).\nAnswer: -3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(304))**2 + -2 + sqrt(76)\/sqrt(4) + ((1*sqrt(95))\/sqrt(5) - (-4 + -2*sqrt(19) + sqrt(19)))**2.\nAnswer: 17*sqrt(19) + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264 - 261. Solve 4*d - 5*r = -r + 20, r = -u*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 4*y - 2*y - y**2 + 4 + y**2. Let s be m(7). Calculate the highest common divisor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*t + 12 = 5*l, -3*t = 4*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u + 4. Let x(i) be the first derivative of 11*i**2\/2 + 9*i + 7. Let m = 0 - -13. Let l be -1 - (-1 - 0) - m. Determine l*o(w) + 6*x(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 4528.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h + 65. Let w be t(12). Suppose -z + 23 + 3 = 5*r, 15 = 2*r + w*z. Let l be (44\/(-6))\/((-4)\/30). Calculate the highest common factor of l and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 0)**2 + sqrt(2448) + -1 - sqrt(2448))*3 - (-4*sqrt(833) + sqrt(119)\/(sqrt(7)*-5)).\nAnswer: 141*sqrt(17)\/5 + 7341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23251 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009132 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1792\/(-84) - -22)*(1077\/(-15) - (-2)\/(-10))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 700985*g + 6309270.\nAnswer: -5*(g - 9)*(g + 140206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 83 - 0\/7. Suppose -a + 4*y = -29 + 2, -4*a + z = -3*y. What is the remainder when 73 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40534297.\nAnswer: 257, 157721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 75. What is the nearest to 0.7 in y, -3\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/20 - 55*j**3\/3 + 23. Let q(x) be the third derivative of w(x). Let a(n) = 3*n. What is a(q(p))?\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 3*i = 2*y + 12, -5*y = 4*i + 1418 - 1434 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 3, -52, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r + 12. Let i(x) = -7*x - 8. Let w(q) = 5*h(q) + 8*i(q). Let a be w(-6). Let u = 1 - 0. What is the second biggest value in 3, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 542801 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129.8 - 124. Let w = -6.8 + h. Which is the nearest to 0? (a) w (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*380\/(-1140)*(-7)\/(-17).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:09 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 106 = -3*b. Let l = -71 - b. Suppose 115 = 3*k + 100. What is the highest common factor of l and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -689, -8, 2, 5\/2, 0.2 in decreasing order.\nAnswer: 5\/2, 2, 0.2, -8, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2823*k + 2828*k - 5, 4*y - 2*k = -20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, -511, -8, -4, 0 in ascending order.\nAnswer: -511, -8, -4, 0, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2*-1*(-13)\/78). Suppose -40 = -u + 5*m, -8*m = g*u - 11*m - 108. Solve u*s = 37*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 27*j + 2 = 0. Suppose -4*x + 24 = -j*x. Suppose 3*q = 132 - x. Do q and 39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**5 + 48*l**4 + 28*l**3 - 36*l**2 - 4*l. Let p(c) = 3*c**5 - 47*c**4 - 27*c**3 + 38*c**2 + 5*c. Let f(u) = 5*b(u) + 4*p(u). Solve f(r) = 0 for r.\nAnswer: -1, 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 165?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145905637 + 145905637 - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-6)\/m)\/((m*m**(-7\/3)\/m)\/m))**(-1\/6))**(3\/2))**31 assuming m is positive.\nAnswer: m**(341\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10147, -10160, -10187, -10234, -10307, -10412, -10555, -10742?\nAnswer: -10979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 + 3*o. Let v(h) = -4*h**2 + 4*h + 1. Suppose -14 = 7*p - 14*p. Determine p*v(f) - 3*q(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-29 - 91))\/(-3 + 89\/30)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, 0.0368, 2\/11?\nAnswer: 0.0368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680 (base 14) in base 2?\nAnswer: -111111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33517550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -272*m - 15. Calculate f(1).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(5\/(-3)*(4245\/(-150) - -27))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 3, 1, 1.86?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/8 - -2)\/(-36 - 4620\/(-128)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23412? (a) -0.4 (b) 0 (c) -3 (d) -0.012 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008645 rounded to 5 decimal places?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.43? (a) -2\/3 (b) -28 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31124 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4136 + 207 = v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61283\/5076 + -13\/1269. Let u be ((-2)\/6 - 1)*12. What is the common denominator of a and (78\/35)\/(u\/(-14))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 100 - 9 = 3*g, 3*v - 3*g = 171. Let m = 5 - -16. Calculate the remainder when v is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12*(-6)\/8)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/280)\/((-177)\/(-118)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 3)*(-2*d**2 - 3 + 3)*((2 - 5 - 4)*(2*d + 0*d + 0*d) + (5*d - 3*d - 4*d)*(5 - 4 - 2)).\nAnswer: 144*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10065 + -0.86575. Let l = o + 0.77. What is l rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -19 - 5. Is (-9 - s)*18\/(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 + 2*v - 2. Let z(w) = w**2 - 5*w - 16. Let u be z(7). Let k be c(u). Solve k*m = 8 + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3240 divided by -27\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 3431.\nAnswer: -23\/3431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3151229794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92194032 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j**2 - 56*j**2 + 70*j**2.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 14*v - 10. Let o be m(13). Solve 4*b - 3*b = 2*y + 4, 3 = -o*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*h + 4554 = 0, -v + 1500 = -21*h + 23*h. Calculate the highest common divisor of v and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 3 - (-8 - (-16 + 17))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 + (-290)\/270. Are 0 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 8:49 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -792*o - 650 + 511*o + 526*o wrt o.\nAnswer: 245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 6*p - 6*p - 17*p to the form s + k*p and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -3*o + 60. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-66)\/(-36) + (-9)\/(-54) - -82998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(684) + -2)**2 - ((-1 + sqrt(475))**2 + (sqrt(304) + 1)**2)) + -4.\nAnswer: -98 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 276 - 1929\/7. Let r be 0 - ((-4)\/(-2) + -1). Let w be r\/(-1 + (1 - 1)). Which is the closest to -0.2? (a) f (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 4*n**2 + 2*n + 8. Let c(d) = 1. Give 6*c(p) - t(p).\nAnswer: 2*p**3 - 4*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxeexxxxxzxxzxezmeze. What is prob of picking 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 794, 0, -4, -174 in increasing order.\nAnswer: -174, -4, 0, 1, 2, 794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -964221.2 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = 7*b. Let z(a) = 52*a - 1. Let d(m) = 52*m - 1. Let v(w) = 5*d(w) - 4*z(w). Calculate the remainder when v(b) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.208*1163\nAnswer: 241.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a5 (base 13) to base 5.\nAnswer: -3343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4312 + -0.4312. What is the fourth biggest value in -1, k, -4, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3491 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5690*-11513.\nAnswer: -65508970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3))**(2\/35)\/(n**(-2\/29)*n*n**(-3)))**(-35))**(-2\/65) assuming n is positive.\nAnswer: n**(3852\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 (base 11) in base 5?\nAnswer: 10234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27232 and -7134829.\nAnswer: -7162061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 + 0)) + (121 - 129)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 10 (c) -1 (d) 2 (e) 1\/7 (f) -120 (g) 327\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 88474 + -2?\nAnswer: 88472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/(4\/(-8)). Suppose -3*u - 14 = -5*u. What is the highest common divisor of u and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572\/24 + (-35)\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3225, -6143, -9061, -11979, -14897, -17815?\nAnswer: -20733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5718 = 9*b - 4127 - 86716. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 7*d**3\/6 + 3*d**2\/2 + 3*d. Calculate the remainder when i(4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 4, u: 11}. What is prob of picking 2 g and 2 u?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20306096 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4678821, 9357657, 14036491, 18715323, 23394153, 28072981, 32751807?\nAnswer: 37430631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45120 and 162720?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -280*t**2 + 167*t + 340. Calculate v(-2).\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 2:15 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {r: 2, j: 7, a: 4, w: 2, x: 1, c: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.44 and 13.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hccooououuoo. What is prob of sequence co?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -24. Is a greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 41. Suppose -3 - 3 = -z*b. Suppose 26*h + 6 = 28*h. Solve -4*k = -2*n, 3*k + n - h = b*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010000100 + 0?\nAnswer: 1010010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b**3 + 6*b**2 - 2*b + 4. Calculate the remainder when n(-3) is divided by 81.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -87*a**2 + 207*a - 7. Let l(w) = 173*w**2 - 378*w + 13. Let f(d) = 11*c(d) + 6*l(d). Let i = 22 + -16. Is f(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r - 386 = -5*h, -h = -1. Suppose -r - 203 = -5*f. Suppose 0 = 2*u - f - 42. What is the highest common divisor of u and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 23. Let q be m(8). Let p(l) = l**2 + 3*l - 5. Let t be p(-5). Solve t*s - q = 0, 2*c + 8 = c + 2*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*((-1 + sqrt(833) + -5 + sqrt(833))**2 + sqrt(833) + (sqrt(833) + 4 - sqrt(833))*-3)*4.\nAnswer: -3864*sqrt(17) + 80544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24867192 divided by -8707.\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 2557*x**6\/120 - 1769*x**5\/60 + 746*x**2. What is the third derivative of m(n) wrt n?\nAnswer: 15342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 373 - 1455. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 66 = -45 - 69 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7 + (-106)\/14 - (-101872)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.079\nAnswer: -0.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 5. Let j be g(-8). Sort j, 0, -5 in descending order.\nAnswer: j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:14 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 - ((1 - 5) + 7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 15, c: 4}. Give prob of sequence ccc.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335258.1 nanometers to centimeters.\nAnswer: 0.03352581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735, -444, -153, 138, 429, 720?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r - 116\/3*r**3 - 17 + 5\/2*r**4 + 0*r**2. Find the third derivative of y(a) wrt a.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 347 = o + 2*o, -2*v + o = -171. Suppose 5*y - 3*y - v = 0. Let d = -39 + y. Solve -4*h + 2*a - d*a - 24 = 0, -4*h = -a + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 683.2559 days?\nAnswer: 59033309760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 b, and 1 d when four letters picked without replacement from {k: 1, a: 3, b: 9, t: 1, d: 2, z: 3}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 6*r + 8. Suppose -2*b - 4*w = 12, b - 6 = 29*w - 25*w. Calculate l(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**2 + 4\/5*m**5 + 13\/22*m**4 + 8\/33*m**6 + 22 + 0*m + 4\/33*m**3. Suppose b(c) = 0. What is c?\nAnswer: -2, -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 - -56. Let v = -72 - x. Solve 1 = -c - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -257*x**2 + 12*x + 9. Let m be p(-1). Let d = m + 308. Calculate the least common multiple of d and 22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/7))**(-2)*q*((q*(q*q**(-15))\/q*q)\/q)\/q*(q**7*q)\/q assuming q is positive.\nAnswer: q**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a - 7. Let u(t) = -6*t. Determine x(u(b)).\nAnswer: -78*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -263?\nAnswer: -1\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0*g + 2)*(14 + 12 - 23).\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17691*p**2*w + 3*p**2 + 936*p*w - 4*w - 3 wrt p.\nAnswer: 35382*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 3*t**2 + 3*t. Suppose 16 = 2*b + 4. Suppose 36 = -b*x + 15*x. Let y(i) = i**3 - 4*i**2 - 4*i. Calculate x*s(z) + 3*y(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round 448.7810534 to the nearest integer.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4534445 times 4\nAnswer: 18137780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65405 and 2540?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 21 + 48 + 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5295 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 16*q - 31. Let i(v) = 2*v**2 + 48*v + 93. Let b(z) = -2*i(z) - 7*n(z). Let d be b(-10). What is the greatest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 1, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5 + 55*o**4 = 0 for o.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a + 3*w = 23 + 280, 39 = -5*a - w - 0*w for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, 1, 17, -2 in descending order.\nAnswer: 17, 5, 1, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1408 bigger than -1410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23904, 23922, 23940, 23958, 23976?\n\"Answer: 18*p + 23886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 820155 and 57840455.\nAnswer: 1214649555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a43 (base 14) to base 13.\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 119476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.528 (b) 3 (c) -6 (d) 1.9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 2*i**2 + 4*i - 3. Suppose h + m - 7 = -m, -6 = -4*h + 3*m. Give l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -383476, -766965, -1150454, -1533943, -1917432?\n\"Answer: -383489*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1353*p*s - 179*s + 4 wrt p?\nAnswer: 1353*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x, 7*x = -2*z + 24468 + 16501. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, -6, -20, -38, -60, -86, -116?\n\"Answer: -2*g**2 - 4*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508177?\nAnswer: 11, 167, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 37. Suppose y*a - 21 = 3*s - 0*s, -a + 16 = -4*s. Factor 2\/3 + 0*f**a - 1\/3*f**5 - f - 2\/3*f**2 + 4\/3*f**3.\nAnswer: -(f - 1)**3*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.7572 decades in years?\nAnswer: 4167.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/14)\/1 + (-57)\/(-133). What is the smallest value in 2\/3, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 22*r**2 - 21*r + 2. Let b be d(-21). Put 11, b, -1\/3, -4 in ascending order.\nAnswer: -4, -1\/3, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-13) - (116600\/(-65) + 4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76)*-1)\/((sqrt(44) + sqrt(704))\/sqrt(11) + sqrt(4)) - (sqrt(57)\/(-4*sqrt(75)) + 1).\nAnswer: -1 + 11*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let x(w) = -10*w + 38. Let o(n) = n. Let m(c) = -18*o(c) - 2*x(c). Give m(p(v)).\nAnswer: 2*v - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 3*d + 12. Suppose 2*y - 15 = 5*k, -2*k + 2 = 12. Let i be m(y). Suppose 0 = -i*v + 6*v - 52. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 5\/4*b**4 + 5\/3*b**3 + 0*b + 13 - 5*b**2. Let h(o) = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/60 + n**4\/24 + n**3\/6 + 2*n**2. Let d be x(-2). Let q = d - 9. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 + 209. Calculate the greatest common divisor of a and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.123 - 4.40028. Round x to three decimal places.\nAnswer: -0.277","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*z = -42*z + 21*z - 457 + 12957 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 816\/40 - 5 - 14\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 463476 - 416*a - 463476.\nAnswer: 9*a**3 - 416*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 11 = f. Suppose 9 = q + 2*k, -f = 2*q - 7*q - 4*k. Let d = q - 1. What is the lowest common multiple of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/140)\/(12846\/(-42820))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 3*w**2 + 7*w - 10. Let y be r(4). Suppose 0 = 5*d + y*k - 15041, -37*d = -34*d + 3*k - 9030. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665703.\nAnswer: 13, 37, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 20*u**2 - 18*u.\nAnswer: -2*u*(u - 9)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5004547.2 minutes in days?\nAnswer: 3475.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15303168 divided by 7776\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969642517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 18*r + 21. Let t be x(-17). Let h = 244\/3 - 78. Is h at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150928495*w + 557959922.\nAnswer: 150928495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -75. What is the least common multiple of c and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 106.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*a + 5*a - 1, 4*a + 10 = 2*l. Let d = 0.001 - -3.999. Put d, -5, 5, l in descending order.\nAnswer: 5, d, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Suppose l + 0*l - 4 = -3*a, -4*a + 20 = h*l. Solve -2*t = a, -4*s + 6*s - 8 = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24212201 (base 5) to base 10\nAnswer: 225926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 + 150. What is the units digit of (-3)\/(((-3)\/582)\/((-1)\/i))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 6 + (2 - 0). Solve -2*x + v = -5*b - 7*x, b = 3*x + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + 5 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 27*h - 25*h - 5*o, -17 = -4*h + o. Let f = 11 - 6. Let s be ((-3)\/(-3))\/(1\/2). Sort -4, f, h, s in descending order.\nAnswer: f, h, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20 + 0)*(1 - (-118)\/8). Let p be ((-4)\/(-3))\/((-42)\/q). What is the highest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010000010011101 (base 2) to base 5.\nAnswer: 13430141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10894844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 - ((-2 - 7) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = b + 10, -5*c + 2*b + 3*b = -25. Suppose -5*i + 16 = -4*f, -3*i + c*f + 9 = 2*f. Calculate the least common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*i + 256 + 654 = 59*i. What is the closest to 0.5 in -2\/5, i, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 20 - 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39151787 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10575, -21136, -31697, -42258, -52819, -63380?\nAnswer: -73941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.77 + 0.77. Let r = -17 - z. Let p = -11 + r. Which is the second biggest value? (a) -1 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2380.799119 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 39 + 1 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 24*i**2 - 2. Give o(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26753299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 + -11?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-27\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5766*c**3 + 3293*c**2. Let l(s) = -23064*s**3 - 13174*s**2. Let n(r) = 2*l(r) + 9*y(r). What is the third derivative of n(q) wrt q?\nAnswer: 34596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*c + 45*c - 56*c - 47*c in the form s*c + w and give s.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 34 = 5*x, 77*x + 22 = 82*x - 4*k for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, k: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 3043*b**4\/2 + 263*b**3\/3 - b**2\/2 + 7*b + 13518. Find the third derivative of d(x) wrt x.\nAnswer: 36516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -14*k + 4. Which is the closest to k? (a) 0.3 (b) -4\/9 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -6, 5, -1, -708, 8 in increasing order.\nAnswer: -708, -45, -6, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*171\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*x + 4*v, -5*x = 3*v + v + 25. Let l be ((-12)\/8)\/(x\/4). Suppose l*k - 25 = k. Solve 3*a + 2*a - k = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 - 7*m**3\/2 + 82*m**2 + 9*m - 1. Give l(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 41*t**2\/2 + t + 249. What is n(-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51428181.68218 + 51429697. Let i = z - 1515.5. Let o = -0.184 - i. Round o to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.3952 + 0.3492. Let n = h - -0.046. Let o = n + 25.91. Are o and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*w - 152*w + 43*w + 3237*w**2 + 53*w as z*w + j*w**2 + y and give j.\nAnswer: 3237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - 3.4. Which is the second biggest value? (a) 11 (b) 3\/5 (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 18. Let t be (-16)\/(a + (1 - 2)). What is the tens digit of t + (-4 + 3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23701996 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/25*-1)\/(2\/115). What is the nearest to i in 10, 4, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 1. Let h(j) = -11*j + 4. Let x(u) = h(u) + 4*l(u). Let q(y) = -5*y**2 - 9*y**2 + 4*y**2. Give q(x(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3 - 6. Let t be (4\/w)\/((-14)\/21). Sort t, 3, 0 in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.24 - -0.37. Let z = f - -0.77. Suppose 2*t = 4*t + 10. What is the third smallest value in -1.2, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735 (base 8) in base 6?\nAnswer: 4325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3204628\/2739 + -1170. Which is bigger: u or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2\/8 + 245604*w - 5894469\/8 = 0.\nAnswer: 3, 654941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740405?\nAnswer: 5, 853, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/57)*g**(2\/15)*g*g)\/(g**(3\/7))**(-5\/9) assuming g is positive.\nAnswer: g**(4661\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - -1 - 27 - -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4fb4 (base 16) in base 9?\nAnswer: 30881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1860 = -5*g, r = 2*g - 7*g + 1870. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243)\/(-11) + (384 - 407).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-12))\/((-2)\/(-1540)). Let l = h - -2368. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2763*o - 225*o**2 - 347*o**2 + 1385*o + 1378*o as w*o**2 + x + c*o and give w.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:12 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2764 = -5*m + 9*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2\/9 + 4095554*b\/9 - 1638220\/9.\nAnswer: -2*(b - 409555)*(5*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let t(f) = 200*f**2 - 92*f**2 - 98*f**2. What is t(b(q))?\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4079*g + 2269*g + 6368*g = -5032*g - 882280 for g.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*w = 314*w + 163*w + 7900 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*x + 30 - 11, -55 = -5*h + 5*x. Suppose 4*z + t = 6, -2*z - t - 4*t = h. Suppose -z*u + 7 = -17. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 16. Suppose 0*o - 3*o = -24. Let i be u\/2*o\/(-3). What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19 + (-1 - (-6)\/2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8050961.\nAnswer: 8050961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*s + 4*z - 8*z, -2 = -s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1650 = -4*d, -3*d - 4*p - 430 = -4*d. Suppose -v - 1 = 0, -4*m - 29*v + d = -31*v. What is the remainder when m is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b - 2 - b**2 + 0 - 4 - 6. Is a(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 66.5. Sort -3\/8, 1, f.\nAnswer: -3\/8, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23562\/(-84) + 3)*((-1)\/(-5) + -1) is divided by 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000741 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - f**2 - 6*f**2 + 11.\nAnswer: -8*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**2 - 18*w**2 + 23*w**2.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 57*u**7\/280 - u**4\/24 + 14*u**3\/3 - 5*u**2. Let y(v) be the first derivative of o(v). What is the hundreds digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - 1.22. Let t = 41650 - 291554\/7. Put -1, t, q, 1 in descending order.\nAnswer: 1, t, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -172*a**5 + 2066*a**4 - 3636*a**3 - 14062*a**2 - 8092*a + 96 = 0.\nAnswer: -1, 1\/86, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - r**5 + 0*r**2 + ((-2*r + 0*r + 0*r)*(-4*r + 5*r + 2*r) + 104*r**2 + 65*r**2 - 69*r**2)*(7*r**3 + 7*r - 7*r).\nAnswer: 657*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -6b?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 > 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*p**3*t*u**2 + 5*p**3*u - 4*p**3 - 6*p**2*t + 3*p**2*u - 2*p**2 + 35*p*t*u**2 - 2*p*u**2 - 4*u**2 wrt u.\nAnswer: 102*p**3*t + 70*p*t - 4*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 945340, 945337, 945334?\n\"Answer: -3*z + 945343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q**3 + 7*q**2 + 17*q - 11. Let p(r) = -7*r**3 - 5*r**2 - 12*r + 7. What is -5*l(m) - 7*p(m)?\nAnswer: -m**3 - m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 9}. Give prob of sequence dda.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, x: 1, z: 2}. Give prob of picking 1 x and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 42*b = 0. Suppose -2 = -2*y + v - b*v, 2*y = 5*v - 14. Solve 3*k - 2*k = 2*g + 12, y*g + 5*k + 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 + 4. Let q(d) = -176*d**2 - 99. Determine -99*n(v) - 4*q(v).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -88300 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4768, -4769, -4770, -4771?\n\"Answer: -f - 4767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3377031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 5342584*p + 21370400.\nAnswer: -4*(p - 4)*(p + 1335650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*p + 52*p - 15*p - 107*p.\nAnswer: -317*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/4581 and 37\/68630506?\nAnswer: 617674554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 934 and -48 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1313 = -5*u, -u = a + 104 + 225. Let k = a - -816. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/((-21)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1628*o + 134 = -m - 1623*o, 0 = -5*m + 6*o - 176 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -224.4 - -224. What is the smallest value in 0.4, -1\/3, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 432180083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 8. Let o(i) = 3*i - 5*i + i**n + 2*i. Let j(r) = -r**2. Calculate j(o(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1016 and 18.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-385)*1\/(-8))\/((-48)\/180).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/5 and 107\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - -2*sqrt(171)*-1) - (sqrt(171) + -2*-1*sqrt(171) + sqrt(171)))\/(sqrt(900) + sqrt(900)*1*6).\nAnswer: -2*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 13*z - 10. What is p(3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*x + 128*x + 52 = 0. What is the highest common factor of 169 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w = -26 - 36 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -60. Calculate the least common multiple of x and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -1\/3*q**3 + 2*q - 1\/20*q**5 + 5\/2*q**2 - 5\/12*q**4 - 8. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -0.7 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 24, 4, -5, -26, -3\/5, 0 in descending order.\nAnswer: 24, 4, 0, -3\/5, -5, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/53)*w)\/(w*w\/((w**(-18\/5)*w)\/w*w)*w))\/(w**12\/(w**15\/w)) assuming w is positive.\nAnswer: w**(-169\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 34. Suppose 4*g + 3 = 3*g - 2*m, m + f = 4*g. Suppose 3*j = 5*r + 5*j - 9, g*r = -2*j + 3. Which is the nearest to r? (a) -3 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4178713\/132 + 2\/24. Let f = l - 20900. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(9\/5))\/(r\/r**(1\/8)))**15 assuming r is positive.\nAnswer: r**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -39, -91, -163, -255, -367?\n\"Answer: -10*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2745 + -1242. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 3*f - 260. Let r(y) = y**2 + 2*y + 261. Determine -3*r(w) - 2*v(w).\nAnswer: -w**2 - 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -36. Let v be 102\/(-15)*(-5)\/1. Is v greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 375966*w*z + 19188*w + 12*z + 670 wrt z?\nAnswer: 375966*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 3) to base 10.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 148?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/11)*(t\/((t*t\/((t\/(t\/(t\/t**(-4\/15)*t)))\/t))\/t))\/t)**(-22))**(-34) assuming t is positive.\nAnswer: t**(5032\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:43 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**39*(l\/l**(1\/8))\/l)\/(l**35)**47 assuming l is positive.\nAnswer: l**(-12849\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000453 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((-2*sqrt(500) + -2)*2 - ((1 + sqrt(500) + sqrt(500))*6 + (0 + sqrt(500) + -5 - sqrt(500))))**2.\nAnswer: -512104 - 6400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*z - 7 = 0, n - z - 1 = 1. Is (673*n\/(-2))\/((-4)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m - 9381 - 3819 = 131*m - 35*m for m.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**7\/840 + j**6\/45 + j**5\/40 + j**4\/8 - j**3\/3 + j. Let f(b) be the second derivative of q(b). Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 3*t**2 + 2*t - 2. Let y be z(-3). Let u be (-2)\/y + (-22)\/(-40). Let b = 4 - 4. What is the closest to b in 1, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3701 or 73581?\nAnswer: 3701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -232 + 859. Let l = t + -446. What is the remainder when l is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129061?\nAnswer: 129061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, k: 8, b: 4, q: 2}. Give prob of sequence akk.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 20 + 7)*(v**2 - 2*v**3 - v**2).\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5932, -5933, -5934?\nAnswer: -5935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i - 66*i = -11*i - 151040. Calculate the remainder when i is divided by 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/9*(-893)\/228 + (-4)\/(-18). Which is the third smallest value? (a) -7 (b) -62 (c) -2\/15 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 - 6 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 104. Calculate the lowest common multiple of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*9\/(-2). Suppose 5*q - 22 = a*q. Let g be 81\/3*q\/3. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -771. Let d = 1112 + s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 246 + 178 = 0. Calculate the remainder when g 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 -17*c**2*w**3 - c**2*w + 17*c**2 + 951008*c*w**3 - 1417*c*w + 123*w wrt w.\nAnswer: -102*c**2*w + 5706048*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*t + 3. Let c(g) = -2*g**2 - 3*g + 46. Let y be c(t). Put y, -3, -5 in descending order.\nAnswer: -3, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/(((-7)\/210)\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-12))\/(-7)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290\/133 - 36\/19. Find g such that -u*g**2 - 4\/7 + 6\/7*g = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttka when four letters picked without replacement from {j: 1, t: 4, b: 1, k: 1, a: 3, f: 6}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -131. Solve 4*m + 1 = u + p, 4*u = -4*m + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/91 + 4455\/143. Solve -i*h + 146 = 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793178535 is divided by 1711?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -98*a + 113. Let u(i) be the first derivative of -5 - i**5 - 5\/3*i**3 + 10*i - 15\/2*i**a + 15\/4*i**4. Factor u(r).\nAnswer: -5*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3224455 + 1443?\nAnswer: -3223012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + 2*c**2 - c - 1. Let y be r(1). Suppose -y*x = 114 - 114. Suppose x = 37*a - 34*a. Solve -2*h + a*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q - 2*x - 24, 2*q - 8 = 4*x. Which is the second biggest value? (a) -1\/3 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7068 + -0.2932. Put 7\/9, -1\/6, -1\/2, -0.4, m in decreasing order.\nAnswer: 7\/9, -1\/6, -0.4, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/3 + 7*x**3\/6 + 8*x**2 + 139*x. Is r(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54323448*j**3 + 348547458 wrt j.\nAnswer: -162970344*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 662 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 + 48 = -3*i, 5*i + 80 = 3*d. Calculate the greatest common divisor of d and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/((-95)\/(-30)) - (-10 + -786). Calculate the highest common divisor of p and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 - 6*f**2 - 6*f. Suppose -3*d = -0*d - 27. Suppose 3*k + 9 = -d. Let h(c) = -3*c**3 + 5*c**2 + 5*c. Calculate k*h(u) - 5*q(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137 by 1.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1\/2*m**2 + 1\/2*m + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1002403, -4009630, -9021675, -16038538?\n\"Answer: -1002409*c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-4)\/((-12)\/3)). Let l be ((-6)\/21)\/(z\/(-14)). Find the third derivative of l*k**5 - 6*k**5 - 5*k**2 + 5*k**5 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*a - 8*n + 8, -a + 21 = -4*n. Suppose -2 = -4*x + a*x. Let y be 6\/(4 - (-5)\/x). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.07 - 0.93. Let f = i - -44.6. Let r = -32.48 + 30.48. Which is the nearest to f? (a) r (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*u + 36*u - 58*u + 1)*(-3*u + 0*u + 0*u).\nAnswer: 210*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 2*c + 4, 0 = p - 3*c - 14. Let j be p\/((-40)\/(-35) - 1). Let h = j + -10. Solve 2*o - 32 = -3*o + 3*d, 3*o = -4*d - h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - w**2 + 2*w**2 - 73*w**3 + 149*w**3 + w**2 - 75*w**3 to n*w + u*w**2 + l*w**3 + f and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n**3 - 164*n**2\/7 + 12*n\/7 = 0 for n.\nAnswer: -3, 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + 4) - -6) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74469 in -5, -4\/7, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 11*s**2 - 9*s - 28. Let n be f(-12). Let a = n + 66. Solve 3*t + a*t = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60269805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*n - 6. Let z be 8\/(-12)*-15 + n. Is 5\/((-5)\/z)*-43 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -4\/19 (b) -0.2 (c) -19 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3*x**2 - 3*x - 4. Let r be a(4). Let t(n) be the third derivative of r + 0*n**3 + 0*n - 1\/8*n**4 + 2*n**2. Let c(q) = -q. Determine t(c(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171 or -47\/14?\nAnswer: -47\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15086 to the nearest ten.\nAnswer: -15090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 33 - (-3 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-10))\/(16\/(-2400)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-6) + (-2)\/(-6). Suppose 0 = 3*c + 2*z - 65, 2*c - 5*z - 70 = -z. Suppose 5 = 5*o - c. Calculate the highest common divisor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0.3, 2, 1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1)\/(1\/(-1)). Let d = 317 + -446. Let p = d + 2192\/17. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 34*c**2 - 14*c + 740. What is the ten thousands digit of m(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12964*c**3 - 318*c wrt c?\nAnswer: 77784*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -17.7. Let k = 13 + x. Let y = -819.5 - -820. Put k, y, 4\/9 in descending order.\nAnswer: y, 4\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15858 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - 7*b**2 - 6*b - 5. Let f(n) = 3*n**2 + n**3 + 5*n + 4 - 7*n**3 + 3*n**2. Suppose -24 = 4*u + j, -6*j + 2*j = -5*u - 9. Give u*x(a) - 6*f(a).\nAnswer: a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/2 - 24*j**3 - 141*j**2 - 360*j - 675\/2.\nAnswer: -3*(j + 3)**2*(j + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (428*n**2 + 4*n - 2*n - 3*n)*(5 - 5 - 2*n**2).\nAnswer: -856*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (-1*sqrt(125))**2 + sqrt(125))*2.\nAnswer: 20*sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 18*k - 44. Let m be o(14). Suppose 4*c - 24 = -2*i, 3*c - c - m = -4*i. Solve 2*q - 3*y = 5*q + 9, -4*q + 2*y - c = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 7. Let z be i(-6). Sort 0.4, z, -4.\nAnswer: -4, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, s: 1, e: 4, o: 1}. What is prob of sequence llls?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 8*j + 3 + 2*j + 2. Let n be 8 + -2*(1 + 0). List the prime factors of p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51003?\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161722 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7466990*o**2 + 1280439*o + 17?\nAnswer: -14933980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q. Let x(s) = s. Let p = -108 + 86. Let y(v) = p*x(v) - 4*r(v). Let o(a) = 3*a**2. Calculate y(o(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 7. Suppose 5*a + 200 = x*a. Let t = 161 - a. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 - -105. Suppose -5*k - 6*l + 2*l = -36, n = l - 4. Solve -k*j - 5 = 2*s + 5, -4*s - 14 = 2*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.48 at least as big as -1120863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -125, -170, -229, -314?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57414967.\nAnswer: 17, 347, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 10 - (-4 + 29 - 6) - -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, -24805, 5 in decreasing order.\nAnswer: 16, 5, 1, -24805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -40. Does 16 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 - 47610*x**2 + 95185*x + 142800 = 0. Calculate x.\nAnswer: -1, 3, 9520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/((23\/6)\/(-23)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/56 + -2*10\/(-160)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27\/8 (b) 3\/5 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120133322 (base 4) to base 3.\nAnswer: -200102020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {h: 1, u: 8, b: 1, t: 1, w: 2, e: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/1 - (0 - 2). Let t be 123\/6 - (-1)\/(-2). Is ((-6)\/(-4))\/(y\/t) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 7*w + 5. Let p be y(7). Suppose 5*m + p = 5*x, 3*m + 0*x = -3*x + 27. Solve 9 + 3 = -m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -27.\nAnswer: -26\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7*z + 9. What is the smallest value in 0.4, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11350 + 21376. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498152.\nAnswer: 2, 3, 62423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8398 rounded to 2 decimal places?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 14) to base 8\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 82*q**2. Let v be r(-1). Let w = v + -59. Calculate the remainder when 67 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129799, 129880, 130015, 130204, 130447, 130744?\nAnswer: 131095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 + 12*w - 13. Let x be o(10). Let s = -5 + x. Let l be s\/10*(-15)\/2. What is the second biggest value in 0, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s. Let h(p) = -18*p. Let a(n) = n. Let b(u) = u**3 + u**2 - 4*u - 5. Let x be b(-2). Let t(c) = x*h(c) - 15*a(c). What is t(k(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-170))\/(42\/147 - 8\/(-70)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**4 + 3*b**3 + 458*b**2 - 24*b + 3612844.\nAnswer: -8*b**3 + 9*b**2 + 916*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 5*c**2 + 3*c**2 + (-c + 0*c + 2*c)*(-672*c - 1238 + 1238 - 169*c).\nAnswer: -840*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**2 + 1387*z + 61*z**6 - 1434957*z**3 - 18*z**4 + 1434957*z**3 wrt z?\nAnswer: 7320*z**3 - 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44217 and 2431935.\nAnswer: 2431935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((71 - 29) + -41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4526211 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57597982 is divided by 1032.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 29. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 22668*g. Let r(n) = -5*n. Calculate r(p(a)).\nAnswer: -113340*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = 8. Let w be 36\/16 - q\/(-8). Suppose 4*b = -2*c + 30 + 46, 4*c = w*b + 172. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = z - 4*u + 22, 4*z + 13 = -5*u. Let v(g) be the second derivative of g**4\/12 + g**3\/2 + 2*g**2 - g. What is the remainder when v(z) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5) + 4 + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*k - 15*k - 121*k - 173*k + 144*k.\nAnswer: -366*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q + 3001 + 9399 = 0. Let d = -168 - q. Calculate the greatest common factor of 640 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*(-10)\/(-105))\/((-18)\/21). Which is the third biggest value? (a) -11 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -513425, -1026860, -1540307, -2053772, -2567261?\n\"Answer: -g**3 - 513428*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**3\/3 + 3*x**2 + 3*x - 1. Let c be a(5). Suppose 5*d = 14 - 4. Calculate the greatest common divisor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(1 + sqrt(720)) - sqrt(720)) - (-4 + sqrt(720)*1 + -2 + sqrt(720)*1))**2 + -4.\nAnswer: 2592*sqrt(5) + 233312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 15) to base 6.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13311301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 1\/8*y**4 + 2 - 1\/6*y**3 + 11*y**2 + 1\/120*y**6 - 1\/20*y**5 + 0*y. Give v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**3 + 40*g**2 + 16*g + 21. Determine k(-6).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:36 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + -40 + 4 + 2 + (14 - (-3 + 5)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3617 + -3618.1. Let v = -0.94 - -0.04. Let t = v + -0.1. Which is the closest to t? (a) 5 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6075432.5 rounded to the nearest 1000?\nAnswer: -6075000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 67. What is the second derivative of -h + 14*h - 5*h**3 - 10*h**3 + 3*h**m wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*l + 3020 = -65*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(1584) - 1*sqrt(1584))) + (sqrt(66) - -2*sqrt(66))\/sqrt(6).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/7, 0.06, 0.2, 92\/3, -3, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/77 and 2\/2149.\nAnswer: 23639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -313190.\nAnswer: 2\/31319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.804l in millilitres?\nAnswer: 169804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 273*k + 558 - 2593 = -500 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {b: 3, q: 1, o: 5, n: 1, w: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2453*s - 95670. Give z(39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (19\/(684\/(-96)))\/(62\/669). Let b = r - -150369\/5270. Find the common denominator of b and -113\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = d + 1, -d - 16 = 3*h + h. Suppose 0 = -25*u + 23*u - d. Let a(v) = -3*v**2 + 4*v + 3. Give a(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -16.1. Let n be (-4)\/6 - 30\/(-72). Let y = -35 + 32. Which is the nearest to n? (a) x (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.23628 - 1.76082. Let y = 9 + a. Round y to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 62410253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -522 divided by -25\nAnswer: 522\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**3*g)*g**(-2\/21)*g*g*((g**4*g)\/g)\/g*g**(-14)*g)**(-19) assuming g is positive.\nAnswer: g**(4427\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:34 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 91, 149, 217, 295, 383?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9362 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2736514018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20334209 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61511 or -61509?\nAnswer: -61509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-2 - 5))\/((-52)\/728). What is the highest common factor of 376 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7504.27 times 0.017\nAnswer: -127.57259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1021189, -2042394, -3063599?\n\"Answer: -1021205*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 207 - 312 + 205 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1072894 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149001678 to the nearest integer?\nAnswer: 12207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*263254.\nAnswer: -1842778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-48)*(2 + -13 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 - -20?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 291771, 1167074, 2625911, 4668282, 7294187?\n\"Answer: 291767*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 130887.\nAnswer: 130906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13050)\/1000 - (-1)\/(-5) - -13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 4:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1532.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*a - 4*c, -a - 9 - 14 = 5*c. What is the units digit of (3 - a)\/(1\/95)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**1\/f*f*f**(-1\/3) assuming f is positive.\nAnswer: f**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9863757l?\nAnswer: 986.3757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/12 - 3*c**3\/2 + c**2\/2 - 59*c. Calculate d(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3892 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (2 + (-15)\/(-21)). Let i = 1520 - 1523. Which is the closest to q? (a) -14 (b) i (c) -0.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -944601, -944588, -944575, -944562, -944549?\nAnswer: -944536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let o(w) = -43*w**2 + 16*w**2 + 15*w**2 + 15*w**2. What is k(o(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4639, 4649, 4659, 4669?\nAnswer: 4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225.7 + -231.7. Which is the closest to 0.3? (a) 5 (b) 0 (c) 2\/9 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*l*r**3 + 5321*l*r - 9783*r**3 - 42*r**2 wrt r.\nAnswer: 756*l - 58698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -21*a. Suppose -3*u + 3 = 3*n, a = 2*u - 2*n - 0 - 6. Suppose 0 = 5*k - u*k - 72. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210\/13 - 16. What is the third biggest value in 0.14, 3, b, -0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-18)\/(-12))*24\/(-7) + -16.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*f + 17 = 0, 2*i - f = -0*f + 14. Suppose -i = -8*d - 21. Is (-8 - -6) + (d - -60) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 9*z**2 + 10*z - 12. Let k be f(8). Suppose h + q - 12 - 16 = 0, 3*h - 84 = k*q. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 487bcf - -1?\nAnswer: 487bd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 211428*v. Let h(m) = -m. What is h(x(u))?\nAnswer: u**2 + 211428*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 2*v - 2. Calculate k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyooqbn. What is prob of sequence bylo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(432) + -2 + -1 + sqrt(432) - ((sqrt(3) + sqrt(12))*1 + -1)) + 5.\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 10. Let c be o(13). Let x = -2 + 4. Solve -6*z + z = x*n + 5, c*z - 11 = -4*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4))\/sqrt(5) - (sqrt(112) + 0)**2.\nAnswer: -112 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4604, -1, -313 in increasing order.\nAnswer: -313, -1, 4604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 13. Let f = -2905 + 20337\/7. Which is the closest to f? (a) 3 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37 and 0.11.\nAnswer: -36.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmppmppppgvpgpvgpgp. Give prob of sequence gp.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*j + 23*j + 2*j**2 + (5 - 5 - 2*j)*(8 + 4 - 7)*(7*j - 3*j - 3*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {a: 15, h: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-6) + (-1)\/3. Suppose r - 108 = w*r. Let u be 1 - r\/(3 - 0). Solve 4*v = -v + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5281544, 21126146, 47533822, 84504578, 132038420, 190135354, 258795386, 338018522?\nAnswer: 427804768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*b + 21 = 0, -k - 2*b + 161 - 159 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - 2*l**2 + 2*l**2)*(-3 - 2 - 1) + (-l - 2 + 2)*(0*l - l + 2*l) + 4*l**2 + 0*l**2 - 5*l**2 to the form g*l + c + i*l**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*c**5 + c**4 + 6417*c**3 - 149*c**2 + 11*c - 6283.\nAnswer: 27900*c**2 + 24*c + 38502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.3, 5\/2, 3, -13858?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3418*o**6 + o**2 + 749*o wrt o?\nAnswer: 410160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 + 3. Let a be q(0). Suppose -a*u = 7 + 11. Is (-142)\/u - (-6)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*l + 9, -2*a + 2*l = -0*a - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 117366 - -3?\nAnswer: 117370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {i: 5, v: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 50*x**3\/3 + 29*x**2 - 33*x - 69. Let n(f) be the first derivative of q(f). What is the first derivative of n(i) wrt i?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446312 is divided by 2156?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**2 + 8*f**2 - 5*f**2 + (0*f + 4*f - 5*f)*(-51 + 51 + 17*f) + (-2*f**2 + 4*f - 4*f)*(-2 + 7 - 3).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 29 = -6*w. Let z = -46 + w. Let k = z + 21. Let a(f) = f - 5. Determine a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5\/9 - 3578240*y**4 - 32204156*y**3\/9 = 0. Calculate y.\nAnswer: -8051039, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 3*v + 54 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1033.24 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + 33. Let u = s + 8. Calculate the greatest common factor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q. Let k(x) = 4*x. Let p(v) = -6*g(v) - 11*k(v). Let o(l) = 67 + 63 + 65 - 262 - 129*l + 65. What is o(p(m))?\nAnswer: 258*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + (15 - 16) + -1 - -23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 159 + 93 - 85574*d.\nAnswer: -85574*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 388649.2 + -1.8\nAnswer: 388647.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckfpcdu. What is prob of picking 1 p, 1 c, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131.2 - -84.62. Round k to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:07 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -4 - 4) + 11. Let y(k) = 5 - 65*k - t + 1. What is the tens digit of y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h + 68 + 107*h + 115*h + 14*h**3 - 337*h.\nAnswer: 14*h**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - o**2 + o**2 + (-1 + 2 - 2)*(-o**5 - o**2 + o**2) + 2*o**5 + 0*o**5 + 0*o**5 + 4*o**5 + 3*o**5 - 3*o**5.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -64. Suppose 2*x - 2 = x. Suppose -4*f = -u*f + x. Solve -w - w = f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1457*y + 9. Let i(m) = 15*m**2 + 2. What is f(i(s))?\nAnswer: 21855*s**2 + 2923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.02, 0.3, -82, -394, 5 in ascending order.\nAnswer: -394, -82, -0.02, 0.3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -431.7 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 142*b + 3627. Give u(-26).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*f - 17. Let t = 112 + -107. Calculate the remainder when f is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*i = 2022, -4*v = -18*i + 17*i - 2699. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5349, -5270, -5111, -4872, -4553, -4154, -3675?\nAnswer: -3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -77, 1, 0, -16, -1 in decreasing order.\nAnswer: 1, 0, -1, -3, -16, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -450, -899, -1340, -1773?\n\"Answer: 4*l**2 - 461*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0, -11\/4, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 15. Let l = -6 - i. Let q be (l\/(-4) - 2)\/(-1). Sort 0.4, 1\/5, q in descending order.\nAnswer: 0.4, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279 and 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -120*x**3 - 16019 + 16019. Is m(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 207*t - 3675. Let h(u) = 2*u - u + u**2 + 0*u**2 + 0*u**2. Let l(b) = 3*h(b) + z(b). What is i in l(i) = 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72366*n**2 + 22982*n**2 + 3*n**3 - n**3.\nAnswer: 2*n**3 + 95348*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14301.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6)*(-12)\/200. Let w = 91\/450 - h. Let -w*g + 0 - 2\/9*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 185933 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = -2*m, 5*v = -3*m + 18 - 0. Solve -4*l - m + 26 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2cf3c - 6d?\nAnswer: -2cfa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from cwsswodccrcowcdwrdd?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:09 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 9\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6099892 - 522142*v**3 - 6099892.\nAnswer: -522142*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.6658 decades to months.\nAnswer: 1399.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from ltkukuulukluuukllkuu?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*s - 26. Let d be (-3)\/((-23)\/s + 2). What is the biggest value in d, -3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, 4, 48, 85 in ascending order.\nAnswer: -15, -5, 4, 48, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y + 2*k = 0, 5*y - 15 = k. Let i(h) = -1 + 7*h**2 - y*h**2 - 2*h**2. Let z be i(-1). Solve 0*m - m = -z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -5 - 21. Suppose l + 2*l = -t + 141, 0 = -d*l - 4*t + 94. Factor -16 - l - 2*x**2 + 31*x - 11*x + 13.\nAnswer: -2*(x - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -47. Let r = -1983 - -2040. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**5 - 444*q**4 + 17406*q**3 - 78724*q**2 + 91344*q = 0.\nAnswer: 0, 2, 3, 44, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:28 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -26*c - 19. Let b be w(-7). Let d = b - 72. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005482 to six decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((5 - 2) + -10 + (6 - 7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 8) in base 9?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 18. Let g = 7 - c. Sort g, -3\/4, -0.5 in descending order.\nAnswer: -0.5, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*c**5 + 5656*c**4\/5 + 2766*c**3\/5 - 180*c**2 - 432*c\/5 = 0. Calculate c.\nAnswer: -3\/7, 0, 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.441760252 to four decimal places.\nAnswer: 0.4418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(1*(-2)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(2*(-1)\/(-2)). Let h(u) = -u - 1. Let j be h(-5). Suppose 0*y - y + 73 = j*l, -y + l + 68 = p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 305189\nAnswer: 5\/305189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -0.3, 21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 - n + 2. Let t be s(0). Suppose -6*i - 40 = -52. Suppose t*o + 8 = 4*a - 7*a, o = -i*a - 4. Solve v + 0*v - 4 = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 81*g**2 + 3*g + 81.\nAnswer: -3*(g - 1)*(g + 1)*(g + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -3*q. Suppose 0*h + q*h - 8 = 0. Suppose 0 = i + 3*i - 88. Calculate the smallest common multiple of i and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -350*h + 304. Let a be t(2). Which is smaller: a or -1190\/3?\nAnswer: -1190\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 472\/31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + 1.5. What is the biggest value in m, -0.3, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -344.000000022 + 344. What is s rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 801 = -15*m + 1011. Solve 0 = 3*v + 2*u - m, -21*v = -26*v - 4*u + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*b + 22, 3*b + 606 = -1086*n + 795*n for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 21*q - 65. Suppose 5*c - 10*f = -14*f + 1364, 3*c + 5*f - 808 = 0. Calculate the least common multiple of b(-4) and c.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {v: 2, s: 1, d: 2, a: 3, y: 1, r: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - r = 7, -2*u = u + 2*r + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 186?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 18*c + 25. Determine o(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 - 428*m - 1874. Determine u(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*n + 122, -89 = 3*n + 4*o - 0*o. Let b = n + 36. What is the second derivative of -t**5 + 11*t**b + 6*t - 17*t wrt t?\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let f(r) = -8*r - 3*r + 2*r - 522 - r + 11*r. Calculate z(f(u)).\nAnswer: 2*u - 1044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10408\/86219?\nAnswer: 10408\/86219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 + 170. Let o = -35000.0048 - -34958. Let s = o - p. What is s rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 15. Suppose 5*s + 3*o - 60 = 0, -4*s - 5*o = -28 - 7. Determine y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let b(a) = -2324*a - 2 + 2329*a + x. Let q(z) = -z**2. Calculate b(q(i)).\nAnswer: -5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**3 - 224*q**2 + 22*q - 34. Calculate k(-25).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*j = -29, 0 = -76*c + 81*c + j - 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 521, 520, 519, 518, 517?\n\"Answer: -g + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 2, c: 7, v: 7}. What is prob of picking 1 n and 2 v?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/9 + 6\/9. Suppose -5*r - 18 = -4*k - 2*r, -a*r = 5*k - 5. Is (-3)\/27*-11*k*33 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:57 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 262 = 3*d, 41 = d + 4*m - 53. Suppose 0 = 5*b - b - l - d, -l = -2*b + 42. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133 (base 4) to base 8\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:55 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 3.3?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461249458 to the power of 1\/3, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(10\/7)*t*(t\/t**(-2\/7))\/t*(t**(-4\/5)*t*t)\/t*(t\/t**(-1\/6))\/t*t assuming t is positive.\nAnswer: t**(467\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7510, 15019, 22538, 30073, 37630, 45215?\n\"Answer: a**3 - a**2 + 7505*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 354, 656, 1090, 1698, 2522?\nAnswer: 3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 86*b**2 + 5*b - 21. What is the hundreds digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 915348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 2*k - 1. Let c = 2 - 2. Suppose c*q = 5*q + 5. List the prime factors of w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*r + 58, 0 = -i - 27*r + 3*r + 18*r + 5*r - 6 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (10 + -11 + 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190635 = -33*g - 189612 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225*r**5 + 2*r + 30 wrt r.\nAnswer: -4500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15402445 (base 8) to base 5.\nAnswer: -1401242021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - (-11 - -5)) + 152. Suppose -2*p - 6 = -y, 4*y = 2*p + l - 103. Solve -y = k - 2*s - 2*s, 5*k + s - 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3 and 77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4232 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2719*d + 2724*d = 53460. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -304*h + 10339. Let c be w(34). Suppose -4*v + 9*v - 45 = 0. Let n = 6 + 0. Solve c*m - v = n*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928362643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*b**(15\/7))*b*b*b**(-1\/13))\/(b*b*b*b**22\/b*b)**(-2\/17) assuming b is positive.\nAnswer: b**(4210\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-2)\/((-2)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 420265, 840519, 1260773, 1681027, 2101281?\n\"Answer: 420254*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2*u + 4 = 3*s, -u = -5*s - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a**3*g + 1439534*a**3 + 35*a**2*g + 782*a*g with respect to g.\nAnswer: 5*a**3 + 35*a**2 + 782*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 16 + 18 + 7*j + 14.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/182 + 13\/14. Let c be (1\/23)\/((-13)\/266). Let y = g + c. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*m - 59*m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -24. Let j(z) = z**3 + 5*z**2 + 3*z. Let l be j(-4). Solve 5*s + u - 5*u = 20, 2*s + l*u = -p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - 3*h**4 + 4*h**4 + (-5*h**2 + 11 - 11)*(2*h**2 + 0*h**2 - 4*h**2).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*u = 3*s - 15, s - 9 = -2*u. Let y be s*(-15)\/18*8. Is 393\/5 - 8\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2*p**3\/3 - 7*p**2\/2 - 4*p - 3. Calculate h(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 12*m**2 - 40*m.\nAnswer: 4*m*(m - 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18. Let c(s) = -s + 20. Give -2*c(f) + 3*o(f).\nAnswer: 2*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 9345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 0.233 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 755989624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*j + 28*j + 2 - 38*j as k*j + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77719\/82 + -1895\/2. Let q = 10 - 10. Do a and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924 not equal to 819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h - 2*p + 6 = 73*h, -h = 4*p - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10920 divided by -546.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/16 and (-82)\/8 + (-32)\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (2 + 1 - 10). Suppose -3*r + 2*p - p + 34 = 0, -b*p = r + 6. Let f(s) = -19*s. What is the remainder when f(-1) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 plus -1309?\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 23, 44, 67, 92, 119?\n\"Answer: x**2 + 16*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13973232 - 8690354 = 45*c - 18673637. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*k + 8, -3*k = -n + 70. Let j = n + -54. Calculate the highest common factor of j and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**29))\/(n\/((n\/(n\/(n\/(n**5*n*n))*n)*n)\/n)))\/(n*n**(-2\/33)\/n)**42 assuming n is positive.\nAnswer: n**(-379\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -72.31.\nAnswer: -940.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.97*-0.027\nAnswer: -0.02619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6956.067 - -6956. Which is the second smallest value? (a) u (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(o*(o*o**(-1\/2))\/o))**5 assuming o is positive.\nAnswer: o**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/(j*j*j**5)))*j)*j*j*j**(2\/13)\/j)\/(j**(-2\/25)\/(j*j**(2\/17))) assuming j is positive.\nAnswer: j**(46142\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5048 and 4245999?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 5, -2 in decreasing order.\nAnswer: 5, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n**(1\/8))\/(n\/n**0*n*n)**(-20))**(-29) assuming n is positive.\nAnswer: n**(-14645\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1194*p**5 + 4*p**4 + 53763*p.\nAnswer: -23880*p**3 + 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315068 is divided by 3789.\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (-1 + -3 + 4 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 7\/((-7)\/40). Suppose -5*u + p = 12. Put u, -2, 0 in decreasing order.\nAnswer: u, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*i + 2*x, 0 = -2*i - 3*x + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(1 - 2 + 5)*(2*x - 2*x + 2*x)*(5*x + x**3 - 5*x)*(0 - 5 + 2).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o. Let r(u) = -2178614 + 10*u + 2178614. Let z(a) = a. Let n(c) = c. Let i(y) = -6*n(y) + 5*z(y). Let s(j) = 22*i(j) + 2*r(j). Determine s(f(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-4)\/((-48)\/(-6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:56 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 9*g**2 + 16*g + 22. Let o = 29546 + -29552. Determine l(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 e when three letters picked without replacement from {y: 3, e: 2, o: 1, b: 4, m: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10802 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**3 - 17*t**2 + 5*t + 4. Let q(c) be the first derivative of -7*c**4\/4 + 11*c**3\/3 - 3*c**2\/2 - 3*c - 82. Let r(v) = 5*k(v) + 8*q(v). Give r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24406871 to the nearest integer?\nAnswer: 4940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2376 divided by -44\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose -2*v + 0*o - 28 = 4*o, 0 = -4*v - 5*o - 41. Let r(k) = -10*k - 37. Let s be r(v). Solve d - 2*j - s*j = -8, 3*d + h*j = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.24, 0.1, 0, -1, -3\/154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -454*p**3 + 240196*p**2 - 15870*p.\nAnswer: -2*p*(p - 529)*(227*p - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-7)\/(14\/8). Let s be ((-24)\/f)\/((-3)\/(-4)). Let o(k) = -3*k - 3. Let q be o(s). Solve x - 2 = -q*y + 15, -5*x - 15 = -5*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -23*r**4\/24 + 4*r**2 + 40. Let z(h) be the second derivative of t(h). Let o(c) = -2*c. What is z(o(l))?\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.028 (c) -2827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4434)\/(-10) + -1*(-3)\/5. Suppose -w = -3*t - 72. Suppose 4*a + p = 235, 96 = 4*a - 4*p - t. What is the lowest common multiple of a and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566407004.\nAnswer: 2, 29, 4882819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 27*d**2 + 109*d + 10. What is y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/3*n**2 + 6*n**3 + 16\/3*n + 0.\nAnswer: 2*n*(n + 1)*(9*n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/7 of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1 + (-117)\/108) - (-70)\/(-264)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, f: 4, u: 3, j: 3, k: 6}. What is prob of sequence julf?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*sqrt(39)\/(sqrt(3) - sqrt(108)) + 0)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 4 - 4)*(0 - 3 + 1)*((-5*s + 0*s + 4*s)*(-3 - 2 + 2) + 55*s + 26*s + 5*s).\nAnswer: -712*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*17\/(5202\/34).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/40 - a**4\/24 - a**3\/3 - 2*a. Let x(z) be the second derivative of q(z). List the prime factors of x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 107 + 57 + (1 + 4 - 4)*(5 + 0 - 4))*(-1 + 0 - 1)*(-3*f**2 + 6*f**2 - 4*f**2)*(-f**2 - 4*f**2 + 4*f**2).\nAnswer: -52*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 5. Let r be m(4). Let j be (7\/(196\/(-192)))\/(18\/(-945)). Let a = -360 + j. Are r and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2388194 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4\/3 (c) -21180.61 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197011469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -4\/5 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h**3 - 2*h**2 + 2*h - 1. Suppose -2*n - 3*n + 5 = 0. What is the lowest common multiple of i(n) and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 - 2*a**3\/3 + 315*a**2. Calculate l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/((-3)\/27). Let w be (-5 - -3) + 13 + 1. Let u = w + -12. Which is the closest to u? (a) 5 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3099 + -738. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12916, 12912, 12906, 12898?\nAnswer: 12888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 + 4*p + 4. Determine y(6).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11178961 and 3482.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*sqrt(612))**2*-1 - (sqrt(612) + 6*-1*sqrt(612))).\nAnswer: -5509 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 3d?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d. Let u be m(-4). Let -15*l + u*l**3 - 6*l**2 + 12*l**4 + 3*l**5 - 8 + 2 + l**4 - l**4 = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) - (-40)\/42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-30)*6\/(-21). Suppose k + 10 = -5*y, -42*y + 40*y - 22 = 4*k. What is the closest to y in 1\/7, h, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -9) + 19 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/((-16)\/6)*40.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66818229.\nAnswer: 3, 67, 401, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9 - 7)*(3 - 3 + 2*a**2).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10022869?\nAnswer: 10022869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3365, -4, 3 in ascending order.\nAnswer: -4, -2, 3, 4, 3365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:41 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 3*q**2 - q - 1. Let a(t) = -t**2 - 3*t + 1. Suppose 3*z - d + 7 = -6, 5*z = -2*d - 7. Let o be a(z). Give k(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*w - 242*w = -46 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -1, -1\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1464 - -2712. Suppose s + 276 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2000, 4984, 8942, 13874?\nAnswer: 19780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01197, -4\/9, -2\/7, 63?\nAnswer: -0.01197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(7344556 - 7344556 - 7916*o) to the form j + q*o and give q.\nAnswer: -15832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-10 - 3 - (-30 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 12*b. Let r(i) = -10870*i. What is x(r(j))?\nAnswer: -118156900*j**2 - 130440*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023280071 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d = 5*d + 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.075808 - 71261743.\nAnswer: -71261742.924192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44527878?\nAnswer: 2, 3, 167, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, 41, -4?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3097 and 90139?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*y + 101 = -299 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/146 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 13*d + 4. Let r be t(11). Let o = r - -18. Let l(f) = f**2 + f - 9. Give l(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*r**2 - 154 - 175 - 80*r - 149 + 478 to the form w*r**2 + s*r + j and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 2*n**2 - 4*n + 3. Let u be k(3). Suppose 2*r - 8 = 2*m, -4 = -4*r - 2*m - u. Suppose -r*b + b = -6. Solve b*o - 12 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + p = -56, 5*p + 98 = 3*w - 0*w. Let f be (-112)\/(4 + -11)*(-39)\/(-6). What is the highest common factor of f and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*l - 290 + 40, -5*b + 245 = -3*l. Let x(y) = -y - 4. What is the remainder when b is divided by x(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30057 divided by -30057?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -22*g**3\/3 + 8*g**2 + 22. What is the second derivative of f(i) wrt i?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53524 + 125?\nAnswer: -53355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 5) to base 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757980?\nAnswer: 2, 3, 5, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 15*l**2 - 52*l - 4. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.051 - 14\nAnswer: -14.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5)*p\/p**0)\/((p*(p*p\/(p\/(p**(-2\/13)*p)))\/p)\/(p*p**(-1\/8)))*((p*p**0)**(1\/3))**(-44) assuming p is positive.\nAnswer: p**(-5815\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*z - 7*z + 283, -2*i - 5*z = -120. What is the second derivative of -96*a**4 - i*a**4 + 244*a**2 + 163*a - 53*a**4 - 245*a**2 wrt a?\nAnswer: -2448*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**2 - 5*d**2 - 10*d**2 + 27*d**2.\nAnswer: 47*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.3, 3793, 3 in decreasing order.\nAnswer: 3793, 3, -19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 2 - 6)*3. Let h(b) = 6*b - 14. Let v(y) = y. Let l(a) = h(a) - 8*v(a). Let g(n) be the second derivative of -n**2\/2 - n. What is d*g(i) + l(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/28)\/5*20\/(-4)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103.3 + 103. Let l be (-1)\/(-22*1\/4). What is the fourth smallest value in -2\/13, l, -4, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riii when four letters picked without replacement from {i: 2, r: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62\/(-6) - (-12)\/36. Let r be 3\/(-15) - p\/25. Which is the nearest to r? (a) -0.2 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2735 + -89?\nAnswer: 2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12*-26.4\nAnswer: 316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05157864052 to four dps.\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**6\/240 - 7*i**5\/120 + i**4\/12 - i. Let t(x) be the third derivative of d(x). List the prime factors of t(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 5*w**2 - 6*w + 1. Let y be v(-6). Let g be (3\/(-6))\/(y\/(-4)). Let d(l) = 6*l - 2. What is d(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2. Let w(n) = -7*n**3 - 5*n**2 - 2*n. Let p(l) = 10*h(l) + 2*w(l). What is the second derivative of p(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-224))\/(3\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, 0.1, -3, -2194, -2.94?\nAnswer: -2194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 75 + 38 = -2*l, 0 = -3*d - 3*l + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 5*m + 3*m + 2*m. What is the remainder when i(7) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - (-748)\/28. Suppose -2*v = -1 - b. Calculate the remainder when (18\/8)\/(3\/72) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -505*f**6\/6 - 3*f**2\/2 + 455*f + 3296. What is the second derivative of y(s) wrt s?\nAnswer: -10100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 2*m**3 - m**3)*(776*m + 790*m - 1434*m).\nAnswer: 132*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 622 + 618, 2*p - 2*f - 14 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/90)\/(70\/(-945)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/3 - 4*c**4 = 0. Calculate c.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/30 + 145*w**2. Let v(i) = -i - 6. Calculate y(v(m)).\nAnswer: 2*m**2 + 24*m + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0*w)**46*w\/(w\/w**(-2\/15)*w)*w**(-1))**(-1\/2) assuming w is positive.\nAnswer: w**(-674\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h - 2. Let n(f) = -f**3 - 7*f**2 - 2*f + 1. Let j be n(-7). What is the common denominator of -37\/4 and (-26)\/j + h\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12406341, -0.3, -2\/9?\nAnswer: -12406341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 12*t**2 + 20*t - 4. Let o be p(15). Let a = -105 - o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 + 12*i**2 - 20*i**3 - 24*i**2.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - -31. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - c**4 - 2*c**4 + (-5*c**2 - 4*c + 4*c)*((-15 + 15 + 40*c)*(c + 3 - 3) + 4*c**2 - 4*c**2 - 2*c**2).\nAnswer: -191*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-845)\/962)*(-300)\/42. Which is the third smallest value? (a) -2 (b) -6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 12*n**2 - 15. Let w(d) = -d**3 - 17*d**2 - 33*d - 33. Let k = -793 + 778. Let c be w(k). What is y(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.14178 years in months?\nAnswer: 913.70136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 1472.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 18. Let z be s(12). Find the common denominator of 46\/39 and ((-35)\/4)\/(z\/24).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 - 22 + 4*j**2 + 3*j**2 - 16*j**2 - 15*j. Let t be u(-13). Suppose -2*a - 2*b + 228 = 0, -3*a + t*b + 312 = 5. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let n(l) = -1882*l - 53*l - 697*l - 71*l. Determine r(n(o)).\nAnswer: 14612418*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 35. Suppose 8*w = o*w + 6. Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8, 3*y + 84 = 6*y - 3*n. What is the derivative of -y + 27*m**3 - 2*m**3 + 51 wrt m?\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10)\/(45\/12)*(-70)\/(-126)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00343027717 rounded to 5 dps?\nAnswer: -0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 0.146 (b) -0.2 (c) -210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23467, 46931, 70395, 93859, 117323?\n\"Answer: 23464*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -28.76\nAnswer: 86.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -215, 0.5, 37, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -771*r + 45895. Give w(59).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o + 11. Let y(c) = c**2 - c. Let s(b) = a(b) + 2*y(b). Let u be s(-7). What is the highest common divisor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*30\/40*-5*(-4)\/390?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -742, -732, -708, -664, -594, -492?\n\"Answer: m**3 + m**2 - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 180.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3) + 1)\/(700\/(-210)). Is t at least 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258306.\nAnswer: 2, 3, 43051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 120199250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 239796143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24391.\nAnswer: 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -1310, -4044, -9288, -17882?\nAnswer: -30666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:57 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 515 (base 14) to base 3\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -906*c**2 - 671*c**2 - 606*c**2 - 1412*c**2 - 1 + 921*c**2 to the form r + b*c**2 + u*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3)*j*j)\/(j*j**1\/j*j)*(j**0*j)**(10\/11))\/(((j**1*j*j)\/j*j\/j**(1\/3))\/(j\/(j\/((j*j\/j**(1\/3))\/j)))**(1\/3)) assuming j is positive.\nAnswer: j**(-350\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 420, 404, 374, 324, 248, 140, -6, -196?\n\"Answer: -s**3 - s**2 - 6*s + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 423569 times 0.125\nAnswer: 52946.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**3\/6 + 7*l**2\/2 - l. Let v be (-4 - -3)\/((-2)\/(-12)). Let z be j(v). Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = 0, -2*y - n - 2 = -3*y. Solve l + y = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (-20 - (-5 + (17 - 20))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76745997*h**3 + 2017406*h**2 + 23 wrt h?\nAnswer: -460475982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 1, l: 1, b: 3, j: 1, h: 12}. What is prob of sequence lb?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - k)*(-5*k + 0*k + 4*k) - k**2 + 3*k**2 + 2*k**2 + 2*k + k + 7*k**2 - 10*k**2.\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/858 + 14\/(-13). Is 10*10\/(6 + c) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*g**3 - 26*g**3 + 62*g**3.\nAnswer: 85*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2838980*l*y**3 - 54*l*y**2 - 2192*y**2 wrt y?\nAnswer: 17033880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9, 264502 in ascending order.\nAnswer: -3, -2, 9, 264502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 42 = 3*x, 6*p - 3*p = -4*x + 56. Suppose 3*n + 4*m = -0*n + x, -3*n - 5*m + 19 = 0. Sort n, -4, -1, -29 in decreasing order.\nAnswer: -1, n, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476986.\nAnswer: 2, 1738493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -554378 by 5.\nAnswer: -554378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + (-1*-1*sqrt(6))\/(sqrt(3) + sqrt(12)*-4) + 5))**2.\nAnswer: -10*sqrt(2)\/7 + 1227\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*q + 108 - 0. Solve 4*p + 4*g - 12 = 0, -q*g + 16 = 3*p + 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Let r(m) = 7*m + 58. Let p be r(-8). Let a(i) be the third derivative of 0*i - p*i**2 - 3\/8*i**4 + 0*i**3 + 0. Give a(x(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*x - 12 = 0, 2*y + x + 7 = y. Let q be ((-7)\/56)\/(y\/4). Factor -q*b + 1\/4*b**3 + 1\/4*b**2 + 0 - 1\/4*b**4.\nAnswer: -b*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2877097 to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4505, -4510, -4519, -4532, -4549?\n\"Answer: -2*w**2 + w - 4504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 13*y**2 - 5*y - 20. Is 5 a factor of x(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 2. Let b(s) = -6*s + 6. Let n = 1 - -2. Let p be 12\/(0 + (-3)\/(-2)). Let h(j) = n*b(j) + p*o(j). Differentiate h(y) with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4636 - 2\nAnswer: -1.5364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -11. Suppose d - i = -3*d. Let g be (-16)\/26*2\/8. What is the nearest to -1\/2 in g, d, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + 13*l - 12. Let c be a(5). Let z = -132 + c. Let x = z + -69. Calculate the greatest common divisor of x and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let h = 2 - x. Let n = 13.1 - 12.8. What is the nearest to -1 in h, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-10)\/4 + -2. Suppose 4 = 4*d - 4. Suppose d*i - 179 = -5*k, -5*k + 2*i - h*i = -177. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8960 and 8720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 6. Suppose -7*g = -139 - 15. Calculate the lowest common multiple of g and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246399 a multiple of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20891385 a multiple of 2295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156015?\nAnswer: 3, 5, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508130.\nAnswer: 2, 5, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 345\/(-4)*34344\/(-318)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvdvpvpdwwpvvcdp. Give prob of sequence wvwv.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u)**31*u**(2\/9)*u**1\/u assuming u is positive.\nAnswer: u**(281\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 16*p - 16. What is n(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 1 - 1)\/(3\/15). Suppose -2*p - 3*p - h = 0, -n + 48105 = -p. Round n to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - 19\/(-5). Let k = -4 - 22. Let c = k - -77\/3. What is the third smallest value in c, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14494 divided by -7247\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7929044.\nAnswer: 2, 269, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19280 + -19278. Let x(y) = 121*y + 13. Let n(b) = 30*b + 3. Calculate g*x(a) - 9*n(a).\nAnswer: -28*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/1493?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 781*f**2 + 946*f**2 - 1396*f**2 + (-1 + 3 - 4)*(f**2 + 0 + 0).\nAnswer: 329*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126732 at most 633653\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2 (b) 2 (c) -0.4 (d) -3\/2 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 = 99. Let b be ((-16)\/4 + -1396)*h. Round b to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 37 - (19 + -12) - (-2 - 5).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 771469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -59*t**2 - 9*t + 32. Let j(b) = 120*b**2 + 18*b - 72. Calculate 4*j(i) + 9*q(i).\nAnswer: -51*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11 and 45\/1046?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/4789 - -4519\/1293030. Which is greater: d or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*((-248)\/31)\/(-23 - -1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 17 = 130. Let y = 117 - 113. Let a(u) = -36*u - 21. Let n(z) = 7*z - 2. Let m(l) = 7*l - 1. Let h(c) = 6*m(c) - 5*n(c). Determine f*h(t) + y*a(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/4 - -1 - (-4277)\/12502*38.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1937461\/635 - 15253\/5. Let s = g - 4597\/1270. Calculate the common denominator of 1\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-16988)\/(-6))*(-14 - -56). What is g rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1167?\nAnswer: -116a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 729284 = 26*s + 6*s. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21488*v + 21513*v - 43101*v.\nAnswer: -100*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 - 4*m - 83. Let v(g) = -6*g**2 - 3*g - 82. Let f(x) = -2*v(x) + 3*z(x). Differentiate f(c) with respect to c.\nAnswer: -12*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348086 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132, 268, 404?\n\"Answer: 136*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14742 and 38?\nAnswer: 280098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -525.84547564.\nAnswer: -527.84547564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89490 and 589.\nAnswer: 2774190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04094246138 rounded to 6 dps?\nAnswer: 0.040942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from qauqnuqdqaqbnqbbqqqb?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Find the first derivative of f**g - 1 - 6 + 2 wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (23 + -5 - 17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(6\/36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2202\/11 - 200. What is the nearest to -2\/5 in r, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32*(-1)\/2 - -2 - 12\/(-2). Solve 146 = -c*m + 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 + 12 = 0. What is the remainder when 21 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805, 1095, 1387, 1681, 1977, 2275, 2575?\nAnswer: 2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 723*b**2 - 317*b + 5 wrt b.\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p. Let v(f) = -11*f + 1. What is -9*i(g) + 4*v(g)?\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 less than -203?\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17192285 is divided by 2152.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832.8039 millimeters to centimeters.\nAnswer: 83.28039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/2, 17, 0.1, 1\/15, 2, 1.8?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let i be (1 - 0)*z + 4. Suppose -2*w = -2*f - w + 1, 4*f + i*w + 3 = 0. Solve 2*u = -2, 4*d + f*u + 6 = -2*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 357 - p + 3*p**3 - p**3 - 347 + (-p**2 + 3 - 3)*(3 - 3 + p).\nAnswer: p**3 - p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1556.61 millilitres to litres.\nAnswer: 1.55661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 382923313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.39735 rounded to two decimal places?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58240754 and 5294614.\nAnswer: 58240754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1207*y + 86.\nAnswer: 1207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/1 - (-1)\/(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -521 + 518. Let a(c) = -c**3 - 5*c**2 - 3*c + 4. Let q(l) = -3*l**3 - 16*l**2 - 10*l + 13. Let v(d) = 7*a(d) - 2*q(d). What is v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 2*j + 38, -4*r = -j - 64. Let x be (-1046)\/(-6) - 5\/r. What is the highest common factor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28950 - -33426. List the prime factors of l.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*v**2 - 5*v + 17*v**4 - 42*v**2 + 1 + 7*v as m*v**2 + j*v**3 + z*v**4 + i + x*v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 207250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 321894 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461 divided by 1?\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - 384*i**5 + 144*i**2.\nAnswer: -120*i**3 - 23040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*d - 32. Let i be (56\/(-10))\/7 - 6\/d. Let w = -0.6 - -1. What is the closest to -3\/4 in 2\/9, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 19. Suppose -7*t + 10 = -y*t. Suppose -t*x + 5*x - 2763 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and 9389986.\nAnswer: 629129062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 151335310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3289*u**2 + 2 - 3350*u**2 + 5 to r*u + c + z*u**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s*s\/s**10*s)\/s*s)*s\/(s\/s**(-8)))**(-21) assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - 1) - (5 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5500 (base 7) in base 6?\nAnswer: -13024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 - -2) + 0)*1. Suppose 5*b = x - 30, 25*x - 24*x + 20 = -5*b. Solve -5*t = -10*t + a - d, x*t + a = -15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26520648 by 2486.\nAnswer: -10668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:18 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1957879535 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9951*d**3 + 8281*d.\nAnswer: 59706*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 4*d**2 - 2*d - 3. Let a be u(-4). Suppose -4*g + g = -4*x + 25, 3*g = 3*x - 21. Suppose -5*w - 4 = -w. Sort x, w, a.\nAnswer: w, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174 + 18*i - 174 to y*i + q and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 12163308*o - 24326624.\nAnswer: 2*(o - 6081656)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -12, 2, 4, 5 in ascending order.\nAnswer: -12, 2, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*2 - -10. Let y = -5 + r. Calculate the lowest common multiple of 1 - (0 + y\/(-2)) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376449 take away 0.015?\nAnswer: 1376448.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 7*f + 629. What are the prime factors of 18\/12*f\/(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183753731*d - 524960544 wrt d?\nAnswer: 183753731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0131 + -0.01. Round k to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 165006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 + w**5\/20 + 5*w**4\/24 - w**3\/3 - w**2. Let i be b(4). Let t be (-6)\/21*(-1764)\/168. Solve i*r + r = -t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*b**4 + 3*b**4 - 4*b**4 + (-1051*b + 1051*b - 122*b**2)*(-b**2 - b**2 + 0*b**2).\nAnswer: 267*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-336)\/5 - (-2)\/10. Let h = r + 125. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2784551839 - 1.1\nAnswer: 2784551837.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 4. Let w be b(4). Suppose 7 = -9*f + 43. Suppose d - f = -4*d - 4*z, -2*d - 4*z = 8. Put d, w, -5 in increasing order.\nAnswer: -5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -5, -4*p + 2588 = 5*j. Let k = 646 - p. Solve 0 = -y + k*i, 5*i + 2 = -5*y - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 894*d**2 - 605*d**2 + 869*d**2 - 132*d + 132*d + 505*d**2.\nAnswer: 1663*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -379 + 378.97472. What is h rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61736.074 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22893 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17031)\/2841 - (-186)\/31. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -18.8. Which is the second smallest value? (a) 0 (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, v: 12, a: 3}. What is prob of picking 1 v and 2 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -20*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 205. Suppose -5*i = -2*t, -2*t - 12 = 3*i - y*i. What is the nearest to -0.1 in -0.4, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -2 - ((-159903)\/13734 - 1\/(-7)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + 1) - (-3 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbd when three letters picked without replacement from jjzjhhdhhjjbjjhhzjhj.\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-15)\/36)*-1. Let u = s + 25. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20008 = -184*s - 20560 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.96 and -22987504326?\nAnswer: 22987504336.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2841872*a**3 + 6026887*a**3 - 1543055*a**3.\nAnswer: 7325704*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**2 + 1. Does 12 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 100 = -10*q. Suppose 0*a = -a + 4. Suppose -2*t - a = -18. What is the remainder when q is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*x - 0. Suppose 0 = -b + 3*b - z + 37, 0 = 2*z + x. What is the tens digit of (-807)\/(-12) + (-15)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123455670 by 26.\nAnswer: 4748295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005535 to seven dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 93*q**3 + 297*q**2 - 2997*q - 8910 = 0 for q.\nAnswer: -5, -3, 6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 45*z = 3510190. What is z rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 36. Suppose -11 - r = -2*w. Let d(f) = -2*f**2 - 16*f - 19. Calculate the smallest common multiple of w and d(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1634 and 215.\nAnswer: 8170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxfwffxxxxfxx. Give prob of sequence wxw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3*r**3 + 96*l**3*r - 4*r**4 wrt r?\nAnswer: -24*l**3*r - 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -623\/10 - -116497\/1870. Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 166, 259, 372, 511, 682, 891, 1144?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = 5*y, -450*i - 1 = -453*i + y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46255 - 4*p**3 - 7344*p - 8177 - 41*p**2 - 271*p**2 = 0. Calculate p.\nAnswer: -42, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38218050\/3409 - 78476\/7. Let h = 35007\/7792 + z. Find the common denominator of 15\/64 and h.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193617217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 185119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 20*n**5 - 20*n**4 - 26*n**3 + 31*n**2 - 5*n + 11. Let z(y) = -4*y**5 + 4*y**4 + 5*y**3 - 6*y**2 + y - 2. Let o(p) = -2*c(p) - 11*z(p). Factor o(l).\nAnswer: l*(l - 1)*(l + 1)*(2*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*p + 288. What is the greatest common divisor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 141. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2954 - -20719\/7. What is the common denominator of k and 12524\/(-31)*2\/(-80)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from yyggyggyggygg.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 10*w**3 + 6*w**2 - 18*w.\nAnswer: 2*w*(w - 1)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 46. Let f be v(16). What is the greatest common factor of 120 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 8*v - 90*v**3 - 11*v + 4*v - 1 + 89*v**3. Let z(j) = -3*j**3 + j**2 + 11*j - 11. Let h(a) = -2*k(a) + z(a). Give h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(49\/(-511)) - 3. Factor a*n**2 + 8\/3 + 275\/3*n**3 + 125\/3*n**4 + 68\/3*n.\nAnswer: (n + 1)*(5*n + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 13602.8?\nAnswer: -13607.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - o = 35 + 50, 5*c + 4*o = -120. What is the thousands digit of ((-60)\/(-8))\/5 - 21110\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(8) - sqrt(245)*3)**2.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5696841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 133350530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 19. Let c be r(-24). Let n(k) = -k**3 + 8*k**2 - 3*k + 2. Let v be n(7). Let i = -30 + v. Put 3, c, i in decreasing order.\nAnswer: c, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y + n, -4*y + 3*n + 8 = 0. Let k = y - -3. Suppose 2*g = -p - p + 2, -k*g - 1 = 5*p. Solve -3 = g*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (-7 - 5) + 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98651946*j**3*m**3 - 29*j**3*m**2 + 2*j**2*m**2 + m**2 - 62625*m wrt m.\nAnswer: -591911676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(44))\/(sqrt(4) + sqrt(24)\/(sqrt(6)*-2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + 4 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 90*i. Let m(z) = -7*z - 18. Let n(l) = -195*l - 507. Let v(f) = -169*m(f) + 6*n(f). Determine p(v(h)).\nAnswer: 1170*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*h - 28 + 4, 0 = 4*m + h - 33. Suppose -2*c = 3*o - 0*o - 961, -3*o = m. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8308*r - 7626*r - 382450 = 318646 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 68, 135, 226, 341, 480, 643?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/5 - (-4)\/8*-10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15336 by 10.\nAnswer: 7668\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2624, 10929, 24738, 44051?\n\"Answer: 2752*q**2 + 49*q - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.5. Let x be (2\/3)\/((-12)\/(-54)). What is the closest to -1\/2 in -2\/11, c, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*g**3*t**2 - 2*g**3*t - 6*g**3 - 3*g**2*t - g*t**3 - 647*g*t - 37*g + 374756*t**3 - 5*t wrt t.\nAnswer: 70*g**3 - 6*g*t + 2248536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t. Let b(f) = f**3 - 4*f**2 - 7*f + 12. Let c be b(5). Let w(a) = a. What is c*p(i) - 4*w(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6114 + 17284. What are the prime factors of g?\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223600 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 2*b - 2. Suppose n = 2, 3*n = -l + 6*n - 3. Suppose 4*m + m + l*h = 3, 0 = -m - h - 1. Calculate f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -2 (c) -1 (d) 0.1 (e) 0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13 + 4 + 176108*t - 176083*t. Give d(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -965, -3298, -7855, -15380?\n\"Answer: -124*f**3 + 4*f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 170 = -3*z, -2*z = -5*v + 9*v - 108. Calculate the remainder when 240 is divided by z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14675, -58697, -132067, -234785, -366851, -528265?\nAnswer: -719027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2 - 11) - 15\/(-9). Factor 0 + 2\/7*m**r + 0*m.\nAnswer: 2*m**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 l, and 1 t when four letters picked without replacement from ulcunuuclnlult?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5799510*p**2. Let o(c) = 24*c**2. Give o(b(k)).\nAnswer: 807223589762400*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220399 and 4?\nAnswer: 881596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 376 - -183. Which is bigger: i or 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1460 divide 954968480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20774169 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-434 - -387) + (-4 - -4) + -3.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 1. Let n(i) = 2*i**2 + 1. Calculate -2*h(q) - 3*n(q).\nAnswer: -4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/3 + 7294*i**3\/3 + 58466*i**2\/3 + 51170*i\/3 = 0.\nAnswer: -7, -1, 0, 3655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5473800*l**5 - 120*l**2 - l - 3665 wrt l.\nAnswer: -328428000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 182. Suppose -178 = -p*y + 73*y. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/8 - 3\/(63\/(-182)). Let u(t) be the second derivative of t + 7\/6*t**4 + 0*t**2 + 0 - s*t**3. What is the second derivative of u(a) wrt a?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201011020 + -201011?\nAnswer: -201212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.67 + -26.33. Let t = h + 26. What is the nearest to 0 in -0.1, t, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.033 (b) -4 (c) -2\/5 (d) -5\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -8*b - 3. Let r = b - 3. Let v(g) = -g - 6. What is v(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-231 + 83*c + 231)*(36*c - 69*c - 21 + 32*c) to the form z*c + y + r*c**2 and give z.\nAnswer: -1743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**8\/1344 - q**7\/210 - q**6\/96 - q**5\/120 + 5*q**2\/2 + q. Let p(u) be the first derivative of t(u). Factor p(n).\nAnswer: -n**2*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*-3 + (-2)\/(-2). What is the common denominator of (71\/(-10) - -3) + 3 and (1 - 167)*(-1)\/l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551152 and 15662248.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45137\/3709 or 11?\nAnswer: 45137\/3709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7317\/53 - -138. Let s(g) = g**2 - 2*g - 2. Let l be s(3). Is l at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*(-2433 + 10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-60)*(2 - 15 - -15)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2*s + 2*s, -3*s = -3*k + 3. Suppose -36*n - 33 - 3 = 0. Put n, -3, k in ascending order.\nAnswer: -3, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/3, 3, -0.01, -1.\nAnswer: -1, -0.01, 0.3, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. What is the closest to 1 in u, 2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 9*z**2 - 8*z + 4. Let x(f) = -6*f**3 - 14*f**2 + 13*f - 7. Let q(k) = 8*b(k) + 5*x(k). Calculate q(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*f + 15033 = -378*f - 279*f - 822 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2235, 3, -8, -3, -18, -4 in ascending order.\nAnswer: -2235, -18, -8, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1395 + 1405. Solve 0 = -o*y + 14 + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1584) + -1 - sqrt(1584))**2*1*1.\nAnswer: 72*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*-1*(0 + 2). Suppose q + 3 + 4 = 0. Let c(m) = m**2 + 7*m + 2. Let w be c(q). Solve -g - k = -w*g - f, 5*k - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*j - 56*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 6*c - 6. Let d be x(-4). Let h be (-1)\/(d + -3) - -4. Let p = 2 + 18. What is the greatest common factor of h and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 - 0. Let f(w) = -w + 3. Let q be f(y). What is the third derivative of 2*o + 3*o**q - 11*o**4 + 15*o**4 - 2*o wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16509 is divided by 192.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-35)*u))*u\/(u\/(u\/(((u**(-36)\/u*u)\/u)\/u))))**32 assuming u is positive.\nAnswer: u**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -831 + 742. Do -359\/4 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380241 divided by 1?\nAnswer: 380241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/(-15))\/((-1)\/3). Suppose 2*d = -g - 7, -4*d + 0*d - m = 5*g. Let p = 4 - g. Put -1, 3, p in descending order.\nAnswer: 3, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -119, -230, -339, -452, -575, -714?\n\"Answer: -i**3 + 7*i**2 - 125*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20673, -20745, -20817?\nAnswer: -20889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-621)\/(-33) - (-4)\/22. Suppose x - o = 2. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p = -126*p - 450 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0422693715 - 27?\nAnswer: -26.9577306285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 6:32 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, -15, -229, -675, -1431, -2575, -4185?\n\"Answer: -13*z**3 + z**2 + 28*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3*y + 11. Let z(f) = 2. Determine -p(a) - 2*z(a).\nAnswer: a**2 + 3*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -0.09, 36, -5, -0.16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5007354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:24 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryot when four letters picked without replacement from {t: 2, r: 6, y: 3, o: 3, l: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*x = -26, -2 = -2*u + 3*x - 1. Solve -u*s + 4*a - 36 = 0, 2*s - a + 19 - 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 7*h + 23. Let i(c) = c**2 - 8*c + 24. Let q(s) = 4*i(s) - 3*r(s). Let n be q(6). Let o be 1*n - (-204)\/17. Solve 4*u - o - 7 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49282 + -84982. What is n rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11095637 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1087180 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131701 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*k**2 + 410*k**2 + 643*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 3. Let p = -13 - -7. Let g(f) = -2*f + 5. Let j(k) = p*g(k) + 10*d(k). Let u(q) = 2*q - 2*q + 2*q. What is u(j(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 - 171*m + 24. Let i be j(17). Solve -31*x - i*x = 76 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 640025173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 27*l**2 + 14. Let k(n) = -6*n**3 - 2*n**2 + n + 1. Calculate the remainder when k(-2) is divided by m(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50663605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 + 400*u**3 + 22476*u**2 + 236592*u - 259470 = 0.\nAnswer: -93, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -537*s + 27. Suppose -5*m - 3 = 37. Let u be b(m). Suppose -2*j - 203 = 2*d - 3069, -3*d = -3*j + u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 5*b**2 - 37 - 4*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 24*l**3 - 24*l**3 + (3 - 3 + l**2)*(l**2 - 3*l**2 + 4*l**2))*(-41 - 2*l - 41 + 95).\nAnswer: -6*l**5 + 39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -18. Let s = w + 7. Sort 2, s, 4.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8, -7*k = 5*p + 201 - 694. Solve -10*f - 13*f = -k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204*(-12)\/360*-5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6)*(-27)\/18. Which is smaller: z or 45?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 22 + 8 = 4*u + 20, m = -2 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 121*s**5\/12 - 333*s**3\/2 - 7*s**2 + 112. Differentiate l(t) with respect to t.\nAnswer: 1210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69951177.\nAnswer: 3, 7772353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -364 - -274. What is the units digit of (9 + (-123)\/6)*v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767.4691 tonnes in kilograms?\nAnswer: 767469.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606181 is divided by 346?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-6))\/(220\/(-12870)*78).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 415*z**3 + 26*z**2 - 5*z - 10. Let j(a) = 207*a**3 + 10*a**2 - 2*a - 4. Give -2*f(c) + 5*j(c).\nAnswer: 205*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -43, -48?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 37*b**5\/4 + b**4\/24 - b**3\/6 - 29*b**2. Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -1)*3\/(-2). Suppose -3*a + 3 = -6. Suppose -z + a*z = 8. Put 0, h, z in ascending order.\nAnswer: 0, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + (8 - 3) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 <= 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(196)*1 + sqrt(196) - 5*(2*sqrt(196) + sqrt(196) - sqrt(196)))\/(sqrt(7)*1*-3 - (sqrt(252)\/sqrt(4))\/sqrt(9)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/48615320 and -1\/3739640.\nAnswer: 48615320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639 and 554297.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/48 and -9\/108781.\nAnswer: 5221488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100100101010000101 (base 2) to base 12\nAnswer: 72a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaia when four letters picked without replacement from aiiaaiiih.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 - 2. Let g be w(4). Let p be (-6)\/(g*(-6)\/(-8)). Suppose -33 = -p*a + 15. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4659 - -10560. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 2997030.\nAnswer: 53946540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374 minus -1369403?\nAnswer: 1372777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/49 - 2\/2. Let q be ((-14)\/(-36))\/(-7)*4. What is the closest to r in -1, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286 - -2578\/9. Is -1 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 12 = l + 11, -l + 15 - 14 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2062, -16287, -54870, -129985, -253806, -438507?\nAnswer: -696262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110159*v**5 + 300*v**4 - 39632544*v wrt v?\nAnswer: -2203180*v**3 + 3600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -541 + 3789\/7. Which is smaller: 0.029 or v?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmmmmmmmmmmmmmwm. Give prob of sequence mwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-30))\/((-144)\/(-90) - 2) - (-40)\/(-10)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 27 = -16*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3888 + 2069 + 2457)*(-4*d**3 + 2*d**3 + 3*d**3) - 2*d - 2*d**3 + 1 - 1.\nAnswer: 636*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2))\/2 - -14. Solve 5*y + 11 = -z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 754*((-196)\/(-496))\/(-7). Let t = l + 85\/2. Let b = -61 - -249\/4. What is the third smallest value in -2, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 144*g - 17 + 54 - 17 to the form m*g + h and give m.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1196)\/(-312) - 2\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 32*m**2 + 204*m + 2. Let u be i(-23). Let s(n) = 4*n + 40. Let y be s(7). Are u and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -38. Suppose -54 = -11*f + h*f. Calculate the least common multiple of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 39 = 3*r, -12*r = -10*r + 5*t - 15. Let a be 7 - (-1 + r\/6). Is 7 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**3 + 8*b**2 + 6. Let a(k) = -63*k**3 - 6 + 13 + 9*k**2 + 72*k**3. What is -6*a(c) + 7*o(c)?\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*27 - (-45360)\/(-945)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/6 - 2\/6. Let b = 31 - 30.8. What is the nearest to b in -2, -5, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7362*t - 4585.\nAnswer: -7362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34135919953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 + -1357\/5. Let f = 34 + -19. Let d = f - 11. What is the nearest to 1 in x, d, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28210 by -1085.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 + 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 26 = 41, 3*b = o - 247. Suppose -5*r = -272 + o. Solve -4*p + 12 = r*g, -7*p + 20 = -2*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4617 is divided by 908.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**5\/5 - 2. Let z(i) = -8*i**5 + 2*i**4 - 16*i**2. Let f(r) = 2*t(r) - z(r). What is the third derivative of f(a) wrt a?\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93434655.\nAnswer: 3, 5, 449, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + c**2 - c + 1. Let k be x(-2). Let v = 3 - 1. Is (v + k*3)*-79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 6. Let q(z) = -57*z - 59. What is q(t) - 2*x(t)?\nAnswer: -49*t - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -10935 and 3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 13*d**2 - 14*d + 15. Let x be m(14). Calculate the greatest common factor of 45 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113021 + -5?\nAnswer: 113012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 16. Solve -u = o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 1569*j = -1575*j + 8, 0 = -4*r - 2*j + 142 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuevdvuuf. What is prob of picking 2 v and 1 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*t - 2 + 45*t - 2*t)*(0 - 3 + 2) to the form g*t + n and give g.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 + -12.483476.\nAnswer: 331.516524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344 - -566. List the prime factors of v.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -3*b**5\/140 + b**4\/14 + 3*b. Factor y(c).\nAnswer: -3*c**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyyoeoyosyyyeyyyyy. Give prob of sequence yoes.\nAnswer: 11\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5139 + 7536. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7665635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttetteyeteovoo. Give prob of picking 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.22 + -1542975384825.\nAnswer: -1542975384819.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.126 (b) 6 (c) 0 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14923366 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10197669 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x - 287 - 655 = 752 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -427*a. Let q(t) = -4*t. Calculate v(q(g)).\nAnswer: 1708*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 7*f + 20. Suppose 0 = -4*t - 2*d + f, -4*d + 18 = -2*t - 0*d. Let b = 4 - t. Calculate the least common multiple of 8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2815 - -429693. Let n = w - 202878. Round n to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4902957 + 26965086 = 226*u - 15425169. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 132 and 0.02?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 324*u - 326*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -0.2, 0, 0.2, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5022*c - 12426*c - 8702*c - 1 + 1 in the form t*c + f and give t.\nAnswer: -26150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443165868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 4*w - 70.\nAnswer: 2*(w - 5)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8882.864ml in litres?\nAnswer: 8.882864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 - 15*o**3 - 9*o**2 + 27*o = 0. What is o?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 less than or equal to -42129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 22 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 5*z + 205. Let l be s(-12). Let j = -2.75 - 0.25. Which is the third biggest value? (a) 0 (b) l (c) -7\/4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 - 4.499999. What is u rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20115 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 7553.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 45341.6.\nAnswer: 45341.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 + 27*n**2 - 19*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-88)\/22 + 0 + 2). Solve -y = p - k, y + 2*y - 3 = 6*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (-1 + sqrt(2736) + sqrt(2736))*2 + sqrt(2736))**2 - (((sqrt(2736) + (sqrt(2736)*-1 - sqrt(2736) - sqrt(2736)) + -1)**2 - sqrt(2736))*-2 + -3).\nAnswer: -320112 - 528*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:22 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -552162069, -552162071, -552162073, -552162075, -552162077, -552162079?\n\"Answer: -2*s - 552162067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2013*t**3 + 3081*t**3 + 3396*t**3 + (t**2 + 2*t - 2*t)*(-t - 2 + 2).\nAnswer: 8489*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-10))\/(-2) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469751 is divided by 817?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*g**2)*(37*g**2 - 3 + 5 - 1).\nAnswer: -74*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24744 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, 1 f, and 1 w when four letters picked without replacement from pwlflppelfmelpm?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.23 to 0 decimal places.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 25714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(8\/7))**27 assuming p is positive.\nAnswer: p**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 2. Let f be k(4). Suppose 2*u - 10 = f. Calculate the least common multiple of u and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 4*n + 102. Sort 3, n, -4 in descending order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.35 (b) 40 (c) -3\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 693548.682 - 31\nAnswer: 693517.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 41*i - 61. Calculate the remainder when 157 is divided by q(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2010, -4016, -6022, -8028?\nAnswer: -10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, 6542, -3\/2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 141.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139, 146, 195, 286, 419, 594, 811?\n\"Answer: 21*j**2 - 56*j + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 + 1337*c - 1333. What is m(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 - -99343?\nAnswer: 99240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7110, 28668, 64590, 114876?\nAnswer: 179526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 160*z = 3*h - 61*z - 9702, h + 2*z + 2*z = 392 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6483286 divided by 23.\nAnswer: 281882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8993 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 807 or 808?\nAnswer: 808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 + a. Let b(z) = -z**2 + z - 1. What is -2*b(o) - g(o)?\nAnswer: -8*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 188736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -1\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(162)\/(-1*sqrt(9)) + -1)**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/(-1 + (-1878)\/(-1872)). Suppose 6*n + 6*n - z = 0. Let o be 23\/5 - (-4)\/10. Solve -7 = -o*s + n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21106, 72, 2, 5, 4, 1 in increasing order.\nAnswer: 1, 2, 4, 5, 72, 21106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 2 t when four letters picked without replacement from {y: 1, c: 2, k: 1, t: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*m + 10, 5*m - 1 = 4*m. Suppose 0 = g - 0*z - 3*z - 10, -3*z - p = 0. Solve -g*t = -2*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2390 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**2\/2 - 13*h - 3. Let o be m(14). Factor -1 - o - 2*i**3 + 6*i**2 - 6.\nAnswer: -2*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Suppose 0 = -4*d + 2*n - 0 + 4, -6 = 3*n. Let m(l) be the third derivative of 0*l**4 - 1\/20*l**5 - 2*l**2 + d*l**3 + 0*l + 0. What is m(j(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.12981 or 216\/35?\nAnswer: -0.12981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 i when four letters picked without replacement from {i: 1, a: 5, k: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from vrjjvvjuzvvjvujjzz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + 14\/6. Is j < 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -0.0277?\nAnswer: -0.2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from ijittijijijjjtijtit?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38110*l - 38124*l + 76254*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 7*f**2 + 11*f + 3. Let p be h(8). Let x = 38 + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9*s = 18. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 64722 = 31*o. Round o to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (420\/9)\/(((-20)\/1404)\/(-5)). Suppose -35*g + q = 4*g. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -37. Suppose i + 22 = 4*s. Suppose 2*q = 3*l - 227, 5*q = 2*l - s - 135. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*u**4*z - 184604*u**3*z - 4*u**3 + 878*u**2*z + 3*u**2 + 8*u*z + 2*u + 34*z + 1 wrt u.\nAnswer: 192*u*z - 1107624*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*n**3 - 130*n**2 + 8450*n = 0. What is n?\nAnswer: 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-1 + sqrt(1700))*5)**2)*6.\nAnswer: -3000*sqrt(17) + 255156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + z)*(-2*z**3 - 4*z**3 + 5*z**3) + (0*z + 0*z + z**2)*(2*z**2 + 4*z**2 - 5*z**2) - 67*z**4 + 133*z**4 - 65*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/((-2)\/12). Let l = f - 5. Let h be (-3)\/(l + 3\/6). Solve 0 = q - h*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10780 + 10780 - 357*j**2)*(-4*j + 2*j + j) + 0*j**2 + 0*j**3 - j**3 + j**2 to the form b*j + h*j**3 + g*j**2 + x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(154*n - 2 + 2).\nAnswer: 770*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*h**5 - 33986*h**4 + 6*h**2 - 13*h - 182309?\nAnswer: -1200*h**2 - 815664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let z be 5 + (-1 + l - 0). List the prime factors of 4\/(-6) + 44\/z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -0*u - 3*u + 94, -224*j - 2*u - 74 = -222*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5304 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1886 + -1869.5. What is the biggest value in h, 2\/19, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 10*y - 4. Let m be r(-6). Let u = -235 + m. Let f = u + 258. List the prime factors of f.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 3.7. Let f be 3 + -2 - ((-4)\/(-16) - -2). Which is the second smallest value? (a) -6\/11 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)\/((-1)\/3). Let g be 1\/(-4) + 17\/4. Solve -s + 7 = -g*p - n*s, 0 = -p - 4*s - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 - 292*y**2 + 570*y + 864 = 0.\nAnswer: -1, 3, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.2. Let t = -1.13 + 1.1. Let k = -4.03 - t. What is the nearest to q in k, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-70) + 34\/7. Put g, 2, 0 in decreasing order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -1, -0.1, -52.\nAnswer: -52, -3, -1, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 276. Let f = 91 - c. Let r(v) = 2*v + v**2 + 1 - v**3 - 2*v**3 - 4*v**3. Give r(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -258, -328, -404, -486, -574, -668, -768?\n\"Answer: -3*f**2 - 61*f - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484016 is divided by 7642?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/20)\/(-3)*(-7 - -32). Solve -4*j - d = 2*z, -3*j + z = -0*z + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4357*s = -4368*s + 44. Let w be 4 - (5 - (-3 - -6)). Put 7, w, -5, s in decreasing order.\nAnswer: 7, s, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -96 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(120\/660)*24\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 3*o**2\/2 + 6*o + 77. Calculate a(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 - t + 4. Let q be j(-3). Suppose 595 = 14*x + 9513. Let z = x + 649. Calculate the greatest common factor of q and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 2. Let a be t(-1). Suppose a = -m + 56 + 6. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -24571?\nAnswer: -24568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4381538564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022021 + -1?\nAnswer: 1022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2443 + -1730. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35718?\nAnswer: 2, 3, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2 + 3*y - 18*y**2 - 15*y**2 + 26*y**2. Determine r(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 908*f**4 - 2*f**3 - 836*f**2?\nAnswer: 21792*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -400031 (base 6) in base 15?\nAnswer: -934d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, 209, 460, 811?\n\"Answer: 50*z**2 + z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*y + 2*s - 60, 3*s - 60 = -3*y. Suppose -r + 5*w + y = -8, 5*r - 140 = w. What is the remainder when r is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + -4)\/(3902\/8). Let v = 209359\/321915 + d. Let a = v + -2\/33. Is 2 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from pykpjskksypppps?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c - c**2 + (2*c + c - 2*c)*(-10*c + 52*c - 9*c) + 0*c**2 - 5*c**2 + 0*c**2 - c**2 + 5*c**2 - c**2.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 1109350 - 141005 = 0. Let w = t - 57736. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1)*n)\/n*(n\/(n*n\/((n*n\/n**2)\/n*n)*n*n))\/n*(n**(1\/2))**28)\/(n\/n**2*n\/n**0*(n\/(n*n\/(n\/(n**(-1\/8)\/n))))\/(n*n**0*n*n)) assuming n is positive.\nAnswer: n**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -445235, -890413, -1335591?\n\"Answer: -445178*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21047 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) - (-136)\/36. Let z(s) = -s - g + 49 + 7 + 241. Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -36*h - 1. Calculate r(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5175 + 0.1175. Which is the nearest to 0.1? (a) s (b) 4 (c) -6\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121646635 (base 7) to base 9.\nAnswer: 15337311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 3*q + 2. Let y be i(4). Does 8 divide (y - -1) + (23 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 355 + 1038. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343339 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**2 - 10180*o - 40751. Calculate i(-4).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93, 100, 111, 126, 145?\n\"Answer: 2*b**2 + b + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/(-18)*(-6)\/8. Let h = 8593 + -68743\/8. Which is the smallest value? (a) 23\/3 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p + 3\/5*p**3 + 3\/5*p**2 + 0 + 1\/5*p**4.\nAnswer: p*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5464 + 28291. Calculate the greatest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43670922.\nAnswer: 2, 3, 1511, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 41 = -2*l - c, 3*c - 35 = -2*l. Let t = l - 0. What is the highest common factor of 104 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -78 (b) 113 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -109 * 11814\nAnswer: -1287726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2984, -0.1, -2\/9, -221.\nAnswer: -221, -2\/9, -0.1, 1\/8, 2984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1829 and 8959?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13767562.79 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = 2*q - 58962. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(2\/(-4)). Let q be -1 - -1*(-1 - 2). What is the nearest to g in -0.1, 2\/3, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -15*y**2 - 8*y - 8. Let c(d) = -14*d**2 - 7*d - 9. Let r(u) = 3*a(u) - 4*c(u). Let i be r(6). What is the highest common factor of 54 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + 3*d + (-4 + 3 - 2)*(4*d + d - 4*d) + (-3*d - 11*d + 8*d)*(4 - 1 - 2))*(2*d + 0*d - 4*d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (73 + 2 - 11).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3436 (c) 5\/136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1\/5*c**3 + 45 + 0*c + 6\/5*c**2. Let a(x) = 0. Calculate x.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-58764)\/(-1328)*1\/(-225) and 77\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 18. Suppose 84 = -31*v + 38*v. Let c be b(v). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5304*c - 1181*c - 1043*c + 1201*c.\nAnswer: -6327*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 752 and 6?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13241803 and 3.\nAnswer: -39725409","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-100))\/(1\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 16. Let i be k(0). Suppose -70 = 5*x - 190. Let a be (i\/x)\/((-2)\/(-57)). Solve -5*u + 2 = -j + 7, 5*j + a = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5973, -5886, -5655, -5208, -4473, -3378, -1851, 180?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28098731717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-10)\/198 + (-100)\/550?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1\/10, -0.2, -2\/11 in ascending order.\nAnswer: -0.2, -2\/11, -1\/10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/2, 0.2, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 20 + 57 = 0. Let a(o) = 13*o - 11. Let k(y) = 7*y - 6. What is b*k(w) - 4*a(w)?\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, w: 1, i: 1, h: 7, k: 8}. Give prob of picking 1 h and 1 w.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10426, 20024, 70766, 141794, 233102, 344684, 476534, 628646?\n\"Answer: -j**3 + 10152*j**2 + j - 20578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 10*r + 5. Let d(o) = 4*o**2 - 12*o - 7. Determine -5*d(c) - 6*n(c).\nAnswer: -2*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - 15. Let w = z + -4. Let k be (-3)\/(w\/(-6)) - -7. Solve -k*c + c = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228697323.6 rounded to the nearest ten thousand?\nAnswer: -228700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5518 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-9))\/(1\/21). Suppose -v*l = -12*l + 15. Let z(c) = 5*c - 13*c**3 + 5 - 5*c**2 + 1 - 3 + 12*c**l. Calculate z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556 + 2850 + 3676 = -199*b for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 36.3. What is the third smallest value in -0.11, -3, q, 0.03?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.189 * 0.5\nAnswer: 4.0945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 199.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9075 and 6285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36455565.\nAnswer: 3, 5, 17, 142963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25740 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - 38.65.\nAnswer: -38.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66812967 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257758617 or 257758619?\nAnswer: 257758617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-16)*(-20)\/(-315).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11338100.\nAnswer: 2, 5, 113381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2528 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**10*d*d)*(d*d\/(d**2*d))\/d)**(-6\/11)*(d\/(d**(1\/10)\/d)*d**(-6\/11)*d)**(-6) assuming d is positive.\nAnswer: d**(-387\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (288\/(-3))\/(-4)*272\/6. Calculate the least common multiple of 32 and (1\/2)\/(17\/r).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*b + 33*b + 34*b - 25. Is 3\/6907 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 4880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85816 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2\/(-10))*5. Let c(a) = -a**2 + 7*a - 4. Suppose 0 = -15*x + 6*x + 36. Calculate the least common multiple of c(g) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 bigger than 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**3 + 4. Let o be (4\/10)\/((-1)\/(-5)). Suppose -2*w - o*w - 24 = 0. Let v(z) = -4*z**3 - 1. Calculate w*u(i) - 26*v(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m - 6 = 47*m, -z + 4*m + 41704 = 0. What is the ten thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2148574\/8165 + -6345340033\/24609310. Let f = t + -2\/1507. Calculate the common denominator of -69\/20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 72613*h + 290487. What is s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3416? (a) -0.02 (b) -1\/12 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 15, 41, 77, 123, 179, 245?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 127*b + 32. What is the tens digit of j(43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1369*b - 10. What is h(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4191096 * -5.\nAnswer: 20955480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -566 - -566. Let s = -41 - -44. Let r(x) = 4*x**3 - x**2 - 1 + x - 2*x**s - 4*x**3 + 3*x**3. What is r(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v\/(v\/(v*(v**(-20)*v)\/v*v)*v))\/v)))\/v)\/(v*v**16) assuming v is positive.\nAnswer: v**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Suppose -7*c + 11*c = -4. Give f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 5*r - 3*t - 180, 80 = 3*r - 4*t. Let b be r\/(-304) - 80\/(-38). Put b, -0.2, 5, 3 in descending order.\nAnswer: 5, 3, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7855 + -7832. What is the remainder when 3738 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 104*f = -105*f + 9, -4*f + 6 = g. Suppose 2*x + 3*t + 22 - 21 = 0, -2*x - 4*t + g = 0. Sort 3, -1, x.\nAnswer: x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -19 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -733.313963 rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72.53 - 4058.47. Let s = -4130.999994362 - f. What is s rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2 - 273*j - 274 = 0.\nAnswer: -1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/35406 and -5\/11802?\nAnswer: 35406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98891459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 10*k - 21862 + 21499 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 240?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555463 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 - 148. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 j, and 1 i when four letters picked without replacement from {i: 5, j: 7, d: 2, r: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 74. Suppose 4*w - 4*j = w - 27, 7 = -2*w - j. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 - 161*m**2\/4 - 271*m - 231 = 0. Calculate m.\nAnswer: -154, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 3:55 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/((-1224)\/72*(-2)\/(-17))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*y - 9, -10*w - 34 + 16 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = 0, -4*p + 0*l - 2 = -2*l. Suppose 0 = f + p*f - 18. Solve -2*b - 1 = t - 4, b = 2*t - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1439 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442445911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f**4\/3 - 109*f**3\/3 + 13*f**2 + 75*f + 18 = 0. Calculate f.\nAnswer: -1, -6\/23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*152\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87690 + 64?\nAnswer: 87724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -7 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-3) + (-2 - -45). Let z = c - 36. Let t(s) = 17*s**2 + 6 - z - 4*s**2. Let h(k) = 2*k**2. Calculate h(t(y)).\nAnswer: 338*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10860 + -5163. What are the prime factors of n?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.05987 + -0.05987. Which is the smallest value? (a) g (b) -2\/3 (c) -2 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/10 + g**4 + 25*g**3\/3 - 11*g - 2. What is the second derivative of o(l) wrt l?\nAnswer: -12*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/6 - i**3\/3 + i**2\/2 + i. Suppose -m - 12 = -3*q, 3*m + 24 = q + 4*q. Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 553 + -381. Let u be i\/22 + 4\/22. Suppose -44 = -2*l - u. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 25*z**3 + 152*z**2 + 5*z - 14. Let a be j(-6). Suppose 0 = -0*i + 5*i - 35. What is the greatest common factor of i and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/48 and 133\/504030?\nAnswer: 4032240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -86000*l**3 + 3*l**2 - 9*l + 6. Let f be s(2). Round f to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 742.9737nm?\nAnswer: 0.0000007429737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 513 - 135. What is the greatest common factor of p and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + l)*(13*l**2 - 7*l**2 + l**2) + 2*l**3 - 4*l**3 + 5*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2 = 46. Let k be (40\/l)\/(2\/(-12)*1). Round k to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 3, h: 1, s: 2, v: 3, c: 1}. What is prob of sequence hiii?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, g: 3}. Give prob of sequence gmgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 24*b**2 - 819*b - 87. What is l(-19)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102595 and 40171?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*q**3 - 3*q - 14*q**2 - 24*q**3 + 6*q + (1 + 0 + 0)*(-2*q**2 + 2*q**2 + q**3).\nAnswer: 4*q**3 - 14*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/41)\/n**(-10))**(2\/9) assuming n is positive.\nAnswer: n**(824\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*s - 5*s - 13 = 0, -15 = 3*s. Let n = -32 + 31.64. Let f = 1.36 + n. Which is the smallest value? (a) f (b) o (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 273 - 547 + 268 + 20*d. List the prime factors of m(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 706*f - 54378. Give y(77).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15756?\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -8*p - 15. Solve 4*t = 2*i + 4, -3*t + 2*t = p*i + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*b - 9, -2*i + 4*b = 3*b - 6. Suppose -4*q = -20, -2*q = -0*o + o - i. What is the units digit of (-15)\/o + (0 + 2 - -88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28705144 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260*c**2 + 2*c + 1260*c**2 - 2*c + 10*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(1\/7))**(-30)*(p**(-1\/4))**40\/(p**(2\/9))**(-2\/17) assuming p is positive.\nAnswer: p**(-12518\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40042545*b*u**2 - 119499*b*u - 5*b + 8*u**2 + 3*u + 19 wrt u.\nAnswer: -80085090*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 147*x - 80. Give n(-74).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008)*-2 + -5 + sqrt(1008)))*5 + -1*(sqrt(112)*-2*1 + sqrt(112)))**2 + 0.\nAnswer: 6200*sqrt(7) + 108257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcmgzmmqmdmmmdm. Give prob of picking 2 d, 1 m, and 1 z.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71937643, 143875283, 215812923, 287750563, 359688203?\n\"Answer: 71937640*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y - 82501 = -91*y. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/33)*q*q)**(-7\/10)*(q**(-5\/6))**(5\/4) assuming q is positive.\nAnswer: q**(-1709\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.08 - -2.3. Let z = m - 151.22. Let s = 152.9927 + z. What is s rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17191, -17217, -17251, -17287, -17319, -17341, -17347, -17331?\nAnswer: -17287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l - 1. Let x be i(2). Let j = x + 15. Let a(g) = 2*g**2 - 5*g - 4. Let h(p) = 3*p**2 - 6*p - 5. Give j*h(q) - 5*a(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 312*u**2 - 9*u + 125. Let w(q) = -156*q**2 + 4*q - 62. Let t(d) = 4*a(d) + 9*w(d). What is the derivative of t(h) wrt h?\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 15*n - 576. Let p be (-2)\/11 - n\/(-88). Find the third derivative of 4*v**4 - 12*v**p - v**4 + 12*v**2 - 7*v**2 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293996, -294014, -294062, -294158, -294320, -294566, -294914?\nAnswer: -295382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let h be (d - 16) + (-9 - -5). Is (-3)\/h + (-750)\/(-36) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwrrrw?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 514, 1462, 2860, 4702, 6982, 9694, 12832?\n\"Answer: -q**3 + 231*q**2 + 262*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + -0.08. Let m = -18179 + 18179.1. What is the biggest value in 1\/11, m, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 0 - (1 + 1)) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 30270562*o.\nAnswer: -2*o*(o + 136217529)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523457 (base 9) to base 4.\nAnswer: 1023322102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/405 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-5)\/2)\/((-11)\/(-22)). Put -3, -13, o in descending order.\nAnswer: o, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {s: 3, m: 1, g: 1, a: 3, n: 6}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 4548.\nAnswer: 50028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 351 and 1195911.53?\nAnswer: 1195560.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2671*m - 4340*m + 2 + 0 - 5698*m - 38338*m.\nAnswer: -45705*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:56 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + u**2 - 3*u**2)*(5 - 1 - 2)*(0 + 4 - 1).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 16, n: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.3. Let s = -140645.9 - -140645.3999992. Let i = p - s. What is i rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(38*o + o + 3 - 22*o).\nAnswer: -17*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -15, -2*g - 2*c + 34 = -4*c. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*p*v**2 - 1169813*p - 274629554*v**2 - 1 wrt p?\nAnswer: 111*v**2 - 1169813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 6 - 20 - 1) + 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b92bbe (base 15) to base 5\nAnswer: 4224140104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjackkczccnaj. What is prob of sequence kjjc?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/929826 and 109\/3719304?\nAnswer: 3719304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 3. Let s(a) = -1. Let y(i) = b(i) - 3*s(i). Let r(c) be the second derivative of 8*c**3\/3 + 118*c - 2. Give r(y(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 33 - 10 + 9 - 8.\nAnswer: -b - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102201302 (base 4) to base 3.\nAnswer: -10212002202","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 586568.4 millilitres in litres?\nAnswer: 586.5684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6385 divided by -1\nAnswer: 6385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + -1 - (0 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42931\/1468 - -2\/367. Let k = 593\/20 - o. Let v = -1 - -1. Which is the nearest to k? (a) -3\/5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 15212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 11, m: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3161 + -1577. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 1, x: 1, h: 1}. What is prob of sequence th?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u**3 - 19958*u**2 - 154108*u + 35232 = 0 for u.\nAnswer: -1101, -8, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83843 is divided by 41847?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 4 = 7*q. Suppose 0 = -5*m + 3*d - 1201 + 28116, -16149 = -q*m + 2*d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 38*k**2 - 33*k - 68. Let s(f) = -11*f**2 + f - 4. Let g(p) = l(p) + 3*s(p). Factor g(w).\nAnswer: 5*(w - 8)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u + 3*u + 5*u - 10*u in the form f*u + o and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/12)\/(231\/990*-15)*(-9)\/(-22).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 4*i**2. Let f(z) = -3*z**2 + 450*z - 890. Let u be f(148). What is l(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -569\/3 + 190. Sort y, 2\/7, 0.093 in descending order.\nAnswer: y, 2\/7, 0.093","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 - 132 - (2 + -21)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:56 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6265 is divided by 754?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 93 + 1 = 0. Suppose 10*d + 26 - 71 = -25. Solve d*k + 14 = -2*x, x + w = -4*k - 2*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - 75\/((-5100)\/3604).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Let h be (-2)\/200*-13 + 0. Let k = 3\/25 + h. Which is the biggest value? (a) v (b) k (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 20 = 4*a, g - 14 = 2*a. Let c be 0 - -3*(-2)\/a. List the prime factors of 50 - (0 - c - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 32. Let y(s) = s**3 + 6*s**2 + 6*s - 4. Let h be y(-5). Let k = h - w. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -358 + 358. Solve y*u + 18 = -9*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 256 = -27*t. Suppose -y + 12 = -0*p + 3*p, 5*y = -5*p + 30. Suppose 4 = -y*f + 28. What is the greatest common divisor of t and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:23 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 - 57*g**2 - 58*g - 59. Calculate c(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:33 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 50. Let k be (80\/(-6))\/((-14)\/q). Solve -12 = 4*i - 3*w - 0, -2*i - k = -5*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.000166 * -0.4.\nAnswer: 0.0000664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 2. Let x(d) = -9*d - 8. Let b(p) = -4*h(p) + x(p). Let o(z) = -27*z + 27*z - 66*z**2 - 39*z**2. Give o(b(k)).\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*f**4 + 2182*f**2 - 447221*f wrt f.\nAnswer: 300*f**2 + 4364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*w - 5, -2*z = -w + 1 + 1. Solve 0 = 5*n + 4*v + 17, w = 2*n + 3*v + 1 + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 2271, 5171, 9231?\nAnswer: 14451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4*q + 6*q + 2*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t - 9. Suppose 14 = 5*s - 4*k - 4, -5*k = 5*s. Sort s, t, 8 in decreasing order.\nAnswer: 8, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214700205?\nAnswer: 5, 242940041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4594, -5685, -6776, -7867?\n\"Answer: -1091*c - 3503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/23))**23 assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -2.6. Let m = 2.7999964 + h. Round m to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {k: 7, v: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 33. Determine c(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440481724.\nAnswer: 2, 199, 553369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3779 + 3883. What is the lowest common multiple of 650 and a?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 61*q**3 - 14*q**2 + 7*q + 43. Let a(i) = 31*i**3 - 6*i**2 + 3*i + 21. Let j(x) = -7*a(x) + 3*m(x). What is the first derivative of j(o) wrt o?\nAnswer: -102*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -110, -5, -0.11?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = 4*s - s, -2*s - 8 = -3*n. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/((1\/3)\/((1300\/(-90))\/26)). Sort b, -5, 50.\nAnswer: -5, b, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -2*y**3\/3 + 1. Let u(f) = -3*f + 3*f + 16*f**2 - 73*f**2 - 14*f**2 + 34*f**2. Determine u(o(b)).\nAnswer: -148*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 = g - 3*g. Let x = g - -550. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 527*k - 2629. What is l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 609*m**3 - 7371*m**2 - 8565*m + 219450 = 0. What is m?\nAnswer: -5, 7, 11, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278 bigger than -61\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-18))\/((-66)\/(-297))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321343 - 4?\nAnswer: 321334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117940.2 minutes in seconds?\nAnswer: 7076412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jrjxhyvh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k + 4*g, 51*k - 3*g = 49*k - 6. Solve 2*m = 2*l, -k*l - 8 = 4*m + m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*u = 4, 2*u + 0 = -4*h + 18. Let y be (-1)\/h + 7\/14. Suppose y = -0*v + v - 11. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 7*y + 30. Let h(r) = -14*r**2 - 29*r + 119. Let s(n) = -2*h(n) + 9*i(n). Is 34 a factor of s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17 + 2*m - 7 - 8 + m + 6*m**2. Let a be k(-1). Let f be -1*7 + (-2)\/(-1). Put a, -3, f in increasing order.\nAnswer: f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1192\/12 - 1\/3. Suppose 2*n - 38 = 2*d, 0*d + q = 5*n - 3*d. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138804 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = q + 415*h - 417*h, -4*q - 4*h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445 - 37147*u - 445 + 37136*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17315617?\nAnswer: 11, 673, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5\/(-2))\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -299*r + 53. Let x be k(5). Round x to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 52871*m + 52882*m - 37 = 0, 3*m + 51 = -4*x + 6*m for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - 0.02. Let k = -344.2 - -344.22. Which is the nearest to m? (a) 4 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48553950 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12168 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 72\/11 (c) 328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c944 + 5?\nAnswer: 1c949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 3. Let l be d(3). Let c(n) = -n**3 - n**2 + 8*n + 9. Let y be c(l). Suppose -1 + y = 4*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 310 + -303. What is the remainder when 24 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 greater than -1015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24987248347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/4)\/h**9*h**(2\/3)*h*h**(-6)\/h assuming h is positive.\nAnswer: h**(-187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 3. Let u be j(-6). Let f = -15 + u. Let c(w) = -w**2 - 7*w + 1. List the prime factors of c(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 716, -1, -188 in descending order.\nAnswer: 716, -1, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1967188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1835 + 1815. Put -3, x, -5, 1 in ascending order.\nAnswer: x, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f + 7. Let y be m(4). Let x = y + 64. Suppose 3 = 4*a + x. Let j(u) = u - 2. Calculate j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17741464 divided by -4435366\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004351083 rounded to 6 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*o - 43, 4*m + 1 = -o - 22. Suppose -49*n = -29*n + 66 - 6. Suppose -3*h - b = 1, -4*b - 4 = -0. Sort n, h, o, -4 in decreasing order.\nAnswer: h, n, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from pxpepppbxpmpexpxmxpp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -6*t + 112. What is the remainder when 9 - 4*(1 - 2) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/108*-1)\/((-5)\/15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 34*h + 88. Let b be o(-30). Suppose 5*n - n + p = 66, 5*n - 86 = -3*p. What is the highest common divisor of b and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 2*t - 2. Let q be v(-2). Suppose q*a - 28 = -0*a. What is the remainder when 39 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -594626 times -3\nAnswer: 1783878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, k: 2}. Give prob of sequence tkk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 26*z**2 + 21*z + 59. Suppose 3*i + 20 + 5 = -q, -5*q - i = 139. Is m(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240490*d**3 + 169182*d**2?\nAnswer: 1442940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150948049 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, 0.1, -3399, -0.05, 2\/17?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i**2 + 6*i - i**2 + 2*i**2 - 3. Let c be k(-7). Solve 6*v**2 - c*v**2 - v**3 + 3*v**3 = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-3)*(-10)\/((-80)\/(-12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1531\nAnswer: 6124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46508, 46444, 46380, 46316, 46252?\n\"Answer: -64*r + 46572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 (base 13) in base 16?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - l + 42*l - 14*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 754.9 and 2.\nAnswer: 1509.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1306\/33? (a) 42 (b) 3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 712 and 53524?\nAnswer: 9527272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1250) + ((sqrt(128) + 2 + sqrt(128) + 0)**2 - sqrt(128)))*6.\nAnswer: 486*sqrt(2) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 12*r**2 + r + 261. Determine p(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2181 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2715212 and 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 3*i**2 + i. Let p be g(2). Let q be 5 + (3 - 0) + p. Is (-38)\/((-1)\/(3\/q)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 0*y - 6*y - 5*y - y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/15 and -119\/2262.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/3*(-35)\/(-20). Let z = l - -302. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54845451.\nAnswer: 3, 17, 119489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/111, 0, 1\/3, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -642 - -6184. Does 13 divide o\/102 - 1*2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 69 = -2*z, -6*z - 3*t + 153 = -2*z. What is the lowest common multiple of 2 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 2*i - 5. Let n be i*(-7 + -3)\/(-5). Solve 5 = -t + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8*i = 944, -2*i + 201 - 917 = -3*a. Is 226 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -289\nAnswer: -17.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, -0.11, -30, -5, -1.8, 2\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 223\/7156170 and 103\/64470?\nAnswer: 7156170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -206b8 (base 13) in base 5?\nAnswer: -3331122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/4 + 2*a**3 - 11*a**2\/4 - 9*a\/2 = 0. Calculate a.\nAnswer: -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 427 + -427. Sort -1, c, 25.\nAnswer: -1, c, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1336 = -7*a + 3669. Suppose 30*d + a = 43*d. What is the highest common divisor of 35 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-54))\/(2 - 6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -220.5, 2, -3\/5 in decreasing order.\nAnswer: 2, -3\/5, -220.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1 - 11*p**2 + 7*p + p**2 - 27*p**3 + 7*p**3. Let s(l) = l**2 - 9*l - 29. Let r be s(12). Let c be x(r). Round c to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.619 + -1.619. What is the fourth smallest value in 0.3, 1.8, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 18585503.\nAnswer: 18585502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*b = 8, 0 = -2*g - 3*b - 3 + 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6) - (-18)\/54. Suppose 3*j - p + 6 = 0, -4*o + 3615 = 5*j. Is 38 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:02 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewbgaxwbweabxa. What is prob of picking 1 b, 1 e, and 1 a?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or 120\/64487?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -123709, -2\/13, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7905 + -7899. Let i(q) = -11*q + 75. Determine i(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 4*m**5\/5 + 3*m**4 - 8*m**2 + 14. Factor x(d).\nAnswer: 4*d*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16 and 9\/365.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/266)\/((-1)\/(-4)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*r + l + 112, -4*l = -r + 51. What is the highest common factor of r and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(63) - sqrt(7)))**2 + sqrt(6)\/(sqrt(3)*2) + 4 + ((-1*sqrt(490))\/(sqrt(90)\/sqrt(2) + sqrt(5)))**2.\nAnswer: sqrt(2)\/2 + 85\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 81)\/(6 + (-9 - -2)).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1613*s - 1616*s + 5*b = -2, s = 3*b + 6 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 1, j: 2, p: 4, a: 2, c: 1}. Give prob of sequence aqq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 103 = 4*n. Suppose 5*k - 2*w + w = 79, -5*k + 75 = -5*w. Let r = n + k. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7715 - 414?\nAnswer: -8129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q = 45. What is the units digit of 2\/(q\/((-333)\/(-2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-279)\/(421848\/525)*(-1)\/(-10)*-4\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**4 - 5*d**3 + 616*d**2 wrt d.\nAnswer: -144*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/160)\/((-2)\/(-148)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -1 (c) 3 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 308 + -277. Suppose 0 = -w*g + 25*g + 30. Solve g = -3*k - 5*z + 4, -2*k + 3*z + 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7431100 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**2\/2 - 5. Let s(v) = 3*v**2. What is s(g(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 416639 or 416637?\nAnswer: 416639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbgbbbbbbbbbbbbbgbb?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17*p**3 - 29*p**2 - 9*p. Let r(y) = -8*y**3 + 15*y**2 + 4*y. Let v(a) = 9*r(a) + 4*s(a). What is the third derivative of v(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 225156710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**10*s*s*s\/s**(-2\/29))**(22\/5) assuming s is positive.\nAnswer: s**(-2508\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 8*d**2 + 0*d + 5\/6*d**3 + 1\/12*d**5 - 1\/12*d**4 - 1\/120*d**6. Give g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -0.02, -8, 5, -1, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, -10, -54, -136, -268, -462, -730, -1084?\n\"Answer: -2*d**3 - d**2 - d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 30 = 66. Solve -3*u = -2*m + 4, -p*m + u = 12 - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 197025?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.01, -4\/5, 3, 7 in ascending order.\nAnswer: -4\/5, 0.01, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2448690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j + 5\/2*j**2 - 4. Let u(q) = -q**2 + 9*q. Let l(w) = 2*w. Let r(z) = -9*l(z) + 2*u(z). Calculate i(r(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5. Let q(w) = -5*w. Let o be q(s). Let i(r) = -r + 9. Give i(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -4*n + 158. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 + 3 - 2 + p. Let g be ((-3)\/1)\/3 - -1. What is the units digit of z(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2))\/w*w\/(w**(-6)\/w*w))\/(w**13\/w**(2\/31)) assuming w is positive.\nAnswer: w**(-246\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)*(2 - 14\/4). Let f be (-1)\/((1 + -6)*1). What is the nearest to 2\/3 in f, -0.05, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 41*m**3 + 5*m**2 + 49*m - 296. Calculate the least common multiple of 4774 and v(4).\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((-603)\/61506).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/414 and -75\/28?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o - 0*o. Suppose -4*m = 5*l - 148, 3*m + 185 = 8*m - 4*l. Let i(y) = m*y + 3*y**2 + 3 - y**3 - 38*y - y**2 + 2*y**2. Give i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = 9925 - 9948 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 65\/2*g**4 + 0*g + 0 - 845\/4*g**5 + 91*g**2 - 2*g**3. Determine z so that d(z) = 0.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 2*y**2 + 4. Give o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + 100\/6. Let x be 4\/(-10) + i\/5. Differentiate -2 - b**2 - x*b**2 + 3*b**2 with respect to b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 4746174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 6)*(-2*y**2 - y**2 + 4*y**2)*(26*y - 2*y**2 - 26*y).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770 = -1306*g + 2669*g - 1328*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 3}. Give prob of sequence fxxf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30798785 divided by -5?\nAnswer: 6159757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 3*k)*(-k + 3*k + 0*k)*(10*k**2 - 10*k**2 + 2*k**3).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 10641525?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*x**2 + 89*x**2 + 101*x**2 as o + r*x**2 + d*x and give r.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 3. Let x(b) = 10 + 3*b - 16 + 4*b. Let v(d) = -2*x(d) + 5*z(d). What is the derivative of v(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.63 - -0.13. Let r = x - -0.5. Let i be 1 + 4\/(20\/(-7)). Which is the closest to i? (a) 4 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*s - 101*s + 2*s**4 - 5 - 5*s**3 - 95*s - 103*s to the form z*s**4 + y*s + h*s**3 + a + i*s**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -354796 and 8.\nAnswer: -2838368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-845)\/(-78))*(195\/(-3185))\/(8\/252)?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190.5 - -190. What is the third smallest value in s, 5, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 53*q**3 + 3*q**2 - 3. Let o(k) be the first derivative of -1643*k**4 - 371*k**3\/3 + 371*k - 3364. What is -3*o(g) - 371*s(g)?\nAnswer: 53*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + p**2 + 2*p. Let c(m) = m - 1. Let h be c(5). Suppose h + 1 = 5*s. Let k = s - 3. Determine i(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 80.8. Which is the nearest to -0.1? (a) -2\/7 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-1060))\/((8\/(-84))\/((648\/(-42))\/(-3)))?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 0, 1.2 in increasing order.\nAnswer: -2\/19, 0, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2461, 4875, 7299, 9733, 12177?\nAnswer: 14631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 89, -4, -5, 3\/14, -2\/11, -0.08?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -11*v**4\/24 - v**3\/6 - 4*v**2. Let i = -8 - -8. Suppose i = h - 3*z - 10, -4*z - 15 = -3*h. Calculate q(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.487 + 0.087. Which is the second biggest value? (a) -2\/11 (b) k (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85473\/65 - -1315. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 47 = 383. Let i = 45 + j. Let g(n) = 8*n. Let t be g(1). Calculate the greatest common divisor of i and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 24*l + 13608 = 0. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7 = -13. Let g(p) be the third derivative of -p**6\/120 - p**5\/6 - 5*p**4\/12 + p**3\/6 + p**2. Let o be g(-9). Solve 0 = 2*y - k*y + o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*x - 234*x + 183391 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 2*v - 17)*(6*v - 4*v + 0*v) + 0*v**2 + v**2 + 2*v**2 + (-3*v**2 + 3*v**2 + 3*v**2)*(-1 + 0 + 3).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692228117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -121, -112?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxoyjyx. Give prob of sequence oy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.2 + -29.5. Let g = 8 - 13. Which is the smallest value? (a) 0.01 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -381 - -395. Solve -12*b = 2*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) - (-416)\/9. Let u be (x\/(-2))\/((-3)\/3). Suppose 3*g = 2*a + 115, 4*g - 4*a - u = 133. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*j + j + 2238, -2*j - 2256 = 5*o. Let y = 684 + o. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416021?\nAnswer: 643, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/85, 1, -22?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**7\/273 - 8*q**6\/195 + 21*q**5\/130 - 7*q**4\/39 - 20*q**3\/39 + 24*q**2\/13 - 741*q. Determine h so that p(h) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - l**2 + 4 + 0*l**2 - 6. Suppose 0 = -k + 5*n + 15, 6 = -n - n. Determine m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4789.832 minutes in milliseconds?\nAnswer: 287389920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 286009674 + 1\nAnswer: 286009675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m - 2*m - 10*m as p + u*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -31, 3, -1, -1233 in descending order.\nAnswer: 3, -1, -27, -31, -1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*y + 4 - 4 - 175*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22306689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1752)\/3066*(-2)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 27, 29*i = 59*i - 33*i - a - 69 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 66 = 22*q. Let u(g) = -g**3 - 12*g**2 - 10*g + 22. Let z be u(q). Let b(t) = -z*t + 5*t + 6*t - 2*t**2. Let o(l) = 12*l**2. Determine o(b(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 4304212004?\nAnswer: -4304212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 9*p**2 + 3*p + 2. Let b(m) = -4*m - 26. Let g be b(-8). Does 32 divide d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 17*x**2 + 18*x - 30. Let k be m(16). Let c(g) = -g**3 + 3*g**2 - 2*g + 2. What is c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3403562 (base 8) to base 3\nAnswer: 1201201012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 13536.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -52.9. What is the closest to 2 in l, -1\/4, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 10. Let i be b(-10). Let a(g) = g**2 + 4*g + 6. Let j be a(-4). Solve i = -j*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157.76 + 157.78. What is the third smallest value in 0.04, -3, -4, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 677, 1072, 1511, 2000?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 16 (b) 0.2 (c) 4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -11 - (-2 + (-5 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/4 - 3933*t\/2 - 328993\/4.\nAnswer: -(t + 43)*(5*t + 7651)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4*p. Let s be 1\/(33\/36 - 1). Let a = 16 + s. Let y be b(a). What is the second biggest value in -5, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 - 2*z - 30 - z + 30.\nAnswer: 22*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/549 and -44\/15.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -59808*q**3 + 64*q - 64. Let t(w) = 2848*w**3 - 3*w + 3. Determine 3*g(o) + 64*t(o).\nAnswer: 2848*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 694 + -699. Let p = -4.8 - -0.8. What is the biggest value in a, -0.3, 0.04, p?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*y + 4*y = 0, -5*m + 16 = y. Solve 4*f + 36 = -m*d, -5*f - 17 = -d - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -184. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 1, p: 2}. What is prob of picking 1 o and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 27*k**3 - k**2 + k - 1. Let q = -1 + 2. Calculate the remainder when a(q) is divided by 14*(-3)\/(-6)*4\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*n**2 + 3623371 - 3623371.\nAnswer: -107*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22257 - -28033. What is the highest common divisor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1. Let n(i) = -i - 1. Suppose -27*d - 245 + 18 = 200*d. Calculate d*v(x) - 3*n(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30226 and 2?\nAnswer: 30226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, -14115, -3\/4, -2\/125?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(114)*1)\/(sqrt(150) + (sqrt(150) - 1*sqrt(150))) + -4 + ((sqrt(304) - (-1 + sqrt(304) + -2))*-4)**2.\nAnswer: 6*sqrt(19)\/5 + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68, -65, -50, -17, 40, 127, 250?\n\"Answer: o**3 - 4*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24714 and 91\/3833416.\nAnswer: 34500744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4360)\/300 - ((-28)\/12 - 1634\/129)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/15 + 2\/3. Which is the third smallest value? (a) q (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 1 = -5*u, -4*u + 5*u = -2*m - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlq. Give prob of picking 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 17*u = 16. List the prime factors of -2 + 2170\/u - 27\/108.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301800431.\nAnswer: 5851, 51581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 - 3*b + 3. Let d be j(-3). Let y(h) = h**2 + 6*h + 6. Let l be y(d). Suppose 3*t - l = 2*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 10 - (-11 - -2 - (30 + 12)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 38, 29, 18, 5, -10, -27?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 76.21664mg?\nAnswer: 0.00007621664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895*t = -888*t + 6447000. What is t rounded to the nearest ten thousand?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11102724 and 22205448?\nAnswer: 22205448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -4*k, 0 = -3*y - 2*y + 2*k + 12. Suppose 4*r + y + 2 = 0. Put -5, r, -8 in descending order.\nAnswer: r, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, i: 7}. What is prob of picking 1 i and 1 m?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.94, 0.7, 2\/279 in increasing order.\nAnswer: -1.94, 2\/279, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 10*d + 2. What is c(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - 3. Do -1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45542 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12871 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -239, -1\/3, 0.02 in ascending order.\nAnswer: -239, -1\/3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.6159 years in centuries?\nAnswer: 6.926159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64, -253, -580, -1051, -1672?\n\"Answer: -l**3 - 63*l**2 + 7*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67124494*l**4 - 2*l**2 - 856*l + 3063?\nAnswer: -1610987856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 133 in descending order.\nAnswer: 133, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 2\/9, 33, 576, 1 in descending order.\nAnswer: 576, 33, 2.5, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-870))\/((-40)\/32)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 200338 and 1?\nAnswer: 200338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(c + 3*c + c)*(2*c**2 - c**3 - 2*c**2).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02485 - -0.01482. Round l to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-2)*4\/44*(-2013)\/(-1098)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4108, 4109, 4110?\n\"Answer: f + 4107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 4*k**2 - 103332 - 103478 - 4*k**2 + 206810.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**3 + 4*m**2 + 6*m + 8. Let n(s) = -4*s**3 + 2*s**2 + 5*s + 1. Let c(r) = b(r) - 2*n(r). Calculate c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*y + 5*y. Suppose -2*t - y*t + 126 = 0. Suppose -28*j = -26*j - t. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, f: 6, h: 3}. Give prob of sequence hh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + -1a7?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 178, 421, 718, 1069, 1474, 1933, 2446?\n\"Answer: 27*z**2 + 162*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6544, -12905, -19280, -25675, -32096, -38549?\nAnswer: -45040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 96, 214, 332, 450?\n\"Answer: 118*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -170100 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + 2) - (1 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2134, 2094, 1992, 1798, 1482, 1014?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 271530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.9 or 11771?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 5.43763?\nAnswer: 2.718815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 3352563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 182*a**2 + 6549*a + 19682. Calculate u(-3).\nAnswer: 1673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -20\/137?\nAnswer: -20\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 398*w**3 + 8*w**2 + 4*w + 4. Let o(q) = -176315*q**3 - 3546*q**2 - 1773*q - 1773. Determine -4*o(k) - 1773*u(k).\nAnswer: -394*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251571433 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 256 + 56*z**2 - 256 + (-2*z + z + 2*z)*(2*z - 4 + 4) + (z - 2*z + 2*z)*(-z + 0*z + 4*z).\nAnswer: 61*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*x - 26, -4*y + 4*x + 35 = 3*x. What is the common denominator of (-6)\/y - 542\/72 and 189\/(-6) - 0\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001001110010001111 - -110010?\nAnswer: -1000001001110001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 67 = -76. Find d, given that 0*d**3 - d + 15*d**3 - 3*d**5 - 3*d**i - 8*d + 6*d**2 - 6*d**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 28 = -4*m, 0 = -7*m + 3*m - 20. Suppose 3*r - 1922 = 2*y, 4*r - h*y + 0*y = 2564. What is r rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Suppose -7*f = -w*f. Let t be f + (3 - 2) + -2. Put t, 3, 4 in increasing order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + -1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.043 + -1.387. Let i = z - -29.43. Do -1\/5 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**3 + 569*o**2 - 421*o**2 - 148*o**2 + 18*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 9*x + 17. Calculate b(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 0 - (sqrt(228) - 2*sqrt(228))\/sqrt(12))**2 + sqrt(1900)*2 + 2.\nAnswer: 20*sqrt(19) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 - 2*w**3 - 6*w**3 + (-w + 3*w + 0*w)*(4*w**2 + 2 - 2).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36302 is divided by 1457.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*g + 3 = -1, -5*d - 4*g = -1. Let i be (0 + 1)\/(-1) + 4. Let v = d + i. Are v and 0 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001423395482 rounded to six decimal places?\nAnswer: 0.001423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h - 10 = -89*h. Solve 2*p = 0, -3*d - 9 = -4*p + h*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 165?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3434 and 768004.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 102*m + 3\/2*m**2 + 0 - 1\/6*m**4 - 2\/3*m**3 + 29\/20*m**5. Find the second derivative of x(f) wrt f.\nAnswer: 174*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 192 = z. What is the remainder when z is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 189*d**2 + 1249*d + 144. Calculate s(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 359112451605?\nAnswer: 359112451605.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - j - 2021 = 2*j, 4*u - 1602 = -5*j. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1184119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1 - 10 + 2*z - 20. Let f be p(17). Suppose -f*l = 20, 2*v - 5*l - 26 = -v. Calculate the least common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + ((6*sqrt(432)*-2 - sqrt(432) - 1*sqrt(432)*2) + 1)**2 + 5).\nAnswer: -486025 + 1800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/3, 2\/15, 0.4, 32?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 16*2\/4. Let k(n) = n + 10. Let j be k(0). Suppose -4 - j = -d. Solve -d = 3*p + 4*l, 0 = -g*p - p - 2*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18683, -18797, -19107, -19709, -20699, -22173?\nAnswer: -24227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1102012 (base 3) to base 4\nAnswer: 100013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*b + 11*b - 15*b as w + p*b and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2058 < 2891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a3a8 (base 11) to base 4.\nAnswer: 22201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p*z**4 + 1799573*p*z**3 + 781*p - z**2 - 949 wrt z.\nAnswer: -24*p*z + 10797438*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 + 4*v + 2. Let x(n) = n**2 + 9*n. Let u be x(-10). Suppose u*d - 21 = 3*d. Calculate the remainder when d is divided by k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1 + 1)\/(-6). Which is the nearest to 2? (a) 0.2 (b) t (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10648*y**5 + 23639770*y**4\/3 + 267328050*y**3 + 3050248500*y**2 + 33219485000*y\/3 - 5162950000 = 0. What is y?\nAnswer: -705, -130\/11, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 175.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/17, -0.2, 0.4, -14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -488.8792 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6*(1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79599 is divided by 3641.\nAnswer: 3138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 3*p. Let w(g) = 7*g - 10*g + 4*g. Calculate -c(x) - 3*w(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 10*j**2 + 16*j + 298. Let m be v(13). Sort m, 6, -3, 39.\nAnswer: -3, m, 6, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62619 - 33590. List the prime factors of o.\nAnswer: 7, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15373942327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -766\/5, 0, -1\/8?\nAnswer: -766\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 14 - 7 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**2*v**3 - 4*k**2*v**2 + 3*k**2 + 8*k - 291*v**4 wrt v?\nAnswer: 36*k**2 - 6984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/726761 + -3650520515\/4360566. Let q = -842 - o. Find the common denominator of -43\/117 and q.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 158953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6004 and 1580?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2742*i + 88 = 2753*i. Solve 3 = -i*l + 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.7, -1\/242, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(170)\/(sqrt(10) + -6*sqrt(90)).\nAnswer: -6*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 547*x + 547*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 450*k - 3088 + 5429 + 6209 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-1)\/sqrt(6)*5.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -792*n + 3*n**5 - 21 - 1533*n**3 - 369*n**4 - 30*n**5 + 18 - 93 - 12 - 1875*n**2 = 0. What is n?\nAnswer: -6, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5440 - 5525) + -44 + -2?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -1093, -2476, -4415, -6910, -9961, -13568?\nAnswer: -17731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) 56 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (1 - 0))\/(236\/295). Let n(b) be the first derivative of -b + 2\/3*b**3 + 0*b**2 - c. Differentiate n(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - 0) - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*g**2 + 436*g**3 + 208*g**2.\nAnswer: 436*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 546 - 257. Let j = q - 292. Let z = -0.35 - 0.05. Which is the nearest to -0.1? (a) z (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/4 + 17*y**3\/3 - 6*y**2 + 52*y + 33. Does 27 divide f(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/12 + 3)\/((-3)\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(240)*6)\/(1*sqrt(2420)) + -2)*-3.\nAnswer: 6 + 216*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.8, -2, -25, 0.1 in descending order.\nAnswer: 0.8, 0.1, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -179*z - 296. Let q(s) = -4655*s - 7770. Let n(m) = -105*f(m) + 4*q(m). Let y(x) = 13*x**2. Give y(n(b)).\nAnswer: 398125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15898848 divided by -2\nAnswer: 7949424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.55 - -0.3. Let d = 18.75 - x. Let y = -19.000034 + d. Round y to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 3*k**2 + 20*k - k**3 - 10079 + 6*k**2 + 13*k**2 + 10078. Is y(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -621251, -1242504, -1863757, -2485010, -3106263, -3727516?\n\"Answer: -621253*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 + -287. Calculate the common denominator of ((-219)\/144)\/(2\/4) and 4 - 1 - 4\/(g\/68).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/390 + 5*h**4\/39 + 7*h**3\/13 + 2*h**2 + 34. Determine d, given that y(d) = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49105 times 17793\nAnswer: 873725265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12797 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-9))\/(-2) - 3297\/(-378) and 91\/418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1932*i**2 - 2*i + 2615*i**2 + 2350*i**2)*(-i + 2*i**2 + i).\nAnswer: 13794*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-42) + (-340)\/(-14). Suppose 105 = -19*s + z*s. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1194542855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 1 d when three letters picked without replacement from ddadaunnnna.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**3*u*y**2 - 27*f**3*u + 14*f**3*y + 81*f**2*u with respect to y.\nAnswer: -8*f**3*u*y + 14*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + k - 4*k = -17, 4*k - 20 = 0. Let m = -0.62386 + 0.82386. Which is the closest to -1\/4? (a) v (b) 2\/33 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/50 and (139\/(-2919))\/(1\/(-9)) + 1023\/(-1995)?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*(4*sqrt(104) - sqrt(104)))\/(sqrt(80)\/(sqrt(120)\/(sqrt(12)*-2))))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**8\/336 + l**7\/168 - l**6\/36 - 23*l**3\/3 + 13. Let s(q) be the third derivative of c(q). Factor s(m).\nAnswer: 5*m**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253607.\nAnswer: 253607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -566?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**3 + 5*n**4 + 0*n**2 + n**4 + 0*n**2 + (-3*n**2 + 6*n**2 + 2*n**2)*(-5*n**2 + 2*n**2 + 2*n**2) - 3*n**4 - 3*n**4 + 4*n**4.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rszsmryii. Give prob of picking 1 i, 2 s, and 1 r.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(11 - (-148)\/(-12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 13*l + 2. Let w(j) = 2*j + 2. Let h be w(-3). Let t(m) = 2*m**2 - 6*m + 1. What is h*k(s) + 9*t(s)?\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 496586 >= 496642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/235434 and 41\/313912?\nAnswer: 941736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.758205 litres?\nAnswer: 758.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.0052575 and 5?\nAnswer: -5.0262875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -1001111?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8874 + -8878. Suppose -2*x + 5*x = 0. What is the third biggest value in 0.3, x, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 2. Suppose 2*p = -4*w - 38, -3*w = p + 7 + 16. Let t be k(p). Suppose -t + 75 = 5*f. Solve 3*s + f = -a, 0 = -2*s + 5*a + 12 + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 1384 (b) 4 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9298 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100238.\nAnswer: 2, 50119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 15. Let w(n) = -25*n - 28*n + 7 + 52*n - 8 + 4. Give w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtdd when four letters picked without replacement from jwtdd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3613 - -3610. Let z = 29 - 28.78. Which is the nearest to q? (a) 5 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -15. Calculate the remainder when (-572)\/(-1287) + (-38654)\/(-63) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b = 0. Let p = 21 - 15. Suppose -p = -4*n + 2. Sort b, -2, n in descending order.\nAnswer: n, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b1 + 1c1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 - 1. Let f be l(3). Let c be f\/30 - (-146)\/6. Suppose 3 = r - c. What is the highest common factor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3509 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 777166665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499 - 2061\/4. Let z = n + 16. What is the nearest to z in 0.2, -6, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549399 and 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62178 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 7*x**3 - 11*x**3)*(14 - 14 - 17*x**2).\nAnswer: 323*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/3 - 1376*d**3\/3 + 235292*d**2\/3 + 158240*d + 79350 = 0. Calculate d.\nAnswer: -1, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38.6 in -1, -0.033, -3\/2?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-6))\/((-903)\/(-84) - 12). What is the nearest to 570 in 2\/9, -1, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9452.42 to the nearest one hundred.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.8 - -41. Which is the closest to -1? (a) 13 (b) 21 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/210 - 2*b**5\/35 + 3*b**4\/14 - 8*b**3\/21 - 80*b**2. Factor k(v).\nAnswer: 4*(v - 4)*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 81.1, -49\/3, 0.23, 0.2 in decreasing order.\nAnswer: 81.1, 2, 0.23, 0.2, -49\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*((((sqrt(448) - (sqrt(448) + (sqrt(448) - (1 + sqrt(448)) - sqrt(448)))) + 1 - sqrt(448)) + sqrt(448))*-5 + -2*(3*sqrt(448) + 4)))**2.\nAnswer: 53504*sqrt(7) + 873104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 1581?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -85*j**2. Let n(p) = 3*p. What is g(n(i))?\nAnswer: -765*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 - 3*z - 8. Let f be l(-4). Sort -7, 1, f.\nAnswer: -7, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w**2. Let i be (-5 - -2)*(6 - 5 - 2). Let x(s) = -8 + 3 - i*s**2 + 5. Calculate p(x(g)).\nAnswer: -162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 24 = 2*f, -5*m + m + 13 = 3*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a4 + -94?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65546, 65545, 65544, 65543, 65542?\nAnswer: 65541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6999506 divided by -2\nAnswer: 3499753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let z be -3*(3 - 22\/6). Let s(n) = z*n**2 - 4*n**2 + 0*n**2 + 4*n**2. Give s(l(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165 - -169. Suppose -6 = -3*b + 9, -4*t - u*b = -28. Solve 0 = -r + 3 + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/5490 and 77\/1098?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 3*o + 6. Let y be w(-5). Let t be (-1)\/y - (-395)\/4. Suppose -7 = 5*p - 62. What is the highest common factor of t and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(34)\/sqrt(2) - sqrt(17))**2) + 1 - ((sqrt(1088) - 2*sqrt(1088)) + sqrt(1088))**2.\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*t**4 + t**2 + 81*t**4 - 9406 - 19*t**3 + 9403 + t in the form m*t**2 + h*t**3 + i*t + u*t**4 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7391 (b) -24 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 - (-4 - -27 - 62)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*j**5\/4 + 4600*j**4 + 688085*j**3\/4 + 404059*j**2\/2 + 80227*j + 10658.\nAnswer: (j + 73)**2*(5*j + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-7)*v**(-4\/5)*v\/v**1*v*v*v**(-4\/9))**(5\/2) assuming v is positive.\nAnswer: v**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*o = 507, -4*c = -5*o - 0*o - 509. Let g be (1\/(-7))\/((-7)\/6160). Let y = g - c. What is the third biggest value in 2\/9, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10985*k - 4*t + 114 = 10987*k, -31 + 97 = 4*k + 2*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 < 4418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 57, -5, -4, 5.\nAnswer: -5, -4, 0, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 9*f - 40 - 51 + f**2 + 92 to the form v*f**2 + w*f**3 + b*f + d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51040.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5 and (2\/56)\/(3\/((-1368)\/(-10))).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2773\/3 + -926. Which is the biggest value? (a) 0.14 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5*i - 17 = 0. Let t = i + -12. Sort 3, t, -3 in decreasing order.\nAnswer: t, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 + 14*t**3\/3 + 7*t**2 - 7*t + 30. What is the remainder when l(-12) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145.6 + 145.3. Let m be 17\/21 + 4\/(-6). Sort m, 0.1, -1, t.\nAnswer: -1, t, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(sqrt(9)*-1) + -2*(sqrt(13) - (0 + sqrt(13))))*1)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**2 - 51*n + 275. List the prime factors of j(-26).\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 times 0.3?\nAnswer: -115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from wswskssswswswsw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-51) - (-2037)\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-663)\/(-65) + 1338*(-25)\/375\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 512*c**3 + 7*c - c + 511*c**3 + 2*c.\nAnswer: -c**3 + 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s - p - 16, -5*p - 6 = 2*s. Let d = s - -5. Solve 5*l + 15 = y, 3*l + y + 7 = d*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148405*p**3 - 121025*p?\nAnswer: -890430*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120474426*i**2 - 2978005*i + 8.\nAnswer: 240948852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 9564939?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 850374761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/2)\/l)\/l)**(1\/42))**(-38) assuming l is positive.\nAnswer: l**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69054 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/11 and 13\/315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 7*s - 1. What is o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2254*s + 26. Let d be g(-1). Let c = -1241 + d. What are the prime factors of c?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:46 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4 - -74) + -152?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1269993 and 2963317.\nAnswer: 8889951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by 8\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 94586160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.265658 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660760426 to the power of 1\/2, to the nearest integer?\nAnswer: 40752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 3*d - 5. Let x be (-11)\/2 + 1\/2. Is z(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/60 - 205*y**4\/24 + 69*y**3 - 8856*y**2. Factor c(n).\nAnswer: -(n - 2)*(n + 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17896309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7769 to the nearest one hundred.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*v + 15 + 3, 0 = -4*n + 2*v + 44. Suppose 2*m + 40 = n*m. Let s(c) = c**3 - 5*c**2 + 4*c + 8. Let t be s(m). Solve 2*l + t = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10783*f**3 + 10462*f**3 + 6*f - 2*f - 2*f.\nAnswer: -321*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -113. Let y(w) = 6*w**3 - 220*w**2 - 61*w + 39. Let p be y(37). Calculate the highest common divisor of p and n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 9) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1708 times 208631\nAnswer: 356341748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1033?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/10*(-1223)\/11007.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1583107\/3 or 527701?\nAnswer: 1583107\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.88434 * 0.6.\nAnswer: -1.730604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 171, 183, 195, 207, 219?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c - 2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 18*y - 66. Let w be (-40)\/(-26) + 690\/1495 + 1*5. Calculate p(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 101 + 4\/5*b**4 - 208*b**2 + 320*b + 736\/15*b**3 - 1\/15*b**6 - 28\/25*b**5. Suppose x(p) = 0. What is p?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + 5*z - 9*z**3 + 2*z**3 + 0*z**3 + 0*z**3 + (19*z - 169 + 169)*(-2 - 3*z**2 + 2).\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 2*h**3 - h - 8*h**2 - 2*h**3. Is 6 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyeeyeyyeyeyyyyeyy. Give prob of picking 2 y.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 5*f**2 - 5*f**2 + 5*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9688 is divided by 4841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:06 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40638\/30 + (-3)\/5. Suppose 1746 = q - r. What is q rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/15 - t**4\/24 + 6*t**2. What is the second derivative of u(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {p: 4, l: 2, b: 6, o: 4, q: 3, m: 1}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlkl when four letters picked without replacement from llnlllllkklnl.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3501082 and 2210?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/9, -483\/4, 0.\nAnswer: -483\/4, -0.4, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*j - 11*j + 21*j + 9 + 231*j**2 - 230*j**2 to d + w*j + z*j**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 4. Let c(u) = -u**2 - 7*u + 24. Let g be c(a). What is the greatest common divisor of g and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 9772302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752943417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -40*(-16)\/64 - 3. Solve x*v + 1442 = 1498 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 2*c**2 - 22*c + 166. Calculate g(9).\nAnswer: -1652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 22.068. Round k to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 l when four letters picked without replacement from llbqbbbllouoooooo.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 6327268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 145 + 141 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 9. Let z = -76 + 71. Let p(a) = a - 1. Let j be p(5). Let q(d) = -8. Let r(n) = j*h(n) + z*q(n). What is the first derivative of r(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 20. Solve h - 14 = -w*g, 0*g + 3*h - 10 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5520 = -0*u - 4*g, 4*u = 2*g + 11020. Let h = u + -30343\/11. What is the common denominator of 23\/8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*i - 8 = -214*i. Let z be ((-128)\/40)\/(((-16)\/(-30))\/i). What is the greatest common factor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -254\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.193 - 0.193. Let g = m - 64.9999678. Round g to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133539044 is divided by 507753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 184194*z + 21776664.\nAnswer: -3*(z - 61516)*(z + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 563*t - t**2 + 565*t - 1115*t - 13. Determine h(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 + 7*s + 7. Let r be 6 - (-28 - 2) - 2. Let w = -40 + r. Determine k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44\/79, 2\/5, -1, 946?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v - 111*v - v.\nAnswer: -100*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5294281 or -5294274?\nAnswer: -5294281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 827, 1090, 1351, 1610, 1867, 2122?\n\"Answer: -m**2 + 266*m + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + 13\/(-4). Let w = -39 - -41. Let n(h) = h**3 - 4*h**2 - h - 1. Let c(m) = -3*m**3 + 8*m**2 + 1. Let g(d) = w*c(d) + 5*n(d). Calculate g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 283855240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(6\/11)*j)*j**(1\/2)*(j**(3\/5)\/j)**(-1\/11) assuming j is positive.\nAnswer: j**(-111\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6425019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 0.570053\nAnswer: 0.3990371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (-2 + sqrt(1900) + (sqrt(1900) + 1 + sqrt(1900))**2)) + -1 + (-1*sqrt(1900))**2 + -1*(-2 + (0 + sqrt(1900))**2 - sqrt(1900)).\nAnswer: -7598 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkz when three letters picked without replacement from kzzfgkgf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 5 - -1 - -190. Let n = v + -184. Factor -2\/9*c**3 + 0 + 0*c + 2\/9*c**n - 2\/9*c**2 + 2\/9*c**4.\nAnswer: 2*c**2*(c - 1)*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 260\/80 + (6\/8 - 1). Suppose j = 5*f + 93, -4*j - z*f + 240 = -155. What is j rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -560, -1285, -2296, -3587, -5152, -6985, -9080?\nAnswer: -11431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = 15*m - 20488. Does 35 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*x - 8*x. Calculate the remainder when (20\/(-6))\/(12\/x) is divided by (3\/2)\/((-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(200) + sqrt(16)\/(sqrt(8) + sqrt(72)) - (sqrt(100)\/sqrt(2)*4 + -5)))**2.\nAnswer: 410*sqrt(2) + 1881\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-68)\/6)\/2. Let j(t) = 10*t**2 - 3*t + 4. Let y be j(3). Calculate the greatest common factor of y and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*r - 54, -4*c - 4243 = -5*r + 4233 - 8425 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/2250 and 143\/1260?\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40407907 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 798532*c - 2395603. Give i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -63*m**2. Let z(i) = -731*i + 731*i - 5*i**2. What is z(o(h))?\nAnswer: -19845*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {y: 4, c: 7, l: 1, z: 2, w: 1, k: 3}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3946 - 50*h**2 + 3946 + 47*h**4 + (h**4 - 4*h**4 + h**4)*(1 - 1 - 1).\nAnswer: 49*h**4 - 50*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-8)*-18*504\/(-3888)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 781938, 781936, 781924, 781896, 781846, 781768?\n\"Answer: -a**3 + a**2 + 2*a + 781936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-153)\/(-34)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 18*j - 5*j - 11*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3722 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 3*k + 3, 0 = -9*n + 6*n - 3*k + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4*z**2 - 5*z + 5. Let v be w(-5). Let k = -10927\/23 - -475. Let a = 453.5 - 453. Put 3\/2, k, v, a in ascending order.\nAnswer: k, a, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30960 and 0.04.\nAnswer: 30960.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.427 - 1.127. Which is the fourth biggest value? (a) -229 (b) 1 (c) f (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 5\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 3*v + 2*v)*(-5218*v - 433*v**2 + 5218*v + (v + 3*v - 3*v)*(0*v + 5*v - 4*v)) to the form d*v**3 + b*v + l*v**2 + y and give d.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r. Let s(h) = 6*h**2 - 11*h + 5. Let a(v) = -s(v) + 5*x(v). Solve a(n) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 645 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - 10100202100100?\nAnswer: -10100202022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11616 and -98.\nAnswer: 11.38368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:30 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -2 + -6 + -313 + 335?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*q**2 - 746*p*q - 55*p + 1440*q**2 + 202 wrt p.\nAnswer: 2*q**2 - 746*q - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*n - 52, 2*t - 19 = 2*n - 3*n. Let k = n - 1. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 51.28.\nAnswer: -51.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/3768 and 41\/22992.\nAnswer: 3609744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71505*s**3 - 113*s + 831700?\nAnswer: 214515*s**2 - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2219 = -183*p + 3685 - 963. Let o = -8 + 24. Calculate the remainder when p is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, c: 1, g: 4, d: 2}. What is prob of sequence ggg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -212. What is the greatest common factor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*c - 1 - 40, -4*c - 2*h = -20. Suppose -8 = -5*b + c. Suppose 0 = -b*s + 2*s + 53. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 54 = -2*c, -5*c + 5839 = 5*h + 5899 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**3 - 317*k - 71*k + 534*k - 72*k - 74*k.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6\/622771 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/81, -19, -0.13, -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 956.\nAnswer: 956.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(1\/29))**(-1\/13)\/((m*m**(-1\/4))**(3\/22))**(-22) assuming m is positive.\nAnswer: m**(3397\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m\/m**(-2\/15)))\/m)\/m**(-4\/13))**(-10))**(-18) assuming m is positive.\nAnswer: m**(-4272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/(-252))\/(9\/(-564)) and -143\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14 + 80*g**4 + 77*g**4 + 60*g**4 - 5*g**2 - 243*g**4 wrt g.\nAnswer: -624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19239, -31520, -43801, -56082?\nAnswer: -68363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 12:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -203*y**3\/3 + 5285. Let f(b) = 36*b**2. Calculate l(f(q)).\nAnswer: -263088*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/198339 and 79\/4818471.\nAnswer: 81914007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from hjwjjwjwj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*k)*(4*k - k - 5*k) + 2 - 2 - 2*k**2 + (-4 + 1 + 1)*(2*k**2 - 1 + 1).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9291.654l?\nAnswer: 9291654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -149 + -45?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -952*q - 5103 - 30121 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107511 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from mchcyccmmc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*a**2 - 116*a**2 + 48*a**2 + (4*a - 6*a + 3*a)*(-3*a - a + 3*a).\nAnswer: -198*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a = -62*a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + 4 - (-10 + 23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -1.2, 2, 4\/7, 3\/364?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/120 + x**5\/30 + x**4\/12 - x**3\/3 + 3*x**2. Suppose -6*g + 30 = -11*g. Let s be 1\/(g\/(-9) - 1). What is u(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Let v = 43 - 47. Let x(y) = 2*y**3 + 6*y**2 + 2*y - 2. Let g(a) = 2*a**3 + 6*a**2 + a - 3. Let h(o) = k*x(o) + v*g(o). Factor h(n).\nAnswer: 2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 1, m: 7, n: 2, v: 8}. Give prob of sequence vmm.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-10)\/(-4)*(-86)\/(-215)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + j. Let h(q) = -6*q**2 - 2*q + 4. Let l(k) = -25*k**2 - 9*k + 18. Let v(d) = -9*h(d) + 2*l(d). Give v(n(z)).\nAnswer: 36*z**4 - 24*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-20)\/15)\/((-1)\/(-708000)). What is c rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 3*p + 124 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(-2*f + 4*f + 0*f)*(0*f - 17 + f + 15) to the form x*f + y*f**2 + k and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 2. Let l(b) = 16*b + 11. Let i(j) = -2*l(j) + 10*q(j). What is i(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/684 and 22252\/305520 + 14\/(-469).\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 2*l + 5, 2*a - 3 = -l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = f + 5, -h - 4*f + 13 = -5. Let j be h*(-2)\/(-2) + 455. Suppose 3*c + j = 2376. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3275*a - 289. Is 4 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(170) - (sqrt(170) - -6*-2*sqrt(170)) - sqrt(170)) + -2*sqrt(170)*5 + sqrt(170)))\/(-1*sqrt(160)*-1 - 1*(sqrt(160)*-2 + sqrt(160))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 821\/6 + -2749\/21. What is the common denominator of -47\/20 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**32)\/q)**(1\/3) assuming q is positive.\nAnswer: q**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 105 = -5*b, -3*g + 95 = 3*b + 2*b. Let a(x) = x + 8. Let w be a(-6). What is the highest common factor of w and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + -22)*4\/6 and 113\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*k = 3*k - 340, t - 68 = -4*k. Let g be (-3)\/2 - t\/8. List the prime factors of (-6)\/(-4)*g\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*(-1)\/(36\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 1 - 7. Suppose -3*q + 6 + 6 = 0. Find the second derivative of 5*f - 2*f**q - y*f + 5*f wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z = -3*t + 69*z + 23, -9 = -3*t + 3*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31211 * -0.1\nAnswer: 3121.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19936.52997 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -102.89 and -0.2?\nAnswer: 102.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-1 + (-64)\/(-73)) and -47\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*h - 56 - 288, 5*y - 4*h + 430 = 0. Let x = 125 + y. Suppose -4*s - x = -95. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = 31*l - 368 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwng when four letters picked without replacement from {o: 4, w: 2, g: 12, n: 2}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 904033.7 nanometers in micrometers?\nAnswer: 904.0337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39999597.\nAnswer: 3, 11, 199, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.006 - 4.606. Round t to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 - 51. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(3487 + 142*n**3 - 3487)*(14*n**2 + 19*n**2 - 7*n**2) - 4*n**2 + 4*n**2 + n**5.\nAnswer: -7383*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*v - 160. Let o = v - 51. Suppose 6*j - 3*j - 36 = -r, 0 = 2*r + o*j - 72. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20 - 9 = -5*z - 83 + 10, -8*z = 10849*b - 10844*b + 138 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -3, 4, -5 in descending order.\nAnswer: 4, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 148\/1661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -108097)*(-40)\/3. Let z = -441240 - f. Round z to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-78) - 1846\/(-12). Let m(p) = -83*p - 1. Let k be m(-3). Let q = k - l. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/22*(6240\/(-442) + 4\/34).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/9*(-99)\/4. Let d = y - -257. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.998491 rounded to 2 decimal places?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/189 - ((-22)\/18 + -1). Let h(p) = -3*p**2 + p + 2. Give h(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 134. Let z be ((-178)\/u)\/(57\/836). Let n = -874 - z. Find the common denominator of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5913521 to the nearest integer?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055020 (base 7) in base 10?\nAnswer: 249032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142105.593 rounded to the nearest 10?\nAnswer: 142110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/9, -1, -0.0898, 21.\nAnswer: -1, -1\/9, -0.0898, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1491743*-5.\nAnswer: -7458715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 201?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 50*y. Let w be l(-2). Let u be (-1 + -1)\/(w\/(-8)). Let x = -59\/100 + u. Which is greater: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmq when four letters picked without replacement from qqmqqmmqqmqqmmqm.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -696.2.\nAnswer: 348.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*c + 211*c - 622*c)*(-21*c**2 - 3*c**2 + 12*c**2) + ((0*c + c**2 + 0*c)*(-4 + 3 + 0) - 2*c**2 + 6*c**2 - 2*c**2)*(-3*c + 2*c - 3*c).\nAnswer: 2984*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 95 - 174)*(-a - a + a).\nAnswer: 264*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ird when three letters picked without replacement from {i: 7, r: 4, d: 6}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + t**2 - 9*t + 9. Let o be a(2). Solve 13 = v + 2*j, j - 2*j = o*v - 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -0.13 (c) -7.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178729163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-5) + (-4)\/2. Solve 0*w + k = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-7 + 11)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -315, -2\/9, -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20330301103 - 10?\nAnswer: 20330301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(3\/7)*(z*(z**(3\/8)*z)\/z)\/z)\/(z**(-1\/6)\/z**(7\/6)))**(1\/14) assuming z is positive.\nAnswer: z**(383\/2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.636 - 12.4. What is z rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*m + 9, -3*g + 4*m - 14 = -2. Put 3, g, -2 in decreasing order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)*j**(-2\/27))**(-1\/37))**(-1\/13) assuming j is positive.\nAnswer: j**(-83\/12987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*d**2 - 2\/11 + 0*d = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 279971569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 9*p - 5. Let z be u(-6). Let d = 8 - z. What is the units digit of d*9\/30*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -462 - -634. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43860*-11.2.\nAnswer: 491232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -47898087.9715 - -0.5?\nAnswer: -47898087.4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from ehxhgvd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2770629728+0\nAnswer: -2770629728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22\/26*-1*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 3.1. Let h = -5.11 - -0.11. Let g be 2\/8 + ((-1)\/2 - 0). Sort o, h, g.\nAnswer: h, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 2*u, -q - 2*q - 4*u = -38. Suppose 0 = -2*y - 11 + 43. Suppose -4*p + 4 = -y. Calculate the smallest common multiple of p and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -991 + 941.3. Let t = 6.7 + s. Let a = -43.0164 - t. What is a rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*w + 19, 5*n - 15 = -5*w + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -333113022 (base 5) in base 11?\nAnswer: -905954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/(-1) - -2. Let w be (0 + 0)\/(0 + 1\/(-7) - 1800\/(-350)). Let g = -2 + 4. Which is the closest to w? (a) 2\/13 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 10*n**2 - 7*n - 30. Let s be v(-10). Let w = -4 + 12. What is the greatest common factor of w and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26115840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*t + 64*t = 26*t - 1440 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*j + 2. Suppose -h = -s - 25, j = -4*h + 3*h - 5*s. What is the highest common divisor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from jjzjzjzl?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -2798964 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434482, -434479, -434476, -434473, -434470?\nAnswer: -434467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/(-2))*-3. Let i = -331 - -471. Let g = 698\/5 - i. Which is the biggest value? (a) k (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 13 + -7 + (20 - 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 32 = -5*n. Suppose -40 = -5*c - 5*s, 0*c - 5*s = -5*c + 40. Calculate the remainder when c is divided by 1 + n + -4 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5941 - -5945. Let z = 1256 + -590. Suppose -4*t + z = 2*x, -5*t = 3*x - v*x + 340. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -26. Suppose -20 = 5*s, j*o + 3*s - 419 = 2*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 3*k - 5*k + 3. Suppose b = 3*f - 7, -5*b - f - 3*f - 16 = 0. Let z(c) = 5 - 1 + c + 0. Give b*h(q) + 3*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(832) + sqrt(832) + 0)*-3*3)**2.\nAnswer: 4313088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49085 + 49092.43722. Let v = i - 28.43987. Let k = 21 + v. What is k rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = k + 5*d + 122, -2*k - d - 78 = 3*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:47 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 - 4*h - 1. Let n be w(4). Let x = -29 - n. What is the units digit of 546\/10 - 24\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(132) + sqrt(132))*-3)\/sqrt(6))\/(sqrt(2) + (sqrt(162) + sqrt(18) + sqrt(18))\/sqrt(9) + 5*sqrt(2)*1).\nAnswer: 6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 9 - 5. Is (-2 - o)*1 + (-1 - -414) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 705845.215843 - 142.\nAnswer: 705703.215843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.414 - 0.014. Let h = -89 - -89.3. What is the biggest value in n, 0.8, h, 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 - 3*b**2 + 0*b + 1\/165*b**5 - 1\/132*b**4 - 1\/33*b**3. Factor p(w).\nAnswer: 2*(w - 1)*(2*w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:12 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*m**4 - 82*m + 49906 wrt m.\nAnswer: 248*m**3 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**3 - k**2 - 2. Is 41 a factor of l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - 5 - 543\/(-54) and -3\/406.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2) + 4 + -1. Let j(o) = 49*o - 1. Let f(g) = 10*g - 33. Calculate the remainder when j(u) is divided by f(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlllbbbubbblhbu. Give prob of picking 2 u and 1 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -135\/2. Let g be (-1)\/(-2)*(-6)\/(-8). Which is the biggest value? (a) g (b) x (c) 5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-7))\/((-40)\/105 - 4\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5097 - -5331. What is the smallest common multiple of i and 390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032676943 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 19 = 2*q + 6, 0 = 3*q - j - 9. Let i(d) = 3*d**2 - d - 4. Let n be i(q). Suppose -n + 61 = 5*o. What is the lowest common multiple of o and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.282 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29343631 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x + 4*x. Suppose -7*o = -9*o - 9*o. What is the second smallest value in o, 1, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 23. Suppose -3*j = k - 72 + r, -238 = -4*k - j. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182531 + -0.0408263.\nAnswer: 182530.9591737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 + 3, -3*i + 9 = 2*r. Suppose -4*z = -2*h + 2, -z + 3 = 3*h - r*h. Which is smaller: z or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(54))\/(sqrt(1210) - sqrt(1210)*-2 - sqrt(1210))*6.\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from fulauvfualau.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4))\/(297\/(-36)) + 5946075\/165 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21884, -87549, -196990, -350207, -547200, -787969, -1072514?\n\"Answer: -21888*z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (12 + (9 - -22 - -1))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*c**3 + 95*c**3 + 21*c + 86*c**3.\nAnswer: c**3 + 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 - 119\/21) + 5)*6. Let s(p) = 3*p**3 - 2*p**2 + 2*p + 2. Give s(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180557 is divided by 29974?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**2 + 79*f - 5. Let u be a(-10). Solve 0*t - 3*t = -4*o - 22, -u*t = 5*o + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l + 2. Let g(v) = 13*v - 5. Suppose 40*i + 58 - 138 = 0. Give i*g(u) + 5*f(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + w - 9 = 0, 0 = -1390*y + 1393*y + 5*w + 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1107, 1109, 1111?\n\"Answer: 2*d + 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114333 - 2?\nAnswer: -114340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(638\/1595)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 4*p**2 + 181*p + 491. Give i(-5).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369f (base 16) to base 13.\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261.11 or 7?\nAnswer: 261.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4772 by 4.\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/6 - 2*t**2 + 114*t. Let p be -3 + (0\/(6 + -3))\/(-1). Determine r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.78699 days to minutes.\nAnswer: 132173.2656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2699 by 24836.\nAnswer: 2699\/24836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-22) + 2\/11. Solve 0 = k - 5 - i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, -5*f - 24 = -6*f + 4*v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 112*z + 112*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + j + 34 = 0, -113*j = z - 109*j + 22 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -383, 0, 2 in ascending order.\nAnswer: -383, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 11. Suppose i - c*v - 5 = -2*i, 5*i - 5*v = 15. Suppose i = -4*m - 15. Which is smaller: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**5\/60 - 5*m**4\/24 - m**3 + 2*m**2 - 6. Let x(b) be the second derivative of u(b). Give x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 + 3*d - 3*d + (2*d**3 + d**3 - 5*d**3)*(20 + 14 - 25) in the form f + w*d**2 + m*d + q*d**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryss when four letters picked without replacement from sisssraisryrrsirsrs?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (902\/(-3))\/((-1)\/((-132)\/(-8))). Let y = 7806 - k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21095*y**3 + 7798*y**2 - 8. Let f(s) = -7036*s**3 - 2599*s**2 + 3. Let h(g) = -8*f(g) - 3*j(g). Find the third derivative of h(a) wrt a.\nAnswer: -41982","meta":{"dup_signals":{},"source":"calculus__differentiate_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 ten thousands digit of 4024371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9854 - -512?\nAnswer: -9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -199. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2624*x - 451. Let i(t) = 35*t + 6. Calculate -451*i(w) - 6*q(w).\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:00 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {l: 1, d: 4, u: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 581 = 727. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**3)*l*l*l*l**(1\/2)*l*l)\/((l*l**(-2)*l)\/l*l*l\/l**(5\/4)*l*l) assuming l is positive.\nAnswer: l**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1807751, 1807762, 1807773, 1807784?\n\"Answer: 11*a + 1807740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-4))\/(1\/(-4)). Let h = r - 6. Let v(j) be the first derivative of -3*j**4\/4 - j**3\/3 + 1. Calculate v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2)*1 + 3*sqrt(2)*1)**2*6 - ((sqrt(22)\/(sqrt(11) + sqrt(55)\/sqrt(5)))**2 + sqrt(4)\/(sqrt(2)*-3)).\nAnswer: sqrt(2)\/3 + 383\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -78865 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812 and 373835.\nAnswer: 43364860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -1\/30*v**6 + 0*v**5 + v**2 + 0 + 0*v**3 - v + 0*v**4. Differentiate k(w) with respect to w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 880 = 6*o - 11*o, -5*o + 868 = u. Suppose -j = -2029 - o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -72, -3, 136, 351, 648, 1033, 1512?\nAnswer: 2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011011 + -10?\nAnswer: 101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 12, 2*l + 0*t = -2*t + 170. Let p = l - 918\/11. Calculate the common denominator of p and -50\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 62 = -12*w + 49*w, 13*w - 4*w + 2*m + 10 = 11*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 14 + 14. Let h be (3\/(-3))\/((-3)\/m - -1). Solve 6*n = 4*n + h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + u = -0*s, u = 2*s - 6. Suppose 2*t + s*x - 19 = 25, -19 = -t - 4*x. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 (base 13) in base 5?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - (-41 + 36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from wxwxwwx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 36 = -34*p. Is 8 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035983229 rounded to five dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 24*u + 1403. Give g(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 6:03 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 + -0.05. Let j = z - -0.4. Let l = j - 0.18. Sort 3, l, -11.\nAnswer: -11, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(15\/(-4)))\/(482\/3615)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -11 + -3 + (8 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -v - 3*v + 78, -3*v + 136 = 4*j. Let r = 63 - j. What is the smallest common multiple of r and 22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 14*y - j = -19, 1 = y - 5*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 114\/32 - (-9)\/(-12) and (-118)\/(-32)*-1 - 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 84 = -2*p + 3*p, 3 = -3*p. Suppose -15*g + r*g = 276. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 greater than 3643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 9*s - 166 = 0. Let l = -77 - s. Let x(u) = 5*u**2 - 28*u + 9. What is the remainder when 83 is divided by x(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1\/3, -2\/21, 0.1, 0.8706?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 4*m - 13, 4*m - 2*c - 12 = 0. Let o(y) = 2*y + m*y - 4*y. Let a(r) be the first derivative of -r**2 - 1. Give a(o(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (-99)\/21 - (-710)\/14. What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 14*y**2 - 13*y + 15. Let k = 69 + -56. Does 13 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*i + 118. What is the remainder when i is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v - 13. Suppose 0 = -4*x + v + 5. Suppose -f = 5*k - 101, -x*k - 3*f + 80 = 17. Solve 0*a = -4*a - k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 1. Let m(w) = 12*w - 2. What is 4*m(h) - 7*t(h)?\nAnswer: 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - 0.18. Let t = 1.2 + -1. Let x = -0.2 + t. What is the third smallest value in -4\/7, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 287*p**5\/5 - 1108*p - 1035. Differentiate l(k) with respect to k.\nAnswer: 1148*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40225*b*n**2 + 61*b*n - 5*b - 4*n wrt n.\nAnswer: 80450*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20100210022 (base 3) to base 10\nAnswer: -125234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 7*l - 6. Let n = 173 + -169. What is r(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00231 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142253 or -8392890\/59?\nAnswer: -142253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**5 - 2*y**5 + 0*y**5 + (2*y**3 + 2*y**2 - 2*y**2)*(-2*y**2 + y**2 + 0*y**2) - 2*y + 2*y**5 + 2*y - y**3 - y**5 + y**3.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.3 - 38.93. Round p to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.633 (b) -1628\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**2 - 8*l - 25\/3.\nAnswer: (l - 25)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvirjjrfrirjifp. Give prob of picking 1 i and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011101110111 (base 2) in base 5?\nAnswer: 3113223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89946448*v**2 - 107332086*v wrt v.\nAnswer: -179892896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4569.696 to 0 dps.\nAnswer: -4570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82894 and 3438?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*f - 291*f - 3248 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -83*l + 381 - 1 + 154 - 97 + 21*l. What is t(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42565750807 + 102?\nAnswer: -42565750705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 4 + 19*m**3 + 9*m**2 - 1 + 6*m. Let r(u) = -9*u**3 - 4*u**2 - 4*u - 1. Let h(s) = -4*d(s) - 9*r(s). Differentiate h(b) wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (1 + sqrt(432) + -1))**2 - (2 + sqrt(300) - (sqrt(3) - (-1*sqrt(3))**2*6)).\nAnswer: -20 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*w - 635 = -a, -4*w + a + 842 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6268399*w**2 + 12536794*w**2 - 6268396*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 2*j, -l - 4*j - 4 - 4 = 0. Solve l*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 48*x + 66 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 32 + 29 - (167 + 1)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780 by -5.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*x - 153, -3*n + 18 - 171 = 3*x. Let k = n - -51. Suppose k = c + 23 - 26. Solve -c*r = 2*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 17*a - 17*a - 9*a.\nAnswer: -9*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z - 4. Let m be x(-9). Suppose m*i - 56 = 9. Calculate the remainder when 24 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 greater than -120172\/529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.1 + -56. Let y = n + -26.1. Let u = -30.9999884 - y. What is u rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/60*70 - (0 - 1). Let n be (1\/3)\/(s\/435). Solve 4 = -n*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-24))\/(130\/1092).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) 122 (c) -3 (d) 1\/24 (e) -0.3 (f) -2 (g) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31377227 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 55. Sort 97, -5, y.\nAnswer: -5, y, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1) + 2\/(-2). Suppose 5*z - 70 = l*z. What is the highest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/5*(-17)\/68.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 234*m**3 - 4104*m**2 - 8262*m + 67797.\nAnswer: 3*(m - 93)*(m - 3)*(m + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.9 and 0.3.\nAnswer: -8.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2549*s + 2. Let y be z(0). Suppose 0*j**3 - 3\/2*j**y + 0*j + 0 + 3\/8*j**4 = 0. Calculate j.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 9*z + 5. Determine g(-14).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -62*c + 1767. Calculate n(28).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 381835 to the power of 1\/2, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 382*3\/6 + 7 + -5. Suppose -l = -3*k + 65. What is k rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-6))\/((44\/(-352))\/(6\/(-16)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909132.\nAnswer: 2, 3, 7, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-522)\/(-24)*16*26\/(-312)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 39 - (-21 - (-9 + -161)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -134, 45, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67865, -543992, -1836343, -4353032, -8502173, -14691880?\n\"Answer: -68019*a**3 + 2*a**2 + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27.95 and -0.00109.\nAnswer: 27.94891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2211717m?\nAnswer: 221171700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a159a54 - -7?\nAnswer: -1a159a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456596 by 322.\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17833 - 17833.1. Which is the second smallest value? (a) -4 (b) x (c) 15.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 25. Suppose -4*d = d - k. Suppose 0*f = -f - 2*l + 4, -d*f = -4*l - 34. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-10))\/(54\/(-180)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627.678ml in litres?\nAnswer: 3.627678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + m - o + 6*o + 24 = 0, -3*m + 36 = -5*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3771258.2 to the nearest ten thousand.\nAnswer: -3770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Let m be -8*(-4 + (d - 16)). Calculate the greatest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-2)\/sqrt(3) - sqrt(48)\/sqrt(2)*-4)\/(sqrt(80)\/(sqrt(10) + sqrt(10)*2 - sqrt(10)) - sqrt(128)).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/153457 in -2, 2\/9, 3, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6267?\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 + 5*r**3 + 15*r**3 - 23*r**3 as h + a*r**2 + g*r + c*r**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/656 and 161\/3876?\nAnswer: 635664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(z**2 - 6*z**2 + 2*z**2) + z - z - z**2 - z**2 - 7*z**2 - 6*z**2.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-33) + 1 + 18*(-38193)\/17226?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 34, 39, 58, 97, 162?\n\"Answer: u**3 - 2*u**2 - 4*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152 + 26676?\nAnswer: 27050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 233?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(27)*-1)\/(sqrt(90)\/sqrt(40) - sqrt(9)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14167208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 583 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -260953 + -2206\nAnswer: -263159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 445*l - 80. Does 36 divide h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (1768\/(-584) - -4). What is the closest to -0.2 in s, 0.1, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*r + 6*r. Suppose -4*l + 38 = -r. Suppose -2*k = 5*p - 25, p = 5*p - l. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225639 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let d = -1 + 8. Suppose a + 1 = d. Let p(l) = 6*l - l**2 - a*l. Determine p(v(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*9\/24)\/((-99)\/132).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 549611 and 283.\nAnswer: 155539913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = 0, 4*k + b - 8 = 3. Suppose -13 = k*o + y, -2*o + 3*y - 2*y = 2. Does 15 divide 4*7 + 5 + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -14. Which is the third biggest value? (a) -1\/2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 5*r - 6*r + 11*r. Let m(j) = -3*j. Let n(o) = 10*o. Let d(w) = -14*m(w) - 4*n(w). Give d(c(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48051?\nAnswer: 3, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13726 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 3, h: 3, e: 5, u: 2}. What is prob of picking 1 d and 1 h?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 35*y + 11 = -34*y, -3*t + 443*y = 438*y - 74 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqyryrrsrryryrrq. Give prob of sequence rrr.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1982 + 1981.99999558. What is y rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-629)\/(-153) - (-3 + -1 - -8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.05224 + -0.05224. Sort z, -4, 4\/5, 0.6, 0.5 in decreasing order.\nAnswer: z, 4\/5, 0.6, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let a(j) = -75345422*j**2. Calculate a(i(r)).\nAnswer: -301381688*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3286, 6666, 10138, 13702?\nAnswer: 17358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/(-732) + -1 + (-18)\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 745623899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3\/3 + 7*p**2\/2 - p - 8. Determine h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4222, 8454, 12688, 16924?\n\"Answer: h**2 + 4229*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 68598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27018 = -3*w + 3*r, -4*w - 6*r + 36004 = -5*r. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f. Let t = 16 - 14. Let z(k) = k**2 - k**2 + 4*k**t. What is z(a(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 + -11?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 10 = 0, -i - 6 = -4*n + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1448*f = 1449*f - 1. Let s be f\/(6 - (-52)\/(-8)). Sort 3, 66, s.\nAnswer: s, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbuyvwj. What is prob of sequence wj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57873 + 57875. Let d be 5\/(-3) + (1 - -1). Which is the nearest to -2\/3? (a) i (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*x + 0*x + 9 = 0, 4*y = -3*x + 8. Let r be 2 - (-3)\/1*y. Is -2 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*k = 3, 0 = 5*f - 7*f - 5*k + 9. Solve -28 = -5*c + 2*g, -5*c - f*g + g = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*u - 4 - 16, -5*d + 25 = 5*u. Suppose -u*w - 3*s = -4*s + 12, -s = w. Let j be 6*(w + 1)*-1. What is the greatest common factor of 18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 - 396\/30)*-5*(-183)\/(-6). What is the highest common divisor of k and 11712?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Suppose 7*g - f*g + j - 7981 = 0, 4*g = 5*j + 6408. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32147104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12322 (base 12) to base 3.\nAnswer: -1020210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:58 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/955040 and 93\/16?\nAnswer: 955040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 109*u + 3333. Calculate o(-25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -8) + (-7 - 3) + 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.36 and -3605682917.7.\nAnswer: -3605682917.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -7) + (-206)\/72. Let h(g) = g**2 - g - 3. Let u be h(2). Let w be ((-3)\/1 + 4)*u. Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*t - 253*t = -181*t - 81903 + 24965 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-824 + 1605 + 1074)*(13 + v - 13).\nAnswer: 1855*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -41*d - 41. Is 4 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082833?\nAnswer: 47, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26624 is divided by 179.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, 35 in descending order.\nAnswer: 35, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 8*d + 18*d + 2*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21738, 31, -4 in decreasing order.\nAnswer: 31, -4, -21738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*m**3 - 24*m**2 + 21*m**3 + 0*m**2 - 42*m**3 to x*m**2 + y*m**3 + q + r*m and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*f)*(-4*f + 7*f - 10*f).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s + 96. Calculate the least common multiple of n(13) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 9. Let z(g) = g - 10. Let s = 16 - 9. Let v(q) = s*h(q) - 6*z(q). Let j be v(7). What is the greatest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4000 and 1440?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22132 is divided by 22126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose -5*n + 14 + 6 = 0. Suppose -s = -2*s + m, -s - 14 = -n*w. Solve -w*d + 25 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-14 + 32) - -24 - -27?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1205*l**3 + 2*l**2 - 6*l - 4. Let x(j) = 725410*j**3 - 1205*j**2 + 3615*j + 2410. Give -1205*m(d) - 2*x(d).\nAnswer: 1205*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 59200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**4\/8 + 1161*p**3\/4 + 87075*p**2\/8 + 99075*p - 110250 = 0.\nAnswer: -735, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(49) - sqrt(3136)*2)*-1)\/(sqrt(77)\/(2*sqrt(77)\/sqrt(7))*6).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*u = -242*u - 411*u + 3036. What is the remainder when 13588 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2611 from -38.947885.\nAnswer: -38.686785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/24621 and -41\/58991916.\nAnswer: 58991916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 70*j - 18 - 16.\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -30. Let n = -4 - -7. Suppose n*d = -d + x. Calculate the remainder when 19 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 3, u: 3}. What is prob of sequence iu?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -210220010221201 (base 3) to base 2\nAnswer: -101100011000101101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -38) + 8 - -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -7 + -4 + 0 + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxwwkwkww. Give prob of sequence wk.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19165, 19170, 19179, 19192?\nAnswer: 19209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99694 minus 271.049?\nAnswer: 99422.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13322013000 (base 4) to base 16.\nAnswer: -1fa1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -171, -432, -819, -1344, -2019, -2856, -3867?\nAnswer: -5064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 1 - 1 - -11. Let n = l - 0. Suppose -m + 4 + n = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1120, -2242, -3364, -4486, -5608, -6730?\n\"Answer: -1122*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 7*x = -5*l - 25, -12 = -4*l. Which is bigger: -15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = 0, -z + q - 8 = -4. Let j be 20 - (-3 + z - 1). What is the greatest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4846, 6635, 8424, 10213, 12002?\nAnswer: 13791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.722 to 0 decimal places.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0*n**2 - 2 + 3*n**2 + 15306*n**3 - 118931*n**3 - 2*n**2 + n. Let b be y(-2). Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 20*p**3 + 2*p**2 - 2*p + 1. Let j be t(1). Suppose 4*x + 26 = 38. Calculate the greatest common factor of j and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1431 + 1435. Let p = -6 - -4. Let g = p - -1. What is the nearest to g in m, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 270. Determine f(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(12\/(-21))*-1*((-2132)\/(-2275))\/(-41).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1297\/7 - -185. Let c be 4\/(-6) - (-51)\/9. What is the nearest to 2\/5 in 3\/5, c, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b - 79. Let t be c(0). Let m = 83 + t. Solve m = l - 3*l - 3*v, 0 = -5*l + 2*v - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:30 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**5\/8 + 21*p**4\/8 + 21*p**3\/8 - 57*p**2\/8 - 6*p + 15\/2 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25786, 52013, 78678, 105781?\nAnswer: 133322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 567080 and 567080.\nAnswer: 567080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -1.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*h - 18*h - 17*h + (-1 - 4 + 4)*(-1 + 1 - h) to the form u + t*h and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/28*(-4)\/58. Are -0.1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6*s - 3*s + 16, 2*r + 16 = -5*s. Is (-2549)\/r - (-8)\/((-256)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j - 120 - 12 = 14*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = -2. Let j = -6 - -15. Let f(r) = j - 2*r**2 - 3*r + 2 - 14. Determine f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -30*v**4 + 40*v**3 + 95*v**2 + 30*v. Let j(c) = -31*c**4 + 40*c**3 + 95*c**2 + 30*c. Let o(b) = 5*j(b) - 6*t(b). Factor o(k).\nAnswer: 5*k*(k - 3)*(k + 1)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + 17 - 0\/2. Let g be (3 - 5)*(5 - a). List the prime factors of (-9)\/12 - ((-2217)\/12 + g).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m - 40. Let g = m + 19. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*y - 72908 = -15092. Is 33 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 + -0.12652.\nAnswer: -0.25652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(6) + sqrt(36)\/(3*sqrt(6))))\/(-2*sqrt(363)*5).\nAnswer: 2*sqrt(2)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 23. Suppose l - a = -b, -l - 2*b = b - 9. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umkukkmumumuou. What is prob of sequence kuuo?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1380 - 4*m**2 + 31182*m - m**2 - 31237*m.\nAnswer: -5*(m - 12)*(m + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10601.4329 - -5\nAnswer: -10596.4329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*i - 2*w, 0 = i - 2*w. Sort -11, -2, 2, i in decreasing order.\nAnswer: i, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359339969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 499*h + 161 - 73 - 55*h.\nAnswer: 444*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -39*m**2 - 8*m + 124. What is the hundreds digit of z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227614427 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -256*d - 1950. What is the remainder when n(-22) is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**3 - 30*k**2 - 2*k - 2. Let m(g) = 56*g**3 + 151*g**2 + 11*g + 11. Give -2*m(z) - 11*x(z).\nAnswer: 9*z**3 + 28*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -22 and -5.287179.\nAnswer: -27.287179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -377831593*r**3 + r + 43343119?\nAnswer: -2266989558*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qrqqqqqrrqrqqq?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + 6. Let g = 1.799986 - p. What is g rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75985865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26075 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17955 and 121130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 9. Let j(c) be the first derivative of -5*c**2\/2 + 8*c + 512. Calculate 3*j(x) - 4*w(x).\nAnswer: x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -60. Suppose -s = -a*v + v + 20, -3*v = -3*s. Let k = -5 - -8. Solve -4 = -k*d - 5*y - 2, 12 = s*d + 4*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85073 and 129551.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*f + 11, -4*f + 8 = 3*l - 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 886*p + 138*p + 507*p.\nAnswer: 1531*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247854 and 70902?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 456 - 1520 - 57642*g**4 + 48840*g**4 with respect to g.\nAnswer: -35208*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/12)\/(((-12)\/(-16))\/3). Sort -1, -3, -0.304, k.\nAnswer: k, -3, -1, -0.304","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000002987137 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5\/5 + 128*n**4\/5 + 348*n**3\/5 = 0 for n.\nAnswer: -29, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.039 from -47.54.\nAnswer: -47.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2\/4)\/((-38)\/(-304))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o + (o + 3*o - 5*o)*(-7 + 2 + 3) - 2*o - 3 + 3 + o - 1 + 1 - 5 + 5 + 3*o)*(-4*o**2 - o**2 + 3*o**2 - 3).\nAnswer: -10*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/12))\/r)\/(r**(1\/15)*r)*(r*r\/(r**(-2)\/r)*r)**(1\/6) assuming r is positive.\nAnswer: r**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5475 and 1950.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-3312)\/(-96))*48\/(-198). Suppose -36*n**2 + 0 - 16\/3*n**3 + w*n = 0. Calculate n.\nAnswer: -7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8459304 or -8459308?\nAnswer: -8459308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11820 and 27612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -3*v, v = -3*z + 8 + 1. Suppose 3*i + v*i = 126. Let q = 22 - i. Solve q = 2*f - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*n - 1 + 3 = 0, -4*c + 0*c - 34 = 9*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*l = 6*l + 18, 0 = 5*d - 5*l - 30. Suppose -d*o - 7 = -10. Are -3\/14 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -678773.547 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1 - 27 = 4*y, -4*y = 5*o + 1. Let l = -1 - y. Let d be (-24)\/(-14)*(-322)\/(-69) + -8. Solve 2 = l*a - 2*f, d*f + 3*f + 2 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -119. Let q = p + -114.9. Let h = 10 - 16. Which is the second biggest value? (a) 2\/11 (b) q (c) h (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.72 - -56.72. Let y = k + -56.0007. Round y to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 11*h + 11. Let a be s(10). Let z be 2\/((-1 - -3)*a). Calculate the least common multiple of 1*z\/(-2)*-8 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -21, -5, 2\/9 in decreasing order.\nAnswer: 2\/9, -4\/5, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 112, 252, 438, 664, 924, 1212?\n\"Answer: -b**3 + 32*b**2 - b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*t + 35, -15 + 25 = 2*a. Solve -t*z = 7 - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 970541201, 970541200, 970541199, 970541198, 970541197, 970541196?\n\"Answer: -u + 970541202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 126. Suppose 2*x + 2*y = 3*x - 36, y = 3*x - 83. What is the remainder when 37 is divided by n(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*(-462)\/(-1463)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 5*n, 0*x = -3*n - 4*x + 18. Let z(r) = -r - 6. Let b be z(-6). Let l(d) = -d + d + b*d**n - d**2. Let q(u) = u. What is q(l(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 8. Let x = z - 0. Suppose -3*c - 19 = -i, -4*c - 19 = -x. What is the greatest common factor of i and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12297315 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p + 2)*(5*p**3 + 8*p**2 - 19*p**2 + 12*p**2).\nAnswer: -5*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.7 and -52.\nAnswer: 400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/24252 and 42\/139277.\nAnswer: 78552228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**(-16) assuming f is positive.\nAnswer: f**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 3, j: 4, p: 4, h: 3, f: 1}. Give prob of sequence gqfp.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 411602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4 + (16\/80)\/(16\/620). Let b be 2 + (-2 + 38)\/2. Solve -4*d - q + b - 7 = 0, d + q = n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i**4\/4 + 1903*i**3\/4 + 14817*i**2 - 17280*i + 4096 = 0.\nAnswer: -64, 1\/3, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1151863528 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -7. Suppose -2*p + 49 = -5*l, -p + 4*l = -16 - q. Suppose 3*i + a = 59, -4*i + 5*i = a + p. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 9*l + 18. Let m be b(-7). Let s be 2*m\/(-40) - 114\/180. What is the closest to s in 1\/7, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 640, 961, 1282, 1603?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Let n(c) be the second derivative of 2*c + 1\/15*c**6 + 5\/63*c**7 - 1\/6*c**4 + f*c**2 + 0 - 7\/30*c**5 + 2\/9*c**3. Solve n(s) = 0 for s.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12240 is divided by 1930.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78396039 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31690.\nAnswer: 2, 5, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/57)\/((-24)\/(-9)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -18. What is the remainder when ((-7)\/2)\/(62\/(-1364)) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/33 - 311\/1155. Sort -1, m, 7, 3\/4 in decreasing order.\nAnswer: 7, 3\/4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 195.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 61. Let c be (-8)\/(-24)*3*o. Suppose 0*v = -2*y - 3*v + 47, 4*v = -y + c. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1748 = -20*y + 23572. What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.49 minus 0.5?\nAnswer: -29.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -826.7 + 788. Let q = -102.6 - n. Round q to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49068, -49125, -49194, -49281, -49392, -49533, -49710?\n\"Answer: -b**3 - 50*b - 49017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62852.82 decades to millennia.\nAnswer: 628.5282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1159*d**2 + 15*d - 2668. Let j(x) = 1738*x**2 + 24*x - 4002. Let b(a) = -5*j(a) + 8*u(a). Differentiate b(l) with respect to l.\nAnswer: 1164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*a + 1 - 110*a.\nAnswer: -113*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + v = 81, -5*v = 2*a - 0*v - 67. Let d = 69 - a. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.50993 litres to millilitres.\nAnswer: 65509.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*y**3 + 551*y**2 - 35*y - 6741973.\nAnswer: -48*y**2 + 1102*y - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v - 691*v**2 + 678*v**2 - 7*v. Let p(h) = 8*h**2. Determine p(q(c)).\nAnswer: 1352*c**4 - 416*c**3 + 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.43. Let n(j) = -j**2 - 2*j + 1. Let x be n(-3). Which is the nearest to x? (a) -2\/3 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721100603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32\/56*1386\/(-484)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1340.3 to the nearest 10.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(14)\/sqrt(7)) - ((-4*sqrt(70) + sqrt(70))\/sqrt(10))**2.\nAnswer: -63 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-2)\/4)\/((-3)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71557829?\nAnswer: 7, 47, 263, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*a**3*j + 10*a**3 - 3*a**2 + 80*j - 18 with respect to j.\nAnswer: -9*a**3 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1167906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - m = -148, 3*p - 3*m = p + 66. Let u be p\/(-5)*(-6)\/9. Solve 4*w + 4*q + 8 = 24, -u*w = -2*q + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52709 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10394*f**2 - 2*f + 4. Let v be x(1). Suppose 4*y + 3632 = v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 76*d**2 + 217*d - 136. Calculate the least common multiple of 250 and g(-73).\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:02 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 8*m - 6. Let j be x(-10). Calculate the least common multiple of 34\/j - (-42)\/(-98) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/30)\/(3\/(-3)*-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168073316 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2. Let x(n) be the third derivative of n**7\/315 - n**4 - 22*n**2. Let v(o) be the second derivative of x(o). Determine y(v(d)).\nAnswer: 256*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m. Let w be b(1). Suppose -w*s + 39 = -7*s. Calculate the highest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/(-17))\/((-3)\/27) - (1 + 3). Put -1, 4, g, 859 in increasing order.\nAnswer: -1, 4, g, 859","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6819 + 8205. What is the remainder when t is divided by 685?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380*i**2*x - 16*i*x - 2*i + 5*x wrt i?\nAnswer: -760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -36. Suppose 0 = -m*u - 2*u. Solve 5*k + u = -2*v - 6, -5*v + 6 = 2*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1044 and 83\/3132.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -1, -1886690?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 5768621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296 = -462*g + 516*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6180 is divided by 305.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2898)\/9108)\/((-20)\/55).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + -87 - (4 + 31) - (0 - 1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 + 2. Let b be s(-5). Suppose -b*i - 5*x - 5 = -3*i, 15 = 3*i + 2*x. Let c = -436 - -441. Solve a + r = -1, i*a = 2*r - 0*r - c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 117, 166, 233, 318, 421, 542?\n\"Answer: 9*h**2 + 4*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*4.962\nAnswer: 1.4886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1740 = 5*o, 2*o + 3*h + 27 = 714. Calculate the greatest common divisor of 189 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 2*z - 4*w - 2784 = 68*z + 4228, -3*w + 123 = -z for z.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-30))\/((-3)\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -1, -5 in ascending order.\nAnswer: -57, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/220 and -167\/27852?\nAnswer: 139260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 233. Suppose -q*y = -0*y - 10527. What are the prime factors of y?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14566, -29305, -44062, -58843, -73654, -88501, -103390?\n\"Answer: -n**3 - 3*n**2 - 14723*n + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135 - -131) + 3 + (-3 - -1) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(48)\/(sqrt(4) + -1*(sqrt(4) + sqrt(36))))\/((2*sqrt(28)*6 - sqrt(28))\/(sqrt(14)\/sqrt(2)*5)).\nAnswer: -20*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -22, -19, -16?\n\"Answer: 3*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.28 + 69.279989365. What is r rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*-9.8\nAnswer: -15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 33\/2, -0.5, 0.4, -4, -0.2898, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5818, -11552, -17282, -23008, -28730?\nAnswer: -34448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajcafjjafac. What is prob of sequence fjfc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -48*j - 1. Let w(n) = 98*n + 2. Let k(g) = -2*f(g) - w(g). Let m(z) = -z - 1. Let d(l) = 66*l + 55. Let x(i) = 2*d(i) + 110*m(i). Calculate k(x(s)).\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v + v. Let x = -2 - v. Let b be (-8)\/(-5) + x\/2. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**5 + 13*b**4 - 33*b**3 + 11*b**2 + 5*b = 0.\nAnswer: -5, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*11*12\/(-1980).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1929, 3854, 5779, 7704, 9629?\nAnswer: 11554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 128984.\nAnswer: 128983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5636.62l?\nAnswer: 5636620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55403 divided by -6?\nAnswer: -55403\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11696747.\nAnswer: 11696747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -26 + 1. Let b(x) = 3*x + 18. Let z(j) = j + 3. Let i(g) = b(g) - 2*z(g). Give i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let k(z) = 39*z + 7. Let j(c) = -k(c) - t(c). What is the remainder when 58 is divided by j(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 230 in 3, 3\/2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, -14 in increasing order.\nAnswer: -14, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16677335 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -62*x - 7. Let k(p) = p + 1. Give -6*k(l) - z(l).\nAnswer: 56*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (43 - 3) - (7 + -1) - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9)*1)\/((-9)\/27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14780709 is divided by 7390300?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 11338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-4 + 2 + 8)) + (-2 - -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three quarters of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*m + 3*t, m - t = -2 + 10. Suppose -11 + 41 = m*o. Solve -4*v + o*v = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42076.2457 and 6783.\nAnswer: -35293.2457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*d = -12, 3*s - 235*d = -238*d - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*1 + (-15)\/5. Suppose h = -p + 6, -p - u*h = 2*h - 9. Solve 2*s - p + 13 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - 3*d**3 + 3*d**3 + (24*d**5 - 2*d**5 + d**5)*(1 - 2 + 2)*(2 - 5 + 4).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-3) + 1)\/((-2)\/(-11)). Suppose -2*b - 79206 = -u, f*b + 237615 = 3*u + 6*b. What is u rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851 a factor of 870305031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, -1\/3, 5\/806, -0.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 587868?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8*(-6)\/168)\/((-5)\/(-1085)))\/1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, -0.1, 4\/13 in ascending order.\nAnswer: -1\/2, -0.1, 4\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -443884, -443891, -443908, -443941, -443996, -444079?\n\"Answer: -p**3 + p**2 - 3*p - 443881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*d**2 - 56*d - 1 + d**3 + 25*d + 30*d in the form l*d**2 + k*d**3 + i + y*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 7. Suppose 4*q = 4*j - 4 - 28, 0 = 3*q + 15. Suppose -j*f = 13 - 4. Let a = 3 + f. What is m(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 0.325\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 2731514.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by 6.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74d2 + 5?\nAnswer: 74d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -1365825*o + 1365813*o for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2314)\/(-267)*(-2 + (-7)\/(-2)). Let k = -456 - -462. Solve 0 = k*d - z - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520 rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) 13391 (c) -0.201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9) + -2 + (-51)\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11562 and 1399425.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 2*c = 26, -5*q - 287*c + 286*c = 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -296, -4\/3, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -0.9. Let n = 8.9 - 26.9. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -578*h + 578*h + 2*h**3 - 3*h**2 in the form z*h**3 + j*h**2 + i + l*h and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1501331657.6 to the nearest one million.\nAnswer: -1501000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 85*m**2 + 120*m - 121. Let r be s(-41). Let x(g) = 2*g - 4. Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*c**2 + 50*c**2 + 0*c + 9*c + 45*c**2 to the form i + t*c + q*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:03 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1. Let x(f) = f + 36. Let m(g) = -5*n(g) - x(g). Let a(b) = -2*b**2. Determine m(a(l)).\nAnswer: 2*l**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -w - 237 + 2039, 4*w - 5*r - 7214 = 0. Is 43 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236551235 to the power of 1\/2, to the nearest integer?\nAnswer: 65089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/5)\/((-14)\/(-70)). What is the nearest to -2\/5 in -4, s, 65?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183016551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4173080 and 161\/240?\nAnswer: 25038480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -57 (b) -0.23 (c) -26 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.4 (c) -0.2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 29*s - 96. What is l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*o + 32 = 0, -2*z - 3166*o = -3206*o - 110 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14236 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340\/13 - -26. Let o = 0.224 + -0.224. Which is the third biggest value? (a) o (b) v (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -8. Let d = 6 + q. Solve -3*k - 15 = d*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (-63 + 30 - (-29 - 114)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -38922502.825302.\nAnswer: 38922503.825302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65263 and 561?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 5. Let w(k) = k + 8. Let i be w(0). Let u be n(i). Suppose 2*l - u*l + 9 = 0. Solve 0*f + l = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) 0.07 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 105*d**3 + 6*d**2 - 68*d. Let m(n) = 1365*n**3 + 80*n**2 - 885*n. Let t(h) = 3*m(h) - 40*u(h). Find the second derivative of t(i) wrt i.\nAnswer: -630*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 26*i + 4 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-34) - 31\/(-119).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -44. Suppose -5*p + 10*p = d. Suppose -p*g = -2*c - 2*g + 20, g + 22 = 3*c. Calculate the remainder when 34 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {z: 1, s: 3, o: 1, i: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddpppdapmdmcpppcacdp. Give prob of picking 2 d and 2 p.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -50831, 0.2 in ascending order.\nAnswer: -50831, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7230020 divided by -26\nAnswer: 3615010\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 4008048?\nAnswer: 100201200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 14630.\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 433*z - 849. Determine a(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7749 rounded to 2 dps?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.4 in 2\/7, 0.08, 1, 0.3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287691855.\nAnswer: 3, 5, 11, 227, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51073 - 65382 = -5*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = 3*s + s. Suppose 0 = 2*i - 110 - 258. Let w = s + i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w + 0*w**2 + w**2 + 4 - w**3 + 25*w. Let r be (-60)\/(-16)*(0 + -4). Let j = r - -18. Determine c(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 3 + -3 + -2. Let v(i) = 2 - 1 - i + i**3 - b. Let n(w) = 2*w**4 + 8*w**3 + 18*w**2 + 16*w + 6. Let m(k) = n(k) + 2*v(k). Let m(q) = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -36, -32?\n\"Answer: 4*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3)\/s**(-2)*s**(1\/7)*s\/(s\/(s*(s*s\/(s**(-7)\/s)*s)\/s)*s*s)*s assuming s is positive.\nAnswer: s**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1971*s**2 + 2*s. Let y(g) = 1973*g**2 + 2*g. What is 4*d(r) - 3*y(r)?\nAnswer: 1965*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1)*10\/(-240)*-8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*10*15\/(675\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11*27\/(-198) + 0 + -1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7507 + -7291. What is the lowest common multiple of 270 and p?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.5509 years in millennia?\nAnswer: 0.4885509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(-1)*f\/(f\/((f\/f**(-2))\/f))*f**3 assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 - -234.971.\nAnswer: 432.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x - 1. Let a(l) = -7*l - 2. Let f be (15 + 0)\/(-8 + 7). Let i be (-44)\/10 - (-9)\/f. Determine i*g(p) + 3*a(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7344228 < -7344228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 + 863 = 45*s. Solve 21*v - s*v = 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 6*a + 1. Let s be d(-6). Let x be (15\/(-25))\/(s\/(-5)). Let h(q) = q**2 + 3*q - 3. Let m be h(-4). Sort -4, x, m in decreasing order.\nAnswer: x, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 2*h + 3*h - 7, -4*m + 3*h + 18 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -34783.68 times 6\nAnswer: -208702.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-398)\/(-20) + -14*(-8 - (-1782)\/189)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (364\/(-98))\/(6\/(-56))*(-21)\/(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/49 and 13\/56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*z + 31677 + 5786 = -19573 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 - (58 + -145 - 55).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16931641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5\/8)*h**(7\/2)*h)\/(h\/(h\/(h\/h**(-4)))*((h*h*h**(-2\/13)*h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-205\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 8*z - 3. Let y be p(-9). Let u(c) = c**3 + 2*c**2 - 2. Let q be u(-2). Let b(d) = d**2 + 2*d + 3. Let m be b(q). Solve m*g - y = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*6062 - (-1)\/(-3 - (-48)\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m - 58*m + 50569*m**2 + 28*m.\nAnswer: 50569*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -97*b + 491. Let i be f(5). Solve i*t - 17*t = -33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f**4 - 4*f + 6. Let j(a) = a**4 - a + 1. Let o(g) = -d(g) + 6*j(g). Find the second derivative of o(c) wrt c.\nAnswer: 228*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*a + 30 = 0, 2 + 3 = -a. Suppose s - 100 = -4*n, 0 = -4*s + i*n + 449 - 87. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/7 - 10447397*u**2\/7 - 83579224*u\/7 - 167158480\/7 = 0. Calculate u.\nAnswer: -4, 10447405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16605903786053\/(-3438) + 14\/(-63). Let q = v + 4830105780. Let j = -2\/1719 - q. What is the common denominator of j and 27\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2790a (base 12) to base 3.\nAnswer: 2210021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -3, -2, 27\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15379 - -15395. What is the closest to -0.7 in 1.3, o, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = u - 5, u + 5*c - 11 + 16 = 0. Does u = -2\/4555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*n = 11, 0 = n + 4*n + 15. Is x at least -24\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 + 90\/25. Suppose -10 = l*b - 3*y, 5*b + 0*b - 3*y = -11. What is the second biggest value in -2, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.59 - -79.41. Let l = a - 86.1. Let w = l + 4.95. Round w to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275231 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqdzlhl. Give prob of picking 1 k and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 630 (c) 1\/256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microsecond in nanoseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4 and 29\/131688.\nAnswer: 131688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 16 - 114 = -16*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/((a*a**5)\/a)))\/a*a)\/(a\/(a\/a**(7\/3)))*a**(-6)\/(a*a\/(a*a**25)*a))**(-25) assuming a is positive.\nAnswer: a**(-1400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 40 = l - 2*l, 3*l - 2*d + 116 = 0. Let n be l\/(-88) + 6\/(-24). What is the third biggest value in -1, n, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -757014 >= -757005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*a - 30 = 2*u, -3*u - a - 112 = 0. Let l = 91 + -27. Let z = u + l. Calculate the remainder when 50 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -2*d - 66. Sort 1, d, -0.035 in ascending order.\nAnswer: -0.035, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 615 - 592. Solve g = -5*p - b, 13 = -3*p + 5*g - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = 2*c. Let z = 35 - 39. Let w = c - z. Solve -t - 1 = -w*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 8*a**2 - 1. Let k be n(3). Which is smaller: 1084\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4642 or -2?\nAnswer: -0.4642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22087 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 931 and 379183?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35475, 35484, 35497, 35514?\n\"Answer: 2*p**2 + 3*p + 35470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 26*i - 40. Let w be d(-13). Put 2, w, 4 in increasing order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (-4 + (sqrt(1053) - (4 + sqrt(1053)*2))*5)**2)*6.\nAnswer: -322776 - 25920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(208\/(-39)))\/(21\/(-16))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(600) + sqrt(600) + (sqrt(600)*-2 - sqrt(600)) + sqrt(600))\/(sqrt(8) + sqrt(96)\/sqrt(3) + sqrt(32))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 28 = 2*g + 40 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(43\/(-215))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3012)\/104 - (-39 + 10)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48915133 divided by 9?\nAnswer: -48915133\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.03, -3, -9\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 159804711 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/3 (c) -37 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 762 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96048685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340076, -339722, -339368, -339014, -338660, -338306?\nAnswer: -337952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 405*t**6 - 6*t**5 + 6*t**4 - 69056*t**2?\nAnswer: 48600*t**3 - 360*t**2 + 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*p - 15 = 0, -2*i + 6*i + 15 = -5*p. Suppose i = 2*k - 5 - 7. What is the units digit of (-3)\/k + (-9)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -504, -3998, -13470, -31908, -62300, -107634?\n\"Answer: -498*m**3 - m**2 - 5*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 0.1 (c) -0.077 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-24 - -1)) + 19 + -16. Suppose o = -j + 2*j. Suppose -j*p + 33*p + 39200000 = 0. What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 4*l + l)*(2 - 2 + 2*l)*(5*l - 3*l - 3*l) as k + i*l**3 + x*l**2 + a*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 15674575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:15 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -1. Let c(n) = 23*n**2 + w*n - 11 - 14*n**2 + 27 - 8*n**2. What is the tens digit of c(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -83, -216, -415, -686, -1035, -1468, -1991?\n\"Answer: -j**3 - 24*j**2 + 6*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by 29.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 101011101001100011 (base 2) to base 15\nAnswer: 37e92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011010110 (base 2) in base 13?\nAnswer: -348b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -119*q - 21778. Let u be c(-183). Let y = 5289 + -782769\/148. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5010.91 and -3.\nAnswer: -15032.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-330)\/(-30) + (-1 + 1 - 0) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (89 + -51 - 37) + -1 + 16 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/535332 and 29\/152952?\nAnswer: 1070664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {y: 9, d: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {c: 2, k: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -2\/7 (b) 5 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r - 34. Let o = 15 + r. Let x(s) = -11*s**3 + 2*s**2 - s - 1. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 4.0367097\nAnswer: 12.1101291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212*j**2*v**3 + 16*j*v**3 + 11*j*v**2 wrt j.\nAnswer: 424*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -122321 (base 4) to base 5\nAnswer: -23341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.5 + 7.4. Put r, 0.1, 8, 0.3 in ascending order.\nAnswer: r, 0.1, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*((-2*sqrt(2541) - sqrt(2541)) + sqrt(2541) + sqrt(2541) - sqrt(21)))\/((3*sqrt(18)*-2)\/(sqrt(6) + (sqrt(162)\/sqrt(3))\/sqrt(9))) + -3.\nAnswer: -3 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -514425, 2, 1, -4, 8, 3 in descending order.\nAnswer: 8, 3, 2, 1, -4, -514425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108560, -434537, -977832, -1738445, -2716376?\nAnswer: -3911625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13*p**3 + 3*p**2 + 2*p. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 34*j**2 - 59*j. Let g be f(2). Suppose -g = 3*c - c. Sort 4, 0, c in descending order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 6*b - 18. Let k be m(7). Let g = k - 70. What is the remainder when 2\/2*25*2 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 + 6*j - 14. Give b(-5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 13*i**7\/42 + i**4\/6 + 24*i. What is the third derivative of x(k) wrt k?\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2\/(-28))\/(21\/42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16*q**5 - 7*q**4 + 38*q**3 - 20*q**2 - 18*q + 18. Let n(a) = -7*a**5 + 4*a**4 - 19*a**3 + 10*a**2 + 8*a - 8. Let s(h) = 9*n(h) + 4*u(h). Factor s(x).\nAnswer: x**2*(x - 1)**2*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 23. Suppose -194 = -d*m + 6*m + 2*y, 4*y - 140 = 3*m. Let o = -26 - m. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3245374 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/(6\/(-1 + 43)). Let u be -1 - t\/9 - (-112)\/(-144). Let o(w) = -w**2 - 2*w. Let s be o(u). Solve 4*r - 3 - s = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 916405254?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(3\/5)\/n*n))\/((n**6\/n)\/n*n))**(-28)*((n\/(n*n**(-1))*n)\/(n**(-3)*n))**(9\/11) assuming n is positive.\nAnswer: n**(7264\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 198162*b - 12. Let y(a) = 2*a. Determine p(y(w)).\nAnswer: 396324*w - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5 - 17 = 4*d, 5*d = -r + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -158 - 238. Suppose -46 = 4*m - 3*o + 482, -3*o + x = -m. Let q be (m\/(-30))\/((-2)\/(-100)). What is the greatest common divisor of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 8*y + 2. What is the remainder when 38 is divided by f(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5090313 - 0.509. Round t to seven dps.\nAnswer: 0.0000313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 10 = -3*v + y, 3*y = 4*v - 16. Let o be (2 - 1) + 2 + -5. Let b be (v - 2)*2\/o. Solve -b - 2 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 - 12*c**2 + 16 = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22204 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*i + 6, -74*t = -76*t + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -19*m**2 - 13*m**2 + 28*m**2. Let i be -2*3*15\/18. Let o be (3\/1)\/(i + 8). Give u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1686 and 132225393.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6 - 7 + 13 + 7*n - 13. Let t be w(5). Solve t = -2*k + 4*o, 2 + 17 = -5*k + o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220 - 10101?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*p + 48*p. Suppose -2*n + 4*z - 6 = -26, 25 = 4*n - 3*z. Suppose -n*l + 5*i + 412 = p, -3*i = -l + 67 + 43. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -429043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 - (20 + -206 + 96)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -33, 3\/8, -0.5, -0.1, -3.086?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168202.\nAnswer: 2, 37, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -118, -164, -210?\n\"Answer: -46*r - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 841 + -794. Let g be 3\/(-6)*2 + -1. What is the remainder when v is divided by -2 - (-18 - (2 + g))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28839 and 446.\nAnswer: -128.62194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(0*j**2 - 2*j**2 + 0*j**2) + 4*j**2 + 5*j**2 - 5*j**2 + (-j**2 + j**2 - j**2)*(0 + 1 + 1).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30599.\nAnswer: 37, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 2*i + 53 + 112)*(12*i - 8*i - 2*i).\nAnswer: -4*i**2 + 204*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44451 + 71384. Suppose 11803 = 36*x - q. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 605 - -372009?\nAnswer: 372613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/120 - g**5\/30 - g**4\/24 + g**3\/3 + 3*g**2. Let m be b(2). Suppose 4*k + 5*r - 1472 = -m*r, -16 = 4*r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0031 (b) 3 (c) 24.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**2 - 4*l**2 + 7*l**2 + 2 - 2*l**2 - 2 + (2*l**2 - l**2 + 2*l**2)*(-11 + 5 - 7) + l**2 + l**2 - l + 0*l**2.\nAnswer: -42*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*(-615)\/2952*140\/15.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.143 - 5.143. Sort 17, -1\/6, 5, l in decreasing order.\nAnswer: 17, 5, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*626.\nAnswer: -30674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 5*z**2 - 3*z + 2 + 3*z**3. List the prime factors of x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w + 253 + 131 = 23*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-35))\/(139\/12649)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:25 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299180 rounded to the nearest 10000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = -f - 39*o + 580435, -3*o = -15. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -0.4 (c) -0.105 (d) 4\/3 (e) -1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.82982 to 2 decimal places.\nAnswer: 94.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*x + 8*x**2 - 2038*x**3 + 44 + 2043*x**3 - 175*x**6 - 6*x**2 wrt x?\nAnswer: -21000*x**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48.57017 and -0.11.\nAnswer: 5.3427187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2895 is divided by 223.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1333 - 1350. Let s(q) = 0*q - 2*q + q + 7. Let l(y) = -3*y + 20. What is j*s(x) + 6*l(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274333?\nAnswer: 274333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 14*t**4 + 16*t**4 + 2 - 18*t**2 - 4223*t + 3*t**3 + 4221*t to v*t + g + r*t**3 + c*t**4 + k*t**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01836 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 2\/((-4)\/(-58)). Let g = 1 + 3. Solve l = 5*n + h, -17 - 1 = g*n + 2*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n - 25. What is t(5)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00636 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20*v - 171 = 0. What is the hundreds digit of v*(-194)\/6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*l + 45*l - 9568 = 213*l + l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 8*b + 12. Let w(g) = -3*g + 4. Let h(d) = 3*a(d) - 8*w(d). Let j(t) = 1. What is -h(p) + 4*j(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/162 - -319\/810. Let i = -23.7 + -3.3. Let x = -1\/1159 - -2333\/17385. What is the second smallest value in x, m, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1229 - -1618?\nAnswer: 2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 + -0.1. Let k = -0.9 + 0.91. Let x = -3.01 + k. Which is the third smallest value? (a) x (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 6 = 0. Let z = d - -18. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704637*b**2 + 352325*b**2 + 352458*b**2.\nAnswer: 146*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 9) + -7 + (-570)\/(-42). Which is the closest to 0.1? (a) -2\/5 (b) y (c) 2\/7 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-66)\/15)\/(22\/(-55)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 2*l + 1. Suppose -659 = -11*d - 626. Suppose 8*m = 5*m - 15. Let b = d + m. Give p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -766.3 times 52.8\nAnswer: -40460.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/144)\/((-119)\/28).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -38*w + 4028. Sort 2, 4, w in increasing order.\nAnswer: 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 337 + -334.12. What is g rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let y(t) = 1500*t - 720. Let b(w) = -14*w + 6. Let u(r) = 120*b(r) + y(r). Calculate u(x(g)).\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-18) + -4)\/(((-122)\/(-854))\/(2\/(-861))).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02177 + 0.0294. Let x = 0.0072 - f. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2. Let g(d) = 14*d**2. Determine z(g(h)).\nAnswer: -784*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23002.3924 - -0.0003.\nAnswer: -23002.3921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2 + -2)*3.\nAnswer: -6*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.19705715 - 1.197. What is b rounded to 6 dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 9216 + 3210. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6624876 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.0895.\nAnswer: 2.0895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*f + 316. Suppose 4*q - f = 2*s, -237 = -3*q - 5*s + 2*s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236253 and 404430?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5043 is divided by 2291.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 43.086. Let p = d - 39.914. Let h = 39.9953 + p. What is h rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12.07 (b) 4 (c) 626\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2 - 99*r + 124. What is v(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1969481km?\nAnswer: 196948100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -4\/9, 548 in decreasing order.\nAnswer: 548, 160, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 152349600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/6787 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2656)\/(-3300) + (-246)\/(-18450)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18382294 is divided by 212.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 1. Let q(t) be the second derivative of 4*t**3\/3 + 2*t**2 - 1862*t. Suppose -2*l + 9 + 9 = 0. Determine l*m(z) + 2*q(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153857711 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*(-150)\/20 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = 5*m, 2*f + 2*m - 14 = 0. Calculate the remainder when 3\/((-215)\/(-106) - f) is divided by (8\/(-6))\/((-2)\/27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w - 20*w - 36*w + (1 + 0 - 4)*(-3*w - w + 3*w) + w - 4*w + w - 1 + w + 1 to the form z*w + a and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58262, -116510, -174750, -232982, -291206, -349422, -407630?\n\"Answer: 4*l**2 - 58260*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**5 + 4*w**5 - 5*w**5)*(-19 - 6 + 86) - 2*w**5 + 2*w**5 - 2*w**5 + (4*w - 4*w - w)*(-w**3 - w**4 + w**3) - 52*w**5 + 12*w**5 + 27*w**5.\nAnswer: 108*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8)\/y*y*y**(-5\/4)*y*(((y**7*y)\/y)\/y)\/(y\/((y*y\/((y**(-2\/9)*y)\/y))\/y)*y) assuming y is positive.\nAnswer: y**(503\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43680318, -43680322, -43680326, -43680330?\n\"Answer: -4*u - 43680314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 13*k**2 - 255*k - 2971. What is b(-11)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344 + -10.3?\nAnswer: -10.3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a59 + -1?\nAnswer: -2a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*v - 200, -2*v - 2*v = -h + 40. Let 1244 + 94*w - 611 - 16*w + 6*w**3 - 597 + h*w**2 = 0. What is w?\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 3. Let i be b(-5). Suppose 0 = 2*q + 2, -4*d + 0*q - i*q + 26 = 0. Solve d = -5*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 555456*y**3 - 76783784814*y**2 - 96942949709760*y - 30460226982102225.\nAnswer: -(y - 278355)**2*(y + 627)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189 by -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -158 + 126 - (52 + 0).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + 2 - sqrt(190)\/(sqrt(40)\/sqrt(4)).\nAnswer: -3*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let p(y) be the second derivative of -y**4\/6 - y**3\/3 - 4*y. Let b(d) = 2*j(d) - p(d). Let n(f) = 8*f**2. Calculate n(b(h)).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4845 - 106617\/22. Let u = 3\/11 - r. Which is the third smallest value? (a) 0.06 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 178 = -o - 729, -5*o = -2*t + 225. Suppose 0 = 2*z - t - 4998. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/56)\/(3 - 2). Let s = 5\/4 + m. Let b be 22\/(-33) + 13\/(-3). Sort -0.1, s, -3, b in increasing order.\nAnswer: b, -3, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/104 - 1\/8. Suppose -17 = -15*m - 2*m. Let z = 5 - 7. What is the biggest value in z, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.49 + 0.99. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29382 and 632958.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9672 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1537, -1431, -1327, -1231, -1149, -1087, -1051?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*g**3*l**2 + 4*g**3*l + 2*g**2*l**2 + 13*g*l**2 - 2*l**2 wrt g.\nAnswer: -192*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 94.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/61)*k)\/k)\/k**6 assuming k is positive.\nAnswer: k**(-364\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(178\/(-10) - 12\/12). Let b = t - 83. What is the remainder when 108 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/4, -4, -0.51?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*g = g - 383, -2*u = -2*g - 392. Suppose -p = 5*f - 87, 5*f + u = 3*p + 3*f. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r + 6. Let d(s) = -1. Let l(v) = -b(v) - 6*d(v). Let w(m) = -m**2. Determine w(l(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 12, w: 1, s: 2, p: 2, z: 2}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/8 - 12*t**2 + 699*t\/8 + 399\/4.\nAnswer: 3*(t - 19)*(t - 14)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-40))\/((-42)\/315). Solve -7*a + 8*a = -5*d - 22, 0 = -d + 5*a + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-16)*-6 + ((-57)\/(-4) - 15). Put -2, b, -153 in increasing order.\nAnswer: -153, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + ((sqrt(5) + 1)*4)**2)*-2.\nAnswer: -192 - 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2719 and 6.6.\nAnswer: 17945.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in -3, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*p + 100*p + 5*p - 1 + (3 - 1 - 1)*(-4*p + 3*p - p).\nAnswer: 120*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1043, 8237, 27695, 65549, 127931, 220973, 350807?\nAnswer: 523565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - -3 - (0 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1066 and -11\/442.\nAnswer: 18122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632123*s**2 + 316445*s**2 + 316091*s**2.\nAnswer: 413*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9335*b**3 + 4049*b**3 + 392*b**3.\nAnswer: 13776*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 4032?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3 + 7*x**2 + 14*x - 4*x + 7 + 6*x**2. Let s be y(-4). Let u = s - -277. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {p: 2, y: 1, b: 2, r: 1, f: 1, x: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.88866 to zero dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15153949?\nAnswer: 131, 115679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -1\/2*v**2 - 7 + 3*v. Let p(l) = -1. Let i(t) = -1. Let x(k) = 2*i(k) - p(k). What is -n(j) - x(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 + 8*u**3 - 2*u**2 + 2*u**2 + 8*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(640)*2)\/(((sqrt(48)\/sqrt(2))\/sqrt(3))\/(sqrt(4) + sqrt(48)\/sqrt(48))).\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/21, -4, -0.2 in increasing order.\nAnswer: -4, -10\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.5, 2\/17, 2\/15.\nAnswer: -0.5, 0.06, 2\/17, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 8*i**2 - 7*i - 16. Let m be y(7). Let n = 11 + m. What is the closest to n in 0, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1116\/930)\/(27\/(-140)).\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(9\/8)\/g))**(1\/5)*g**(2\/39)*g**(-6) assuming g is positive.\nAnswer: g**(-9319\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 2040102.\nAnswer: 16320816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.1 + 12.396. Let m = -0.73 - k. Round m to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of (-16)\/(-9) + -2 - 336493704\/(-8478)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 36, 4, 3, -44, 0, 6 in ascending order.\nAnswer: -46, -44, 0, 3, 4, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (5 + -2*sqrt(112)) - sqrt(112)*-1*1 - (sqrt(112)*3*5 + 5))**2.\nAnswer: 880*sqrt(7) + 13652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 6484 = 2*s - 2*k, 6478 = 4*s + 5*k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465072897 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 22 = 5*t, -108*t - 227*g - 552 = -223*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**7\/14 - 7*u**4\/8 + u**3\/3 + 55*u**2 - 2*u. Find the second derivative of o(v) wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -73*y - 19. Let h(s) = s. Let b(f) = -5*h(f) + m(f). What is the first derivative of b(g) wrt g?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2131, 2126, 2101, 2056?\n\"Answer: -10*c**2 + 25*c + 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -30. Which is the third biggest value? (a) v (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-46) - (-7661)\/(-1081).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*a**5 - 49*a**5 + 2*a - 1134 + a + 395*a**5 wrt a?\nAnswer: 4420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 10828118.\nAnswer: 108281180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10011011111101110100010?\nAnswer: 10011011111101110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u - 7. Let l(m) = 8*m - 6. Let z(k) = 6*c(k) - 7*l(k). Let y(p) = -p. Let d(g) = 14*y(g) - 6*z(g). Let r(x) = -79*x**2. What is r(d(j))?\nAnswer: -316*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10495*k - 94*k**2 - 147*k**2 - 10495*k.\nAnswer: -241*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:51 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129772 is divided by 252?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 107*n - 41*n - 15*n to the form r*n + d and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 80 (b) -1 (c) -4 (d) -0.83 (e) -5\/4 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(23\/(-76) - (-5)\/20). Suppose -t + 3*t + 30 = 5*o, -4*o - 5*t + n = 0. Solve -o = -u + 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45793460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Let p(s) = 48*s**2 - 1. Let o be p(-1). Suppose f*d + 15 = o. Calculate the remainder when 14 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 q when four letters picked without replacement from {q: 4, t: 3, m: 4, o: 3, f: 3}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021746 to 5 decimal places.\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2. Let x(m) = m - 3. Let r be x(6). Let p be (1 - 0)*(5 - r). Let q(w) = -5*w**2 + 8*w**2 - 3*w**p - 2*w**2. Calculate q(i(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 124*a**3 - 951*a**2 - 1710*a + 1600.\nAnswer: -(a + 5)**2*(a + 32)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1024803 divided by -13\nAnswer: 78831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 9*d. Let y be (-2)\/4 + (-7)\/2. Which is the nearest to d? (a) 0 (b) y (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 31. Let i be q(-5). What is the second smallest value in 10, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 minus 261471.44?\nAnswer: -261563.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 + 109. Let u = r - -86.95. Round u to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 7*c + 6. Let x(w) = -27*w**2 - 30*w + 1. Let o be x(-1). Sort o, 2, c in descending order.\nAnswer: o, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-3)*d**(-3)*d assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1583478 and -103\/1326?\nAnswer: 26919126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-228)\/(-54) + 6\/(-27). Suppose 4*o = -2*a - o + 13, 3*o = -i*a + 33. Differentiate 8*k**3 + a + 14 + 4 wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 231*d**2 + 230*d**2 - 685*d**2 + 224*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -335bef (base 16) to base 9\nAnswer: -6300086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6 less than -3935?\nAnswer: -3963.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 186594 <= 186699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, w: 2, q: 7}. What is prob of picking 2 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6810.76 weeks to hours.\nAnswer: 1144207.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}